Differential Equations is also an acceptable option. Consult department for other alternatives. | |
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Further information on undergraduate programs may be obtained from the MechE Undergraduate Office , Room 1-110, 617-253-230.
Master of science in ocean engineering/master of science in naval architecture and marine engineering/master of science in oceanographic engineering, master of engineering in advanced manufacturing and design, mechanical engineer's degree, naval engineer's degree—program in naval construction and engineering, doctor of philosophy and doctor of science, graduate study.
The Department of Mechanical Engineering (MechE) provides opportunities for graduate work leading to the following degrees: Master of Science in Mechanical Engineering, Master of Science in Ocean Engineering, Master of Science in Naval Architecture and Marine Engineering, Master of Science in Oceanographic Engineering, Master of Engineering in Manufacturing, degree of Mechanical Engineer, degree of Naval Engineer, and the Doctor of Philosophy (PhD) or Doctor of Science (ScD), which differ in name only.
The Master of Engineering in Manufacturing degree is a 12-month professional degree intended to prepare students for technical leadership in the manufacturing industries.
The Mechanical Engineer's and Naval Engineer's degrees offer preparation for a career in advanced engineering practice through a program of advanced coursework that goes well beyond the master's level. These degrees are not a stepping stone to the PhD.
The Doctor of Philosophy (or Science), the highest academic degree offered, is awarded upon the completion of a program of advanced study and significant original research, design, or development.
Applications to the mechanical engineering graduate program are accepted from persons who have completed, or will have completed by the time they arrive, a bachelor's degree if they are applying for a master's degree, or a master's degree if they are applying for a PhD. Most incoming students have a degree in mechanical engineering or ocean engineering, or some related branch of engineering. The department's admission criteria are not specific, however, and capable students with backgrounds in different branches of engineering or in science may gain entry. Nevertheless, to qualify for a graduate degree, the candidate is expected to have had at least an undergraduate-level exposure to the core subject areas in mechanical engineering (applied mechanics, dynamics, fluid mechanics, thermodynamics, materials, control systems, and design) and to be familiar with basic electrical circuits and electromagnetic field theory.
Applications for September entry are due on December 15 of the previous year and decisions are reported in March. International students applying from abroad may be admitted, but they will be allowed to register only if they have full financial support for the first year.
All applicants to the graduate program in mechanical engineering must submit the GRE test results. International students whose native language is not English are required to take either the International English Language Testing System (IELTS) exam and receive a minimum score of 7 or the TOEFL exam with a minimum acceptable score of 577 (PBT), 233 (CBT) or 100 (iBT).
At the end of the junior year, extraordinarily qualified students in the Department of Mechanical Engineering will be invited to apply for early admission to the graduate program. Students who are admitted will then be able to enroll in core graduate subjects during the senior year and to find a faculty advisor who is willing to start and advise research for the master's thesis while the student is still in the senior year. With the consent of the faculty advisor, the student may also use a portion of the work conducted towards the master's thesis in the senior undergraduate year to satisfy the requirements of the bachelor's thesis.
The Mechanical Engineering Department requires that all incoming graduate students demonstrate satisfactory English writing ability, or successfully complete appropriate training in writing. This requirement reflects the faculty's conviction that writing is an essential skill for all engineers. All incoming graduate students, native as well as international, must take the departmental writing ability test, which is administered online in June. Depending on the results, a student will either pass or be required to take a short course during the Independent Activities Period (IAP) in January.
To qualify for the Master of Science in Mechanical Engineering, a student must complete at least 72 credits of coursework, not including thesis. Of these, at least 48 must be graduate subjects (refer to the Guide to Graduate Study [PDF] on the MechE website). The remainder of the 72 units may include advanced undergraduate subjects that are not requirements in the undergraduate mechanical engineering curriculum.
At least three of the graduate subjects must be taken in mechanical engineering sciences (refer to the Guide to Graduate Study [PDF] on the MechE website). Students must take at least one graduate mathematics subject (12 units) offered by the MIT Mathematics Department. For the Master of Science in Oceanographic Engineering, see also the requirements listed in the Joint Program with Woods Hole Oceanographic Institution.
Finally, a thesis is required. The thesis is an original work of research, development, or design, performed under the advisement of a faculty or research staff member, and is a major part of any graduate program in the Mechanical Engineering Department. A master's student usually spends as much time on thesis work as on coursework. A master's degree usually takes about one and one-half to two years to complete.
The requirements for each of these three degrees are that the student takes 72 credit units of graduate subjects and complete a thesis.
At least three of the subjects must be chosen from a prescribed list of ocean engineering subjects (refer to the Guide to Graduate Study [PDF] on the MechE website). Students must also take at least one graduate mathematics subject (12 units) offered by MIT's Mathematics Department. For the Master of Science in Oceanographic Engineering, see also the requirements listed under the Joint Program with Woods Hole Oceanographic Institution.
The required thesis is an original work of research, development, or design, conducted under the advisement of a faculty or senior research staff member. The thesis usually takes between one and two years to complete.
The Master of Engineering in Advanced Manufacturing and Design is a 12-month professional degree in mechanical engineering that is intended to prepare the student to assume a role of technical leadership in the manufacturing industries. The degree is aimed at practitioners who will use this knowledge to become leaders in existing, as well emerging, manufacturing companies. To qualify for this degree, a student must complete a highly integrated set of subjects and projects that cover the process, product, system, and business aspects of manufacturing, totaling 90 units, plus complete a group-based thesis project with a manufacturing industry. While centered in engineering and firmly grounded in the engineering sciences, this degree program considers the entire enterprise of manufacturing. Students will gain both a broad understanding of the many facets of manufacturing and a knowledge of manufacturing fundamentals from which to build new technologies and businesses. The admission process is identical to that of the Master of Science degree, with the exception that two additional essay questions are required.
Learners who earn an MITx Principles of Manufacturing MicroMasters Credential may apply to the Advanced Manufacturing and Design program and, upon acceptance, would be credited 48 units of advanced standing credit (equivalent to approximately one-third of the full degree program and one semester on campus).
The Mechanical Engineer's degree provides an opportunity for further study beyond the master's level for those who wish to enter engineering practice rather than research. This degree emphasizes breadth of knowledge in mechanical engineering and its economic and social implications, and is quite distinct from the PhD, which emphasizes depth and originality of research.
The engineer's degree requires a broad program of advanced coursework in mechanical engineering totaling at least 162 credit units (typically about 14 subjects), including those taken during the master's degree program. The engineer's degree program is centered around the application of engineering principles to advanced engineering problems and includes a Mechanical Engineering examination and an applications-oriented thesis, which may be an extension of a suitable master's thesis. An engineer's degree typically requires at least one year of study beyond the master's degree.
The Naval Construction and Engineering (NVE) program provides US Navy and US Coast Guard officers, foreign naval officers, and civilian students interested in ships and ship design a broad graduate-level education for a career as a naval engineer.
The program leads to the Naval Engineer's degree, which requires a higher level of professional competence and broader range of knowledge than is required for the degree of Master of Science in Naval Architecture and Marine Engineering or Ocean Engineering. Subjects in the areas of economics, industrial management, and public policy and law, and at least 12 units of comprehensive design are required, in addition to an in-depth curriculum that includes naval architecture, hydrodynamics, ship structures, materials science, and power and propulsion. The program is appropriate for naval officers and civilians who plan to participate in the design and construction of naval ships, as well as those interested in commercial ship design.
For students working toward a simultaneous Naval Engineer's degree and a master's degree, a single thesis is generally acceptable, provided it is appropriate to the specifications of both degrees, demonstrating an educational maturity expected of the Naval Engineer's degree.
The highest academic degree is the Doctor of Science, or Doctor of Philosophy (the two differ only in name). This degree is awarded upon the completion of a program of advanced study, and the performance of significant original research, design, or development. Doctoral degrees are offered in all areas represented by the department's faculty.
Students become candidates for the doctorate by passing the doctoral qualifying examinations. The doctoral program includes a major program of advanced study in the student's principal area of interest, and a minor program of study in a different field. The MechE Graduate Office should be consulted about the deadline for passing the qualifying exam.
The principal component of the program is the thesis. The thesis is a major, original work that makes a significant research, development, or design contribution in its field. The thesis and the program of study are done under a faculty supervisor and a doctoral committee selected by the student and his or her supervisor, and perhaps other interested faculty members. The committee makes an annual examination of the candidate's progress and makes a final recommendation for a public defense of the work. The doctoral program typically requires three years of work beyond the master's degree, although this time is strongly topic dependent.
Graduate students registered in the Department of Mechanical Engineering may elect to participate in interdisciplinary programs of study.
The Master of Science in Computational Science and Engineering (CSE SM) is an interdisciplinary program for students interested in the development, analysis, and application of computational approaches to science and engineering. The curriculum is designed with a common core serving all science and engineering disciplines and an elective component focusing on specific disciplinary topics. Students may pursue the CSE SM as a standalone degree or as leading to the CSE PhD program described below.
The Interdisciplinary Doctoral Program in Computational Science and Engineering (CSE PhD) allows students to specialize at the doctoral level in a computation-related field of their choice through focused coursework and a thesis through one of the participating host departments in the School of Engineering or School of Science. The program is administered jointly by the Center for Computational Science and Engineering (CCSE) and the host departments; the emphasis of thesis research activities is the development of new computational methods and/or the innovative application of computational techniques to important problems in engineering and science.
For more information, see the program descriptions under Interdisciplinary Graduate Programs.
The Joint Program with the Woods Hole Oceanographic Institution (WHOI) is intended for students whose primary career objective is oceanography or oceanographic engineering. Students divide their academic and research efforts between the campuses of MIT and WHOI. Joint Program students are assigned an MIT faculty member as academic advisor; thesis research may be advised by MIT or WHOI faculty. While in residence at MIT, students follow a program similar to that of other students in their home department. The program is described in more detail under Interdisciplinary Graduate Programs.
The 24-month Leaders for Global Operations (LGO) program combines graduate degrees in engineering and management for those with previous postgraduate work experience and strong undergraduate degrees in a technical field . During the two-year program, students complete a six-month internship at one of LGO's partner companies, where they conduct research that forms the basis of a dual-degree thesis. Students finish the program with two MIT degrees: an MBA (or SM in management) and an SM from one of eight engineering programs, some of which have optional or required LGO tracks. After graduation, alumni lead strategic initiatives in high-tech, operations, and manufacturing companies.
The Program in Polymers and Soft Matter (PPSM) offers students from participating departments an interdisciplinary core curriculum in polymer science and engineering, exposure to the broader polymer community through seminars, contact with visitors from industry and academia, and interdepartmental collaboration while working towards a PhD or ScD degree.
Research opportunities include functional polymers, controlled drug delivery, nanostructured polymers, polymers at interfaces, biomaterials, molecular modeling, polymer synthesis, biomimetic materials, polymer mechanics and rheology, self-assembly, and polymers in energy. The program is described in more detail under Interdisciplinary Graduate Programs.
The Master of Science in Technology and Policy is an engineering research degree with a strong focus on the role of technology in policy analysis and formulation. The Technology and Policy Program (TPP) curriculum provides a solid grounding in technology and policy by combining advanced subjects in the student's chosen technical field with courses in economics, politics, quantitative methods, and social science. Many students combine TPP's curriculum with complementary subjects to obtain dual degrees in TPP and either a specialized branch of engineering or an applied social science such as political science or urban studies and planning. See the program description under the Institute for Data, Systems, and Society.
The Department of Mechanical Engineering offers three types of financial assistance to graduate students: research assistantships, teaching assistantships, and fellowships.
The majority of students in the department are supported by research assistantships (RAs), which are appointments to work on particular research projects with particular faculty members. Faculty members procure research grants for various projects and hire graduate students to carry out the research. The research is almost invariably structured so that it becomes the student's thesis. An RA appointment provides a full-tuition scholarship (i.e., covers all tuition) plus a salary that is adequate for a single person. The financial details are outlined in a separate handout available from the MechE Graduate Office. An RA may register for a maximum of 24 units (about two subjects) of classroom subjects per regular term and 12 units in the summer term, and must do at least the equivalent of 24 units of thesis (i.e., research on the project) per term. (Please note that Master of Engineering in Manufacturing students are not eligible for RA or TA positions since their subject credits exceed these limits.)
Teaching assistants (TAs) are appointed to work on specific subjects of instruction. As the name implies, they usually assist a faculty member in teaching, often grading homework problems and tutoring students. In the Mechanical Engineering Department, TAs are very seldom used for regular full-time classroom teaching. Full-time TAs are limited to 24 units of credit per regular term, including both classroom subjects and thesis. The TA appointment does not usually extend through the summer.
A fellowship provides the student with a direct grant, and leaves the student open to select his or her own research project and advisor. A limited number of awards and scholarships are available to graduate students directly through the department. A number of students are also supported by fellowships from outside agencies, such as the National Science Foundation, Office of Naval Research, and Department of Defense. Scholarships are awarded each year by the Society of Naval Architects and Marine Engineers. These awards are normally granted to applicants whose interest is focused on naval architecture and marine engineering or on ocean engineering. Applications are made directly to the granting agency, and inquiries for the fall term should be made in the preceding fall term.
Prospective students are invited to communicate with the Department regarding any of these educational and financial opportunities.
Experience has shown that the optimum graduate program consists of about equal measures of coursework and research, consistent with an RA appointment. The main advantage of a fellowship is a greater freedom in choosing a research project and advisor. A teaching assistantship gives the student teaching experience and can also be extremely valuable for reviewing basic subject material—for example, in preparation for the doctoral qualifying exams. It does not, however, leave much time for thesis research and may extend the time that the student needs to complete his or her degree.
For additional information on mechanical engineering graduate admissions, contact Una Sheehan. For general inquiries on the mechanical engineering graduate program, contact Leslie Regan. All can be reached in the MechE Graduate Office , Room 1-112, 617-253-2291.
The Mechanical Engineering Department is organized into seven areas that collectively capture the broad range of interests and activities within it. These areas are:
Controls, instrumentation, and robotics, energy science and engineering, ocean science and engineering, bioengineering, nano/micro science and technology.
The educational opportunities offered to students in mechanical engineering are enhanced by the availability of a wide variety of research laboratories and programs, and well-equipped shops and computer facilities.
The department provides many opportunities for undergraduates to establish a close relationship with faculty members and their research groups. Students interested in project work are encouraged to consult their faculty advisor or approach other members of the faculty.
Many members of the Department of Mechanical Engineering participate in interdepartmental or school-wide research activities. These include the Center for Biomedical Engineering, Center for Computational Science and Engineering, Computational and Systems Biology Program, Computer Science and Artificial Intelligence Laboratory, Institute for Soldier Nanotechnologies, Laboratory for Manufacturing and Productivity, Materials Research Science and Engineering Center, MIT Energy Initiative, Operations Research Center, Program in Polymers and Soft Matter, and Sea Grant College Program. Detailed information about many of these can be found under Research and Study and Interdisciplinary Graduate Programs. The department also hosts a number of industrial consortia, which support some laboratories and research projects. Research in the department is supported, in addition, by a broad range of federal agencies and foundations.
A partial list of departmental laboratories, listed according to the seven core areas of research, follows.
Amp mechanical behavior of materials laboratory.
Mechanisms of deformation and fracture processes in engineering materials.
Interdisciplinary research into nonlinear phenomena. Incorporates the Nonlinear Dynamical Systems Lab (modeling, simulation, analysis), Nonlinear Dynamics Lab (experiments), and Nonlinear Systems Lab.
Development of quantitative nondestructive evaluation characterizations which are directly correlatable with the mechanical properties of materials and structures.
Computational procedures for the solution of problems in structural, solid, and fluid mechanics.
Fundamental research on the behavior of complex fluid systems at microscopic scales, and associated engineering applications.
Creation of the "Internet of Things" using radio frequency identification and wireless sensor networks, and of a global system for tracking goods using a single numbering system called the Electronic Product Code.
Advancing the state of the art in design methodology and computer-aided design methods.
An interdepartmental laboratory in the School of Engineering. Polymer microfabrication for microfluidic devices, chemical mechanical planarization for the semiconductor industry, precision macro- and micro-scale devices, and novel metrology methods for micro-scale devices. Small-scale fuel cells design, photovoltaic material and process research, and manufacture of photovoltaic panels. Identification technologies such as RFID, wireless sensors, and complex systems. Methods to integrate data and models across global networks. Factory-level manufacturing systems design and control, and supply chain design and management. Environmentally benign manufacturing.
Design methodology, design of integrated electrical-mechanical systems, prototype development, advanced computer-aided design techniques.
Research to understand complexity, educating students and scholars on complexity, designing complex systems for the benefit of humankind, and disseminating knowledge on complexity to the world at large.
Fundamental and applied research on all aspects of the design, manufacture, and control of high precision machines ranging from manufacturing machines to precision consumer products.
Modeling, design, and manufacturing methods for nanopositioning equipment, carbon nanotube-based mechanisms and machines, and compliant mechanisms.
Research on mechatronics, home and health automation, interface between hardware and software, and development of sensing technologies.
Fundamental physics of robotic systems for unstructured environments. Development, design, and prototyping of control and planning algorithms for robotic applications, including space exploration, rough terrains, sea systems, and medical devices and systems.
Analysis and control of nonlinear physical systems with emphasis on adaptation and learning in robots.
Innovative science and technology for a sustainable energy future in a carbon-constrained world. Fundamental and applied research in energy conversion and transportation, with applications to low-carbon efficient energy and propulsion systems. Includes several research groups:
Application of thermodynamics, heat transfer, and mechanical design to cryogenic processes and instrumentation and the operation of a liquid helium facility.
Fundamental research in microscale/nanoscale transport, convection, laser/material interaction, and high heat fluxes; applied research in water purification, thermoelectric devices, energy-efficient buildings, and thermal management of electronics.
Provides an enduring ocean engineering identity, giving visibility to the outside world of MIT's commitment to the oceans, and serves as the focus point of ocean-related research at the Institute. Supports the research activities of the MIT-WHOI Joint Program in Oceanographic Engineering and the Naval Construction and Engineering Program. Encompasses the activities of the following research groups and laboratories:
Utilization of biology, optics, mechanics, mathematics, electronics, and chemistry to develop innovative instruments for the analysis of biological processes and new devices for the treatment and diagnosis of disease.
Interdisciplinary studies aimed at understanding human haptics, developing machine haptics, and enhancing human-machine interactions in virtual reality and teleoperator systems.
Development of new instruments for the measurement of mechanical properties on the scale of a single cell or single molecule to better understand the interactions between biology and mechanics.
Research on bioinstrumentation, neuromuscular control, and technology for diagnosis and remediation of disabilities.
Creation of new engineering knowledge and products on the nano and micro scale through multidomain, multidisciplinary, and multiscale research.
A. John Hart, PhD
Professor of Mechanical Engineering
Head, Department of Mechanical Engineering
Sangbae Kim, PhD
Associate Head, Department of Mechanical Engineering
(On leave, spring)
John J. Leonard, PhD
Samuel C. Collins Professor
Professor of Mechanical and Ocean Engineering
Ellen Roche, PhD
Latham Family Career Development Professor
Associate Professor of Mechanical Engineering
Core Faculty, Institute for Medical Engineering and Science
Rohan Abeyaratne, PhD
Quentin Berg (1937) Professor of Mechanical Engineering
Triantaphyllos R. Akylas, PhD
Lallit Anand, PhD
Warren and Townley Rohsenow Professor
H. Harry Asada, PhD
Ford Foundation Professor of Engineering
George Barbastathis, PhD
Mark Bathe, PhD
Professor of Biological Engineering
(On leave, fall)
John G. Brisson II, PhD
Markus J. Buehler, PhD
Jerry McAfee (1940) Professor in Engineering
Professor of Civil and Environmental Engineering
Cullen R. Buie, PhD
Tonio Buonassisi, PhD
Professor of Mechanical Engineering and Manufacturing
Gang Chen, PhD
Carl Richard Soderberg Professor in Power Engineering
Wai K. Cheng, PhD
Jung-Hoon Chun, PhD
Martin L. Culpepper, PhD
Domitilla Del Vecchio, PhD
George N. Hatsopoulos (1949) Faculty Fellowship in Interdisciplinary Research
Elazer R. Edelman, MD, PhD
Edward J. Poitras Professor in Medical Engineering and Science
Professor of Medicine, HMS
Daniel Frey, PhD
Ahmed F. Ghoniem, PhD
Ronald C. Crane (1972) Professor
Lorna Gibson, PhD
Hopewell Fund Professor Post-Tenure of Materials Science and Engineering
Professor Post-Tenure of Mechanical Engineering
Leon R. Glicksman, PhD
Professor Post-Tenure of Building Technology
Stephen C. Graves, PhD
Abraham J. Siegel Professor Post-Tenure of Management
Professor Post-Tenure of Operations Management and Leaders for Global Operations
Member, Institute for Data, Systems, and Society
Linda G. Griffith, PhD
School of Engineering Professor of Teaching Innovation
Timothy G. Gutowski, PhD
Nicolas Hadjiconstantinou, PhD
David E. Hardt, PhD
Ralph E. and Eloise F. Cross Professor in Manufacturing
Douglas Hart, PhD
Asegun Henry, PhD
Neville Hogan, PhD
Sun Jae Professor in Mechanical Engineering
Professor of Brain and Cognitive Sciences
Anette E. Hosoi, PhD
Neil and Jane Pappalardo Professor
Professor of Mathematics
Ian Hunter, PhD
George N. Hatsopoulos Professor in Thermodynamics
Roger Dale Kamm, PhD
Cecil H. Green Distinguished Professor Post-Tenure
Professor Post-Tenure of Biological Engineering
Rohit N. Karnik, PhD
Tata Professor
Sang-Gook Kim, PhD
Robert Langer, ScD
David H. Koch (1962) Institute Professor
Professor of Chemical Engineering
Affiliate Faculty, Institute for Medical Engineering and Science
Steven B. Leeb, PhD
Emanuel E. Landsman (1958) Professor
Professor of Electrical Engineering
Pierre F. J. Lermusiaux, PhD
Nam Pyo Suh Professor
John H. Lienhard, PhD
Abdul Latif Jameel Professor of Water and Food
Seth Lloyd, PhD
Nicholas Makris, PhD
Scott R. Manalis, PhD
David H. Koch Professor in Engineering
Associate Head, Department of Biological Engineering
Wojciech Matusik, PhD
Joan and Irwin M. (1957) Jacobs Professor
Professor of Electrical Engineering and Computer Science
Gareth H. McKinley, PhD
David M. Parks, PhD
Anthony T. Patera, PhD
Nicholas M. Patrikalakis, PhD
Kawasaki Professor of Engineering
Thomas Peacock, PhD
Emanuel Michael Sachs, PhD
Themistoklis Sapsis, PhD
William I. Koch Professor
Sanjay E. Sarma, PhD
Fred Fort Flowers (1941) and Daniel Fort Flowers (1941) Professor
Henrik Schmidt, PhD
Professor Post-Tenure of Mechanical and Ocean Engineering
Paul D. Sclavounos, PhD
Professor of Mechanical Engineering and Naval Architecture
Warren Seering, PhD
Weber-Shaughness Professor
Yang Shao-Horn, PhD
JR East Professor of Engineering
Professor of Materials Science and Engineering
Alexander H. Slocum, PhD
Walter M. May and A. Hazel May Professor of Mechanical Engineering
Jean-Jacques E. Slotine, PhD
Professor of Information Sciences
Peter T. C. So, PhD
Alexandra H. Techet, PhD
Russell L. Tedrake, PhD
Toyota Professor
Professor of Computer Science and Engineering
Professor of Aeronautics and Astronautics
Michael S. Triantafyllou, ScD
Henry L. and Grace Doherty Professor in Ocean Science and Engineering
David L. Trumper, PhD
J. Kim Vandiver, PhD
Kripa K. Varanasi, PhD
David Robert Wallace, PhD
Evelyn N. Wang, PhD
Ford Professor of Engineering
Brian L. Wardle, PhD
Apollo Program Professor
James H. Williams Jr, PhD
Professor Post-Tenure of Teaching Excellence
Amos Winter, PhD
Maria Yang, PhD
Gail E. Kendall Professor of Mechanical Engineering
Ioannis V. Yannas, PhD
Professor of Polymer Science and Engineering
Member, Health Sciences and Technology Faculty
Kamal Youcef-Toumi, ScD
Dick K. P. Yue, PhD
Philip J. Solondz (1948) Professor of Engineering
Xuanhe Zhao, PhD
Irmgard Bischofberger, PhD
Tal Cohen, PhD
Associate Professor of Civil and Environmental Engineering
Sili Deng, PhD
Class of 1954 Career Development Professor
Betar Gallant, PhD
Class of 1922 Career Development Professor
Ming Guo, PhD
Jeehwan Kim, PhD
Associate Professor of Materials Science and Engineering
Mathias Kolle, PhD
Stefanie Mueller, PhD
TIBCO Founders Professor
Associate Professor of Electrical Engineering and Computer Science
Giovanni Traverso, PhD
Wim van Rees, PhD
Faez Ahmed, PhD
American Bureau of Shipping Career Development Professor
Assistant Professor of Mechanical Engineering
Navid Azizan, PhD
Edgerton Career Development Professor
Kaitlyn P. Becker, PhD
Henry L. and Grace Doherty Professorship in Ocean Science and Engineering
Carlos Portela, PhD
Ritu Raman, PhD
Vivishek Sudhir, PhD
Class of 1957 Career Development Professorship
Loza Tadesse, PhD
Brit (1961) and Alex (1949) d’Arbeloff Career Development Professor
Sherrie Wang, PhD
Andrew Gillespy, PhD
Professor of the Practice of Naval Construction and Engineering
Christopher MacLean, SM
Associate Professor of the Practice of Naval Construction and Engineering
Kenneth N. Kamrin, PhD
Visiting Professor of Mechanical Engineering
Daniel Braunstein, PhD
Senior Lecturer in Mechanical Engineering
Stephen Fantone, PhD
Franz Hover, PhD
Barbara Hughey, PhD
Raymond S. McCord, MS, Eng
William Plummer, PhD
Amy Smith, MS, MEng
Simona Socrate, PhD
Abbott Weiss, PhD
Kevin Cedrone, PhD
Lecturer in Mechanical Engineering
Christina Chase, BA
Harrison Chin, PhD
Benita Comeau, PhD
Kevin DiGenova, PhD
Hao Li, PhD
John Liu, PhD
Alfonso A. Perez, PhD
Robert Podoloff, PhD
Paul Aaron Ragaller
Joshua Ramos, PhD
Michael Wardlaw, MS
Rachel Mok, PhD
Instructor of Mechanical Engineering
Nicholas Anastasia, BS
Technical Instructor of Mechanical Engineering
Stephen G. Banzaert, MS
Daniel Gilbert, BA
Pierce Hayward, MS
Andrew MacInnis, BFA
Wade Warman , MFA
Senior research engineers.
Tian Tian, PhD
Senior Research Engineer of Mechanical Engineering
Anuradha M. Annaswamy, PhD
Senior Research Scientist of Mechanical Engineering
Lynette A. Jones, PhD
Yuming Liu, PhD
Brian Anthony, PhD
Principal Research Scientist of Mechanical Engineering
Michael Richard Benjamin, PhD
Svetlana V. Boriskina, PhD
H. Igo Krebs, PhD
Chris Mirabito, PhD
Research Associate of Mechanical Engineering
Michael Defilippo, PhD
Research Engineer of Mechanical Engineering
Benjamin Judge, PhD
Michael A. Reed, PhD
Michael Sacarny, PhD
Amanda Stack, PhD
Susan Elizabeth Amrose, PhD
Research Scientist of Mechanical Engineering
Rahul Bhattacharyya, PhD
Michael Bono Jr., PhD
Ceara Ann Byrne, PhD
Akshay P. Deshmukh, PhD
Bachir El Fil, PhD
Micha Feigin-Almon, PhD
Richard Ribon Fletcher, PhD
Patrick Haley, PhD
Nevan Clancy Hanumara, PhD
Stephen Ho, PhD
Nora C. Hogan, PhD
Po-Hsun Huang, PhD
Jeon Woong Kang, PhD
Ziliang Kang, PhD
George E. Karniadakis, PhD
Suhin Kim, PhD
Cyril Picard, PhD
Mehdi Pishahang, PhD
Santosh Shanbhogue, PhD
Grgur Tokic, PhD
Fangzhou Xia, PhD
Jianan Zhang, PhD
Lenan Zhang, PhD
Arthur B. Baggeroer, ScD
Professor Emeritus of Mechanical and Ocean Engineering
Professor Emeritus of Electrical Engineering
Klaus-Jürgen Bathe, ScD, PhD
Professor Emeritus of Mechanical Engineering
Mary C. Boyce, PhD
Ford Foundation Professor Emerita of Engineering
Professor Emerita of Mechanical Engineering
Chryssostomos Chryssostomidis, PhD
C. Forbes Dewey Jr, PhD
Professor Emeritus of Biological Engineering
Steven Dubowsky, PhD
Professor Emeritus of Aeronautics and Astronautics
David C. Gossard, PhD
Alan J. Grodzinsky, ScD
John B. Heywood, ScD, PhD
Sun Jae Professor Emeritus of Mechanical Engineering
Henry S. Marcus, DBA
Professor Emeritus of Marine Systems
Chiang C. Mei, PhD
Ford Professor Emeritus of Engineering
Professor Emeritus of Civil and Environmental Engineering
Borivoje Mikić, ScD
John Nicholas Newman, ScD
Professor Emeritus of Mechanical Engineering and Naval Architecture
Carl R. Peterson, ScD
Derek Rowell, PhD
Thomas B. Sheridan, ScD
Professor Emeritus of Engineering and Applied Psychology
Nam P. Suh, PhD
Ralph E. and Eloise F. Cross Professor Emeritus
Neil E. Todreas, PhD
Professor Emeritus of Nuclear Science and Engineering
Tomasz Wierzbicki, PhD
Professor Emeritus of Applied Mechanics
Gerald L. Wilson, PhD
Vannevar Bush Professor Emeritus
2.00a designing for the future: earth, sea, and space.
Prereq: Calculus I (GIR) and Physics I (GIR) U (Spring) 3-3-3 units
Student teams formulate and complete space/earth/ocean exploration-based design projects with weekly milestones. Introduces core engineering themes, principles, and modes of thinking. Specialized learning modules enable teams to focus on the knowledge required to complete their projects, such as machine elements, electronics, design process, visualization and communication. Includes exercises in written and oral communication and team building. Examples of projects include surveying a lake for millfoil, from a remote controlled aircraft, and then sending out robotic harvesters to clear the invasive growth; and exploration to search for the evidence of life on a moon of Jupiter, with scientists participating through teleoperation and supervisory control of robots. Enrollment limited; preference to freshmen.
Prereq: None U (Spring) Not offered regularly; consult department 3-5-1 units
Provides students with an overview of design for entertainment and play, as well as opportunities in creative product design and community service. Students develop ideas for new toys that serve clients in the community, and work in teams with local sponsors and with experienced mentors on a themed toy design project. Students enhance creativity and experience fundamental aspects of the product development process, including determining customer needs, brainstorming, estimation, sketching, sketch modeling, concept development, design aesthetics, detailed design, and prototyping. Includes written, visual, and oral communication. Enrollment limited; preference to freshmen.
D. R. Wallace
Prereq: None U (Spring; second half of term) Units arranged Can be repeated for credit.
Lecture, seminar, or laboratory subject consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter.
Prereq: None U (Spring; second half of term) Units arranged
Prereq: None U (Spring) Units arranged
Lecture, seminar, or laboratory subject consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter.
Same subject as 1.016[J] , EC.746[J] Prereq: None U (Spring) 3-1-5 units
Working in small teams with real clients, students develop solutions related to the year's Terrascope topic. They have significant autonomy as they follow a full engineering design cycle from client profile through increasingly sophisticated prototypes to final product. Provides opportunities to acquire skills with power tools, workshop practice, design, product testing, and teamwork. Focuses on sustainability and appropriate technology that matches the client's specific situation and constraints. Products are exhibited in the public Bazaar of Ideas and evaluated by an expert panel. Class taught in collaboration with D-Lab and Beaver Works. Limited to first-year students. Open to students outside of Terrascope.
A. W. Epstein, J. Grimm, S. L. Hsu
2.00 introduction to design.
Prereq: None U (Fall, Spring; second half of term) 2-2-2 units
Project-based introduction to product development and engineering design. Emphasizes key elements of the design process, including defining design problems, generating ideas, and building solutions. Presents a range of design techniques to help students think about, evaluate, and communicate designs, from sketching to physical prototyping, as well as other types of modeling. Students work both individually and in teams.
Prereq: None U (Spring) Not offered regularly; consult department 2-0-0 units
Broad introduction to the various aspects of mechanical engineering at MIT, including mechanics, design, controls, energy, ocean engineering, bioengineering, and micro/nano engineering through a variety of experiences, including discussions led by faculty, students, and industry experts. Reviews research opportunities and undergraduate major options in Course 2 as well as a variety of career paths pursued by alumni. Subject can count toward the 6-unit discovery-focused credit limit for first year students.
Prereq: Physics I (GIR) ; Coreq: 2.087 or 18.03 U (Fall, Spring) 4-1-7 units. REST
Introduction to statics and the mechanics of deformable solids. Emphasis on the three basic principles of equilibrium, geometric compatibility, and material behavior. Stress and its relation to force and moment; strain and its relation to displacement; linear elasticity with thermal expansion. Failure modes. Application to simple engineering structures such as rods, shafts, beams, and trusses. Application to biomechanics of natural materials and structures.
S. Socrate, M. Culpepper, D. Parks, K. Kamrin
Prereq: Chemistry (GIR) and 2.001 U (Spring) 3-3-6 units
Introduces mechanical behavior of engineering materials, and the use of materials in mechanical design. Emphasizes the fundamentals of mechanical behavior of materials, as well as design with materials. Major topics: elasticity, plasticity, limit analysis, fatigue, fracture, and creep. Materials selection. Laboratory experiments involving projects related to materials in mechanical design. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
L. Anand, K. Kamrin, P. Reis
Same subject as 1.053[J] Prereq: Physics II (GIR) ; Coreq: 2.087 or 18.03 U (Fall, Spring) 4-1-7 units. REST
Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems.
J. K. Vandiver, N. C. Makris, N. M. Patrikalakis, T. Peacock, D. Gossard, K. Turitsyn
Prereq: Physics II (GIR) and 2.003[J] U (Fall, Spring) 4-2-6 units
Modeling, analysis, and control of dynamic systems. System modeling: lumped parameter models of mechanical, electrical, and electromechanical systems; interconnection laws; actuators and sensors. Linear systems theory: linear algebra; Laplace transform; transfer functions, time response and frequency response, poles and zeros; block diagrams; solutions via analytical and numerical techniques; stability. Introduction to feedback control: closed-loop response; PID compensation; steady-state characteristics, root-locus design concepts, frequency-domain design concepts. Laboratory experiments and control design projects. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
D. Del Vecchio, D. Trumper
Prereq: ( Physics II (GIR) , 18.03 , and ( 2.086 , 6.100B , or 18.06 )) or permission of instructor U (Fall, Spring) 5-0-7 units
Integrated development of the fundamental principles of thermodynamics, fluid mechanics, and heat transfer, with applications. Focuses on the first and second laws of thermodynamics, mass conservation, and momentum conservation, for both closed and open systems. Entropy generation and its influence on the performance of engineering systems. Introduction to dimensionless numbers. Introduction to heat transfer: conduction, convection, and radiation. Steady-state and transient conduction. Finned surfaces. The heat equation and the lumped capacitance model. Coupled and uncoupled fluid models. Hydrostatics. Inviscid flow analysis and Bernoulli equation. Navier-Stokes equation and its solutions. Viscous internal flows, head losses, and turbulence. Introduction to pipe flows and Moody chart.
Prereq: 2.005 U (Fall, Spring) 5-0-7 units
Focuses on the application of the principles of thermodynamics, heat transfer, and fluid mechanics to the design and analysis of engineering systems. Dimensional analysis, similarity, and modeling. Pipe systems: major and minor losses. Laminar and turbulent boundary layers. Boundary layer separation, lift and drag on objects. Heat transfer associated with laminar and turbulent flow of fluids in free and forced convection in channels and over surfaces. Pure substance model. Heat transfer in boiling and condensation. Thermodynamics and fluid mechanics of steady flow components of thermodynamic plants. Heat exchanger design. Power cycles and refrigeration plants. Design of thermodynamic plants. Analyses for alternative energy systems. Multi-mode heat transfer and fluid flow in thermodynamic plants.
R. Karnik, B. Gallant
Prereq: 2.001 and 2.670 ; Coreq: 2.086 U (Spring) 3-4-5 units
Develops students' competence and self-confidence as design engineers. Emphasis on the creative design process bolstered by application of physical laws. Instruction on how to complete projects on schedule and within budget. Robustness and manufacturability are emphasized. Subject relies on active learning via a major design-and-build project. Lecture topics include idea generation, estimation, concept selection, visual thinking, computer-aided design (CAD), mechanism design, machine elements, basic electronics, technical communication, and ethics. Lab fee. Limited enrollment. Pre-registration required for lab assignment; special sections by lottery only.
S. Kim, A. Winter
Prereq: 2.007 ; or Coreq: 2.017[J] and ( 2.005 or 2.051) U (Fall, Spring) 3-3-6 units. Partial Lab
Integration of design, engineering, and management disciplines and practices for analysis and design of manufacturing enterprises. Emphasis is on the physics and stochastic nature of manufacturing processes and systems, and their effects on quality, rate, cost, and flexibility. Topics include process physics and control, design for manufacturing, and manufacturing systems. Group project requires design and fabrication of parts using mass-production and assembly methods to produce a product in quantity. Six units may be applied to the General Institute Lab Requirement. Satisfies 6 units of Institute Laboratory credit. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
J.-H. Chun, J. Hart, S.G. Kim, J. Liu, W. Seering, D. Wendell
Prereq: 2.001 , 2.003[J] , ( 2.005 or 2.051), and ( 2.00B , 2.670 , or 2.678 ) U (Fall) 3-3-9 units
Students develop an understanding of product development phases and experience working in teams to design and construct high-quality product prototypes. Design process learned is placed into a broader development context. Primary goals are to improve ability to reason about design alternatives and apply modeling techniques appropriate for different development phases; understand how to gather and process customer information and transform it into engineering specifications; and use teamwork to resolve the challenges in designing and building a substantive product prototype. Instruction and practice in oral communication provided. Enrollment may be limited due to laboratory capacity; preference to Course 2 seniors.
Subject meets with 2.733 Prereq: ( 2.001 , 2.003[J] , ( 2.005 or 2.051), and ( 2.00B , 2.670 , or 2.678 )) or permission of instructor U (Fall) 0-6-6 units
Focuses on the design of engineering systems to satisfy stated performance, stability, and/or control requirements. Emphasizes individual initiative, application of fundamental principles, and the compromises inherent in the engineering design process. Culminates in the design of an engineering system, typically a vehicle or other complex system. Includes instruction and practice in written and oral communication through team presentations, design reviews, and written reports. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
Subject meets with 2.734 Prereq: ( 2.001 , 2.003[J] , ( 2.005 or 2.051), and ( 2.00B , 2.670 , or 2.678 )) or permission of instructor U (Spring) 0-6-6 units Can be repeated for credit.
Focuses on implementation and operation of engineering systems. Emphasizes system integration and performance verification using methods of experimental inquiry. Students refine their subsystem designs and the fabrication of working prototypes. Includes experimental analysis of subsystem performance and comparison with physical models of performance and with design goals. Component integration into the full system, with detailed analysis and operation of the complete vehicle in the laboratory and in the field. Includes written and oral reports. Students carry out formal reviews of the overall system design. Instruction and practice in oral and written communication provided. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
Prereq: 2.005 U (Fall) 3-0-9 units
Covers fundamental principles of fluid mechanics and applications to practical ocean engineering problems. Basic geophysical fluid mechanics, including the effects of salinity, temperature, and density; heat balance in the ocean; large scale flows. Hydrostatics. Linear free surface waves, wave forces on floating and submerged structures. Added mass, lift and drag forces on submerged bodies. Includes final project on current research topics in marine hydrodynamics.
A. H. Techet
Same subject as 1.015[J] Prereq: 2.003[J] , 2.016 , and 2.678 ; Coreq: 2.671 U (Spring) 3-3-6 units. Partial Lab
Design, construction, and testing of field robotic systems, through team projects with each student responsible for a specific subsystem. Projects focus on electronics, instrumentation, and machine elements. Design for operation in uncertain conditions is a focus point, with ocean waves and marine structures as a central theme. Basic statistics, linear systems, Fourier transforms, random processes, spectra and extreme events with applications in design. Lectures on ethics in engineering practice included. Instruction and practice in oral and written communication provided. Satisfies 6 units of Institute Laboratory credit. Enrollment may be limited due to laboratory capacity.
M. Triantafyllou, M. Sacarny
Prereq: 2.001 , 2.003[J] , and ( 2.005 or 2.016 ) U (Spring) 3-3-6 units
Complete cycle of designing an ocean system using computational design tools for the conceptual and preliminary design stages. Team projects assigned, with each student responsible for a specific subsystem. Lectures cover hydrodynamics; structures; power and thermal aspects of ocean vehicles, environment, materials, and construction for ocean use; generation and evaluation of design alternatives. Focus on innovative design concepts chosen from high-speed ships, submersibles, autonomous vehicles, and floating and submerged deep-water offshore platforms. Lectures on ethics in engineering practice included. Instruction and practice in oral and written communication provided. Enrollment may be limited due to laboratory capacity; preference to Course 2 seniors.
C. Chryssostomidis, M. S. Triantafyllou
Prereq: Calculus II (GIR) and Physics I (GIR) ; Coreq: 2.087 or 18.03 U (Fall, Spring) 2-2-8 units. REST
Covers elementary programming concepts, including variable types, data structures, and flow control. Provides an introduction to linear algebra and probability. Numerical methods relevant to MechE, including approximation (interpolation, least squares, and statistical regression), integration, solution of linear and nonlinear equations, and ordinary differential equations. Presents deterministic and probabilistic approaches. Uses examples from MechE, particularly from robotics, dynamics, and structural analysis. Assignments require MATLAB programming. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
D. Frey, F. Hover, N. Hadjiconstantinou,
Prereq: Calculus II (GIR) and Physics I (GIR) U (Fall; first half of term) Not offered regularly; consult department 2-0-4 units
Introduction to linear algebra and ordinary differential equations (ODEs), including general numerical approaches to solving systems of equations. Linear systems of equations, existence and uniqueness of solutions, Gaussian elimination. Initial value problems, 1st and 2nd order systems, forward and backward Euler, RK4. Eigenproblems, eigenvalues and eigenvectors, including complex numbers, functions, vectors and matrices.
A. Hosoi, T. Peacock
2.032 dynamics.
Prereq: 2.003[J] G (Fall) 4-0-8 units
Review of momentum principles. Hamilton's principle and Lagrange's equations. Three-dimensional kinematics and dynamics of rigid bodies. Study of steady motions and small deviations therefrom, gyroscopic effects, causes of instability. Free and forced vibrations of lumped-parameter and continuous systems. Nonlinear oscillations and the phase plane. Nonholonomic systems. Introduction to wave propagation in continuous systems.
T. R. Akylas, T. Peacock, N. Hadjiconstantinou
Same subject as 1.686[J] , 18.358[J] Subject meets with 1.068 Prereq: 1.060A Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Spring) 3-2-7 units
See description under subject 1.686[J] .
L. Bourouiba
Same subject as 1.685[J] , 18.377[J] Prereq: Permission of instructor Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Spring) 3-0-9 units
A unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems. Nonlinear free and forced vibrations; nonlinear resonances; self-excited oscillations; lock-in phenomena. Nonlinear dispersive and nondispersive waves; resonant wave interactions; propagation of wave pulses and nonlinear Schrodinger equation. Nonlinear long waves and breaking; theory of characteristics; the Korteweg-de Vries equation; solitons and solitary wave interactions. Stability of shear flows. Some topics and applications may vary from year to year.
R. R. Rosales
Same subject as 18.385[J] Prereq: 18.03 or 18.032 Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Spring) 3-0-9 units
See description under subject 18.385[J] .
Same subject as 12.006[J] , 18.353[J] Prereq: Physics II (GIR) and ( 18.03 or 18.032 ) U (Fall) 3-0-9 units
See description under subject 12.006[J] .
Same subject as 1.581[J] , 16.221[J] Subject meets with 1.058 Prereq: 18.03 or permission of instructor G (Fall) 3-1-8 units
See description under subject 1.581[J] .
Same subject as 1.138[J] , 18.376[J] Prereq: 2.003[J] and 18.075 G (Spring) Not offered regularly; consult department 3-0-9 units
Theoretical concepts and analysis of wave problems in science and engineering with examples chosen from elasticity, acoustics, geophysics, hydrodynamics, blood flow, nondestructive evaluation, and other applications. Progressive waves, group velocity and dispersion, energy density and transport. Reflection, refraction and transmission of plane waves by an interface. Mode conversion in elastic waves. Rayleigh waves. Waves due to a moving load. Scattering by a two-dimensional obstacle. Reciprocity theorems. Parabolic approximation. Waves on the sea surface. Capillary-gravity waves. Wave resistance. Radiation of surface waves. Internal waves in stratified fluids. Waves in rotating media. Waves in random media.
T. R. Akylas, R. R. Rosales
Subject meets with 2.066 Prereq: 2.003[J] , 6.3000 , 8.03 , or 16.003 U (Spring) 3-0-9 units
Introduces the fundamental concepts of acoustics and sensing with waves. Provides a unified theoretical approach to the physics of image formation through scattering and wave propagation in sensing. The linear and nonlinear acoustic wave equation, sources of sound, including musical instruments. Reflection, refraction, transmission and absorption. Bearing and range estimation by sensor array processing, beamforming, matched filtering, and focusing. Diffraction, bandwidth, ambient noise and reverberation limitations. Scattering from objects, surfaces and volumes by Green's Theorem. Forward scatter, shadows, Babinet's principle, extinction and attenuation. Ray tracing and waveguides in remote sensing. Applications to acoustic, radar, seismic, thermal and optical sensing and exploration. Students taking the graduate version complete additional assignments.
N. C. Makris
Subject meets with 2.065 Prereq: 2.003[J] , 6.3000 , 8.03 , 16.003 , or permission of instructor G (Spring) 3-0-9 units
Introduces the fundamental concepts of acoustics and sensing with waves. Provides a unified theoretical approach to the physics of image formation through scattering and wave propagation in sensing. The linear and nonlinear acoustic wave equation, sources of sound, including musical instruments. Reflection, refraction, transmission and absorption. Bearing and range estimation by sensor array processing, beamforming, matched filtering, and focusing. Diffraction, bandwidth, ambient noise and reverberation limitations. Scattering from objects, surfaces and volumes by Green's Theorem. Forward scatter, shadows, Babinet's principle, extinction and attenuation. Ray tracing and waveguides in remote sensing. Applications to acoustic, radar, seismic, thermal and optical sensing and exploration. Students taking the graduate version of the subject complete additional assignments.
2.071 mechanics of solid materials.
Prereq: 2.002 G (Spring) 4-0-8 units
Fundamentals of solid mechanics applied to the mechanical behavior of engineering materials. Kinematics of deformation, stress, and balance principles. Isotropic linear elasticity and isotropic linear thermal elasticity. Variational and energy methods. Linear viscoelasticity. Small-strain elastic-plastic deformation. Mechanics of large deformation; nonlinear hyperelastic material behavior. Foundations and methods of deformable-solid mechanics, including relevant applications. Provides base for further study and specialization within solid mechanics, including continuum mechanics, computational mechanics (e.g., finite-element methods), plasticity, fracture mechanics, structural mechanics, and nonlinear behavior of materials.
L. Anand, D. M. Parks
Prereq: 2.071 G (Fall) Not offered regularly; consult department 3-0-9 units
Principles and applications of continuum mechanics. Kinematics of deformation. Thermomechanical conservation laws. Stress and strain measures. Constitutive equations including some examples of their microscopic basis. Solution of some basic problems for various materials as relevant in materials science, fluid dynamics, and structural analysis. Inherently nonlinear phenomena in continuum mechanics. Variational principles.
Prereq: 2.071 G (Fall) 3-0-9 units
Physical basis of plastic/inelastic deformation of solids; metals, polymers, granular/rock-like materials. Continuum constitutive models for small and large deformation of elastic-(visco)plastic solids. Analytical and numerical solution of selected boundary value problems. Applications to deformation processing of metals.
Prereq: 2.002 and 18.03 G (Fall) 3-0-9 units
Introduction to the theory and applications of nonlinear and linear elasticity. Strain, stress, and stress-strain relations. Several of the following topics: Spherically and cylindrically symmetric problems. Anisotropic material behavior. Piezoelectric materials. Effective properties of composites. Structural mechanics of beams and plates. Energy methods for structures. Two-dimensional problems. Stress concentration at cavities, concentrated loads, cracks, and dislocations. Variational methods and their applications; introduction to the finite element method. Introduction to wave propagation.
R. Abeyaratne
Prereq: None G (Fall) 3-0-9 units
Covers a number of fundamental topics in the emerging field of soft and active materials, including polymer mechanics and physics, poroelasticity, viscoelasticity, and mechanics of electro-magneto-active and other responsive polymers. Lectures, recitations, and experiments elucidate the basic mechanical and thermodynamic principles underlying soft and active materials. Develops an understanding of the fundamental mechanisms for designing soft materials that possess extraordinary properties, such as stretchable, tough, strong, resilient, adhesive and responsive to external stimuli, from molecular to bulk scales.
Same subject as 16.223[J] Prereq: 2.002 , 3.032, 16.20 , or permission of instructor Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Fall) 3-0-9 units
See description under subject 16.223[J] .
B. L. Wardle, S-G. Kim
Prereq: 2.072 Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Fall) 3-0-9 units
Complex problems in solid mechanics for a wide range of applications require a knowledge of the foundational balance laws of mechanics, thermodynamics, and electrodynamics of continua, together with a knowledge of the structure and properties of the materials which are provided by particular constitutive models for the so-called smart-materials, and the materials used in the many applications that involve thermo-, chemo-, electro- and/or magneto-mechanical coupling. Reviews the basic balance laws and the constitutive equations of the classical coupled theories of thermoelasticity and poroelasticity, and provides an introduction to the nonlinear theories of electroelasticity and magnetoelasticity. Examines the governing coupled partial differential equations and suitable boundary conditions. Discusses numerical solutions of the partial differential equations.
Same subject as 1.573[J] Prereq: 2.002 G (Fall) 4-0-8 units
Applies solid mechanics fundamentals to the analysis of marine, civil, and mechanical structures. Continuum concepts of stress, deformation, constitutive response and boundary conditions are reviewed in selected examples. The principle of virtual work guides mechanics modeling of slender structural components (e.g., beams; shafts; cables, frames; plates; shells), leading to appropriate simplifying assumptions. Introduction to elastic stability. Material limits to stress in design. Variational methods for computational structural mechanics analysis.
T. Wierzbicki, D. Parks
Same subject as 16.230[J] Prereq: 2.071 , 2.080[J] , or permission of instructor G (Spring) 3-1-8 units
Stress-strain relations for plate and shell elements. Differential equations of equilibrium. Energy methods and approximate solutions. Bending and buckling of rectangular plates. Post-buckling and ultimate strength of cold formed sections and typical stiffened panels used in aerospace, civil, and mechanical engineering; offshore technology; and ship building. Geometry of curved surfaces. General theory of elastic, axisymmetric shells and their equilibrium equations. Buckling, crushing and bending strength of cylindrical shells with applications. Propagation of 1-D elastic waves in rods, geometrical and material dispersion. Plane, Rayleigh surface, and 3-D waves. 1-D plastic waves. Response of plates and shells to high-intensity loads. Dynamic plasticity and fracture. Application to crashworthiness and impact loading of structures.
Prereq: 2.081[J] and 2.701 G (Spring; second half of term) 3-0-3 units
Design application of analysis developed in 2.081[J] . Ship longitudinal strength and hull primary stresses. Ship structural design concepts. Design limit states including plate bending, column and panel buckling, panel ultimate strength, and plastic analysis. Matrix stiffness, and introduction to finite element analysis. Computer projects on the structural design of a midship module.
R. S. McCord, T. Wierzbicki
Same subject as 1.583[J] , 16.215[J] Prereq: None Acad Year 2024-2025: G (Fall) Acad Year 2025-2026: Not offered 3-0-9 units
See description under subject 1.583[J] .
J. Carstensen
2.0911[j] computational design and fabrication.
Same subject as 6.4420[J] Subject meets with 6.8420 Prereq: Calculus II (GIR) and ( 6.1010 or permission of instructor) U (Spring) 3-0-9 units
See description under subject 6.4420[J] .
Subject meets with 2.098 Prereq: 2.086 or permission of instructor Acad Year 2024-2025: U (Spring) Acad Year 2025-2026: Not offered 3-0-9 units
Ordinary differential equation boundary value problems: 2nd-order, 4th-order spatial operators, eigenproblems. Partial differential equations for scalar fields: elliptic, parabolic, hyperbolic. Strong statement, weak form, minimization principle. Rayleigh-Ritz, Galerkin projection. Numerical interpolation, integration, differentiation, best-fit. Finite element method for spatial discretization in one and two space dimensions: formulation (linear, quadratic approximation), mesh generation, bases and discrete equations, uniform and adaptive refinement, a priori and a posteriori error estimates, sparse solvers, implementation, testing. Finite difference-finite element methods for mixed initial-boundary value problems; nonlinear problems and Newton iteration; linear elasticity. Applications in heat transfer and structural analysis. Assignments require MATLAB coding. Students taking graduate version complete additional work.
Same subject as 6.7300[J] , 16.910[J] Prereq: 18.03 or 18.06 G (Fall) 3-6-3 units
See description under subject 6.7300[J] .
Same subject as 6.7330[J] , 16.920[J] Prereq: 18.03 or 18.06 G (Fall) 3-0-9 units
See description under subject 16.920[J] .
Subject meets with 2.095 Prereq: 2.086 or permission of instructor G (Spring) Not offered regularly; consult department 3-0-9 units
Ordinary differential equation boundary value problems: 2nd-order, 4th-order spatial operators; eigenproblems. Partial differential equations for scalar fields: elliptic, parabolic, hyperbolic. Strong statement, weak form, minimization principle. Rayleigh-Ritz, Galerkin projection. Numerical interpolation, integration, differentiation; best-fit. Finite element method for spatial discretization in one and two space dimensions: formulation (linear, quadratic approximation), mesh generation, bases and discrete equations, uniform and adaptive refinement, a priori and a posteriori error estimates, sparse solvers, implementation, testing. Finite difference-finite element methods for mixed initial-boundary value problems; nonlinear problems and Newton iteration; linear elasticity. Applications in heat transfer and structural analysis. Assignments require MATLAB coding. Students taking graduate version complete additional work.
Same subject as 16.225[J] Prereq: Permission of instructor Acad Year 2024-2025: G (Spring) Acad Year 2025-2026: Not offered 3-0-9 units
See description under subject 16.225[J] .
R. Radovitzky
2.110 information, entropy, and computation.
Prereq: Physics I (GIR) U (Fall) Not offered regularly; consult department 3-0-6 units
Explores the ultimate limits to communication and computation, with an emphasis on the physical nature of information and information processing. Topics include information and computation, digital signals, codes, and compression. Biological representations of information. Logic circuits, computer architectures, and algorithmic information. Noise, probability, and error correction. The concept of entropy applied to channel capacity and to the second law of thermodynamics. Reversible and irreversible operations and the physics of computation. Quantum computation.
P. Penfield, Jr.
Same subject as 6.6410[J] , 8.370[J] , 18.435[J] Prereq: 8.05 , 18.06 , 18.700 , 18.701 , or 18.C06[J] G (Fall) 3-0-9 units
See description under subject 18.435[J] .
I. Chuang, A. Harrow, P. Shor
Subject meets with 2.120 Prereq: 2.004 U (Spring) 3-2-7 units
Cross-disciplinary studies in robot mechanics and intelligence. Emphasizes physical understanding of robot kinematics and dynamics, differential motion and energy method, design and control of robotic arms and mobile robots, and actuators, drives, and transmission. Second half of course focuses on algorithmic thinking and computation, computer vision and perception, planning and control for manipulation, localization and navigation, machine learning for robotics, and human-robot systems. Weekly laboratories include brushless DC motor control, design and fabrication of robotic arms and vehicles, robot vision and navigation, and programming and system integration using Robot Operating System (ROS). Group term project builds intelligent robots for specific applications of interest. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
Subject meets with 2.12 Prereq: 2.004 or permission of instructor G (Spring) 3-2-7 units
Cross-disciplinary studies in robot mechanics and intelligence. Emphasizes physical understanding of robot kinematics and dynamics, differential motion and energy method, design and control of robotic arms and mobile robots, and actuators, drives, and transmission. Second half of course focuses on algorithmic thinking and computation, computer vision and perception, planning and control for manipulation, localization and navigation, machine learning for robotics, and human-robot systems. Weekly laboratories include brushless DC motor control, design and fabrication of robotic arms and vehicles, robot vision and navigation, and programming and system integration using Robot Operating System (ROS). Group term project builds intelligent robots for specific applications of interest. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity.
Subject meets with 2.122 , 2.22 Prereq: None. Coreq: 2.004 U (Spring) 3-0-9 units
Response of systems to stochastic excitation with design applications. Linear time-invariant systems, convolution, Fourier and Laplace transforms. Probability and statistics. Discrete and continuous random variables, derived distributions. Stochastic processes, auto-correlation. Stationarity and ergodicity, power spectral density. Systems driven by random functions, Wiener-Khinchine theorem. Sampling and filtering. Short- and long-term statistics, statistics of extremes. Problems from mechanical vibrations and statistical linearization, statistical mechanics, and system prediction/identification. Students taking graduate version complete additional assignments and a short-term project.
N. M. Patrikalakis, T. P. Sapsis, M. S. Triantafyllou
Subject meets with 2.121 , 2.22 Prereq: 2.004 and 2.087 G (Spring) 4-0-8 units
Same subject as 6.4200[J] , 16.405[J] Prereq: (( 1.00 or 6.100A ) and ( 2.003[J] , 6.1010 , 6.1210 , or 16.06 )) or permission of instructor U (Spring) 2-6-4 units. Institute LAB
See description under subject 6.4200[J] . Enrollment limited.
L. Carlone, S. Karaman, D. Hadfield-Manell, J. Leonard
Prereq: Permission of instructor G (Spring) 3-6-3 units
Provides training in advanced instrumentation and measurement techniques. Topics include system level design, fabrication and evaluation with emphasis on systems involving concepts and technology from mechanics, optics, electronics, chemistry and biology. Simulation, modeling and design software. Use of a wide range of instruments/techniques (e.g., scanning electron microscope, dynamic signal/system analyzer, impedance analyzer, laser interferometer) and fabrication/machining methods (e.g., laser micro-machining, 3D printing, computer controlled turning, and machining centers). Theory and practice of both linear and nonlinear system identification techniques. Lab sessions include instruction and group project work. No final exam.
I. W. Hunter
Subject meets with 2.133 Prereq: 2.671 or permission of instructor U (Fall) 3-6-3 units
Engages students in project-based learning by using a wide variety of experimental setups called MICA (Measurement, Instrumentation, Control, and Analysis) Workstations to learn about sensors, actuators, instrumentation, and measurement techniques. Over 50 MICA Workstations allow experiments to be performed on a broad range of phenomena including those found in optics, electronics, acoustics, biology, botany, material science, mechanics, thermal, and fluid systems. Experiments utilize Mathematica Notebooks in which students conduct data analysis and model fitting, and complete homework assignments. The integration of ChatGPT into Mathematica provides help in the learning process. Students also build new Workstations guided by CAD models and develop the Mathematica code to run experiments, perform data analyses, and model parameter estimation. Students taking graduate version build more sophisticated Workstations..
Subject meets with 2.132 Prereq: Permission of instructor G (Fall) 3-6-3 units
Engages students in project-based learning by using a wide variety of experimental setups called MICA (Measurement, Instrumentation, Control, and Analysis) Workstations to learn about sensors, actuators, instrumentation, and measurement techniques. Over 50 MICA Workstations allow experiments to be performed on a broad range of phenomena including those found in optics, electronics, acoustics, biology, botany, material science, mechanics, thermal, and fluid systems. Experiments utilize Mathematica Notebooks in which students conduct data analysis and model fitting, and complete homework assignments. The integration of ChatGPT into Mathematica provides help in the learning process. Students also build new Workstations guided by CAD models and develop the Mathematica code to run experiments, perform data analyses, and model parameter estimation. Students taking graduate version build more sophisticated Workstations.
Subject meets with 2.140 Prereq: 2.004 U (Spring) 3-3-6 units
Develops the fundamentals of feedback control using linear transfer function system models. Analysis in time and frequency domains. Design in the s-plane (root locus) and in the frequency domain (loop shaping). Describing functions for stability of certain non-linear systems. Extension to state variable systems and multivariable control with observers. Discrete and digital hybrid systems and use of z-plane design. Extended design case studies and capstone group projects. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
D. L. Trumper, K. Youcef-Toumi
Subject meets with 2.14 Prereq: 2.004 or permission of instructor G (Spring) 3-3-6 units
Develops the fundamentals of feedback control using linear transfer function system models. Analysis in time and frequency domains. Design in the s-plane (root locus) and in the frequency domain (loop shaping). Describing functions for stability of certain non-linear systems. Extension to state variable systems and multivariable control with observers. Discrete and digital hybrid systems and use of z-plane design. Extended design case studies and capstone group projects. Student taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity.
D. Rowell, D. L. Trumper, K. Youcef-Toumi
Prereq: Permission of instructor G (Fall) Not offered regularly; consult department 3-0-9 units
Modeling multidomain engineering systems at a level of detail suitable for design and control system implementation. Network representation, state-space models; multiport energy storage and dissipation, Legendre transforms; nonlinear mechanics, transformation theory, Lagrangian and Hamiltonian forms; Control-relevant properties. Application examples may include electro-mechanical transducers, mechanisms, electronics, fluid and thermal systems, compressible flow, chemical processes, diffusion, and wave transmission.
Subject meets with 2.147 Prereq: 2.003[J] and 2.007 U (Fall) 3-3-6 units
Design, modeling and integration of compliance into systems that enable performance which is impractical to obtain via rigid mechanisms. Includes multiple strategies (pseudo-rigid body, topology synthesis, freedom and constraint topology) to engineer compliant mechanisms for mechanical systems. Emphasis is placed upon the integration of first principles (math/physics/engineering classes) to optimize kinematics, stiffness, energy storage/release, load capacity, efficiency and integration with actuation/sensing. Synthesize concepts, optimize them via computational models and test prototypes. Prototypes integrate multiple engineering sub-disciplines (e.g. mechanics + dynamics or mechanics + energy) and are drawn from biological systems, prosthetics, energy harvesting, precision instrumentation, robotics, space-based systems and others. Students taking graduate version complete additional assignments.
M. Culpepper
Subject meets with 2.145 Prereq: 2.003[J] and 2.007 G (Fall) 3-3-6 units
Design, modeling and integration of compliance into systems that enable performance which is impractical to obtain via rigid mechanisms. Students learn strategies (pseudo-rigid body, topology synthesis, freedom and constraint topology) to engineer compliant mechanisms for mechanical systems. Emphasis is placed upon the integration of first principles (math/physics/engineering classes) to optimize kinematics, stiffness, energy storage/release, load capacity, efficiency and integration with actuation/sensing. Students synthesize concepts, optimize them via computational models and test prototypes. Prototypes integrate multiple engineering sub-disciplines (e.g. mechanics + dynamics or mechanics + energy) and are drawn from biological systems, prosthetics, energy harvesting, precision instrumentation, robotics, space-based systems and others. Students taking graduate version complete additional assignments.
Prereq: 2.004 and ( 2.087 or 18.06 ) G (Fall) 4-0-8 units
Analytical descriptions of state-determined dynamic physical systems; time and frequency domain representations; system characteristics - controllability, observability, stability; linear and nonlinear system responses. Modification of system characteristics using feedback. State observers, Kalman filters. Modeling/performance trade-offs in control system design. Basic optimization tools. Positive systems. Emphasizes applications to physical systems.
J.-J. E. Slotine, K. Youcef-Toumi, N. Hogan
Same subject as 9.110[J] Prereq: 2.151 , 6.7100[J] , 16.31 , or permission of instructor G (Spring) 3-0-9 units
Introduction to nonlinear control and estimation in physical and biological systems. Nonlinear stability theory, Lyapunov analysis, Barbalat's lemma. Feedback linearization, differential flatness, internal dynamics. Sliding surfaces. Adaptive nonlinear control and estimation. Multiresolution bases, nonlinear system identification. Contraction analysis, differential stability theory. Nonlinear observers. Asynchronous distributed computation and learning. Concurrent synchronization, polyrhythms. Monotone nonlinear systems. Emphasizes application to physical systems (robots, aircraft, spacecraft, underwater vehicles, reaction-diffusion processes, machine vision, oscillators, internet), machine learning, computational neuroscience, and systems biology. Includes term projects.
J.-J. E. Slotine
Prereq: 2.151 Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Fall) 3-0-9 units
Lays the foundation of adaptive control, and investigates its interconnections with machine learning. Explores fundamental principles of adaptive control, including parameter estimation, recursive algorithms, stability properties, and conditions for convergence. Studies their relationship with machine learning, including the minimization of a performance error and fast convergence. Discusses robustness and regularization in both fields. Derives conditions of learning and implications of imperfect learning. Examines the trade-off between stability and learning. Focuses throughout the term on dynamic systems and on problems where real-time control is needed. Uses examples from aerospace, propulsion, automotive, and energy systems to elucidate the underlying concepts.
A. Annaswamy
Prereq: 2.22 G (Fall) 3-0-9 units
Maneuvering motions of surface and underwater vehicles. Derivation of equations of motion, hydrodynamic coefficients. Memory effects. Linear and nonlinear forms of the equations of motion. Control surfaces modeling and design. Engine, propulsor, and transmission systems modeling and simulation during maneuvering. Stability of motion. Principles of multivariable automatic control. Optimal control, Kalman filtering, loop transfer recovery. Term project: applications chosen from autopilots for surface vehicles; towing in open seas; remotely operated vehicles.
M. S. Triantafyllou
Subject meets with 2.156 Prereq: 2.086 , 6.100A , or permission of instructor U (Fall) 3-0-9 units
Machine learning and artificial intelligence techniques in engineering design applications. Emphasizes state-of-the-art machine learning techniques to design new products or systems or solve complex engineering problems. Lectures cover the theoretical and practical aspects of machine learning and optimization methods. Challenge problems, research paper discussions, and interactive in-class activities are used to highlight the unique challenges of machine learning for design applications. A group term project on students' applications of interest. Basic programming and machine learning familiarity are recommended. Students taking graduate version complete additional assignments.
Subject meets with 2.155 Prereq: None G (Fall) 3-0-9 units
Machine learning and artificial intelligence techniques in engineering design applications. Emphasizes state-of-the-art machine learning techniques to design new products or systems or solve complex engineering problems. Lectures cover the theoretical and practical aspects of machine learning and optimization methods. Challenge problems, research paper discussions, and interactive in-class activities are used to highlight the unique challenges of machine learning for design applications. A group term project on students' applications of interest. Basic programming and machine learning familiarity are recommended. Students taking graduate version complete additional assignments.
Subject meets with 2.168 Prereq: 2.086 , 18.075 , and ( 6.3700 or 18.05 ) U (Spring) Not offered regularly; consult department 4-0-8 units
Introduces fundamental concepts and encourages open-ended exploration of the increasingly topical intersection between artificial intelligence and the physical sciences. Energy and information, and their respective optimality conditions are used to define supervised and unsupervised learning algorithms; as well as ordinary and partial differential equations. Subsequently, physical systems with complex constitutive relationships are drawn from elasticity, biophysics, fluid mechanics, hydrodynamics, acoustics, and electromagnetics to illustrate how machine learning-inspired optimization can approximate solutions to forward and inverse problems in these domains.
G. Barbastathis
Prereq: 2.151 , 6.7100[J] , 16.31 , or permission of instructor G (Fall) 3-0-9 units
Provides a broad theoretical basis for estimation, identification, and learning of linear and nonlinear systems at the cross-disciplinary area of system dynamics and control, machine learning, and statistics. Recursive least squares estimate, partial least squares, Kalman filter and extended Kalman filter, Bayes filter and particle filter; parametric and non-parametric system identification, Wiener-Hopf equation, persistent excitation, unbiased estimates, asymptotic variance, experiment design; function approximation theory, neural nets, radial basis functions, Koopman operator for exact linearization of nonlinear systems, and dynamic mode decomposition. Context-oriented mini-projects: robotics, self-driving cars, biomedical engineering, wearable sensors.
Same subject as 9.175[J] Prereq: 2.151 or permission of instructor G (Fall) 3-0-9 units
Introduction to robotics and learning in machines. Kinematics and dynamics of rigid body systems. Adaptive control, system identification, sparse representations. Force control, adaptive visual servoing. Task planning, teleoperation, imitation learning. Navigation. Underactuated systems, approximate optimization and control. Dynamics of learning and optimization in networks. Elements of biological planning and control. Motor primitives, entrainment, active sensing, binding models. Term projects.
J.-J. E. Slotine, H. Asada
Subject meets with 2.16 Prereq: None G (Spring) Not offered regularly; consult department 3-0-9 units
Prereq: 2.14 , 2.151 , or permission of instructor G (Fall) 3-3-6 units
A comprehensive introduction to digital control system design, reinforced with hands-on laboratory experiences. Major topics include discrete-time system theory and analytical tools; design of digital control systems via approximation from continuous time; direct discrete-time design; loop-shaping design for performance and robustness; state-space design; observers and state-feedback; quantization and other nonlinear effects; implementation issues. Laboratory experiences and design projects connect theory with practice.
D. L. Trumper
Same subject as 1.121[J] Subject meets with 1.052 Prereq: None G (Spring) 3-0-9 units
See description under subject 1.121[J] .
Same subject as CMS.342[J] Subject meets with 2.178[J] , CMS.942[J] Prereq: None U (Fall) 4-2-6 units
Three primary areas of focus are: creating new Virtual Reality experiences; mapping the state of emerging tools; and hosting guests - leaders in the VR/XR community, who serve as coaches for projects. Students have significant leeway to customize their own learning environment. As the field is rapidly evolving, each semester focuses on a new aspect of virtual worlds, based on the current state of innovations. Students work in teams of interdisciplinary peers from Berklee College of Music and Harvard University. Students taking graduate version complete additional assignments.
Same subject as CMS.942[J] Subject meets with 2.177[J] , CMS.342[J] Prereq: None G (Fall) 4-2-6 units
Subject meets with 2.180 Prereq: Biology (GIR) , 18.03 , or permission of instructor G (Spring) 3-0-9 units
Comprehensive introduction to dynamics and control of biomolecular systems with emphasis on design/analysis techniques from control theory. Provides a review of biology concepts, regulation mechanisms, and models. Covers basic enabling technologies, engineering principles for designing biological functions, modular design techniques, and design limitations. Students taking graduate version complete additional assignments.
D. Del Vecchio, R. Weiss
Subject meets with 2.18 Prereq: Biology (GIR) , 18.03 , or permission of instructor U (Spring) 3-0-9 units
D. Del Vecchio
Same subject as 9.34[J] Subject meets with 2.184 Prereq: 2.004 or permission of instructor G (Spring) 3-0-9 units
Presents a quantitative description of how biomechanical and neural factors interact in human sensory-motor behavior. Students survey recent literature on how motor behavior is controlled, comparing biological and robotic approaches to similar tasks. Topics may include a review of relevant neural, muscular and skeletal physiology, neural feedback and "equilibrium-point" theories, co-contraction strategies, impedance control, kinematic redundancy, optimization, intermittency, contact tasks and tool use. Students taking graduate version complete additional assignments.
Subject meets with 2.183[J] , 9.34[J] Prereq: 2.004 or permission of instructor U (Spring) 3-0-9 units
2.20 marine hydrodynamics.
Prereq: 1.060 , 2.006 , 2.016 , or 2.06 G (Fall) 4-1-7 units
The fundamentals of fluid mechanics are developed in the context of naval architecture and ocean science and engineering. Transport theorem and conservation principles. Navier-Stokes' equation. Dimensional analysis. Ideal and potential flows. Vorticity and Kelvin's theorem. Hydrodynamic forces in potential flow, D'Alembert's paradox, added-mass, slender-body theory. Viscous-fluid flow, laminar and turbulent boundary layers. Model testing, scaling laws. Application of potential theory to surface waves, energy transport, wave/body forces. Linearized theory of lifting surfaces. Experimental project in the towing tank or propeller tunnel.
D. K. P. Yue
Subject meets with 2.121 , 2.122 Prereq: 2.20 G (Spring) 3-1-8 units
Design tools for analysis of linear systems and random processes related to ocean vehicles; description of ocean environment including random waves, ocean wave spectra and their selection; short-term and long-term wave statistics; and ocean currents. Advanced hydrodynamics for design of ocean vehicles and offshore structures, including wave forces on towed and moored structures; inertia vs. drag-dominated flows; vortex induced vibrations (VIV) of offshore structures; ship seakeeping and sensitivity of seakeeping performance. Design exercises in application of principles. Laboratory exercises in seakeeping and VIV at model scale.
Prereq: 2.20 and 18.085 Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Spring) 3-0-9 units
Reviews the theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections and unsteady flow problems. Covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, control surface, propeller and wind turbine rotor design. Topics include propeller lifting line and lifting surface theory; wake adapted propellers, steady and unsteady propeller thrust and torque; waterjets; performance analysis and design of wind turbine rotors. Presents numerical principles of vortex lattice and lifting surface panel methods. Projects illustrate the development of theoretical and computational methods for lifting, propulsion and wind turbine applications.
P. D. Sclavounos
Same subject as 1.692[J] Prereq: 2.20 and 18.085 Acad Year 2024-2025: G (Spring) Acad Year 2025-2026: Not offered 4-0-8 units
Surface wave theory, conservation laws and boundary conditions, properties of regular surface waves and random ocean waves. Linearized theory of floating body dynamics, kinematic and dynamic free surface conditions, body boundary conditions. Simple harmonic motions. Diffraction and radiation problems, added mass and damping matrices. General reciprocity identities on diffraction and radiation. Ship wave resistance theory, Kelvin wake physics, ship seakeeping in regular and random waves. Discusses point wave energy absorbers, beam sea and head-sea devises, oscillating water column device and Well's turbine. Discusses offshore floating energy systems and their interaction with ambient waves, current and wind, including oil and gas platforms, liquefied natural gas (LNG) vessels and floating wind turbines. Homework drawn from real-world applications.
Prereq: 2.006 or 2.06; Coreq: 18.075 or 18.085 G (Fall) 4-0-8 units
Survey of principal concepts and methods of fluid dynamics. Mass conservation, momentum, and energy equations for continua. Navier-Stokes equation for viscous flows. Similarity and dimensional analysis. Lubrication theory. Boundary layers and separation. Circulation and vorticity theorems. Potential flow. Introduction to turbulence. Lift and drag. Surface tension and surface tension driven flows.
A. F. Ghoniem, A. E. Hosoi, G. H. McKinley, A. T. Patera
Same subject as 1.631[J] , HST.537[J] Subject meets with 1.063 Prereq: None Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Spring) 3-3-6 units
See description under subject 1.631[J] .
Same subject as 1.63[J] Prereq: 18.085 and ( 2.25 or permission of instructor) G (Spring) Not offered regularly; consult department 4-0-8 units
Fundamentals of fluid dynamics intrinsic to natural physical phenomena and/or engineering processes. Discusses a range of topics and advanced problem-solving techniques. Sample topics include brief review of basic laws of fluid motion, scaling and approximations, creeping flows, boundary layers in high-speed flows, steady and transient, similarity method of solution, buoyancy-driven convection in porous media, dispersion in steady or oscillatory flows, physics and mathematics of linearized instability, effects of shear and stratification. In alternate years, two of the following modules will be offered: I: Geophysical Fluid Dynamics of Coastal Waters, II: Capillary Phenomena, III: Non-Newtonian Fluids, IV: Flagellar Swimming.
T. R. Akylas, G. H. McKinley, R. Stocker
Prereq: 2.006 or (2.051 and 2.06) G (Fall) 3-0-9 units
Fundamentals and modeling of reacting gas dynamics and combustion using analytical and numerical methods. Conservation equations of reacting flows. Multi-species transport, chemical thermodynamics and chemical kinetics. Non-equilibrium flow. Detonation and reacting boundary layers. Ignition, flammability, and extinction. Premixed and diffusion flames. Combustion instabilities. Supersonic combustion. Turbulent combustion. Liquid and solid burning. Fire, safety, and environmental impact. Applications to power and propulsion.
A. F. Ghoniem
Subject meets with 2.290 Prereq: 18.075 and ( 2.006 , 2.016 , 2.06, 2.20 , or 2.25 ) G (Spring) Not offered regularly; consult department 4-0-8 units
Introduction to numerical methods and MATLAB: errors, condition numbers and roots of equations. Navier-Stokes. Direct and iterative methods for linear systems. Finite differences for elliptic, parabolic and hyperbolic equations. Fourier decomposition, error analysis and stability. High-order and compact finite-differences. Finite volume methods. Time marching methods. Navier-Stokes solvers. Grid generation. Finite volumes on complex geometries. Finite element methods. Spectral methods. Boundary element and panel methods. Turbulent flows. Boundary layers. Lagrangian Coherent Structures. Includes a final research project. Students taking graduate version complete additional assignments.
P. F. J. Lermusiaux
Subject meets with 2.29 Prereq: 2.005 U (Spring) Not offered regularly; consult department 4-0-8 units
P. Lermusiaux
Same subject as 10.531[J] Prereq: 2.25 , 10.301 , or permission of instructor G (Spring) Not offered regularly; consult department 3-0-6 units
Physical phenomena in polymeric liquids undergoing deformation and flow. Kinematics and material functions for complex fluids; techniques of viscometry, rheometry; and linear viscoelastic measurements for polymeric fluids. Generalized Newtonian fluids. Continuum mechnanics, frame invariance, and convected derivatives for finite strain viscoelasticity. Differential and integral constitutive equations for viscoelastic fluids. Analytical solutions to isothermal and non-isothermal flow problems; the roles of non-Newtonian viscosity, linear viscoelasticity, normal stresses, elastic recoil, stress relaxation in processing flows. Introduction to molecular theories for dynamics of polymeric fluids. (Extensive class project and presentation required instead of a final exam).
R. C. Armstrong, G. H. McKinley
2.37 fundamentals of nanoengineering.
Subject meets with 2.370 Prereq: Permission of instructor G (Spring) 3-0-9 units
Presents the fundamentals of molecular modeling in engineering in the context of nanoscale mechanical engineering applications. Statistical mechanics and its connection to engineering thermodynamics. Molecular origin and limitations of macroscopic descriptions and constitutive relations for equilibrium and non-equilibrium behavior. Introduction to molecular simulation, solid-state physics and electrokinetic phenomena. Discusses molecular approaches to modern nanoscale engineering problems. Graduate students are required to complete additional assignments with stronger analytical content.
N. G. Hadjiconstantinou
Subject meets with 2.37 Prereq: Chemistry (GIR) and 2.001 U (Spring) 3-0-9 units
Same subject as 6.6600[J] Prereq: 2.710 , 6.2370 , 6.2600[J] , or permission of instructor G (Spring) 4-0-8 units
See description under subject 6.6600[J] .
K. K. Berggren
2.42 general thermodynamics.
Prereq: Permission of instructor G (Fall) 3-0-9 units
General foundations of thermodynamics from an entropy point of view, entropy generation and transfer in complex systems. Definitions of work, energy, stable equilibrium, available energy, entropy, thermodynamic potential, and interactions other than work (nonwork, heat, mass transfer). Applications to properties of materials, bulk flow, energy conversion, chemical equilibrium, combustion, and industrial manufacturing.
Prereq: 2.42 or permission of instructor G (Spring) 4-0-8 units
<p class="xmsolistparagraph">Self-contained concise review of general thermodynamics concepts, multicomponent equilibrium properties, chemical equilibrium, electrochemical potentials, and chemical kinetics, as needed to introduce the methods of nonequilibrium thermodynamics and to provide a unified understanding of phase equilibria, transport and nonequilibrium phenomena useful for future energy and climate engineering technologies. Applications include: second-law efficiencies and methods to allocate primary energy consumptions and CO2 emissions in cogeneration and hybrid power systems, minimum work of separation, maximum work of mixing, osmotic pressure and membrane equilibria, metastable states, spinodal decomposition, Onsager's near-equilibrium reciprocity in thermodiffusive, thermoelectric, and electrokinetic cross effects.
G. P. Beretta
2.500 desalination and water purification.
Prereq: 1.020 , 2.006 , 10.302 , (2.051 and 2.06), or permission of instructor G (Spring) Not offered regularly; consult department 3-0-9 units
Introduces the fundamental science and technology of desalinating water to overcome water scarcity and ensure sustainable water supplies. Covers basic water chemistry, flash evaporation, reverse osmosis and membrane engineering, electrodialysis, nanofiltration, solar desalination, energy efficiency of desalination systems, fouling and scaling, environmental impacts, and economics of desalination systems. Open to upper-class undergraduates.
J. H. Lienhard, M. Balaban
Prereq: ( 2.005 and 18.03 ) or permission of instructor U (Fall) Not offered regularly; consult department 3-0-9 units
Covers conduction (governing equations and boundary conditions, steady and unsteady heat transfer, resistance concept); laminar and turbulent convection (forced-convection and natural-convection boundary layers, external flows); radiation (blackbody and graybody exchange, spectral and solar radiation); coupled conduction, convection, radiation problems; synthesis of analytical, computational, and experimental techniques; and mass transfer at low rates, evaporation.
J. H. Lienhard, A. T. Patera, E. N. Wang
Same subject as 4.424[J] Prereq: 2.51 G (Fall) Not offered regularly; consult department 3-0-9 units
Provides instruction on how to model thermal transport processes in typical engineering systems such as those found in manufacturing, machinery, and energy technologies. Successive modules cover basic modeling tactics for particular modes of transport, including steady and unsteady heat conduction, convection, multiphase flow processes, and thermal radiation. Includes a creative design project executed by the students.
L. R. Glicksman
Prereq: 2.51 G (Spring) 4-0-8 units
Advanced treatment of fundamental aspects of heat and mass transport. Covers topics such as diffusion kinetics, conservation laws, laminar and turbulent convection, mass transfer including phase change or heterogeneous reactions, and basic thermal radiation. Problems and examples include theory and applications drawn from a spectrum of engineering design and manufacturing problems.
J. H. Lienhard
Subject meets with 2.570 Prereq: 2.005 , 2.051, or permission of instructor G (Fall) 3-0-9 units
Parallel treatments of photons, electrons, phonons, and molecules as energy carriers; aiming at a fundamental understanding of descriptive tools for energy and heat transport processes, from nanoscale to macroscale. Topics include energy levels; statistical behavior and internal energy; energy transport in the forms of waves and particles; scattering and heat generation processes; Boltzmann equation and derivation of classical laws; and deviation from classical laws at nanoscale and their appropriate descriptions. Applications in nanotechnology and microtechnology. Students taking the graduate version complete additional assignments.
Subject meets with 2.57 Prereq: 2.005 , 2.051, or permission of instructor U (Fall) 3-0-9 units
Prereq: 2.51 , 10.302 , or permission of instructor G (Spring) Not offered regularly; consult department 3-0-9 units
Principles of thermal radiation and their application to engineering heat and photon transfer problems. Quantum and classical models of radiative properties of materials, electromagnetic wave theory for thermal radiation, radiative transfer in absorbing, emitting, and scattering media, and coherent laser radiation. Applications cover laser-material interactions, imaging, infrared instrumentation, global warming, semiconductor manufacturing, combustion, furnaces, and high temperature processing.
Same subject as 10.536[J] , 22.313[J] Prereq: 2.006 , 10.302 , 22.312 , or permission of instructor G (Fall) 3-2-7 units
See description under subject 22.313[J] .
E. Baglietto, M. Bucci
2.60[j] fundamentals of advanced energy conversion.
Same subject as 10.390[J] Subject meets with 2.62[J] , 10.392[J] , 22.40[J] Prereq: 2.006 , (2.051 and 2.06), or permission of instructor U (Spring) 4-0-8 units
Fundamentals of thermodynamics, chemistry, and transport applied to energy systems. Analysis of energy conversion and storage in thermal, mechanical, chemical, and electrochemical processes in power and transportation systems, with emphasis on efficiency, performance, and environmental impact. Applications to fuel reforming and alternative fuels, hydrogen, fuel cells and batteries, combustion, catalysis, combined and hybrid power cycles using fossil, nuclear and renewable resources. CO 2 separation and capture. Biomass energy. Students taking graduate version complete additional assignments.
A. F. Ghoniem, W. Green
Prereq: 2.003[J] U (Fall) Not offered regularly; consult department 4-0-8 units
Introduces the fundamentals of power system structure, operation and control. Emphasizes the challenges and opportunities for integration of new technologies: photovoltaic, wind, electric storage, demand response, synchrophasor measurements. Introduces the basics of power system modeling and analysis. Presents the basic phenomena of voltage and frequency stability as well technological and regulatory constraints on system operation. Describes both the common and emerging automatic control systems and operator decision-making policies. Relies on a combination of traditional lectures, homework assignments, and group projects. Students taking graduate version complete additional assignments.
K. Turitsyn
Prereq: 2.006 G (Spring) Not offered regularly; consult department 3-1-8 units
Fundamentals of how the design and operation of internal combustion engines affect their performance, efficiency, fuel requirements, and environmental impact. Study of fluid flow, thermodynamics, combustion, heat transfer and friction phenomena, and fuel properties, relevant to engine power, efficiency, and emissions. Examination of design features and operating characteristics of different types of internal combustion engines: spark-ignition, diesel, stratified-charge, and mixed-cycle engines. Engine Laboratory project. For graduate and senior undergraduate students.
W. K. Cheng
Subject meets with 2.612 Prereq: 2.005 G (Fall) 4-0-8 units
Selection and evaluation of commercial and naval ship power and propulsion systems. Analysis of propulsors, prime mover thermodynamic cycles, propeller-engine matching. Propeller selection, waterjet analysis, review of alternative propulsors; thermodynamic analyses of Rankine, Brayton, Diesel, and Combined cycles, reduction gears and integrated electric drive. Battery operated vehicles, fuel cells. Term project requires analysis of alternatives in propulsion plant design for given physical, performance, and economic constraints. Graduate students complete different assignments and exams.
J. Harbour, M. S. Triantafyllou, R. S. McCord
Subject meets with 2.611 Prereq: 2.005 U (Fall) 4-0-8 units
Same subject as 10.392[J] , 22.40[J] Subject meets with 2.60[J] , 10.390[J] Prereq: 2.006 , (2.051 and 2.06), or permission of instructor G (Spring) 4-0-8 units
Fundamentals of thermodynamics, chemistry, and transport applied to energy systems. Analysis of energy conversion and storage in thermal, mechanical, chemical, and electrochemical processes in power and transportation systems, with emphasis on efficiency, performance and environmental impact. Applications to fuel reforming and alternative fuels, hydrogen, fuel cells and batteries, combustion, catalysis, combined and hybrid power cycles using fossil, nuclear and renewable resources. CO 2 separation and capture. Biomass energy. Meets with 2.60[J] when offered concurrently; students taking the graduate version complete additional assignments.
Same subject as 10.625[J] Prereq: 2.005 , 3.046 , 3.53 , 10.40 , (2.051 and 2.06), or permission of instructor G (Fall) Not offered regularly; consult department 4-0-8 units
Fundamental concepts, tools, and applications in electrochemical science and engineering. Introduces thermodynamics, kinetics and transport of electrochemical reactions. Describes how materials structure and properties affect electrochemical behavior of particular applications, for instance in lithium rechargeable batteries, electrochemical capacitors, fuel cells, photo electrochemical cells, and electrolytic cells. Discusses state-of-the-art electrochemical energy technologies for portable electronic devices, hybrid and plug-in vehicles, electrical vehicles. Theoretical and experimental exploration of electrochemical measurement techniques in cell testing, and in bulk and interfacial transport measurements (electronic and ionic resistivity and charge transfer cross the electrode-electrolyte interface).
Y. Shao-Horn
Prereq: Permission of instructor G (Fall) Not offered regularly; consult department 4-0-8 units
Fundamentals of photoelectric conversion: charge excitation, conduction, separation, and collection. Studies commercial and emerging photovoltaic technologies. Cross-cutting themes include conversion efficiencies, loss mechanisms, characterization, manufacturing, systems, reliability, life-cycle analysis, and risk analysis. Photovoltaic technology evolution in the context of markets, policies, society, and environment. Graduate students complete additional work.
T. Buonassisi
Prereq: Permission of instructor U (Fall) Not offered regularly; consult department 4-0-8 units
Prereq: None G (Fall) Not offered regularly; consult department 3-0-9 units
Interfacial interactions are ubiquitous in many industries including energy, water, agriculture, medical, transportation, and consumer products. Transport processes are typically limited by interfaces. Addresses how interfacial properties (eg., chemistry, morphology, thermal, electrical) can be engineered for significant efficiency enhancements. Topics include surface tension and wetting phenomena, thermodynamics of interfaces, surface chemistry and morphology, nonwetting, slippery, and superwetting surfaces, charged interfaces and electric double layers, intermolecular forces, Van der Waals and double-layer forces, DLVO theory, electrowetting and electro-osmotic flows, electrochemical bubbles, surfactants, phase transitions, and bio-interfaces. Manufacturing approaches, entrepreneurial efforts to translate technologies to markets, guest lectures and start-up company tours provide real-world exposure. Anticipated enrollment is 15-20.
K. Varanasi
Same subject as 1.818[J] , 10.391[J] , 11.371[J] , 22.811[J] Subject meets with 2.650[J] , 10.291[J] , 22.081[J] Prereq: Permission of instructor Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Fall) 3-1-8 units
See description under subject 22.811[J] .
M. W. Golay
Same subject as 10.291[J] , 22.081[J] Subject meets with 1.818[J] , 2.65[J] , 10.391[J] , 11.371[J] , 22.811[J] Prereq: Permission of instructor Acad Year 2024-2025: Not offered Acad Year 2025-2026: U (Fall) 3-1-8 units
See description under subject 22.081[J] . Limited to juniors and seniors.
Same subject as EC.711[J] Subject meets with EC.791 Prereq: None U (Spring) 3-2-7 units
See description under subject EC.711[J] . Enrollment limited by lottery; must attend first class session.
D. Sweeney, S. Hsu
Same subject as EC.712[J] Subject meets with EC.782 Prereq: None U (Fall) 4-0-8 units
See description under subject EC.712[J] . Limited to 20; preference to students who have taken EC.711[J] .
D. Sweeney, Staff
2.670 mechanical engineering tools.
Prereq: None U (Fall, IAP, Spring) 0-1-2 units
Introduces the fundamentals of machine tools use and fabrication techniques. Students work with a variety of machine tools including the bandsaw, milling machine, and lathe. Mechanical Engineering students are advised to take this subject in the first IAP after declaring their major. Enrollment may be limited due to laboratory capacity. Preference to Course 2 majors and minors.
M. Culpepper
Prereq: Physics II (GIR) , 2.001 , 2.003[J] , and 2.086 U (Fall, Spring) 3-3-6 units. Institute LAB
Introduces fundamental concepts and experimental techniques for observation and measurement of physical variables such as force and motion, liquid and gas properties, physiological parameters, and measurements of light, sound, electrical quantities, and temperature. Emphasizes mathematical techniques including uncertainty analysis and statistics, Fourier analysis, frequency response, and correlation functions. Uses engineering knowledge to select instruments and design experimental methods to obtain and interpret meaningful data. Guided learning during lab experiments promotes independent experiment design and measurements performed outside the lab in the semester-long "Go Forth and Measure" project. Advances students' ability to critically read, evaluate, and extract specific technical meaning from information in a variety of media, and provides extensive instruction and practice in written, graphical, and oral communication. Enrollment limited.
I. W. Hunter, M. Kolle, B. Hughey
Same subject as 20.309[J] Subject meets with 20.409 Prereq: ( Biology (GIR) , Physics II (GIR) , 6.100B , and 18.03 ) or permission of instructor U (Fall, Spring) 3-6-3 units
See description under subject 20.309[J] . Enrollment limited; preference to Course 20 undergraduates.
P. Blainey, S. Manalis, E. Frank, S. Wasserman, J. Bagnall, E. Boyden, P. So
Prereq: Physics II (GIR) or permission of instructor U (Spring) 1-3-2 units Credit cannot also be received for 2.675 , 2.676
Presents concepts, ideas, and enabling tools for nanoengineering through experiential lab modules, which include microfluidics, microelectromechanical systems (MEMS), and nanomaterials and nanoimaging tools such as scanning electron microscopy (SEM), transmission electron microscopy (TEM), and atomic-force microscopy (AFM). Provides knowledge and experience via building, observing and manipulating micro- and nanoscale structures. Exposes students to fluid, thermal, and dynamic systems at small scales. Enrollment limited; preference to Course 2 and 2-A majors and minors.
N. Fang, S. G. Kim, R. Karnik, M. Kolle, J. Kim
Subject meets with 2.676 Prereq: 2.25 and (6.777 or permission of instructor) G (Fall) 2-3-7 units Credit cannot also be received for 2.674
Covers advanced nanoengineering via practical lab modules in connection with classical fluid dynamics, mechanics, thermodynamics, and material physics. Labs include microfluidic systems, microelectromechanical systems (MEMS), emerging nanomaterials such as graphene, carbon nanotubes (CNTs), and nanoimaging tools. Student teams lead an experimental term project that uses the tools and knowledge acquired through the lab modules and experimental work, and culminates in a report and presentation. Recitations cover idea development, experiment design, planning and execution, and analysis of results pertinent to the project. Enrollment limited.
B. Comeau, J. Kim
Subject meets with 2.675 Prereq: 2.001 , 2.003[J] , 2.671 , and Coreq: ( 2.005 or (2.051 and 2.06)) ; or permission of instructor U (Fall) 2-3-7 units Credit cannot also be received for 2.674
Studies advanced nanoengineering via experiental lab modules with classical fluid dynamics, mechanics, thermodynamics, and materials science. Lab modules include microfluidic systems; microelectromechanical systems (MEMS); emerging nanomaterials, such as graphene and carbon nanotubes (CNTs); and nanoimaging tools. Recitation develops in-depth knowledge and understanding of physical phenomena observed in the lab through quantitative analysis. Students have the option to engage in term projects led by students taking 2.675 . Enrollment limited; preference to Course 2 and 2-OE majors and minors.
Prereq: 2.00A and 2.086 ; Coreq: 2.016 or permission of instructor U (Fall) Not offered regularly; consult department 0-3-3 units
Design and experimental observation for ocean engineering systems focusing on the fundamentals of ocean wave propagation, ocean wave spectra and wave dispersion, cavitation, added mass, acoustic sound propagation in water, sea loads on offshore structures, design of experiments for ship model testing, fish-like swimming propulsion, propellers, and ocean energy harvesting. Emphasizes fundamentals of data analysis of signals from random environments using Fourier transforms, noise filtering, statistics and error analysis using MATLAB. Students carry out experiential laboratory exercises in various Ocean Engineering laboratories on campus, including short labs and demos, longer exercises with written reports, and a final experimental design project. Enrollment may be limited due to laboratory capacity.
Prereq: Physics II (GIR) U (Fall, Spring) 2-2-2 units
Practical introduction to the fundamentals of electronics in the context of electro-mechanical systems, with emphasis on experimentation and project work in basic electronics. Laboratory exercises include the design and construction of simple electronic devices, such as power supplies, amplifiers, op-amp circuits, switched mode dc-dc converters, and dc motor drivers. Surveys embedded microcontrollers as system elements. Laboratory sessions stress the understanding of electronic circuits at the component level, but also point out the modern approach of system integration using commercial modules and specialized integrated circuits. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors.
S. Banzaert, J. Leonard, M. Kolle, D. Trumper
Prereq: 2.086 , 2.678 , and 18.03 U (Spring) 2-3-1 units
Extends the concepts and techniques developed in 2.678 to include complex systems and modeling of real-world elements with a strong emphasis on lab experimentation and independent project work. Topics include sampling theory, energy storage, embedded mobile systems, autonomous navigation, printed circuit board design, system integration, and machine vision. Enrollment may be limited; preference to Course 2 majors.
S. Banzaert, J. Leonard
2.680 unmanned marine vehicle autonomy, sensing, and communication.
Prereq: Permission of instructor G (Spring) 2-6-4 units
Focuses on software and algorithms for autonomous decision making (autonomy) by underwater vehicles operating in ocean environments. Discusses how autonomous marine vehicles (UMVs) adapt to the environment for improved sensing performance. Covers sensors for acoustic, biological and chemical sensing and their integration with the autonomy system for environmentally adaptive undersea mapping and observation. Introduces students to the underwater acoustic communication environment and various options for undersea navigation, highlighting their relevance to the operation of collaborative undersea networks for environmental sensing. Labs involve the use of the MOOP-IvP autonomy software for the development of integrated sensing, modeling and control solutions. Solutions modeled in simulation environments and include field tests with small autonomous surface and underwater vehicles operated on the Charles River. Limited enrollment.
H. Schmidt, J. J. Leonard, M. Benjamin
Prereq: 2.066 , 18.075 , or permission of instructor G (Fall) 3-0-9 units
Fundamentals of underwater sound, and its application to mapping and surveillance in an ocean environment. Wave equations for fluid and elastic media. Reflection and transmission of sound at plane interfaces. Wave theory representation of acoustic source radiation and propagation in shallow and deep ocean waveguides. Interaction of underwater sound with elastic waves in the seabed and an Arctic ice cover, including effects of porosity and anisotropy. Numerical modeling of the propagation of underwater sound, including spectral methods, normal mode theory, and the parabolic equation method, for laterally homogeneous and inhomogeneous environments. Doppler effects. Effects of oceanographic variability and fluctuation - spatial and temporal coherence. Generation and propagation of ocean ambient noise. Modeling and simulation of signals and noise in traditional sonar systems, as well as modern, distributed, autonomous acoustic surveillance systems.
Prereq: 2.681 G (Spring) Not offered regularly; consult department 3-0-9 units Can be repeated for credit.
Provides brief overview of what important current research topics are in oceanography (physical, geological, and biological) and how acoustics can be used as a tool to address them. Three typical examples are climate, bottom geology, and marine mammal behavior. Addresses the acoustic inverse problem, reviewing inverse methods (linear and nonlinear) and the combination of acoustical methods with other measurements as an integrated system. Concentrates on specific case studies, taken from current research journals.
J. F. Lynch, Woods Hole Staff
Prereq: 2.681 G (Spring) 3-0-9 units Can be repeated for credit.
Both active and passive acoustic methods of measuring marine organisms, the seafloor, and their interactions are reviewed. Acoustic methods of detecting, observing, and quantifying marine biological organisms are described, as are acoustic methods of measuring geological properties of the seafloor, including depth, and surficial and volumetric composition. Interactions are also described, including effects of biological scatterers on geological measurements, and effects of seafloor scattering on measurements of biological scatterers on, in, or immediately above the seafloor. Methods of determining small-scale material properties of organisms and the seafloor are outlined. Operational methods are emphasized, and corresponding measurement theory is described. Case studies are used in illustration. Principles of acoustic-system calibration are elaborated.
K. G. Foote, Woods Hole Staff
Prereq: 2.066 or permission of instrctor G (Fall) Not offered regularly; consult department 3-0-9 units Can be repeated for credit.
An advanced-level subject designed to give students a working knowledge of current techniques in this area. Material is presented principally in the context of ocean acoustics, but can be used in other acoustic and electromagnetic applications. Includes fundamentals of wave propagation through, and/or scattering by: random media, extended coherent structures, rough surfaces, and discrete scatterers.
T. K. Stanton, A. C. Lavery, Woods Hole Staff
Prereq: 6.3010 and 18.06 G (Fall, Spring) Not offered regularly; consult department 3-0-9 units Can be repeated for credit.
Covers matched filtering, power spectral (PSD) estimation, and adaptive signal processing / system identification algorithms. Algorithm development is framed as an optimization problem, and optimal and approximate solutions are described. Reviews time-varying systems, first and second moment representations of stochastic processes, and state-space models. Also covers algorithm derivation, performance analysis, and robustness to modeling errors. Algorithms for PSD estimation, the LMS and RLS algorithms, and the Kalman Filter are treated in detail.
J. C. Preisig, Woods Hole Staff
Prereq: 2.671 and 18.075 G (Fall) 3-3-6 units
Introduces theoretical and practical principles of design of oceanographic sensor systems. Transducer characteristics for acoustic, current, temperature, pressure, electric, magnetic, gravity, salinity, velocity, heat flow, and optical devices. Limitations on these devices imposed by ocean environment. Signal conditioning and recording; noise, sensitivity, and sampling limitations; standards. Principles of state-of-the-art systems being used in physical oceanography, geophysics, submersibles, acoustics discussed in lectures by experts in these areas. Day cruises in local waters during which the students will prepare, deploy and analyze observations from standard oceanographic instruments constitute the lab work for this subject.
H. Singh, R. Geyer, A. Michel
Same subject as 1.699[J] Prereq: Permission of instructor G (Fall, Spring, Summer) Units arranged [P/D/F] Can be repeated for credit.
Projects in oceanographic engineering, carried out under supervision of Woods Hole Oceanographic Institution staff. Given at Woods Hole Oceanographic Institution.
J. Preisig, Woods Hole Staff
Prereq: 3.012 and permission of instructor G (Summer) 3-0-3 units
Introduction to forms of corrosion encountered in marine systems material selection, coatings and protection systems. Case studies and causal analysis developed through student presentations.
J. Page, T. Eagar
2.700 principles of naval architecture.
Subject meets with 2.701 Prereq: 2.002 U (Fall) 4-2-6 units
Presents principles of naval architecture, ship geometry, hydrostatics, calculation and drawing of curves of form, intact and damage stability, hull structure strength calculations and ship resistance. Introduces computer-aided naval ship design and analysis tools. Projects include analysis of ship lines drawings, calculation of ship hydrostatic characteristics, analysis of intact and damaged stability, ship model testing, and hull structure strength calculations. Students taking graduate version complete additional assignments.
R. Bebermeyer, P. D. Sclavounos
Subject meets with 2.700 Prereq: 2.002 G (Fall) 4-2-6 units
R. Bebermeyer, P. Sclavounuos
Prereq: 2.701 G (Spring) 3-3-6 units
Introduces principles of systems engineering and ship design with an overview of naval ship design and acquisition processes, requirements setting, formulation of a systematic plan, design philosophy and constraints, formal decision making methods, selection criteria, optimization, variant analysis, trade-offs, analysis of ship design trends, risk, and cost analysis. Emphasizes the application of principles through completion of a design exercise and project.
R. Bebermeyer, A. Gillespy
Prereq: 2.082 , 2.20 , 2.611 , and 2.702 G (Fall) 4-2-6 units
Covers the design of surface ship platforms for naval applications. Includes topics such as hull form selection and concept design synthesis, topside and general arrangements, weight estimation, and technical feasibility analyses (including strength, stability, seakeeping, and survivability.). Practical exercises involve application of design principles and utilization of advanced computer-aided ship design tools.
J. Harbour, J. Page
Prereq: 2.703 G (IAP, Spring) 1-6-5 units
Focuses on conversion design of a naval ship. A new mission requirement is defined, requiring significant modification to an existing ship. Involves requirements setting, design plan formulation and design philosophy, and employs formal decision-making methods. Technical aspects demonstrate feasibility and desirability. Includes formal written and verbal reports and team projects.
Prereq: 2.704 G (Fall, Spring) Units arranged Can be repeated for credit.
Focus on preliminary design of a new naval ship, fulfilling a given set of mission requirements. Design plan formulation, system level trade-off studies, emphasizes achieving a balanced design and total system integration. Formal written and oral reports. Team projects extend over three terms.
R. Bebermeyer, R. Jonart
Prereq: 2.066 G (Spring; first half of term) Not offered regularly; consult department 2-0-4 units
Introduction to the acoustic interaction of submerged structures with the surrounding fluid. Fluid and elastic wave equations. Elastic waves in plates. Radiation and scattering from planar structures as well as curved structures such as spheres and cylinders. Acoustic imaging of structural vibrations. Students can take 2.085 in the second half of term.
Prereq: None G (IAP) Not offered regularly; consult department 2-0-1 units
Week-long intensive introduction to traditional design methods in which students hand draw a lines plan of a N. G. Herreshoff (MIT Class of 1870) design based on hull shape offsets taken from his original design model. After completing the plan, students then carve a wooden half-hull model of the boat design. Covers methods used to develop hull shape analysis data from lines plans. Provides students with instruction in safe hand tool use and how to transfer their lines to 3D in the form of their model. Limited to 15.
K. Hasselbalch, J. Harbour
Subject meets with 2.710 Prereq: ( Physics II (GIR) , 2.004 , and 18.03 ) or permission of instructor U (Fall) 3-0-9 units
Introduction to optical science with elementary engineering applications. Geometrical optics: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Wave optics: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Emphasis on analytical and numerical tools used in optical design. Graduate students are required to complete additional assignments with stronger analytical content, and an advanced design project.
G. Barbastathis, P. T. So
Subject meets with 2.71 Prereq: ( Physics II (GIR) , 2.004 , and 18.03 ) or permission of instructor G (Fall) 3-0-9 units
Same subject as 20.487[J] Prereq: Permission of instructor G (Spring) Not offered regularly; consult department 3-0-9 units
Introduces the theory and the design of optical microscopy and its applications in biology and medicine. The course starts from an overview of basic optical principles allowing an understanding of microscopic image formation and common contrast modalities such as dark field, phase, and DIC. Advanced microscopy imaging techniques such as total internal reflection, confocal, and multiphoton will also be discussed. Quantitative analysis of biochemical microenvironment using spectroscopic techniques based on fluorescence, second harmonic, Raman signals will be covered. We will also provide an overview of key image processing techniques for microscopic data.
P. T. So, C. Sheppard
Prereq: 2.710 or permission of instructor G (Spring) Not offered regularly; consult department 3-0-9 units
Theory and practice of optical methods in engineering and system design. Emphasis on diffraction, statistical optics, holography, and imaging. Provides engineering methodology skills necessary to incorporate optical components in systems serving diverse areas such as precision engineering and metrology, bio-imaging, and computing (sensors, data storage, communication in multi-processor systems). Experimental demonstrations and a design project are included.
P. T. So, G. Barbastathis
Subject meets with 2.719 Prereq: 2.003[J] , 8.03 , 6.2370 , or permission of instructor U (Spring) 3-0-9 units
Provides a review of Maxwell's equations and the Helmholtz wave equation. Optical devices: waveguides and cavities, phase and group velocity, causality, and scattering. Light-matter interaction in bulk, surface, and subwavelength-structured matter. Effective media, dispersion relationships, wavefronts and rays, eikonal description of light propagation, phase singularities. Transformation optics, gradient effective media. Includes description of the experimental tools for realization and measurement of photonic materials and effects. Students taking graduate version complete additional assignments.
G. Barbastathis, N. Fang
Subject meets with 2.718 Prereq: 2.003[J] , 8.03 , 6.2370 , or permission of instructor G (Spring) 3-0-9 units
Subject meets with 2.77 Prereq: 2.008 U (Fall) 3-3-6 units
Examines design, selection, and combination of machine elements to produce a robust precision system. Introduces process, philosophy and physics-based principles of design to improve/enable renewable power generation, energy efficiency, and manufacturing productivity. Topics include linkages, power transmission, screws and gears, actuators, structures, joints, bearings, error apportionment, and error budgeting. Considers each topic with respect to its physics of operation, mechanics (strength, deformation, thermal effects) and accuracy, repeatability, and resolution. Includes guest lectures from practicing industry and academic leaders. Students design, build, and test a small benchtop precision machine, such as a heliostat for positioning solar PV panels or a two or three axis machine. Prior to each lecture, students review the pre-recorded detailed topic materials and then converge on what parts of the topic they want covered in extra depth in lecture. Students are assessed on their preparation for and participation in class sessions. Students taking graduate version complete additional assignments. Enrollment limited.
Subject meets with 2.70 Prereq: 2.008 G (Fall) 3-3-6 units
Subject meets with 2.720 Prereq: 2.008 and ( 2.005 or 2.051); Coreq: 2.671 U (Spring) 3-3-6 units
Advanced study of modeling, design, integration, and best practices for use of machine elements, such as bearings, bolts, belts, flexures, and gears. Modeling and analysis is based upon rigorous application of physics, mathematics, and core mechanical engineering principles, which are reinforced via laboratory experiences and a design project in which students model, design, fabricate, and characterize a mechanical system that is relevant to a real-world application. Activities and quizzes are directly related to, and coordinated with, the project deliverables. Develops the ability to synthesize, model and fabricate a design subject to engineering constraints (e.g., cost, time, schedule). Students taking graduate version complete additional assignments. Enrollment limited.
M. L. Culpepper
Subject meets with 2.72 Prereq: Permission of instructor G (Spring) 3-3-6 units
Advanced study of modeling, design, integration, and best practices for use of machine elements, such as bearings, bolts, belts, flexures, and gears. Modeling and analysis is based upon rigorous application of physics, mathematics, and core mechanical engineering principles, which are reinforced via laboratory experiences and a design project in which students model, design, fabricate, and characterize a mechanical system that is relevant to a real-world application. Activities and quizzes are directly related to, and coordinated with, the project deliverables. Develops the ability to synthesize, model and fabricate a design subject to engineering constraints (e.g., cost, time, schedule). Students taking graduate version complete additional assignments.
Same subject as EC.720[J] Prereq: 2.670 or permission of instructor U (Spring) 3-0-9 units
See description under subject EC.720[J] . Enrollment limited by lottery; must attend first class session.
Same subject as 6.9101[J] , 16.6621[J] Prereq: None U (Fall, Spring; first half of term) 2-0-1 units
See description under subject 6.9101[J] . Enrollment limited to 25; priority to first-year students.
Engineering School-Wide Elective Subject. Offered under: 2.723A , 6.910A , 16.662A Prereq: None U (Fall, Spring; first half of term) 2-0-1 units
See description under subject 6.910A .
Engineering School-Wide Elective Subject. Offered under: 2.723B , 6.910B , 16.662B Prereq: 6.910A U (Fall, Spring; second half of term) 2-0-1 units
See description under subject 6.910B .
Same subject as EC.729[J] Subject meets with 2.789[J] , EC.797[J] Prereq: None. Coreq: 2.008 ; or permission of instructor U (Fall) 3-2-7 units
See description under subject EC.729[J] .
M. Yang, M. Kenney
Subject meets with 2.013 Prereq: ( 2.001 , 2.003[J] , ( 2.005 or 2.051), and ( 2.00B , 2.670 , or 2.678 )) or permission of instructor G (Fall) 0-6-6 units
Focuses on the design of engineering systems to satisfy stated performance, stability, and/or control requirements. Emphasizes individual initiative, application of fundamental principles, and the compromises inherent in the engineering design process. Culminates in the design of an engineering system, typically a vehicle or other complex system. Includes instruction and practice in written and oral communication through team presentation, design reviews, and written reports. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity.
Subject meets with 2.014 Prereq: ( 2.001 , 2.003[J] , ( 2.005 or 2.051), and ( 2.00B , 2.670 , or 2.678 )) or permission of instructor G (Spring) 0-6-6 units
Focuses on the implementation and operation of engineering systems. Emphasizes system integration and performance verification using methods of experimental inquiry. Students refine their subsystem designs and the fabrication of working prototypes. Includes experimental analysis of subperformance and comparison with physical models of performance and with design goals. component integration into the full system, with detailed analysis and operation of the complete vehicle in the laboratory and in the field. Includes written and oral reports. Students carry out formal reviews of the overall system design. Instruction and practice in oral and written communication provided. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity.
Prereq: 6.2000 and ( 2.14 , 6.3100 , or 16.30 ) Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Fall) 3-5-4 units
Introduction to designing mechatronic systems, which require integration of the mechanical and electrical engineering disciplines within a unified framework. Significant laboratory-based design experiences form subject's core. Final project. Topics include: low-level interfacing of software with hardware; use of high-level graphical programming tools to implement real-time computation tasks; digital logic; analog interfacing and power amplifiers; measurement and sensing; electromagnetic and optical transducers; control of mechatronic systems. Limited to 20.
Same subject as 15.783[J] Prereq: 2.009 , 15.761 , 15.778 , 15.814 , or permission of instructor G (Spring) 3-3-6 units
See description under subject 15.783[J] . Engineering students accepted via lottery based on WebSIS pre-registration.
S. Eppinger, M. C. Yang
Subject meets with 2.740 Prereq: 2.004 or permission of instructor U (Fall) 3-1-8 units
Interdisciplinary approach to bio-inspired design, with emphasis on principle extraction applicable to various robotics research fields, such as robotics, prosthetics, and human assistive technologies. Focuses on three main components: biomechanics, numerical techniques that allow multi-body dynamics simulation with environmental interaction and optimization, and basic robotics techniques and implementation skills. Students integrate the components into a final robotic system project of their choosing through which they must demonstrate their understanding of dynamics and control and test hypothesized design principles. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity.
Subject meets with 2.74 Prereq: 2.004 or permission of instructor G (Fall) 3-3-6 units
Interdisciplinary approach to bio-inspired design, with emphasis on principle extraction applicable to various robotics research fields, such as robotics, prosthetics, and human assistive technologies. Focuses on three main components: biomechanics, numerical techniques that allow multi-body dynamics simulation with environmental interaction and optimization, and basic robotics techniques and implementation skills. Students integrate the components into a final robotic system project of their choosing through which they must demonstrate their understanding of dynamics and control and test hypothesized design principles. Students taking graduate version complete additional assignments. Enrollment may be limited due to lab capacity.
Prereq: 2.009 G (Spring) Not offered regularly; consult department 3-0-9 units
Project-centered subject addressing transformation of ideas into successful products which are properly matched to the user and the market. Students are asked to take a more complete view of a new product and to gain experience with designs judged on their aesthetics, ease of use, and sensitivities to the realities of the marketplace. Lectures on modern design process, industrial design, visual communication, form-giving, mass production, marketing, and environmentally conscious design.
Same subject as 6.4861[J] , HST.552[J] Subject meets with 2.750[J] , 6.4860[J] Prereq: 2.008 , 6.2040 , 6.2050 , 6.2060 , 22.071 , or permission of instructor G (Spring) 3-3-6 units
Provides an intense project-based learning experience around the design of medical devices with foci ranging from mechanical to electro mechanical to electronics. Projects motivated by real-world clinical challenges provided by sponsors and clinicians who also help mentor teams. Covers the design process, project management, and fundamentals of mechanical and electrical circuit and sensor design. Students work in small teams to execute a substantial term project, with emphasis placed upon developing creative designs — via a deterministic design process — that are developed and optimized using analytical techniques. Includes mandatory lab. Instruction and practice in written and oral communication provided. Students taking graduate version complete additional assignments. Enrollment limited.
A. H. Slocum, E. Roche, N. C. Hanumara, G. Traverso, A. Pennes
Same subject as 6.4860[J] Subject meets with 2.75[J] , 6.4861[J] , HST.552[J] Prereq: 2.008 , 6.2040 , 6.2050 , 6.2060 , 22.071 , or permission of instructor U (Spring) 3-3-6 units
Provides an intense project-based learning experience around the design of medical devices with foci ranging from mechanical to electro mechanical to electronics. Projects motivated by real-world clinical challenges provided by sponsors and clinicians who also help mentor teams. Covers the design process, project management, and fundamentals of mechanical and electrical circuit and sensor design. Students work in small teams to execute a substantial term project, with emphasis placed upon developing creative designs -- via a deterministic design process -- that are developed and optimized using analytical techniques. Includes mandatory lab. Instruction and practice in written and oral communication provided. Students taking graduate version complete additional assignments. Enrollment limited.
A. H. Slocum, E. Roche, N. C. Hanumara, G. Traverso, A. Pennes
Subject meets with 2.753 Prereq: 2.009 , 2.750[J] , or permission of instructor U (Spring) Not offered regularly; consult department 3-0-9 units
Focuses on evolving a product from proof-of-concept to beta prototype: Includes team building, project planning, budgeting, resource planning; models for scaling, tolerancing and reliability, patents, business planning. Students/teams start with a proof-of-concept product they bring to class or select from projects provided by instructor. In lieu of taking 12 units of 2.THU , Course 2 majors taking 2.752 may write a bachelor's thesis that documents their contributions to the product developed in the team project. Students taking the graduate version complete additional assignments. Enrollment limited; preference to Course 2 majors and minors.
Subject meets with 2.752 Prereq: 2.009 , 2.750[J] , or permission of instructor G (Spring) Not offered regularly; consult department 3-0-9 units
Focuses on evolving a product from proof-of-concept to beta prototype: Includes team building, project planning, budgeting, resource planning; models for scaling, tolerancing and reliability, patents, business planning. Students/teams start with a proof-of-concept product they bring to class or select from projects provided by instructor. In lieu of taking 12 units of 2.THU , Course 2 majors taking 2.752 may write a bachelor's thesis that documents their contributions to the product developed in the team project. Students taking the graduate version complete additional assignments. Enrollment limited.
Subject meets with 2.760 Prereq: 2.008 or permission of instructor G (Fall) Not offered regularly; consult department 3-0-9 units
Combines rigorous engineering theory and user-centered product design to create technologies for developing and emerging markets. Covers machine design theory to parametrically analyze technologies; bottom-up/top-down design processes; engagement of stakeholders in the design process; socioeconomic factors that affect adoption of products; and developing/emerging market dynamics and their effect on business and technology. Includes guest lectures from subject matter experts in relevant fields and case studies on successful and failed technologies. Student teams apply course material to term-long projects to create new technologies, developed in collaboration with industrial partners and other stakeholders in developing/emerging markets. Students taking graduate version complete additional assignments.
Subject meets with 2.76 Prereq: 2.008 or permission of instructor U (Fall) Not offered regularly; consult department 3-0-9 units
Same subject as 15.772[J] , EC.733[J] Subject meets with 2.871 Prereq: None U (Spring) Not offered regularly; consult department 3-3-6 units
See description under subject 15.772[J] .
S. C. Graves
Same subject as 20.110[J] Prereq: ( Biology (GIR) , Calculus II (GIR) , Chemistry (GIR) , and Physics I (GIR) ) or permission of instructor U (Fall) 5-0-7 units. REST
See description under subject 20.110[J] .
M. Birnbaum, C. Voigt
Subject meets with 2.778 Prereq: 2.00B , 2.007 , or permission of instructor U (Fall) 3-0-9 units
Examines structured principles and processes to develop concepts for large and complex systems. Term projects introduce students to large-scale system development with several areas of emphasis, including idea generation, concept development and refinement, system-level thinking, briefing development and presentation, and proposal generation. Interactive lectures and presentations guide students throughout the course to develop and deliver team presentations focused on solving large and complex problems. Includes a semester-long project in which students apply design tools/processes to solve a specific problem. Students taking graduate version complete the project individually.
Subject meets with 2.777 Prereq: Permission of instructor G (Fall) 3-0-9 units
Examines structured principles and processes to develop concepts for large and complex systems. Term projects introduce students to large-scale system development with several areas of emphasis, including idea generation, concept development and refinement, system-level thinking, briefing development and presentation, and proposal generation. Interactive lectures and presentations guide students throughout the course to develop and deliver individual and team presentations focused on solving large and complex problems. Includes a semester-long project in which students apply design tools/processes to solve a specific problem. Students taking graduate version complete project individually. Limited enrollment.
Same subject as 6.4530[J] , HST.420[J] Prereq: Permission of instructor U (Fall) Not offered regularly; consult department 2-4-6 units
See description under subject 6.4530[J] . Enrollment may be limited.
R. C. Miller, J. E. Greenberg, J. J. Leonard
Same subject as HST.524[J] Prereq: ( Biology (GIR) , Chemistry (GIR) , and Physics I (GIR) ) or permission of instructor G (Spring) 3-0-9 units
Solution of clinical problems by use of implants and other medical devices. Systematic use of cell-matrix control volumes. The role of stress analysis in the design process. Anatomic fit: shape and size of implants. Selection of biomaterials. Instrumentation for surgical implantation procedures. Preclinical testing for safety and efficacy: risk/benefit ratio assessment. Evaluation of clinical performance: design of clinical trials. Project materials drawn from orthopedic devices, soft tissue implants, artificial organs, and dental implants.
I. V. Yannas, M. Spector
Same subject as HST.523[J] Prereq: ( Biology (GIR) , Chemistry (GIR) , and 2.001 ) or permission of instructor G (Fall) Not offered regularly; consult department 3-0-9 units
Mechanical forces play a decisive role during development of tissues and organs, during remodeling following injury as well as in normal function. A stress field influences cell function primarily through deformation of the extracellular matrix to which cells are attached. Deformed cells express different biosynthetic activity relative to undeformed cells. The unit cell process paradigm combined with topics in connective tissue mechanics form the basis for discussions of several topics from cell biology, physiology, and medicine.
Same subject as HST.535[J] Prereq: ( Biology (GIR) , Chemistry (GIR) , and Physics I (GIR) ) or permission of instructor G (Fall) 3-0-9 units
See description under subject HST.535[J] .
M. Spector, I. V. Yannas
Prereq: None G (Fall) 4-2-6 units
For students interested in research at the interface of mechanical engineering, biology, and materials science. Specific emphasis lies on interfacing living systems with engineered materials and devices, and on engineering living system behavior.
M. Kolle, M. Guo
Same subject as EC.797[J] Subject meets with 2.729[J] , EC.729[J] Prereq: None. Coreq: 2.008 ; or permission of instructor G (Fall) 3-2-7 units
See description under subject EC.797[J] .
Same subject as HST.522[J] Prereq: ( Biology (GIR) , Chemistry (GIR) , and Physics I (GIR) ) or permission of instructor G (Fall) Not offered regularly; consult department 3-0-9 units
Principles of materials science and cell biology underlying the development and implementation of biomaterials for the fabrication of medical devices/implants, including artificial organs and matrices for tissue engineering and regenerative medicine. Employs a conceptual model, the "unit cell process for analysis of the mechanisms underlying wound healing and tissue remodeling following implantation of biomaterials/devices in various organs, including matrix synthesis, degradation, and contraction. Methodology of tissue and organ regeneration. Discusses methods for biomaterials surface characterization and analysis of protein adsorption on biomaterials. Design of implants and prostheses based on control of biomaterials-tissue interactions. Comparative analysis of intact, biodegradable, and bioreplaceable implants by reference to case studies. Criteria for restoration of physiological function for tissues and organs.
Same subject as 6.4810[J] , 9.21[J] , 20.370[J] Subject meets with 2.794[J] , 6.4812[J] , 9.021[J] , 20.470[J] , HST.541[J] Prereq: ( Physics II (GIR) , 18.03 , and ( 2.005 , 6.2000 , 6.3000 , 10.301 , or 20.110[J] )) or permission of instructor U (Spring) 5-2-5 units
See description under subject 6.4810[J] . Preference to juniors and seniors.
J. Han, T. Heldt
Same subject as 6.4820[J] , HST.542[J] Subject meets with 2.796[J] , 6.4822[J] Prereq: Physics II (GIR) , 18.03 , or permission of instructor U (Fall) 4-2-6 units
See description under subject 6.4820[J] .
T. Heldt, R. G. Mark
Same subject as 6.4830[J] , 20.330[J] Prereq: Biology (GIR) , Physics II (GIR) , and 18.03 U (Spring) 4-0-8 units
See description under subject 20.330[J] .
J. Han, S. Manalis
Same subject as 6.4812[J] , 9.021[J] , 20.470[J] , HST.541[J] Subject meets with 2.791[J] , 6.4810[J] , 9.21[J] , 20.370[J] Prereq: ( Physics II (GIR) , 18.03 , and ( 2.005 , 6.2000 , 6.3000 , 10.301 , or 20.110[J] )) or permission of instructor G (Spring) 5-2-5 units
See description under subject 6.4812[J] .
Same subject as 6.4832[J] , 10.539[J] , 20.430[J] Prereq: Permission of instructor G (Fall) 3-0-9 units
See description under subject 20.430[J] .
M. Bathe, A. J. Grodzinsky
Same subject as 6.4822[J] Subject meets with 2.792[J] , 6.4820[J] , HST.542[J] Prereq: 6.4810[J] and ( 2.006 or 6.2300 ) G (Fall) 4-2-6 units
See description under subject 6.4822[J] .
Same subject as 3.053[J] , 6.4840[J] , 20.310[J] Subject meets with 2.798[J] , 3.971[J] , 6.4842[J] , 10.537[J] , 20.410[J] Prereq: Biology (GIR) and 18.03 U (Spring) 4-0-8 units
Develops and applies scaling laws and the methods of continuum mechanics to biomechanical phenomena over a range of length scales. Topics include structure of tissues and the molecular basis for macroscopic properties; chemical and electrical effects on mechanical behavior; cell mechanics, motility and adhesion; biomembranes; biomolecular mechanics and molecular motors. Experimental methods for probing structures at the tissue, cellular, and molecular levels. Students taking graduate version complete additional assignments.
M. Bathe, K. Ribbeck, P. T. So
Same subject as 3.971[J] , 6.4842[J] , 10.537[J] , 20.410[J] Subject meets with 2.797[J] , 3.053[J] , 6.4840[J] , 20.310[J] Prereq: Biology (GIR) and 18.03 G (Spring) 3-0-9 units
Prereq: 5.07[J] , 7.05 , or 18.03 G (Fall) Not offered regularly; consult department 3-3-6 units
Examines a variety of essential cellular functions from the perspective of the cell as a machine. Includes phenomena such as nuclear organization, protein synthesis, cell and membrane mechanics, cell migration, cell cycle control, cell transformation. Lectures are provided by video twice per week; live 3-hour recitation one evening per week. Course is taken simultaneously by students at multiple universities; homework and take-home exams common to all students. Preference to students in Courses 2 and 20.
R. Kamm, M. Sheetz, H. Yu
2.810 manufacturing processes and systems.
Prereq: 2.001 , 2.006 , and 2.008 G (Fall) 3-3-6 units
Introduction to manufacturing processes and manufacturing systems including assembly, machining, injection molding, casting, thermoforming, and more. Emphasis on the physics and randomness and how they influence quality, rate, cost, and flexibility. Attention to the relationship between the process and the system, and the process and part design. Project (in small groups) requires fabrication (and some design) of a product using several different processes (as listed above). Enrollment may be limited due to laboratory constraints; preference given to MechE students and students who need to satisfy degree requirements.
J. Hart, D. Wendell, W. Seering, J. Liu
Prereq: None Acad Year 2024-2025: U (Spring) Acad Year 2025-2026: Not offered 3-3-6 units
Working in teams, students address the problem of reducing MIT's greenhouse gas emissions in a manner consistent with the climate goals of maintaining our planet in a suitable regime to support human society and the environment. Solution scenarios include short-, middle- and long-term strategies. Experts from MIT's faculty and operations staff, as well as outside experts who address the multidisciplinary features of the problem guide solutions. These include climate science, ethics, carbon accounting, cost estimating, MIT's energy supply, energy demand, and infrastructure, new technologies, financial instruments, electricity markets, policy, human behavior, and regulation.Develops skills to address carbon neutrality at other universities, and at other scales, including cities and nations. Students taking graduate version complete additional assignments.
T. Gutowski, J. Newman
Subject meets with 2.83 Prereq: 2.008 or permission of instructor Acad Year 2024-2025: Not offered Acad Year 2025-2026: U (Spring) 3-0-9 units
Introduction to the major dilemma that faces manufacturing and society for the 21st century: how to support economic development while protecting the environment. Subject addresses industrial ecology, materials flows, life-cycle analysis, thermodynamic analysis and exergy accounting, manufacturing process performance, product design analysis, design for the environment, recycling and ecological economics. Combines lectures and group discussions of journal articles and selected literature, often with opposing views. Graduate students complete term-long project with report required for graduate credit.
T. G. Gutowski
Subject meets with 1.834[J] , 2.834[J] Prereq: None U (Fall) 3-0-9 units
Develops environmental accounting tools including energy, carbon, materials, land use, and possibly others, from small scales (e.g., products and processes) to larger scales, (e.g., companies, nations and global) to reveal how reoccurring human behavior patterns have dominated environmental outcomes. Involves visiting experts and readings in areas such as ethics, economics, governance, and development to frame core issues in human relationship to the environment and future societies. Explores how local actions, including engineering interventions and behavior change, play out at larger scales associated with the concept of sustainability, and how local actions may be modified to realize sustainability. Class is participatory and includes an exploratory project. Students taking graduate version complete additional assignments. Limited to 25.
T. Gutowski
Same subject as 3.371[J] Prereq: Permission of instructor G (Fall, Summer) 3-0-9 units Credit cannot also be received for 3.171
See description under subject 3.371[J] .
Subject meets with 2.813 Prereq: 2.008 or permission of instructor Acad Year 2024-2025: Not offered Acad Year 2025-2026: G (Spring) 3-0-9 units
Same subject as 6.6630[J] Prereq: 2.008 , 6.2600[J] , or 6.3700 G (Fall) 3-0-9 units
Statistical modeling and control in manufacturing processes. Use of experimental design and response surface modeling to understand manufacturing process physics. Defect and parametric yield modeling and optimization. Forms of process control, including statistical process control, run by run and adaptive control, and real-time feedback control. Application contexts include semiconductor manufacturing, conventional metal and polymer processing, and emerging micro-nano manufacturing processes.
D. E. Hardt, D. S. Boning
Prereq: None G (Spring) 3-3-6 units
Same subject as 1.834[J] Subject meets with 2.814 Prereq: None G (Fall) 3-0-9 units
Same subject as 15.066[J] Prereq: Calculus II (GIR) G (Summer) 4-0-8 units
See description under subject 15.066[J] . Restricted to Leaders for Global Operations students.
Subject meets with 2.854 Prereq: 2.008 U (Fall) 3-0-9 units
Provides ways to analyze manufacturing systems in terms of material flow and storage, information flow, capacities, and times and durations of events. Fundamental topics include probability, inventory and queuing models, forecasting, optimization, process analysis, and linear and dynamic systems. Factory planning and scheduling topics include flow planning, bottleneck characterization, buffer and batch-size tactics, seasonal planning, and dynamic behavior of production systems. Graduate students are required to complete additional assignments with stronger analytical content.
S. B. Gershwin
Subject meets with 2.853 Prereq: Undergraduate mathematics G (Fall) 3-0-9 units
Provides ways to analyze manufacturing systems in terms of material flow and storage, information flow, capacities, and times and durations of events. Fundamental topics include probability, inventory and queuing models, forecasting, optimization, process analysis, and linear and dynamic systems. Factory planning and scheduling topics include flow planning, bottleneck characterization, buffer and batch-size tactics, seasonal planning, and dynamic behavior of production systems. Graduate students are required to complete additional assignments.
Subject meets with 2.771[J] , 15.772[J] , EC.733[J] Prereq: None G (Spring) Not offered regularly; consult department 3-3-6 units
Introduces concepts of supply chain design and planning with a focus on supply chains for products destined to improve quality of life in developing countries. Topics include demand estimation, process analysis and improvement, facility location and capacity planning, inventory management, and supply chain coordination. Also covers issues specific to emerging markets, such as sustainable supply chains, choice of distribution channels, and how to account for the value-adding role of a supply chain. Students conduct D-Lab-based projects on supply chain design or improvement. Students taking graduate version will complete additional assignments.
Same subject as 10.354[J] Subject meets with 2.884[J] , 10.554[J] Prereq: 18.03 or permission of instructor Acad Year 2024-2025: U (Fall) Acad Year 2025-2026: Not offered 4-0-8 units
See description under subject 10.354[J] .
R. D. Braatz, B. Anthony
Same subject as 10.554[J] Subject meets with 2.874[J] , 10.354[J] Prereq: None Acad Year 2024-2025: G (Fall) Acad Year 2025-2026: Not offered 4-0-8 units
See description under subject 10.554[J] .
Prereq: None G (Spring) 2-0-1 units
Covers a broad range of topics in modern manufacturing, from models and structures for 21st-century operations, to case studies in leadership from the shop floor to the executive office. Also includes global perspectives from Asia, Europe and North America, with guest speakers from all three regions. Explores opportunities for new ventures in manufacturing. Intended primarily for Master of Engineering in Manufacturing students.
D. E. Hardt, S. B. Gershwin
Same subject as 10.792[J] , 15.792[J] , 16.985[J] Prereq: None G (Fall, Spring) 2-0-0 units Can be repeated for credit.
See description under subject 15.792[J] . Preference to LGO students.
2.351[j] introduction to making and hardware ventures.
Same subject as 15.351[J] Prereq: Permission of instructor G (Spring) Not offered regularly; consult department 3-0-3 units
See description under subject 15.351[J] . Enrollment limited; application required.
C. Lowell, M. Kenney, M. Culpepper
Engineering School-Wide Elective Subject. Offered under: 1.082 , 2.900 , 6.9320 , 10.01 , 16.676 Subject meets with 6.9321 , 20.005 Prereq: None U (Fall, Spring) 2-0-4 units
See description under subject 10.01 .
D. A. Lauffenburger, B. L. Trout
Same subject as 10.807[J] , 15.371[J] Prereq: None G (Fall) 4-4-4 units
See description under subject 10.807[J] .
L. Perez-Breva, D. Hart
Same subject as 3.085[J] , 15.373[J] Prereq: None U (Spring) 3-0-9 units
Provides an integrated approach to the development and growth of new innovative ventures. Intended for students who seek to leverage their engineering and science background through innovation-driven entrepreneurship. Emphasizes the concept that innovation-driven entrepreneurs must make a set of interdependent choices under conditions of high uncertainty, and demonstrates that venture engineering involves reducing uncertainty through a structured process of experimental learning and staged commitments. Provides deep understanding of the core technical, customer, and strategic choices and challenges facing start-up innovators, and a synthetic framework for the development and implementation of ventures in dynamic environments.
S. Stern, E. Fitzgerald
Same subject as 10.407[J] Prereq: None G (Spring; second half of term) 2-0-4 units
See description under subject 10.407[J] .
S. Loessberg, D. P. Hart
Engineering School-Wide Elective Subject. Offered under: 2.96 , 6.9360 , 10.806 , 16.653 Prereq: None U (Fall) 3-1-8 units
Introduction and overview of engineering management. Financial principles, management of innovation, technical strategy and best management practices. Case study method of instruction emphasizes participation in class discussion. Focus is on the development of individual skills and management tools. Restricted to juniors and seniors.
H. S. Marcus, J.-H. Chun
Prereq: None G (Fall) 3-1-8 units
Introduction and overview of engineering management. Financial principles, management of innovation, technical strategy and best management practices. Case study method of instruction emphasizes participation in class discussion. Focus is on the development of individual skills and management tools.
J.-H. Chun, H. S. Marcus
Same subject as 1.265[J] , 15.765[J] , SCM.265[J] Prereq: 15.761 , 15.778 , SCM.260[J] , SCM.261[J] , or permission of instructor G (Spring) Not offered regularly; consult department 2-0-4 units
See description under subject SCM.265[J] .
2.98 sports technology: engineering & innovation.
Subject meets with 2.980 Prereq: None G (Spring) 2-2-2 units
Examines the future of sports technology across technical disciplines, including mechanical design, biomechanics, quantified self, sports analytics, and business strategies. Includes visits by leaders in the field to discuss various industries, career pathways, and opportunities for innovation in the field. Projects explore and potentially kickoff larger research and/or entrepreneurial initiatives.
A. Hosoi, C. Chase
Subject meets with 2.98 Prereq: None U (Spring) 2-2-8 units
Prereq: None U (IAP) 2-0-1 units
Provides exposure to marine communities found along the coast of New England and how they fit into global patterns. Focuses on the ecology of salt marshes and rocky shores, and the biology of plants and animals that live in these complex habitats. Prepares students to recognize common inhabitants of these two communities and develops understanding of the major environmental factors affecting them, the types of ecological services they provide, and likely impacts of current and future climate change. Includes visits to field and research centers. Limited to 20.
Consult C. Bastidas
Prereq: None U (Fall) Not offered regularly; consult department 3-2-4 units
Prepares students to recognize coastal ecosystems, their major environmental and biological drivers, and common impacts that human population growth and climate change have on them. Students engage in a semester-long project to address and seek solutions to current challenges in sustainability of human activities on the coast, and to promote resilience of natural communities and ecosystem services.
J. Simpson, C. Bastidas
Same subject as CMS.343[J] Prereq: 8.02 and 18.02 G (Fall) 3-0-9 units
Explores time travel and other physical paradoxes—black holes, wormholes, and the multiverse—in the contexts of human narrative and contemporary scientific understanding. Instruction provided in the fundamental science of time travel in relativity and quantum mechanics. Students read and view classic time travel narratives in visual art and in film, and construct their own original time travel narratives. Limited to 20.
S. Lloyd, M. Reilly
Prereq: Permission of instructor G (Fall, IAP, Spring, Summer) Units arranged Can be repeated for credit.
Provides students the opportunity to learn and gain professional experience by participating in industrial projects related to Mechanical Engineering. Minimum project length is 10 weeks. Requires a written report upon completion. Before enrolling, students must contact MechE Graduate Office for procedures and restrictions; they must also have a firm internship offer and an identified MechE faculty member who will act as supervisor. Limited to Mechanical Engineering graduate students.
N. Hadjiconstantinou
Prereq: None U (Fall, IAP, Spring, Summer) 0-1-0 units Can be repeated for credit.
For Mechanical Engineering undergraduates participating in curriculum-related off-campus experiences in mechanical engineering. Before enrolling, students must have an employment offer from a company or organization and must find a Mech E advisor. Upon completion of the coursework the student must submit a detailed design notebook, approved by the MIT advisor. Subject to departmental approval. Consult Department Undergraduate Office for details on procedures and restrictions.
Consult R. Karnik
Prereq: None G (Fall) 1-2-0 units
Familiarizes students with the requirements for their desired degree and the resources, both at MIT and beyond, to help them reach their educational and professional goals. Series of interactive lectures and seminars guides students through various aspects of life critical to navigating graduate school successfully. Topics include course requirements, PhD qualifying examinations, advisor/advisee relationships, funding and fellowships, mental health and wellbeing, housing options in the Boston area, and career options after graduation. Limited to first-year graduate students.
Prereq: Permission of instructor G (Summer) Units arranged
Provides students a unique opportunity to participate in industry-based projects. Students gain professional industry experience in mechanical engineering projects that complement their academic experiences. Each project has a company advisor, a specific advisor, and a course instructor. Course staff help students connect with specific companies and collaboratively design a project of mutual interest and benefit. Requires a written report and project presentation upon completion of a minimum of 10 weeks of off-campus activities. Limited to Mechanical Engineering graduate students.
Prereq: None U (Fall, IAP, Spring, Summer) Units arranged Can be repeated for credit.
Designed for undergraduates wanting to continue substantial projects of own choice, under faculty supervision, in mechanical engineering. Work may be of experimental, theoretical, or design nature. Projects may be arranged individually in most fields of department interest, i.e., in mechanics, design and manufacturing, controls and robotics, thermal science and energy engineering, bioengineering, ocean engineering and nanotechnology. 2.993 is letter-graded; 2.994 is P/D/F.
Prereq: None U (Fall, IAP, Spring, Summer) Units arranged [P/D/F] Can be repeated for credit.
Assigned reading and problems or research in distinct areas, either theoretical or experimental, or design. Arranged on individual basis with instructor in the following areas: mechanics and materials, thermal and fluid sciences, systems and design, biomedical engineering, and ocean engineering. Can be repeated for credit only for completely different subject matter.
Consult R. Abeyaratne
2.997 advanced topics in mechanical engineering.
Prereq: Permission of instructor G (Fall, IAP, Spring, Summer) Not offered regularly; consult department Units arranged Can be repeated for credit.
2.s007 special subject in mechanical engineering.
Lecture, seminar or laboratory course consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter.
Prereq: None U (Fall) Not offered regularly; consult department Units arranged
B. Aulet, A. Hosoi, M. Jester, S. Johnson, C. Lawson
Prereq: None G (Spring) Units arranged
Lecture, seminar, or laboratory consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter.
Prereq: None U (Spring) Not offered regularly; consult department Units arranged Can be repeated for credit.
2.s790-2.s792 graduate special subject in bioengineering.
Advanced lecture, seminar or laboratory course consisting of material in the broadly-defined field of bioengineering not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter.
Consult R. Kamm
Prereq: None G (Fall) Not offered regularly; consult department 3-3-6 units
Advanced lecture, seminar, or laboratory consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter.
Prereq: None G (Fall) Units arranged [P/D/F]
Prereq: Permission of instructor G (Fall) Units arranged Can be repeated for credit.
Prereq: None G (Fall) Not offered regularly; consult department Units arranged Can be repeated for credit.
Prereq: None G (Spring) Not offered regularly; consult department Units arranged
Prereq: None U (Fall) Not offered regularly; consult department 3-3-6 units
Prereq: None U (Fall) Not offered regularly; consult department 3-0-9 units Can be repeated for credit.
Lecture, seminar or laboratory course consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. 2.S972 - 2.S974 are graded P/D/F.
Prereq: None U (Fall) Not offered regularly; consult department 3-3-6 units Can be repeated for credit.
Prereq: None U (Fall, Spring) Not offered regularly; consult department 3-1-2 units Can be repeated for credit.
Consult K. Zolot
Prereq: None U (Fall) Units arranged [P/D/F] Can be repeated for credit.
Prereq: None U (Fall) Not offered regularly; consult department Units arranged Can be repeated for credit.
Prereq: None U (IAP) Units arranged [P/D/F] Can be repeated for credit.
Lecture, seminar or laboratory course consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. See staff for scheduling information. Limited to 16.
Consult T. Consi
2.s977 special subject in mechanical engineering, 2.s978 undergraduate special subject in mechanical engineering, 2.s979 graduate special subject in mechanical engineering.
Prereq: None G (Fall) Not offered regularly; consult department Units arranged
Prereq: Permission of instructor G (Spring) Not offered regularly; consult department Units arranged [P/D/F] Can be repeated for credit.
Advanced lecture, seminar, or laboratory consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. 2.S980 and 2.S996 are graded P/D/F.
Prereq: Permission of instructor G (Spring) Units arranged Can be repeated for credit.
Advanced lecture, seminar or laboratory consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. 2.S980 and 2.S996 are graded P/D/F.
Consult V. Sudhir
Prereq: Permission of instructor G (IAP) Units arranged Can be repeated for credit.
2.s985 special subject in mechanical engineering, 2.s986 special subject in mechanical engineering, 2.s987 special subject in mechanical engineering.
Prereq: None G (Spring) Not offered regularly; consult department Units arranged Can be repeated for credit.
S. Boriskina
Prereq: None G (Fall) Units arranged Can be repeated for credit.
G. Traverso
Prereq: None U (Fall) Not offered regularly; consult department Units arranged [P/D/F] Can be repeated for credit.
D. Frey, A. Talebinejad
Prereq: None G (Spring) Units arranged Can be repeated for credit.
Lecture, seminar or laboratory course consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. Enrollment limited.
Prereq: None U (Spring) Not offered regularly; consult department Units arranged
Consult Staff
A. Gopinath
Prereq: None Acad Year 2024-2025: U (Spring) Acad Year 2025-2026: Not offered Units arranged Can be repeated for credit.
Lecture, seminar or laboratory course consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. 2.S972 - 2.S974 , 2.S992 are graded P/D/F.
Prereq: None U (Spring) Units arranged Can be repeated for credit.
Lecture, seminar, or laboratory consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. 2.S972 - 2.S974 and 2.S992 are graded P/D/F.
Prereq: None U (Fall) Not offered regularly; consult department 0-6-0 units Can be repeated for credit.
Consult I. Hunter
Prereq: Permission of instructor G (Fall, Spring) Not offered regularly; consult department Units arranged [P/D/F] Can be repeated for credit.
Prereq: Permission of instructor G (Fall) Not offered regularly; consult department 3-0-9 units Can be repeated for credit.
Consult F. Ahmed
Prereq: Permission of instructor G (Fall) Not offered regularly; consult department Units arranged Can be repeated for credit.
Consult R. Abeyaratne, J. Hart
Consult R. Abeyaratne, T. Gutowski
2.978 instruction in teaching engineering.
Subject meets with 1.95[J] , 5.95[J] , 7.59[J] , 8.395[J] , 18.094[J] Prereq: Permission of instructor G (Fall) Units arranged [P/D/F]
Participatory seminar focuses on the knowledge and skills necessary for teaching engineering in higher education. Topics include research on learning; course development; promoting active learning, problemsolving, and critical thinking in students; communicating with a diverse student body; using educational technology to further learning; lecturing; creating effective tests and assignments; and assessment and evaluation. Field-work teaching various subjects in the Mechanical Engineering department will complement classroom discussions.
Prereq: None U (Fall, IAP, Spring) Units arranged [P/D/F] Can be repeated for credit.
For students participating in departmentally approved undergraduate teaching programs. Students assist faculty in the design and execution of the curriculum and actively participate in the instruction and monitoring of the class participants. Students prepare subject materials, lead discussion groups, and review progress. Credit is arranged on a subject-by-subject basis and is reviewed by the department.
A. E. Hosoi
Prereq: Permission of instructor G (Fall, Spring, Summer) Units arranged Can be repeated for credit.
For students who must do additional work to convert an SM thesis to a Mechanical Engineer's (ME) or Naval Engineer's (NE) thesis, or for students who write an ME/NE thesis after having received an SM degree.
R. Abeyaratne, M. S. Triantafyllou
Subject meets with 2.C51 Prereq: 2.086 ; Coreq: 6.C01 U (Spring; second half of term) 1-3-2 units Credit cannot also be received for 1.C01 , 1.C51 , 2.C51 , 3.C01[J] , 3.C51[J] , 7.C01 , 7.C51 , 10.C01[J] , 10.C51[J] , 20.C01[J] , 20.C51[J] , 22.C01 , 22.C51 , SCM.C51
Building on core material in 6.C01 , encourages open-ended exploration of the increasingly topical intersection between artificial intelligence and the physical sciences. Uses energy and information, and their respective optimality conditions, to define supervised and unsupervised learning algorithms as well as ordinary and partial differential equations. Subsequently, physical systems with complex constitutive relationships are drawn from elasticity, biophysics, fluid mechanics, hydrodynamics, acoustics, and electromagnetics to illustrate how machine learning-inspired optimization can approximate solutions to forward and inverse problems in these domains. Students taking graduate version complete additional assignments. Students cannot receive credit without simultaneous completion of 6.C01 .
Same subject as 3.C27[J] , 6.C27[J] Subject meets with 2.C67[J] , 3.C67[J] , 6.C67[J] Prereq: 18.C06[J] and ( 1.00 , 1.000 , 2.086 , 3.019 , or 6.100A ) U (Fall) 3-0-9 units
Explores the contemporary computational understanding of imaging: encoding information about a physical object onto a form of radiation, transferring the radiation through an imaging system, converting it to a digital signal, and computationally decoding and presenting the information to the user. Introduces a unified formulation of computational imaging systems as a three-round "learning spiral": the first two rounds describe the physical and algorithmic parts in two exemplary imaging systems. The third round involves a class project on an imaging system chosen by students. Undergraduate and graduate versions share lectures but have different recitations. Involves optional "clinics" to even out background knowledge of linear algebra, optimization, and computational imaging-related programming best practices for students of diverse disciplinary backgrounds. Students taking graduate version complete additional assignments.
G. Barbastathis, J. LeBeau, R. Ram, S. You
Subject meets with 2.C01 Prereq: 18.0751 or 18.0851 ; Coreq: 6.C51 G (Spring; second half of term) 1-3-2 units Credit cannot also be received for 1.C01 , 1.C51 , 2.C01 , 3.C01[J] , 3.C51[J] , 7.C01 , 7.C51 , 10.C01[J] , 10.C51[J] , 20.C01[J] , 20.C51[J] , 22.C01 , 22.C51 , SCM.C51
Building on core material in 6.C51 , encourages open-ended exploration of the increasingly topical intersection between artificial intelligence and the physical sciences. Uses energy and information, and their respective optimality conditions, to define supervised and unsupervised learning algorithms as well as ordinary and partial differential equations. Subsequently, physical systems with complex constitutive relationships are drawn from elasticity, biophysics, fluid mechanics, hydrodynamics, acoustics, and electromagnetics to illustrate how machine learning-inspired optimization can approximate solutions to forward and inverse problems in these domains. Students taking graduate version complete additional assignments. Students cannot receive credit without simultaneous completion of 6.C51 .
Same subject as 3.C67[J] , 6.C67[J] Subject meets with 2.C27[J] , 3.C27[J] , 6.C27[J] Prereq: 18.C06[J] and ( 1.00 , 1.000 , 2.086 , 3.019 , or 6.100A ) G (Fall) 3-0-9 units
Contemporary understanding of imaging is computational: encoding onto a form of radiation the information about a physical object, transferring the radiation through the imaging system, converting it to a digital signal, and computationally decoding and presenting the information to the user. This class introduces a unified formulation of computational imaging systems as a three-round "learning spiral": the first two rounds, instructors describe the physical and algorithmic parts in two exemplary imaging systems. The third round, students conduct themselves as the class project on an imaging system of their choice. The undergraduate and graduate versions share lectures but have different recitations. Throughout the term, we also conduct optional "clinics" to even out background knowledge of linear algebra, optimization, and computational imaging-related programming best practices for students of diverse disciplinary backgrounds.
Engineering School-Wide Elective Subject. Offered under: 1.EPE , 2.EPE , 3.EPE , 6.EPE , 8.EPE , 10.EPE , 15.EPE , 16.EPE , 20.EPE , 22.EPE Prereq: None U (Fall, Spring) 0-0-1 units Can be repeated for credit.
Provides students with skills to prepare for and excel in the world of industry. Emphasizes practical application of career theory and professional development concepts. Introduces students to relevant and timely resources for career development, provides students with tools to embark on a successful internship search, and offers networking opportunities with employers and MIT alumni. Students work in groups, led by industry mentors, to improve their resumes and cover letters, interviewing skills, networking abilities, project management, and ability to give and receive feedback. Objective is for students to be able to adapt and contribute effectively to their future employment organizations. A total of two units of credit is awarded for completion of the fall and subsequent spring term offerings. Application required; consult UPOP website for more information.
K. Tan-Tiongco, D. Fordell
Engineering School-Wide Elective Subject. Offered under: 1.EPW , 2.EPW , 3.EPW , 6.EPW , 10.EPW , 16.EPW , 20.EPW , 22.EPW Prereq: 2.EPE U (Fall, IAP, Spring) 1-0-0 units
Provides sophomores across all majors with opportunities to develop and practice communication, teamwork, and problem-solving skills to become successful professionals in the workplace, particularly in preparation for their summer industry internship. This immersive, multi-day Team Training Workshop (TTW) is comprised of experiential learning modules focused on expanding skills in areas that employers report being most valuable in the workplace. Modules are led by MIT faculty with the help of MIT alumni and other senior industry professionals. Skills applied through creative simulations, team problem-solving challenges, oral presentations, and networking sessions with prospective employers. Enrollment limited to those in the UPOP program.
Prereq: Permission of advisor G (Fall, IAP, Spring, Summer) Units arranged Can be repeated for credit.
Program of research leading to the writing of an SM, PhD, or ScD thesis; to be arranged by the student and an appropriate MIT faculty member.
Individual self-motivated study, research, or design project under faculty supervision. Departmental program requirement: minimum of 6 units. Instruction and practice in written communication provided.
Individual study, research, or laboratory investigations under faculty supervision, including individual participation in an ongoing research project. See projects listing in Undergraduate Office, 1-110, for guidance.
Consult D. Rowell
Consult N. Fang, K. Kamrin
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Mechanical engineering is the branch of engineering that deals with moving machines and their components. A central principle of mechanical engineering is the control of energy: transferring it from one form to another to suit a specific demand. Car engines, for example, convert chemical energy into kinetic energy.
A direct ink-writing technique that relies on tension in the nozzle can be used to print free-standing metal structures with aspect ratios of up to 750:1.
Dr Wang, Dr Arrieta, and colleagues report a switching tunneling method for the inverse design of bistable composite laminates. Their optimization methodology addresses the bistable composites’ highly nonlinear nature and successfully identifies the variable pre-strain fields to match the target stable shapes.
Ranzani and colleagues use electropermanent magnets to build a valve that simplifies the controls of pneumatic soft robots. Their design enables the selective activation of the robot’s fluidic channels to perform grasping and locomotion tasks.
Bridging the gap between ai and robotics.
Recent advancements in generative AI require multimodal information processing that incorporates images, videos and audio. This shift underscores the importance of integrating AI with robotics to address challenges such as Moravec’s paradox.
Morphing soft matter, which is capable of changing its shape and function in response to stimuli, has wide-ranging applications in robotics, medicine and biology. Recently, computational models have accelerated its development. Here, we highlight advances and challenges in developing computational techniques, and explore the potential applications enabled by such models.
The curse of rarity—the rarity of safety-critical events in high-dimensional variable spaces—presents significant challenges in ensuring the safety of autonomous vehicles using deep learning. Looking at it from distinct perspectives, the authors identify three potential approaches for addressing the issue.
Micro- and nanorobots present a promising approach for navigating within the body and eliminating biofilm infections. Their motion can be remotely controlled by external fields and tracked by clinical imaging. They can mechanically disrupt the biofilm matrix and kill the dormant bacterial cells synergistically, thereby improving the effectiveness of biofilm eradication.
University of California, Berkeley Mechanical Engineering
Pursue your vision in a meche graduate program.
Earning a graduate degree from MechE hones your engineering skills through project-based learning, arming you with the technical acumen, creative spirit, and real-world experience to make a difference in the areas that matter to you most.
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The department of Mechanical Engineering will not require GRE tests for applications for graduate admission for 2025, nor will we use GRE scores as a basis for evaluating candidates for admission in the 2025 application process.
We offer 9 Graduate Degrees
Master of Science in Mechanical Engineering (SMME)
Master of Science in Ocean Engineering (SMOE)
Master of Science in Naval Architecture and Marine Engineering (SMNAME)
Master of Science in Oceanographic Engineering (SMOGE, joint MIT/WHOI degree)
Master of Engineering in Manufacturing
Mechanical Engineer’s (ME) Degree
Naval Engineer’s (NE) Degree
Doctor of Philosophy (PhD) or Doctor of Science (ScD), which differs in name only (this includes the joint MIT/WHOI degrees)
Dual degree with Leaders for Global Operations (LGO) Program in MIT Sloan School of Management (Please go to the following website: https://lgo.mit.edu/ to learn more about applying through LGO.)
Understanding the impact of climate change on the ocean
Reducing inequality across the globe and on campus
Charles Stuard Woodard
Mechanical engineering students from MIT work with clinicians from Boston-area hospitals to design cheaper, safer, and more efficient medical devices.
MIT spinout SiTration looks to disrupt industries with a revolutionary process for recovering and extracting critical materials. MechE PhD student Ahmed Helal serves as vice president of research and development.
Charlotte Folinus & Lyle Regenwetter are among the 10 graduate students named 2024 MAD Design Fellows. The students are working at the intersection of design and multiple disciplines across the Institute.
Alumni spotlight.
CEO, Rivian Automotive
Computational Fluid Dynamics Engineer, Haas Formula 1
Senior Scientist, Woods Hole Oceanographic Institution
Updated: February 29, 2024
Below is a list of best universities in the United States ranked based on their research performance in Mechanical Engineering. A graph of 44.9M citations received by 1.6M academic papers made by 964 universities in the United States was used to calculate publications' ratings, which then were adjusted for release dates and added to final scores.
We don't distinguish between undergraduate and graduate programs nor do we adjust for current majors offered. You can find information about granted degrees on a university page but always double-check with the university website.
For Mechanical Engineering
The best cities to study Mechanical Engineering in the United States based on the number of universities and their ranks are Cambridge , Stanford , Berkeley , and Ann Arbor .
The innovation university.
New students.
The Department of Mechanical Engineering has a thriving research community of globally-recognized experts in mechanical engineering, mechatronics, biomechanics, neuromechanics, and nanotechnology.
Our faculty, along with post-doctoral associates and graduate and undergraduate students, continuously strive to push the boundaries of mechanical engineering by conducting cutting-edge research in the following six main areas:
The interdisciplinary nature and expanding applications for nanotechnology, micro-electrical-mechanical systems, and quantum technology demonstrate the vast potential and impact of the field. Our research group explores various aspects, including nano/microfabrication, fabrication and characterization of advanced nanomaterials, nanomaterial-based sensors, polymer nanocomposites, nanoelectronics, nanophotonics, quantum technology, multiscale robotics, and nano- and microfluidics.
Through applied robotics research and fundamental studies of dynamical systems and control, our faculty and students contribute to the improvement of robotics technology. Our investigations cover all aspects of robotics and autonomous systems, including sophisticated intelligence systems, novel robotic platforms and controls, to component technologies for robotic systems.
The biomechanics and materials research cluster uses theoretical, computational, experimental, and simulation-based approaches to study, characterize, and leverage the behavior of a wide range of high performance materials, including biomaterials, metals, plastics/polymers, and composites. In addition, our researchers study the development of novel medical devices and systems for various health-related applications.
Research in Aerospace engineering focuses on the development of technologies for aviation, defense systems, and spacecraft. Our department emphasizes areas such as aerodynamic fluid flow, hypersonic reactive flow, guidance, navigation and control, propulsion systems, and computational fluid dynamics.
Promoting economic and environmental sustainability is crucial for the future of society. Our department undertakes research in energy systems and sustainability by developing solutions that align with these goals. Through interdisciplinary collaborative research, education, and outreach programs, our faculty members engage in exploring research on advanced and sustainable energy systems combined with fundamental and applied research in fluid mechanics, heat transfer, and thermodynamics.
The design and manufacturing cluster focuses on realizing cost-effective and high performance products and systems through cross-disciplinary research spanning multiple design and manufacturing areas including applications of AI and machine learning in product design and manufacturing, advanced materials and manufacturing process sciences, and intelligent systems integration technologies.
Stevens Institute for Artificial Intelligence is composed of more than 50 faculty members from all academic units at Stevens (engineering, business, systems and arts & music) researching a variety of applications in AI and machine learning.
Stevens Institute for Artificial Intelligence
The Center for Neuromechanics is an interdisciplinary, collaborative group of researchers and educators that investigate the function, structure and health of the human brain and utilize mechanical engineering applications such as imaging, instrumentation, computation and rehabilitation to improve the quality of life for people with neurological disorders.
The Center for Neuromechanics
Learn more about research in the Department of Mechanical Engineering. Visit our YouTube channel playlist.
Imagine What's Possible. Accelerate Discovery. Make Impactful and Lasting Change.
Modeling, simulation, experimental characterization and synthesis to advance the state-of-the-art in materials design and discovery for engineering applications. Research ranges across length scales from nano to macroscopic and material classes that include metals, semiconductors, and polymers as well as biomaterials and biological tissues. Strong ties to Cornell High Energy Synchrotron Source ( CHESS ), the Cornell Center for Materials Research ( CCMR ) and Cornell NanoScale Science & Technology Facility ( CNF ).
Mechanics of bone, joint, tissue, tendons, cardiovascular, and microbiome. A strong collaborative relationship with Hospital of Special Surgery ( HSS ).
Technology research translated to biomedical applications, such as early cancer detection, immunology treatments, and global and mobile health.
Modeling and simulation of fuels (combustion), turbulence , and air pollution and emissions; wind energy , thermal energy, geoengineering, and energy/sustainable systems engineering. Strong ties to Cornell’s Energy Systems Institute and Atkinson Center for a Sustainable Future .
Variety of research in autonomy (e.g. perception, planning), form (e.g. soft robotics, walking robots), and interaction (e.g. with humans). Interdisciplinary collaborations across departments and Colleges at Cornell.
Technology to enable space missions, from Earth-observing, to deep space, to exoplanet exploration; directions include novel spacecraft designs, mission design and operations, autonomy, and propulsion.
A new manufacturing technique has introduced a new level of precision to porous ceramic materials, opening a new realm of possibilities. Assistant Professor Sadaf Sobhani uses computational modeling, porous structure design and 3D printing to precisely customize the porous network.
Professor Max Zhang has been awarded a 2 ½-year, approximately $200,000 grant from the New York State Energy Research and Development Authority (NYSERDA) for work aimed at determining efficient solar farm array configurations to avoid land-use conflicts or spoiling precious agricultural space.
Researchers in the Sibley School and horticulture developed earthworm-shaped robots that can burrow into the soil with minimal disturbance to better understand roots which could help breed new drought-resistant crops.
Silvia Ferrari , John Brancaccio Professor of Mechanical and Aerospace Engineering, is equipping autonomous robots with intelligence to go where man or woman may not be able to go—dangerous environments, complex situations underwater or in the air. These robots can be quick with decision making and physical speed. And they can collaborate with each other.
A real-time, rapid, and accurate mobile device-based method was developed by researchers to identify pathogens with only a drop of blood which would decrease reliance on current practices.
Mechanical and Industrial Engineering Doctor of Philosophy (Ph.D.) Degree
Request Info about graduate study Visit Apply
In the mechanical and industrial engineering doctorate you’ll graduate with a depth of knowledge in mechanical or industrial engineering while engaging in cutting-edge, cross-disciplinary research.
The mechanical and industrial engineering doctorate program produces graduates with a depth of knowledge in mechanical or industrial engineering while allowing students to engage in cutting-edge, cross-disciplinary research. The flexible curriculum encourages students to gain domain-specific knowledge from courses offered throughout the college’s portfolio of engineering programs. The curriculum, coupled with the depth of knowledge in mechanical or industrial engineering disciplines, creates graduates who are ready to tackle the world’s most pressing societal and industrial challenges. The program develops world-class researchers who can capitalize on the most promising discoveries and innovations to develop interdisciplinary solutions for real-world challenges.
The mechanical and industrial Ph.D. requires students to address fundamental technical problems of national and global importance for the 21st century. The program finds its roots in tackling global problems in energy, transportation, health care, communications, and manufacturing. The mechanical and industrial engineering departments offer a broad range of technological research strengths including additive and advanced manufacturing, nanotechnology, robotics and mechatronics, heat transfer and thermo-fluids, simulation, modeling and optimization, ergonomics, biomimetic systems, wearable sensors, health care data analytics, prognostics and fault detection, and energy systems. Students collaborate with faculty advisors to build on these technological strengths to solve problems of global significance in order to prepare them, and for careers in both industry and academia.
Visit the research profiles on the industrial and systems engineering department and mechanical engineering department websites for an overview of research opportunities and to learn about our faculty members as well as research advisors in the program. For assistance in identifying faculty working in your intended area of research, please contact the program director.
The AWARE-AI National Science Foundation Research Traineeship Program provides a unique opportunity to RIT's graduate students, who are poised to become future research leaders in developing responsible, human-aware AI technologies.
Students in the mechanical and industrial engineering doctorate program are eligible to apply for traineeships in the AWARE-AI NSF Research Traineeship (NRT) Program. Trainees experience convergent AI research guided by accomplished RIT faculty who work in cross-disciplinary research tracks. In addition to high-touch mentoring, students also engage in curated, career-advancement activities. Learn more about the benefits of the trainee program, including training opportunities, application requirements, and deadlines.
Research assistantships are available to doctoral students. Learn more about the college's research assistantship opportunities and how you can apply.
Ruben Proano
Xudong Zheng
Cooling High Performance Computing Processors in Data Centers with Boiling Chamber
Maharshi Y. Shukla and Dr. Satish G. Kandlikar
With a rising need for high-performance computing in data centers, enhanced heat dissipation from the microprocessors becomes critical for maintaining their surface temperature in a compact setting....
Self-supervised 6-DoF Robot Grasping by Demonstration via Augmented Reality Teleoperation System
Xueting Wang
Under the supervision of Dr. Yunbo Zhang, the novel robot control and interaction system based on machine learning architecture has been developed by Xueting Wang, student in Mechanical and Industrial...
Evaluation of Machining Workforce Development Programs to Investigate Possibilities for Training Procedure Enhancement
Krzysztof K. Jarosz, Ph.D. Student
Widespread adoption of Industry 4.0 standards and technologies in the machining industry has resulted in machining processes becoming increasingly machine-centered, automated, and “smart”. However,...
Advancing Liquid Metal Jetting Additive Manufacturing Through Multi-physics Simulation
Kareem Tawil
Automotive, aerospace, biomedical, and numerous other industries are utilizing metal 3D printing to produce complex, high strength, parts. Of all the metal AM technologies, laser powder-bed fusion ...
Biomimetic Aerosol Exposure System for in vitro Human Airway Exposure Studies
Ph.D. Student: S. Emma Sarles; Advisor: Dr. Edward Hensel
Tobacco use remains the number one cause of preventable death in the United States, disproportionately affecting residents of rural areas, people who are financially disadvantaged, and adults who...
Scalable Operations Research for Transplant Exchange
Katie McConky
Dr. Katie McConky and her collaborators at SUNY Buffalo are investigating how deep learning and hybrid learning approaches can be used to improve the process of matching kidney donors to recipients in...
October 2, 2023
Kate Gleason College of Engineering appoints two new department heads
Brian Landi and Katie McConky have been named department heads of the chemical engineering and industrial and systems engineering programs in the college. Both bring extensive teaching, research, and company experience to the academic leadership positions in the engineering college.
June 26, 2023
Mechanical and industrial engineering Ph.D. student leads and enhances graduate student communities
Samantha Sorondo, a fifth-year student in the mechanical and industrial engineering Ph.D. program from San Juan, Puerto Rico, has taken on leadership roles in the graduate student community in addition to her research on metal 3D printing.
June 13, 2023
L3Harris Delivers Advanced Manufacturing Equipment to RIT
Next-generation manufacturing tools provide engineering students hands-on experience with the equipment used in real-life production processes.
Current Students: See Curriculum Requirements
Course | Sem. Cr. Hrs. | |
---|---|---|
ENGR-701 | 3 | |
ENGR-702 | 3 | |
MIEP-795 | 2 | |
MIEP-892 | 3 | |
6 | ||
6 | ||
MIEP-795 | 1 | |
MIEP-892 | 6 | |
3 | ||
12 | ||
MIEP-890 | 21 | |
* Doctoral Seminar (MIEP-795) is taken three times, twice in the first year and once in the second year.
† Discipline Concentration: Any graduate level course offered by the departments of mechanical or industrial and systems engineering, exclusive of capstones.
‡ Focus Area Elective: Any graduate level course offered by the Kate Gleason College of Engineering, exclusive of capstones.
Course | |
---|---|
MECE-707/ENGR-707 | |
MECE-709/ENGR-709 | |
ISEE-601 | |
ISEE-760 | |
ISEE-771 |
This program is available on-campus only.
Offered | Admit Term(s) | Application Deadline | STEM Designated |
---|---|---|---|
Full‑time | Fall | January 15 priority deadline, rolling thereafter | Yes |
Full-time study is 9+ semester credit hours. International students requiring a visa to study at the RIT Rochester campus must study full‑time.
To be considered for admission to the Mechanical and Industrial Engineering Ph.D. program, candidates must fulfill the following requirements:
International applicants whose native language is not English must submit one of the following official English language test scores. Some international applicants may be considered for an English test requirement waiver .
TOEFL | IELTS | PTE Academic |
---|---|---|
94 | 7.0 | 66 |
International students below the minimum requirement may be considered for conditional admission. Each program requires balanced sub-scores when determining an applicant’s need for additional English language courses.
How to Apply Start or Manage Your Application
An RIT graduate degree is an investment with lifelong returns. Ph.D. students typically receive full tuition and an RIT Graduate Assistantship that will consist of a research assistantship (stipend) or a teaching assistantship (salary).
Access resources for students including student manual and research resources.
Research Resources
Advanced science. Applied technology.
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Our staff develops mechanical solutions for multiple industries. From power utilities to the oil and gas industry, we are proud to improve efficiency and productivity through expertise in engineering dynamics, structures, materials, and fluids systems. Our mission is to improve the safety, reliability, efficiency, and life of new or existing mechanical components and systems for the benefit of our clients.
We help manufacturers and the defense sector test and evaluate armor, structures, and vehicles for vulnerabilities. We investigate the nonlinear response of materials and structures with a special emphasis on responses to large deformations at high strain rates, often to failure. Our integrated approach to problem solving effectively combines experimental, analytical, and computational techniques to meet client needs. Research activities include fundamental investigations, applied studies and analyses, and developmental studies.
Our staff solves fluid systems problems in the areas of flow measurement, fluid machinery design, plant engineering services, multiphase flow assurance and rotating machinery.
We provide engineering solutions to fluid and structural dynamics problems with root cause failure analysis, designs and tests, rapid-response field services, and auditing services for manufacturers and users of rotating machinery.
We apply advanced materials and analysis technologies to solve problems and develop new and better materials to enhance the performance of products. Our staff evaluates and predicts the life, performance, and risk of failure for structures, mechanical components, and engineered systems.
Our full range of design, testing, and fabrication services for structural components and mechanical systems serve a variety of commercial and government clients in the marine, offshore, highway, and rail-based transportation systems, electronics, telecommunications, space, and aerospace industries.
Welcome to Prospective and Accepted MANE Students
Latest news.
Employment opportunities in the Mechanical, Aerospace, and Nuclear Engineering department
MANE Inaugural Technology Showcase
Student Services
Aug 21, 2024 —.
2023 ABOVE & BEYOND AWARDS
Congratulations to these members of the IBB community, who were recognized for their dedication and excellence in 2023!
Levi Wood - Associate Professor, George W. Woodruff School of Mechanical Engineering
Levi is a collaborative and supportive PI and provides amazing mentorship to his trainees. He goes above and beyond for everyone he interacts with. His research focuses on applying systems analysis approaches and engineering tools to identify novel clinical therapeutic targets for inflammatory diseases.
Hang Lu - Associate Dean for Research and Innovation, College of Engineering
Hang provides tremendous leadership for the Bio-E program and through her guidance, the number of Bio-E students has grown. She knows the importance of community building for both the students and advisors and oversees several events each year to accomplish that sense of community.
OZ-Link Technologies & Team - Kasie Collins, CEO (Postdoc), Jasmine Hwang, CSO (Postdoc), Steve Seo, COO (GT Affiliate), Wenting Shi, Lead Scientist (Ph.D. Candidate), Prof. M.G. Finn, Scientific Advisor
This team’s groundbreaking research has consistently translated scientific discoveries into practical, real-world solutions. The group's work in developing innovative diagnostics and therapeutics has had a profound impact on our field, demonstrating exceptional ability to bridge the gap between research and tangible, game-changing solutions. They have participated in Create-X and Nucleate and fostered collaboration from other academic institutions and stakeholders to maximize their technology and real-world impact for patients.
Athena Chien, Ph.D. - Biomedical Engineering, Craig Forest, Advisor
Athena provides outstanding contributions as the leader in the BBUGS Outreach and Education Committee. She spends a significant amount of her free time visiting schools, organizing science and engineering demonstrations, and actively engaging with students to spark their interest in these fields. Her passion for science outreach comes through in every exchange with her! Athena does all of this while remaining an exemplary student in her academic pursuits. Her dedication to both research and community engagement demonstrates a well-rounded commitment to advancing her field of research while actively contributing to the broader community.
Daniel Shah, Ph.D. - Biomedical Engineering, Edward Botchwey, Advisor
Daniel is a CTENG trainee and has served as a mentor for CMaT and as a Petit mentor, passing down his scientific skills to underprivileged students in the Atlanta area. He also supports graduate recruitment efforts year-after-year, engaging with his cohort, and incoming cohorts bringing a sense of ease into every conversation while including others to make the community more inviting.
Lisa Redding - Academic Program Manager, Bioinformatics and Quantitative Biosciences
Lisa is foundational to the operation of the QBioS and Bioinformatics Ph.D. programs. She provides prompt and personalized support to dozens of students and excellent co-ordination and management for the Bioinformatics Program. She values and prioritizes every student's needs, and her unfailing optimism is inspiring.
Leonard Law - Building Coordinator
Leonard makes a great first impression on all visitors thanks to his smile and positive attitude. He brings joy to IBB in all that he does, from welcoming visitors, rearranging our atrium for events, and answering and unending stream of questions from new students, faculty and guests. He embodies Bob Nerem's Rule of Life #10 - "People will remember not what you said, but only how you made them feel." He exhibits a contagious earnestness and warmth. Leonard is a true gem to have as part of our community.
IBB's 2023 Holiday Party
Savannah Williamson
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Design and Development of an AI-enabled Dust Suppression System for Opencast Mines. Project Number : GAP243612. Project Type : Plan Project. Project Date : 29/03/2024 to 28/03/2026. Name of PI :
The Central Mechanical Engineering Research Institute (also known as CSIR-CMERI Durgapur or CMERI Durgapur) is a public engineering research and development institution in Durgapur, West Bengal, India. It is a constituent laboratory of the Indian Council of Scientific and Industrial Research (CSIR). [ 4] This institute is the only national ...
Investigate the Areas of Research The MIT Department of Mechanical Engineering researches and teaches at the interfaces of ideas, where several disciplines such as physics, math, electronics, and computer science, and engineering intersect in the nimble hands of broadly trained MIT mechanical engineers.
Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN) - is a respected both in Russia and abroad institution, that solves fundamental reserch problems in the field of machine science and engineering sciences in Russia.Discoveries made and solutions found in its walls, are being laid as cornerstones for the basic trends of domestic mechanical engineering.
Johns Hopkins Mechanical Engineering faculty and graduate students collaborate with major research organizations, private companies, and government agencies on groundbreaking research to tackle the world's grand challenges.
General Information, Address, Contact and Other Details CSIR-Central Mechanical Engineering Research Institute Mahatma Gandhi Avenue, Durgapur - 713209, West Bengal, INDIA
Mechanical engineering is concerned with the responsible development of products, processes, and power, at scales ranging from molecules to large and complex systems. Mechanical engineering principles and skills are involved at some stage during the conception, design, development, and manufacture of every human-made object with moving parts.
BSAC - Cooperative research center funded by the National Science Foundation and a consortium of corporations and government agencies. Develops sensors and miniature moving mechanical elements (MEMS) using advanced integrated circuit technology. BNNI - The Berkeley Nanosciences and Nanoengineering Institute (BNNI) is the umbrella ...
Mechanical engineering articles from across Nature Portfolio Mechanical engineering is the branch of engineering that deals with moving machines and their components. A central principle of ...
Explore the diverse and innovative research areas and major fields of mechanical engineering at UC Berkeley, from robotics to energy systems.
Here are the Best Mechanical Engineering Programs. Massachusetts Institute of Technology. Stanford University. California Institute of Technology. University of California, Berkeley. Georgia ...
MIT's Department of Mechanical Engineering (MechE) offers a world-class education that combines thorough analysis with hands-on discovery. One of the original six courses offered when MIT was founded, MechE faculty and students conduct research that pushes boundaries and provides creative solutions for the world's problems.
Below is the list of 100 best universities for Mechanical Engineering in the United States ranked based on their research performance: a graph of 44.9M citations received by 1.6M academic papers made by these universities was used to calculate ratings and create the top.
Discover a thriving research community of globally-recognized experts in mechanical engineering, mechatronics, biomechanics, neuromechanics, and nanotechnology.
Mechanical Science and Engineering Research areas include Mechanics and Materials, Thermal and Fluids Engineering, Design and Manufacturing, and Dynamics and Controls.
APPLY. Rensselaer Polytechnic Institute's nationally recognized graduate program in Mechanical Engineering (ME), is known for both the ingenuity of our researchers and the quality of our students. Mechanical Engineering is home to over 150 graduate students from more than 9 countries on 3 continents who pursue M.S., M. Eng., or Ph. D. degrees.
Design and Manufacturing Research Areas: Research areas: Design methodology in general and mechanical engineering design techniques in particular; Tribology, Metrology; Rapid prototyping; Flexible manufacturing; Micro/nano-scale manufacturing (subtractive and additive techniques); Process modeling; Material design for manufacturing; Sustainable manufacturing; Fiber-composite processing; Fuel ...
Modeling, simulation, experimental characterization and synthesis to advance the state-of-the-art in materials design and discovery for engineering applications. Research ranges across length scales from nano to macroscopic and material classes that include metals, semiconductors, and polymers as well as biomaterials and biological tissues.
The mechanical and industrial engineering departments offer a broad range of technological research strengths including additive and advanced manufacturing, nanotechnology, robotics and mechatronics, heat transfer and thermo-fluids, simulation, modeling and optimization, ergonomics, biomimetic systems, wearable sensors, health care data ...
Yekaterinburg[ a ] is a city and the administrative centre of Sverdlovsk Oblast and the Ural Federal District, Russia. The city is located on the Iset River between the Volga-Ural region and Siberia, with a population of roughly 1.5 million residents, [ 14 ] up to 2.2 million residents in the urban agglomeration.
Ural State Technical University (USTU) is a public technical university in Yekaterinburg, Sverdlovsk Oblast, Russian Federation. It is the biggest technical institution of higher education in Russia, with close ties to local industry in the Urals. Its motto, Ingenium Creatio Labor, means "brilliance, creation, work".
Our staff develops mechanical solutions for multiple industries. From power utilities to the oil and gas industry, we are proud to improve efficiency and productivity through expertise in engineering dynamics, structures, materials, and fluids systems. Our mission is to improve the safety, reliability, efficiency, and life of new or existing mechanical components and systems for the benefit of ...
Job Openings Employment opportunities in the Mechanical, Aerospace, and Nuclear Engineering department
Athena does all of this while remaining an exemplary student in her academic pursuits. Her dedication to both research and community engagement demonstrates a well-rounded commitment to advancing her field of research while actively contributing to the broader community. Daniel Shah, Ph.D. - Biomedical Engineering, Edward Botchwey, Advisor