Introduction to statistical inference with probabilistic graphical models. Additional information about the program is available at the 6-A Office, Room 38-409E, 617-253-4644. Specific focus varies from year to year. Emphasizes methodology and the underlying mathematical structures. Engineering School-Wide Elective Subject. Discusses technologies such as oil and gas, nuclear, solar, and energy efficiency. A lot of other technology majors you’ll see are really just specializations within one of these three programs. Also addresses applications of identification trees, neural nets, genetic algorithms, support-vector machines, boosting, and other learning paradigms. Acad Year 2021-2022: G (Spring)3-0-9 units. Covers the process of drafting and filing patent applications, enforcement of patents in the courts, the differences between US and international IP laws and enforcement mechanisms, and the inventor's ability to monetize and protect his/her innovations. Probabilistic models, conditional probability. Students taking independent inquiry version 6.1311 expand the scope of their laboratory project. Same subject as 15.081[J]Prereq: 18.06 G (Fall)4-0-8 units. To remain in the program and to receive the Master of Engineering degree, students will be expected to maintain strong academic records. Prereq: Permission of instructor U (Summer)Units arranged [P/D/F]Can be repeated for credit. Intensive introduction to the process of generating a symbolic description of the environment from an image. Variational methods. Supports a four-week summer residence program at MIT to introduce women high school students to the fields of Electrical Engineering and Computer Science (EECS). The Department of Electrical Engineering and Computer Science permits qualified MIT undergraduate students to apply for one of three Master of Engineering (MEng) programs. Not offered regularly; consult department4-0-8 units. Enrollment limited to 25; priority to first-year students. Value and policy iteration. Acad Year 2021-2022: G (Spring)3-1-8 units. Enrollment may be limited. Prereq: 6.045[J], 18.4041[J], and 18.435[J] G (Fall) Use of electric machines in drive systems. Performance evaluation of multicores; compilation and runtime systems for parallel computing. Discussions include examples from biology and applications to legged locomotion, compliant manipulation, underwater robots, and flying machines. Same subject as 5.00[J], 10.579[J], 22.813[J]Prereq: None G (Fall; first half of term) REST. Image enhancement. Subject meets with 6.589[J], 20.405[J]Prereq: None U (Fall)3-0-9 units, Same subject as 20.405[J] Prereq: Permission of instructor U (IAP)Units arranged [P/D/F]Can be repeated for credit. Enrollment limited; preference to Course 20 majors and minors. Uses the band theory of solids to calculate the absorption and gain of semiconductor media; and uses rate equation formalism to develop the concepts of laser threshold, population inversion, and modulation response. Advanced topics may include network flow; computational geometry; number-theoretic algorithms; polynomial and matrix calculations; caching; and parallel computing. Covers Bayesian modeling and inference at an advanced graduate level. The Joint Program with the Woods Hole Oceanographic Institution (WHOI) is intended for students whose primary career objective is oceanography or oceanographic engineering. Same subject as 3.43[J]Prereq: 3.42 or 6.012 G (Fall)4-0-8 units. Subject meets with 6.602Prereq: 2.71, 6.013, or 8.07 G (Fall)3-0-9 units, Prereq: Physics II (GIR) and 6.003 G (Fall)4-0-8 units. Master of Engineering in Electrical Engineering and Computer Science (Course 6-P), Master of Engineering Thesis Program with Industry (Course 6-A), Master of Engineering in Computer Science and Molecular Biology (Course 6-7P), Master of Engineering in Computation and Cognition (Course 6-9P), Master of Science in Electrical Engineering and Computer Science, Electrical Engineer or Engineer in Computer Science, Doctor of Philosophy or Doctor of Science. Applications and examples drawn from diverse domains. Topics include sorting; search trees, heaps, and hashing; divide-and-conquer; dynamic programming; greedy algorithms; amortized analysis; graph algorithms; and shortest paths. Prereq: 6.004 and 6.031 U (Spring)4-4-4 units. Prereq: Permission of instructor U (Fall) Students develop skills to program and use computational techniques to solve problems. Intensive introduction to the law, focusing on intellectual property, patents, copyrights, trademarks, and trade secrets. Teams complete a multidisciplinary final research project using TensorFlow or other framework. Same subject as 2.794[J], 9.021[J], 20.470[J], HST.541[J] See description under subject HST.482[J]. Students supported by full-time research or teaching assistantships may register for no more than two regular classes totaling at most 27 units. Not offered regularly; consult departmentUnits arranged [P/D/F]Can be repeated for credit. Not offered regularly; consult department2-2-2 units. The program was established in the year 1987 and preparing hundreds of graduate and undergraduate students for bright career in the field of technology and research. Digital images as two-dimensional signals. Students are members of and lead teams, participate in guided reflections on individual and team successes, and discover opportunities for improvement in controlled settings. Bayesian estimation and hypothesis testing. Prereq: 6.046[J] or permission of instructor Acad Year 2020-2021: Not offered Linkages made from one-dimensional rods connected by hinges: constructing polynomial curves, characterizing rigidity, characterizing unfoldable versus locked, protein folding. Course provides background for research work related to micro/nano fabrication. The student selects 42 units from a list of subjects approved by the Graduate Office; these subjects, considered along with the two advanced undergraduate subjects from the bachelor’s program, must include at least 36 units in an area of concentration. Acad Year 2021-2022: U (Spring)3-1-8 units. Weekly laboratory experiments explore these areas in depth. Introduction to probability theory. Subject meets with 6.819Prereq: 18.06 and (6.041B or 6.042[J]) G (Spring)3-0-9 units. Provides instruction in written and oral communication. Designed for students who are interested in entrepreneurship and want to explore the potential commercialization of their research project. Extension to moving materials. Covers topics complementary to 6.866. Students apply concepts introduced in lectures and online assignments to design labs that include discussion-based checkoffs. A total of 12 units of credit is awarded for completion of the Fall and subsequent Spring term offerings. Explores the ethical principles by which an engineer ought to be guided. This subject is complemented by a mathematics subject, and followed by a choice of three foundation courses from a set of subjects that provide the basis for subsequent specialization. Labs in a modern Hardware Design Language (HDL) illustrate various aspects of microprocessor design, culminating in a term project in which students present a multicore design running on an FPGA board. An undergraduate wishing to pursue this degree should initially register for one of the department’s three bachelor’s programs. Prereq: 6.031, 6.08, 6.111, 6.115, or permission of instructor U (Fall)3-3-6 units. Prereq: 6.994 G (Fall, IAP, Spring, Summer)0-0-1 unitsCan be repeated for credit. LO3: Graduates will demonstrate an ability to design solutions for complex engineering problems, conduct experiments, analyze, interpret, and evaluate data. Recommended prerequisites: 6.006 and 18.06. Students create, give and revise a number of presentations of varying length targeting a range of different audiences. Introduces the Capabilities of Effective Engineering Leaders, and models and theories related to the capabilities. Working in teams, students employ design thinking techniques and leadership skills to collaboratively conceive, implement, and iteratively refine through user feedback robust applications using a simple web-based platform. Prereq: None G (Fall, Spring, Summer)Units arranged [P/D/F]Can be repeated for credit. Same subject as 15.084[J]Prereq: 18.06 and (18.100A, 18.100B, or 18.100Q) G (Spring)4-0-8 units. Students design, build, and keep a small electronics project to put their new knowledge into practice. Topics include learning of distributions, hypothesis testing (including multiple comparison procedures), linear and nonlinear regression and prediction, classification, time series, uncertainty quantification, model validation, causal inference, optimization, and decisions. Subject meets with 2.372[J], 6.777[J]Prereq: (Physics II (GIR) and (2.003[J] or 6.003)) or permission of instructor U (Spring) In person not required. MIT does not offer any open-enrollment summer program where any high school student can come to campus to take courses and live in the dorms. Uses these methods and models in applications such as syntactic parsing, information extraction, statistical machine translation, dialogue systems, and summarization. Enrollment may be limited. Introduction to embedded systems in the context of connected devices, wearables, and the "Internet of Things" (IoT). Discrete Fourier transform, DFT computation, and FFT algorithms. Recovering shape, lightness, orientation, and motion. Teams should have members with varying engineering, programming and mechanical backgrounds. Introduction to linear optimization and its extensions emphasizing both methodology and the underlying mathematical structures and geometrical ideas. Emphasizes physical understanding of device operation through energy band diagrams and short-channel MOSFET device design and modern device scaling. The general requirements for an engineer's degree are given under the section on Graduate Education. Emphasis on Haskell and Ocaml, but no prior experience in these languages is assumed. Provides an introduction to using computation to understand real-world phenomena. Opportunity to become involved in graduate research, under guidance of a staff member, on a problem of mutual interest to student and supervisor.

Interactive visualization provides a means of making sense of a world awash in data. Empowers future innovators in engineering and technology with a foundation of leadership and teamwork skills. Extensive use of Verilog for describing and implementing digital logic designs. Studies key concepts, systems, and algorithms to reliably communicate data in settings ranging from the cellular phone network and the Internet to deep space. The MEng degree is normally completed by students taking a full load of regular subjects in two graduate terms. Band structure and transport properties of selected semiconductors. See description under subject 2.75[J]. Microcontrollers provide adaptation, flexibility, and real-time control. Same subject as MAS.453[J]Prereq: 6.033 or permission of instructor U (Spring)3-0-9 units. Same subject as 18.4041[J] Learn-by-design introduction to modeling and control of discrete- and continuous-time systems, from classical analytical techniques to modern computational strategies. Projects require prior approval. Introduction to design, analysis, and fundamental limits of wireless transmission systems. Laboratory exercises (shared with 6.131 and 6.1311) include the construction of drive circuitry for an electric go-cart, flash strobes, computer power supplies, three-phase inverters for AC motors, and resonant drives for lamp ballasts and induction heating. See description under subject 10.01. Current MIT graduate students may pursue a CSE SM in conjunction with a department-based master's or PhD program. Estimation and minimization of energy consumption. Includes labs involving modeling and analysis of hardware architectures, building systems using popular deep learning tools and platforms (CPU, GPU, FPGA), and an open-ended design project. Studies the structure and interpretation of computer programs which transcend specific programming languages. Final third focuses on biophysics of synaptic transmission and introduction to neural computing. Emphasis on the understanding of how and why the methods work from the point of view of modeling, and when they are applicable. Acad Year 2021-2022: G (Spring)3-0-9 units, Same subject as 18.425[J]Prereq: 6.046[J] G (Fall)3-0-9 units. Topics include waveform analysis and spectral analysis of speech; synthesis of speech; perception and discrimination of speech-like sounds; speech prosody; models of speech recognition; speech development; analysis of atypical speech; and others. Characteristics of power semiconductor devices. Laboratory subject that covers content not offered in the regular curriculum. a dual-degree thesis. Basic and advanced A/D and D/A converters, delta-sigma modulators, RF and other signal processing circuits. Readings from classic sources including Aristotle, Kant, Machiavelli, Hobbes, Locke, Rousseau, Franklin, Tocqueville, Arendt, and King. Students required to implement a project on a topic of their choice from the material covered. Not offered regularly; consult department3-0-9 units. Our faculty and students are testing, building, and scaling solutions to meet the pressures of climate change, food security, urbanization, and pandemics. Includes sequence of programming assignments on a large multicore machine, culminating with the design of a highly concurrent application. These are coupled with fundamental algorithmic techniques including: dynamic programming, hashing, Gibbs sampling, expectation maximization, hidden Markov models, stochastic context-free grammars, graph clustering, dimensionality reduction, Bayesian networks. Geometric algorithms for massive data sets: external memory and streaming algorithms. Subject meets with 6.401Prereq: 6.0001 and (6.008, 6.041, 18.600, or permission of instructor) G (Spring)4-0-8 units. Project-based course develops students' ability to conceive, implement, and evaluate successful projects in any engineering discipline. Device and circuit level optimization of digital building blocks. Before enrolling, students must have an employment offer from a company or organization and must find an EECS supervisor. Gameblox is a game-building platform developed at the Scheller Teacher Education Program over the last couple years and featured in the EdTechX series of online courses produced by our lab. Computer Science and Engineering (VI-3) majors must complete the General Institute Requirements, the Communication Requirement, and the departmental requirements appearing in the flow chart below. Engineering School-Wide Elective Subject. The department does not have a foreign language requirement, but does require an approved minor program. Give Electrical Engineering and Computer Science Great Educators Fellowship Fund 3297510 Extensive use of CAD tools in weekly labs serve as preparation for a multi-person design project on multi-million gate FPGAs. 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. Examines the implications of work on brain scanning, developmental psychology, and cognitive psychology. Researchers make breakthroughs in a variety of topics, including product design, data science, robotics, and hardware design. Labs involve implementing and compromising a web application that sandboxes arbitrary code, and a group final project. Students formulate their own device idea, either based on cantilevers or mixers, then implement and test their designs in the lab. Prereq: 6.033 and 6.042[J] G (Spring)4-0-8 units. Deriving a symbolic description of the environment from an image. The doctoral program usually takes about four to five years beyond the master's level. Introduction to fundamental concepts and techniques of optics, photonics, and fiber optics. Through a seamless, five-year course of study, the Master of Engineering in Electrical Engineering and Computer Science (6-P) program leads directly to the simultaneous awarding of the Master of Engineering and one of the three bachelor’s degrees offered by the department. An introduction to probability theory, the modeling and analysis of probabilistic systems, and elements of statistical inference. Acad Year 2021-2022: Not offered5-0-7 units. Topics include fundamental approaches for parsing, semantics and interpretation, virtual machines, garbage collection, just-in-time machine code generation, and optimization. Examples deal with limiting cases of electromagnetic theory, multi-port elements, filters and antennas. Recipients of a Master of Engineering degree normally receive a Bachelor of Science degree simultaneously. Recommended prerequisite: 6.036 or other previous experience in machine learning. Final third focuses on biophysics of synaptic transmission and introduction to neural computing. Covers subject matter not offered in the regular curriculum. Spectral analysis, time-frequency analysis, relation to filter banks. Same subject as 2.792[J], HST.542[J] Computer-aided design methodologies for synthesis of multivariable feedback control systems. Concepts covered useful to 6.005. Consult the department for details. The Center for Computational Science and Engineering supports computational engineering research and education at MIT. A graduate level course investigates computational problems in rendering, animation, and geometric modeling. Jump to navigation Jump to search History. Presents advanced physical models and practical aspects of front-end microfabrication processes, such as oxidation, diffusion, ion implantation, chemical vapor deposition, atomic layer deposition, etching, and epitaxy. Same subject as 18.437[J]Prereq: 6.046[J] Acad Year 2020-2021: G (Fall) Fast-paced introduction to the C and C++ programming languages. Because the backgrounds of applicants to the department's doctoral and predoctoral programs are extremely varied, both as to field (electrical engineering, computer science, physics, mathematics, biomedical engineering, etc.) Applications may include face recognition, multimodal interaction, interactive systems, cinematic special effects, and photorealistic rendering. Reviews visionary ideas of Turing, Minsky, and other influential thinkers. See description under subject 2.EPW. Systems, features and devices that are most illuminated by the methods of physical sciences and engineering models. Combination of 6.0001 and 6.0002 counts as REST subject. Same subject as 9.611[J]Prereq: 6.034 Acad Year 2020-2021: Not offered Not offered regularly; consult department3-3-0 units. Prereq: 6.0001 G (Fall)4-3-5 unitsCredit cannot also be received for 6.034. Develops a common conceptual framework based on invariants, abstraction, and modularity applied to state and labeled transition systems. Prereq: Permission of instructor G (Fall, Spring)Units arrangedCan be repeated for credit. Not offered regularly; consult department2-2-2 units. These degrees are open to those able students in the doctoral or predoctoral program who seek more extensive training and research experiences than are possible within the master's program. Introductory ideas on nonlinear systems. The 6-A Master of Engineering Thesis Program with Industry enables students to combine classroom studies with practical experience in industry through a series of supervised work assignments at one of the companies or laboratories participating in the program, culminating with a Master of Engineering thesis performed at a 6-A member company. Students taking graduate version complete additional assignments. Acad Year 2021-2022: G (Spring)3-0-9 units. Succinct data structures; tree encodings; implicit data structures. This program is accredited by the Engineering Accreditation Commission of ABET and the Computing Accreditation Commission of ABET, http://www.abet.org. Fundamental concepts, functions, and structures of compilers. MIT. Same subject as 15.359[J]Prereq: None U (Fall)3-3-6 units, Engineering School-Wide Elective Subject. Emphasizes the relationship among technology, hardware organization, and programming systems in the evolution of computer architecture. Students taking graduate version complete additional assignments. Same subject as 2.372[J] Civil and Environmental Engineering; Electrical Engineering and Computer Science; Mechanical Engineering; Nuclear Science and Engineering; Operations Research; Mens et Manus. Particle methods and filtering. Substantial project required. ** The Master of Science degree is required of students pursuing a doctoral degree. Same subject as 16.412[J]Prereq: (6.034 or 16.413[J]) and (6.042[J], 16.09, or 6.041) Acad Year 2020-2021: Not offered Provides an introduction to the design of digital systems and computer architecture. Decimation, interpolation, and sampling rate conversion. Introduction to computational techniques for modeling and simulation of a variety of large and complex engineering, science, and socio-economical systems. Not offered regularly; consult departmentUnits arranged [P/D/F]Can be repeated for credit. Coding with feedback. Recommended prerequisite: 18.06. For MIT undergraduates, the Department of Electrical Engineering and Computer Science offers several programs leading to the Bachelor of Science: The bachelor’s programs in 6-1, 6-2, and 6-3 build on the General Institute Requirements in science and the humanities, and are structured to provide early, hands-on engagement with ideas, activities, and learning that allow students to experience the range and power of electrical engineering and computer science in an integrated way. Emphasis on applied cryptography and may include: basic notion of systems security, cryptographic hash functions, symmetric cryptography (one-time pad, stream ciphers, block ciphers), cryptanalysis, secret-sharing, authentication codes, public-key cryptography (encryption, digital signatures), public-key attacks, elliptic curve cryptography; pairing functions, fully homomorphic encryption, differential privacy, bitcoin, viruses, electronic voting, Assignments include a group final project. Labs designed to strengthen background in signal processing and machine learning. Seminar exploring advanced research topics in the field of computer vision; focus varies with lecturer. Topics include acoustic theory of speech production, acoustic-phonetics, signal representation, acoustic and language modeling, search, hidden Markov modeling, neural networks models, end-to-end deep learning models, and other machine learning techniques applied to speech and language processing topics. Prereq: Permission of instructor U (IAP) Includes a semester-long, group project that delivers a virtual machine that spans all of these topics. Enrollment limited. Noise shaping. Modeling and behavior of electromechanical devices, including magnetic circuits, motors, and generators. Electrical Engineering and Computer Science, Toggle School of Architecture and Planning, Toggle Civil and Environmental Engineering, Toggle Electrical Engineering and Computer Science, Toggle School of Humanities, Arts, and Social Sciences, Toggle Comparative Media Studies/​Writing, Toggle Earth, Atmospheric, and Planetary Sciences, Toggle MIT Schwarzman College of Computing, graduate degrees in engineering and management for those with, and strong undergraduate degrees in a technical field, During the two-year program, students complete a six-month internship. Students take eight subjects that provide a mathematical, computational, and algorithmic basis for the major. Introduces the main mathematical models used to describe large networks and dynamical processes that evolve on networks. On-chip passive component design of inductors, capacitors, and antennas. Subject meets with 6.131, 6.330Prereq: 6.002 or 6.003 U (Fall)3-9-3 units. Considers corporate and government viewpoints as well as international aspects, such as nuclear weapons proliferation and global climate issues. Students fabricate solar cells, and a choice of MEMS cantilevers or microfluidic mixers. Students taking graduate version complete additional assignments. IT, computer science, and computer engineering are the main pillars of the technology field. Distributions, marginalization, conditioning, and structure, including graphical and neural network representations. Testing of integrated circuits. Subject meets with 6.041Prereq: Calculus II (GIR) G (Fall, Spring)4-0-8 unitsCredit cannot also be received for 15.079, 15.0791, 18.600, Same subject as 16.391[J]Prereq: Calculus II (GIR), 6.431, 18.06, or permission of instructor G (Fall)3-0-9 units. Same subject as 2.78[J], HST.420[J]Prereq: Permission of instructor Acad Year 2020-2021: Not offered All students in 6-1, 6-2, 6-3, 6-7, or 6-9 may also apply for one of the Master of Engineering programs offered by the department, which require an additional year of study for the simultaneous award of both degrees. Individual research project arranged with appropriate faculty member or approved supervisor. Explores relevant methods in the context of additive manufacturing (e.g., 3D printing). Not offered regularly; consult department3-0-9 unitsCan be repeated for credit. At the end of their junior year, most 6-A students can apply for admission to 6-PA, which is the 6-A version of the department's five-year 6-P Master of Engineering degree program. Rigorously explores what kinds of tasks can be efficiently solved with computers by way of finite automata, circuits, Turing machines, and communication complexity, introducing students to some major open problems in mathematics. In these, graduate students, faculty, and visitors report their research in an atmosphere of free discussion and criticism. Prereq: 6.006 and 6.045[J] G (Spring) Institute LAB. Registration subject to approval of professor in charge. Prepares students for the design and implementation of a final project of their choice: games, music, digital filters, wireless communications, video, or graphics. Finite-state Markov chains. Sublinear time algorithms understand parameters and properties of input data after viewing only a minuscule fraction of it. Research project for those EECS students whose curriculum requires a senior project. Practical introduction to data analysis, statistical modeling, and experimental design, intended to provide essential skills for conducting research. Elementary statistical physics; Fermi-Dirac, Bose-Einstein, and Boltzmann distribution functions. Introduces the design and construction of power electronic circuits and motor drives. Students engage in extensive oral and written communication exercises. Assignments reinforce techniques through analyzing sample datasets and reading case studies. Convex analysis, Lagrangian relaxation, nondifferentiable optimization, and applications in integer programming. Markov chains. Subject meets with 6.320Prereq: Physics II (GIR) and (2.087 or 18.03) U (Spring)4-4-4 units. Same subject as 18.336[J]Prereq: 6.336[J], 16.920[J], 18.085, 18.335[J], or permission of instructor G (Fall)3-0-9 units, Same subject as 2.096[J], 16.910[J]Prereq: 18.03 or 18.06 G (Fall)3-6-3 units. Prereq: 6.002 U (Spring)2-9-1 units. Acad Year 2021-2022: U (Spring)3-0-6 units, Prereq: None U (IAP) Open to advanced students from all areas of EECS. Develops skills applicable to the planning and management of complex engineering projects. Same subject as 15.070[J]Prereq: 6.431, 6.436[J], 18.100A, 18.100B, or 18.100Q G (Spring)3-0-9 units, G. Bresler, D. Gamarnik, E. Mossel, Y. Polyanskiy, Prereq: 6.041 or 6.042[J] Acad Year 2020-2021: Not offered Emphasizes fundamental algorithms and advanced methods of algorithmic design, analysis, and implementation. Prereq: None U (Fall, IAP, Spring, Summer)Units arranged [P/D/F]Can be repeated for credit. Students use a studio format (i.e., extended periods of time) for constructing software and hardware prototypes. Covers material properties, microfabrication technologies, structural behavior, sensing methods, electromechanical actuation, thermal actuation and control, multi-domain modeling, noise, and microsystem packaging.