Faculty of the School of Engineering and Applied Sciences Offering Instruction in Engineering Sciences

Ferran Adria, Visiting Lecturer on Creativity and Science
Joanna Aizenberg, Amy Smith Berylson Professor of Materials Science
Beth Altringer, Visiting Lecturer on Engineering Sciences
James G. Anderson, Philip S. Weld Professor of Atmospheric Chemistry
Michael J. Aziz, Gene and Tracy Sykes Professor of Materials and Energy Technologies
Katia Bertoldi, Assistant Professor of Applied Mechanics
Sujata K. Bhatia, Lecturer on Biomedical Engineering (Assistant Director for Undergraduate Studies for Biomedical Engineering)
Paul Blake Bottino, Lecturer on Entrepreneurial Studies
John Briscoe, Gordon McKay Professor of the Practice of Environmental Engineering
Federico Capasso, Robert L. Wallace Professor of Applied Physics and Vinton Hayes Senior Research Fellow in Electrical Engineering (on leave spring term)
Anas Chalah, Lecturer on Engineering Sciences
David R. Clarke, Gordon McKay Professor of Applied Physics
Philippe Cluzel, Professor of Molecular and Cellular Biology and Gordon McKay Professor of Applied Physics
Kenneth B. Crozier, John L. Loeb Associate Professor of the Natural Sciences
Marie D. Dahleh, Senior Lecturer on Engineering Sciences
David A. Edwards, Gordon McKay Professor of the Practice of Biomedical Engineering (on leave fall term)
Daniela Faas, Senior Preceptor in Design Instruction
Brian F. Farrell, Robert P. Burden Professor of Meteorology
Roy G. Gordon, Thomas Dudley Cabot Professor of Chemistry and Professor of Materials Science
Fawwaz Habbal, Senior Lecturer on Applied Physics
Donhee Ham, Gordon McKay Professor of Electrical Engineering and Applied Physics
Robert D. Howe, Abbott and James Lawrence Professor of Engineering, Area Dean for Bioengineering (Director of Undergraduate Studies for Biomedical Engineering)
Evelyn Hu, Gordon McKay Professor of Applied Physics and of Electrical Engineering, Area Dean for Electrical Engineering
Donald E. Ingber, Professor of Bioengineering
Daniel J. Jacob, Vasco McCoy Family Professor of Atmospheric Chemistry and Environmental Engineering
Neel S. Joshi, Assistant Professor of Chemical and Biological Engineering
Navin Khaneja, Gordon McKay Professor of Electrical Engineering
Zhiming Kuang, Gordon McKay Professor of Atmospheric and Environmental Science
H. T. Kung, William H. Gates Professor of Computer Science and Electrical Engineering
Jennifer Lewis, Hansjorg Wyss Professor of Biologically Inspired Engineering
Christopher Joseph Lombardo, Lecturer on Engineering Sciences
Marko Loncar, Tiantsai Lin Professor of Electrical Engineering
Yue Lu, Assistant Professor of Electrical Engineering
Amirhamed Majedi, Visiting Associate Professor in Engineering Sciences
Vinothan N. Manoharan, Associate Professor of Chemical Engineering and of Physics
Scot T. Martin, Gordon McKay Professor of Environmental Chemistry
Karena A. Mc Kinney, Lecturer on Environmental Science and Engineering
Michael B. McElroy, Gilbert Butler Professor of Environmental Studies
Harold McGee, Visiting Lecturer on Science and Cooking
David J. Mooney, Robert P. Pinkas Family Professor of Bioengineering
Cherry Murray, John A. and Elizabeth S. Armstrong Professor of Engineering and Applied Sciences and Professor of Physics, Dean of the School of Engineering and Applied Sciences
Venkatesh Narayanamurti, Benjamin Peirce Professor of Technology and Public Policy (on leave 2012-13)
Daniel Joseph Needleman, Assistant Professor of Applied Physics, Associate Professor of Applied Physics
Kevin K. Parker, Tarr Family Professor of Bioengineering and Applied Physics (on leave fall term)
Shriram Ramanathan, Associate Professor of Materials Science
James R. Rice, Mallinckrodt Professor of Engineering Sciences and Geophysics (on leave fall term)
David S. Ricketts, Visiting Associate Professor in Engineering Sciences
Andrea Rose Sachdeva, Visiting Lecturer in the School of Engineering and Applied Sciences
Daniel P. Schrag, Sturgis Hooper Professor of Geology and Professor of Environmental Science and Engineering
Margo I. Seltzer, Herchel Smith Professor of Computer Science
Maurice A. Smith, Associate Professor of Bioengineering
Pia Malena Sorensen, Preceptor in Science and Cooking
Frans A. Spaepen, John C. and Helen F. Franklin Professor of Applied Physics (on leave spring term)
Zhigang Suo, Allen E. and Marilyn M. Puckett Professor of Mechanics and Materials
Vahid Tarokh, Perkins Professor of Applied Mathematics and Vinton Hayes Senior Research Fellow of Electrical Engineering
Patrick D. Ulrich, Lecturer on Environmental Science and Engineering
Avinash Raj Uttamchandani, Preceptor in Design Instruction
Chad D. Vecitis, Assistant Professor of Environmental Engineering
Joost J. Vlassak, Gordon McKay Professor of Materials Engineering, Area Dean for Materials Science and Mechanical Engineering
Conor J. Walsh, Assistant Professor of Mechanical and Biomedical Engineering
Gu-yeon Wei, Gordon McKay Professor of Electrical Engineering and Computer Science
David A. Weitz, Mallinckrodt Professor of Physics and of Applied Physics
Steven C. Wofsy, Abbott Lawrence Rotch Professor of Atmospheric and Environmental Science, Area Dean for Environmental Science and Engineering
Robert J. Wood, Charles River Professor of Engineering and Applied Sciences
Woodward Yang, Gordon McKay Professor of Electrical Engineering and Computer Science (on leave 2012-13)
Todd Zickler, William and Ami Kuan Danoff Professor of Electrical Engineering and Computer Science (Director of Undergraduate Studies for Engineering Sciences)

Other Faculty Offering Instruction in Engineering Sciences

The School of Engineering and Applied Sciences (www.seas.harvard.edu) offers undergraduate and graduate courses in Applied Mathematics, Applied Physics, Computer Science, Earth and Planetary Sciences, and Engineering Sciences. Engineering and Applied Sciences faculty also offer several courses in the section entitled Freshman Seminars, Extra-Departmental Courses, and House Seminars.

For information concerning concentration in Engineering Sciences, please consult the Director of Undergraduate Studies or the Office of Student Affairs, School of Engineering and Applied Sciences, Pierce Hall 110.

Primarily for Undergraduates

Catalog Number: 0314
Todd Zickler and Sujata Bhatia
Half course (spring term). M., W., 1-2:30, and a weekly lab section to be arranged. EXAM GROUP: 6, 7
An integrative introduction to engineering sciences. Combines classroom discussion with activity-based learning, and emphasizes concepts that span multiple disciplines. Covers topics having direct societal impact, and presents them in historical context. Involves qualitative and quantitative analysis, mathematical modeling, and design. Introduces common engineering software and hardware tools.

This course, when taken for a letter grade, meets the General Education requirement for either Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both. This course, when taken for a letter grade, meets the Core area requirement for Science A.

Engineering Sciences 6. Environmental Science and Technology
Catalog Number: 2969
Scot T. Martin, Chad D. Vecitis, Anas Chalah, and Patrick D. Ulrich
Half course (spring term). Tu., Th., 11:30-1. EXAM GROUP: 13, 14
An introduction to the role of technology in the environmental sciences, with foci on energy and water topics. The basic scientific principles underlying human use and control of the environment are emphasized. The course includes several field trips.

Note: This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or the Core area requirement for Science B.

Prerequisite: The course presumes basic knowledge in chemistry, physics, and mathematics at the high school level.

*Engineering Sciences 20. How to Create Things and Have Them Matter
Catalog Number: 9676 Enrollment: Limited to 12.
David A. Edwards
Half course (spring term). M., W., 1-3. EXAM GROUP: 6, 7
This aspirational design course teaches students to generate, develop and realize breakthrough ideas in the arts, sciences, and engineering. Students learn basic skills of engineering design, brainstorming, prototyping, and public presentations. Funding is available for continued project development following the course. This year's theme is "Synthetic Biology."

Note: Open to all students by permission of instructor.

*Engineering Sciences 21. The Innovator's Practice: Finding, building and leading good ideas with others
Catalog Number: 70925 Enrollment: Limited to 25. Permission of instructor required.
Beth Altringer
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Students gain experience overcoming many under-represented challenges of becoming an innovator, including: identifying your intrinsic motivations, finding related good ideas, working effectively with others to develop them, and leading innovative professional projects to implementation. Students apply human-centered design processes (observing, interpreting, ideating, testing, refining, planning) to stimulate innovation, negotiate, strategize, and build and lead cooperative teams. Features guest speakers from industry, academia, and involves collaborating with cutting-edge companies.

*Engineering Sciences 22. Design Survivor: Experiential Lessons in Designing for Desirability - (New Course)
Catalog Number: 87699 Enrollment: Limited
Beth Altringer
Half course (spring term). M., W., 10–12. EXAM GROUP: 3, 4
Multi-disciplinary course for students interested in designing products and services that are simple, irresistible, delightful, cool, covetable, viral, and, increasingly in today’s day and age, much more likely to be successful. Students study real world cases of how organizations (e.g., Apple, Gucci, Swarovski) strategically design for desirability. In weekly design challenges, students use analogical transfer to apply these insights to diverse industries and target markets (e.g., health literacy campaigns, declining technologies, the future of luxury). Weekly critique panels with experts enable students to develop their own design point of view and to finish with a diverse design portfolio.
Note: Permission required for all students.

Engineering Sciences 50. Introduction to Electrical Engineering
Catalog Number: 4499
Marko Loncar and Evelyn Hu
Half course (spring term). M., W., 2-3:30. EXAM GROUP: 7, 8
A discussion of topics of central importance to the fields of electronics, communications and intelligent systems. The material concerns both qualitative and quantitative analysis, as well as laboratory experiments and computer simulations. Examples of topics to be discussed range from relatively simple modules such as analog amplifiers and digital adders, to complex devices such as cell-phones and their supporting infrastructure.

Note: Students who have taken 100-level courses in electrical engineering will not be allowed to enroll in Engineering Sciences 50. This course, when taken for a letter grade, meets the General Education requirement for either Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both. This course, when taken for a letter grade, meets the Core area requirement for Science A.

*Engineering Sciences 51. Computer-Aided Machine Design
Catalog Number: 0322 Enrollment: Limited to 15.
Daniela Faas (spring term) and Conor J. Walsh (fall term)
Half course (fall term; repeated spring term). Fall: M., W., F., at 10; Spring: M., W., F., at 12. EXAM GROUP: Fall: 3; Spring: 5
A first course in the design and construction of mechanical and electromechanical devices. Engineering graphics and sketching; dimensions and tolerances. Introduction to materials selection and structural design. Machine elements and two-dimensional mechanisms; DC motors. Design methodology. Emphasis on laboratory work and design projects using professional solid modeling CAD software and numerically controlled machine tools.

Note: Intended for freshmen and sophomores. This course, when taken for a letter grade, meets the Core requirement for Science A.

Prerequisite: Mathematics 1b (may be taken concurrently); high school physics.

Engineering Sciences 53. Quantitative Physiology as a Basis for Bioengineering
Catalog Number: 3604
Maurice A. Smith and Sujata K. Bhatia
Half course (fall term). M., W., F., at 12.
A foundation in human organ systems physiology, including cardiac, respiratory, renal, gastrointestinal, and neural systems. Quantitative description of organ systems function and control in terms of physical principles and physiologic mechanisms. Simple mathematical models representing key aspects of organ systems function. Emphasis will be given to understanding the ways in which dysfunction in these systems gives rise to common human disease processes.

Note: Open to freshmen.

*Engineering Sciences 91r. Supervised Reading and Research
Catalog Number: 1113
Todd Zickler
Half course (fall term; repeated spring term). Hours to be arranged.
Guided reading and research.

Note: Normally open to candidates accepted for work on a specific topic by a member of the teaching staff of the School of Engineering and Applied Sciences. Normally may not be taken for more than two terms; may be counted for concentration in Engineering Sciences if taken for graded credit. Applicants should file a project sheet before study cards are filed. Project sheets may be obtained from the Student Affairs Office, Pierce Hall 110.

*Engineering Sciences 95r. Startup Development and Design - (New Course)
Catalog Number: 60126 Enrollment: Limited
Paul Blake Bottino
Half course (fall term; repeated spring term). Hours to be arranged.
Students do field-based work to develop their existing startups or explore new ideas and opportunities for startup design. The course is for students seeking actual experience as a founder of a startup, whether commercial, social or another type of innovative project. Students may work individually; teams are preferred. Requires self-directed, independent work and active search for and outreach to mentors, customers, and partners for guidance and feedback in addition to that provided by the instructor. Students will share their work regularly and engage in peer-to-peer feedback forum.
Note: Enrollment limited; permission of instructor required.

*Engineering Sciences 96. Engineering Problem Solving and Design Project
Catalog Number: 8461 Enrollment: Limit 20 per section
David J. Mooney, Fawwaz Habbal, Kevin K. Parker, and Margaret S. Livingstone (Medical School) (spring term),
Half course (fall term; repeated spring term). Fall: M., W., 9–11; Spring: Section 1: M., Th., 3–5; Section 2: M., W., 1–3.
Semester-long team project that provides engineering experience working with clients on real-world problems. Projects provide exposure to problem definition, performance measurement, quantitative analysis, modeling, generation of creative solutions, engineering design trade-offs, and documentation/communication skills. Ordinarily taken in the spring term of the junior year.

Note: Preference given to SB candidates.

Cross-listed Courses

For Undergraduates and Graduates

Additional courses of interest to students in Electrical Engineering include: Computer Sciences 141, 143, and 148.

Catalog Number: 4268
Robert J. Wood
Half course (fall term; repeated spring term). Th., 4-6. EXAM GROUP: Spring: 18
Individual design projects, with multiple realistic constraints, selected to provide experience in the processes and practice of engineering design. Requires proficiency in electronic circuit construction, mechanical fabrication techniques, or software engineering. Students will develop a solution to an open-ended engineering problem which will be demonstrated at the end of the course.
Note: Ordinarily taken in the senior year. This one-term version of Engineering Sciences 100hf is open only to students in special circumstances. Enrolled students are required to file a proposed project form with the Student Affairs Office, Pierce 110, early in the term. Project approval rests with the SEAS Design Advisory Committee.
Prerequisite: *Engineering Sciences 96.

*Engineering Sciences 100hf. Engineering Design Projects
Catalog Number: 7535
Robert J. Wood
Half course (throughout the year). Th., 4-6. EXAM GROUP: 18
Individual design projects, with multiple realistic constraints, selected to provide experience in the processes and practice of engineering design. Requires proficiency in electronic circuit construction, mechanical fabrication techniques, or software engineering. Students will develop a solution to an open-ended engineering problem which will be demonstrated at the end of the course.

Note: Ordinarily taken in the senior year. Enrolled students are required to file a proposed project form with the Student Affairs Office, Pierce Hall 110, early in the term. Project approval rests with the SEAS Design Advisory Committee.

Prerequisite: *Engineering Sciences 96.

Engineering Sciences 103. Spatial Analysis of Environmental and Social Systems
Catalog Number: 9277
Sumeeta Srinivasan
Half course (spring term). Tu., Th., 11:30-1.
Introduces the fundamental statistical and mapping tools needed for analysis of environmental systems. Topics will be linked by environmental and social themes and will include GIS concepts; data models; spatial statistics; density mapping; buffer zone analysis; surface estimation; map algebra; suitability modeling. Students will acquire technical skills in both mapping and spatial analysis. Software packages used will include ArcGis. There will be guest lectures by researchers and practitioners who use GIS for spatial analysis.

Prerequisite: Applied Mathematics 21 or equivalent.

Engineering Sciences 110. Science, Engineering, and the Community
Catalog Number: 0452 Enrollment: Limited to 15.
Vinothan N. Manoharan
Half course (fall term). M., 5-7:30 p.m.
Activity-based course for beginning/intermediate science and engineering undergraduates. Combines readings and discussions on techniques for learning science and engineering design with implementation in an 8th grade science class in Cambridge. Students work directly with the 8th graders to guide how they learn. Students apply what they discover to improve their own understanding of college-level science and engineering.
Note: Offered in alternate years.

Prerequisite: Interest in science, engineering, learning, and outreach.

Engineering Sciences 120. Introduction to the Mechanics of Solids
Catalog Number: 1493
Joost J. Vlassak
Half course (spring term). M., W., F., at 1. EXAM GROUP: 6
A first course in the mechanical sciences which introduces elements of continuum mechanics and explains how materials and structures stretch, bend, twist, shake, buckle, and break. Stress-strain behavior of materials. Statically determinate and indeterminate structures. Stress and strain, equations of motion or equilibrium, strain-displacement relations. Torsion. Beam theory with applications to beam deflections, vibrations, and buckling. Three laboratory sessions required.
Prerequisite: Physics 11a or 15a, and Applied Mathematics 21a or Mathematics 21a (previously) and Applied Mathematics 21b or Mathematics 21b (previously or concurrently).

Engineering Sciences 123. Introduction to Fluid Mechanics and Transport Processes
Catalog Number: 8323
Daniel Joseph Needleman
Half course (spring term). M., W., F., at 10, and laboratory. EXAM GROUP: 3
Dimensional analysis. Basic elements of steady and unsteady thermal conduction and mass diffusion. Statics and dynamics of fluids. Buoyancy-stability and hydrostatics. Laminar viscous flows, potential flows, origin of lift, and basic aspects of boundary layers. Navier-Stokes and continuity equations. Applications in aerodynamics, chemical, environmental, and mechanical engineering, and physics.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b.

Engineering Sciences 125. Mechanical Systems
Catalog Number: 7274
Katia Bertoldi
Half course (fall term). M., W., 1-2:30. EXAM GROUP: 6, 7
Modeling and analysis of mechanical and electromechanical systems. Topics include 3D rigid body dynamics, resonance, damping, frequency response, Laplace transform methods, Lagrange's equations, multiple degree-of-freedom systems and an introduction to nonlinear vibration, continuous systems, and control. Analytical modeling will be supplemented with numerical simulations and lab experiments. Laboratory exercises will explore vibration, stabilization, and nonlinear systems using data acquisition systems.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b or Mathematics 23a,b; Physics 11a or 15a.

[Engineering Sciences 128. Computational Solid and Structural Mechanics]
Catalog Number: 0359
Katia Bertoldi
Half course (spring term). Tu., Th., 1-2:30 and a weekly section to be arranged. EXAM GROUP: 15, 16
Introduction to finite element methods for analysis of steady-state and transient problems in solid, structural, fluid mechanics, and heat transfer. Implementation of simple MATLAB codes and use of existing general-purpose programs (ABAQUS and COMSOL).
Note: Expected to be given in 2013-14. Offered alternate years.
Prerequisite: Engineering Sciences 120 or equivalent introduction to the mechanics of deformable materials and fluids. Engineering Sciences 123 may be taken concurrently.

Engineering Sciences 135. Physics and Chemistry: In the Context of Energy and Climate at the Global and Molecular Level
Catalog Number: 98766 Enrollment: Limited to 30.
James G. Anderson
Half course (fall term). Tu., Th., 1-2:30. EXAM GROUP: 15, 16
A solution to the problems set by the intersection of global energy demand and climate feedbacks requires the teaching of physics and chemistry in that context. Core topics include thermodynamics, free energy, entropy, acid-base and oxidation-reduction reactions, electrochemistry, electromagnetic induction, circuit theory, AC and DC circuits, the nature of photons and of electromagnetic radiation, photochemistry, materials, catalysis, kinetics, molecular bonding, and biological processes for energy conversion and storage.
Prerequisite: Physical Sciences 1 or permission of instructor.

Engineering Sciences 139. Innovation in Science and Engineering: Conference Course
Catalog Number: 0994
David A. Weitz, Paul Blake Bottino, and David S. Ricketts
Half course (fall term). M., at 2:30, W., 2:30–4:30. EXAM GROUP: 7, 8, 9
Explores factors and conditions contributing to innovation in science and engineering; how important problems are found, defined, and solved; roles of teamwork and creativity; and applications of these methods to other endeavors. Students receive practical and professional training in techniques to define and solve problems, and in brainstorming and other individual and team approaches.
Note: Taught through a combination of lectures, discussions, and exercises led by innovators in science, engineering, arts, and business.

Engineering Sciences 150. Introduction to Probability with Engineering Applications
Catalog Number: 8997
Yue Lu
Half course (spring term). Tu., Th., 11:30-1. EXAM GROUP: 13, 14
This course introduces students to probability theory and statistics, and their applications to physical, biological and information systems. Topics include: random variables, distributions and densities, conditional expectations, Bayes' rules, laws of large numbers, central limit theorems, Markov chains, Bayesian statistical inferences and parameter estimations. The goal of this course is to prepare students with adequate knowledge of probability theory and statistical methods, which will be useful in the study of several advanced undergraduate/graduate courses (e.g. digital communications, signal processing, control theory, detection and estimation, information theory, communication networks) and in formulating and solving practical engineering problems.
Prerequisite: Mathematics 21a or Applied Mathematics 21a, and Mathematics 21b or Applied Mathematics 21b.

Engineering Sciences 151. Applied Electromagnetism
Catalog Number: 5742
Donhee Ham 
Half course (spring term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
Electromagnetism and its applications in science and technology. Topics: Maxwell's equations; electromagnetic waves (e.g., light, microwaves, etc.); wave propagation through media discontinuity; transmission lines, waveguides, and microwave circuits; radiation and antennae; interactions between electromagnetic fields and matters; optics of solids; optical devices; origin of colors; interference and diffraction; lasers and masers; nuclear magnetic resonance and MRI; radio astronomy; wireless networking; plasmonic wave (charge density wave).
Prerequisite: Basic electromagnetism (Physics 11b or 15b or equivalent), basic vector calculus (Applied Math 21a or equivalent), basic differential equations (Applied Math 21b or equivalent) and familiarity with Fourier analysis (Applied Math 21b or equivalent).

Engineering Sciences 155. Biological Signal Processing - (New Course)
Catalog Number: 63833
Vahid Tarokh
Half course (spring term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
General properties of common biosignals, Bioelectrical (electrophysiological), Biomechanical, Biomagnetic , and Biochemical signals, Bioelectrical acquisition process. Brief discussion of bio-signals obtained from tomography and inverse imaging. Brief introduction to underlying principles of MRI, Ultrasound, CT-Scan, PET, and SPECT, and their associated signals, inverse imaging, ill-posed problems and regularization. Non-transformed and transformed methods for biosignal processing. Structural and Graphical descriptions. Overview of Fourier transforms, Sine and cosine transform, Wavelet transform, Principle Component Analysis, dimension reduction techniques. Blind Source Separation, Representation models based on the statistical independence of the underlying sources, Independent component analysis (ICA), Dependent component analysis, Independent Subspace separation, Pattern Recognition, neural networks, clustering, and genetics algorithms. Applications to Biosignal Processing, and Human computer interaction.
Prerequisite: AM21a (knowledge of AM21b can be helpful).

Engineering Sciences 154. Electronic Devices and Circuits
Catalog Number: 6319
Donhee Ham
Half course (fall term). Tu., Th., 2:30-4, and laboratory to be arranged. EXAM GROUP: 16, 17
Design of electronic circuits (including integrated circuits) using semiconductor transistors. Topics: the physics of electrical conduction; the physics of semiconductors; bipolar transistors; field effect transistors; single- and multi-stage amplifiers; operational amplifiers; frequency responses and stability; feedback circuits; the physics of noise; self-sustained oscillators; phase-locked loops.
Prerequisite: Familiarity with differential equations and Fourier analysis (Applied Mathematics 21b or Mathematics 21b), familiarity with basic electricity (Physics 11b or 15b).

Engineering Sciences 156. Signals and Systems
Catalog Number: 6284
Vahid Tarokh
Half course (spring term). Tu., Th., 10-11:30, and weekly one hour Matlab section and one hour problem section to be arranged. EXAM GROUP: 12, 13
Time and frequency domain representations and analysis of signals and systems. Convolution and linear input-output systems in continuous and discrete time. Fourier transforms and Fourier series for continuous- and discrete-time signals. Laplace and Z transforms. Analog and digital filtering. Modulation. Sampling. FFT. Applications in circuit analysis, communication, control, and computing.
Prerequisite: Applied Mathematics 21b or Mathematics 21b.

Engineering Sciences 159. Introduction to Robotics
Catalog Number: 3126
Robert J. Wood
Half course (fall term). Tu., Th., 1-2:30. EXAM GROUP: 15, 16
Introduction to computer-controlled robotic manipulators. Topics include coordinate frames and transformations, kinematic structure and solutions, statics and dynamics of serial and parallel chain manipulators, control and programming, introduction to path planning, introduction to teleoperation, robot design, and actuation and sensing devices. Laboratory exercises provide experience with industrial robot programming and robot simulation and control.
Note: Offered in alternate years.
Prerequisite: Computer Science 50, and either Engineering Sciences 125 or 156.

Engineering Sciences 162. Hydrology and Environmental Geomechanics
Catalog Number: 4163
James R. Rice
Half course (spring term). M., W., F., at 11, for three one-hour lecture sessions and 1 and a half hour lab session or section for discussion of assigned problems. EXAM GROUP: 4
Study of water as a critical resource and as a factor in Earth surface and near-surface processes. Focus on development of relevant mechanics and physics. Hydrologic cycle, surface and groundwater, evapotranspiration, soil physics. Flow in porous media, Darcy law, contaminant transport, remediation strategies. Poroelasticity, subsidence, well hydraulics. Seepage forces, landslides, dam failures, sediment liquefaction. Glacial processes. Stream flows, turbulence concepts. Gravity waves, flood control; tsunamis; erosion and sediment transport.
Note: Engineering Sciences 162 is also offered as Earth and Planetary Sciences 162. Students may not take both Engineering Sciences 162 and Earth and Planetary Sciences 162 for credit.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b and Physics 11a,b or 15a,b.

Engineering Sciences 164. Soil and Environmental Chemistry
Catalog Number: 4099
Karena A. Mc Kinney and  Patrick D. Ulrich
Half course (spring term). M., W., 1-2:30. EXAM GROUP: 6, 7
Basic concepts, principles, and applications of environmental chemistry for students in Earth and environmental sciences. We will investigate a variety of environmental chemistry topics relevant for soil environmental systems, including soil mineralogy, water chemistry, redox reactions, precipitation/dissolution, and ion sorption. The principal goal is to explore and apply the fundamental chemical principles to understand Earth processes and solve complex environmental problems.
Note: Cannot be taken for credit by students who have already taken ENG-SCI 264.
Prerequisite: Physical Sciences 1 or permission of the instructor.

Engineering Sciences 165. Water Engineering
Catalog Number: 4274
Chad D. Vecitis and Scot T. Martin
Half course (fall term). Tu., Th., 11:30-1. EXAM GROUP: 13, 14
Introduces the fundamentals of water biology, chemistry, physics and transport processes needed to understand water quality and water purification technologies. Practical instruction in basic water analyses concluding with a final drinking water treatment project in place of exam.
Prerequisite: Physical Sciences 1 or Physical Sciences 10 or equivalent and Engineering Sciences 6 or equivalent.

Engineering Sciences 169. Seminar on Global Pollution Issues: Case Study of Mercury Biogeochemistry - (New Course)
Catalog Number: 59143
Elynor M. Sunderland
Half course (spring term). M., W., 2:30–4. EXAM GROUP: 7, 8
This course provides a cross-disciplinary overview of environmental science and how research contributes to public policy and human health risk assessment through a case study of a global pollution issue: mercury biogeochemistry. The scientific foundations of environmental research methods are discussed (i.e., analytical chemistry, ecology, use of environmental archives, environmental modeling). Hands on experience conducting multidisciplinary environmental research and original field data analysis will be provided. Course Activities: Lectures, discussions, case studies, field/lab visits.
Prerequisite: Two semesters of undergraduate chemistry including Physical Sciences 1 or Physical Sciences 11; Mathematics 1a & 1b. Knowledge of basic statistics is also helpful.

Engineering Sciences 173. Introduction to Electronic and Photonic Devices
Catalog Number: 3490
Evelyn Hu and Christopher Joseph Lombardo
Half course (spring term). Tu., Th., 1-2:30. EXAM GROUP: 15, 16
This course will focus on physical principles underlying semiconductor devices: electrons and holes in semiconductors , energies and bandgaps, transport properties of electrons and holes, p-n junctions, transistors, light emitting diodes, lasers, solar cells and thermoelectric devices.
Prerequisite: Physics 11a and b, or Physics 15a and b or equivalent (mechanics; electromagnetism); undergraduate level quantum mechanics highly useful, but not required.

*Engineering Sciences 176. Introduction to MicroElectroMechanical System
Catalog Number: 20243 Enrollment: Limited to 25.
Fawwaz Habbal and Anas Chalah
Half course (fall term). Tu., 5:30-7:30 p.m. EXAM GROUP: 18
This course introduces student to the rapidly emerging, multi-disciplinary and exciting field of MicroElectroMechanical Systems (MEMS). It teaches fundamentals of micro machining and Micro fabrication techniques, including planar thin-film process technologies, photolithography and soft-lithography techniques, deposition and etching techniques, and surface, bulk, and electroplating micro machining technologies.
Prerequisite: Physics 11a,b or 15a,b; College Chemistry at the level of Life Sciences 1a and Physical Sciences 1.

Engineering Sciences 177. Microfabrication Laboratory - (New Course)
Catalog Number: 96807
Kenneth B. Crozier
Half course (spring term). M., at 10, and weekly 3-hour laboratory. EXAM GROUP: 3
Introduction to micro- and nanofabrication processes used for photonic and electronic devices. Students use state-of-the-art cleanroom in Center for Nanoscale Systems to fabricate transistors and light-emitting diodes (LEDs). Lecures on fabrication processes, including lithography, deposition, etching, oxidation, implantation, diffusion and electrical characterization.
Prerequisite: Physics 11a and Physics 11b; or Physics 15a and 15b or equivalent.

Engineering Sciences 181. Engineering Thermodynamics
Catalog Number: 3889
Michael J. Aziz
Half course (fall term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
Introduction to classical engineering thermodynamics. Topics: Zeroth Law and temperature. Properties of single-component gases, liquids, and solids. Equations of state for ideal and simple nonideal substances. First Law, heat and heat transfer, work, internal energy, enthalpy. Second Law, Third Law, entropy, free energy, exergy. Heat engines and important engineering applications such as refrigerators, power cycles. Properties and simple models of solutions. Phase and chemical equilibrium in multicomponent systems; chemical potential. Electrochemistry, batteries, fuel cells. Laboratory included.
Prerequisite: One semester of calculus-based college-level physics. Chemistry at the high school Advanced Placement level.

Engineering Sciences 183. Introduction to Heat Transfer - (New Course)
Catalog Number: 16727
David R. Clarke
Half course (spring term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
The macroscopic description of the fundamentals of heat transfer and applications to practical problems in energy conversion, electronics and biological systems with an emphasis on developing a physical and analytical understanding of conductive, convective and radiative heat transfer. Emphasis will also be given to problem solving skills based on applying governing principles, mathematical models and physical intuition. Monthly laboratory sessions.
Prerequisite: Applied Math 21a (Mathematical Methods in Science) and Engineering Sciences 181 (Engineering Thermodynamics).

Engineering Sciences 190. Introduction to Materials Science and Engineering
Catalog Number: 6973
Shriram Ramanathan
Half course (fall term). M., W., 11-12:30. EXAM GROUP: 4, 5
Introduction to the structure, properties, and applications of materials. Crystal structure and defects. Phase transformations: phase diagrams, diffusion, nucleation and growth. Mechanisms of deformation and fracture. Effect of microstructure on properties. Examples from a variety of engineering applications will be discussed.
Prerequisite: Physics 11 or 15, and Applied Mathematics 21a,b or Mathematics 21a,b.

Engineering Sciences 198r. Probability Applications in Social Engineering - (New Course)
Catalog Number: 66894
Kevin K. Parker
Half course (spring term). M., 11–2. EXAM GROUP: 4, 5, 6
Introductory statistical methods for students in the applied sciences and engineering with a focus on social networks. Random variables and probability distributions; the concept of random sampling, including random samples, statistics, and sampling distributions; role of statistics in social network analysis; mathematical interpretation of social networks; connections and homophily, propinquity, mutuality/reciprocity, multiplexity, network closure; distributions and bridges, distance, centrality, density; segmentation and cliques, cohesion, clustering; graph theory and adjacency matrices; Erdos-Rényi model; Watts-Strogatz Small World model; Barabási -Albert (BA) Preferential Attachment model; special topics in social network analysis.
Prerequisite: Applied Mathematics 21b or Mathematics 21b or equivalent.

Cross-listed Courses

*Biomedical Engineering 121 (formerly *Engineering Sciences 122). Cellular Engineering Biomedical Engineering 125 (formerly Engineering Sciences 130). Tissue Engineering
Biomedical Engineering 130 (formerly Engineering Sciences 149). Neural Control of Movement
Earth and Planetary Sciences 133. Atmospheric Chemistry
Earth and Planetary Sciences 135. Physics and Chemistry: In the Context of Energy and Climate at the Global and Molecular Level
Physics 129. Energy Science 
[Physics 136. Physics of Medical Imaging]
Societies of the World 47. Contemporary South Asia: Entrepreneurial Solutions to Intractable Social & Economic Problems

Primarily for Graduates

Additional courses of interest to graduate students in Electrical Engineering includes Computer Sciences 246r. Additional courses of interest to graduate students in Decision, Control, and Communication include Economics 2010a, 2010b, 2010c, 2120, 2140; Statistics 110, 171.

Catalog Number: 2362
Navin Khaneja
Half course (spring term). M., W., F., at 10. EXAM GROUP: 3
Mathematical analysis of decision making. Bayesian inference and risk. Maximum likelihood and nonparametric methods. Algorithmic methods for decision rules: perceptrons, neural nets, and back propagation. Hidden Markov models, Blum-Welch, principal and independent components.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b, and Statistics 110 or equivalents.

Engineering Sciences 202. Estimation and Control of Dynamic Systems
Catalog Number: 5080
Donatello Materassi
Half course (fall term). M., W., 4-5:30. EXAM GROUP: 9
Study of dynamical systems with deterministic and stochastic inputs. Controllability and observability, linear quadratic control, dynamic programming and the Pontryagin maximum principle, Stochastic models and Kalman-Bucy filtering. Applications from engineering and economics.
Prerequisite: Linear differential equations, matrix algebra, and introductory probability as covered in Mathematics 21a, b and Engineering Sciences 150 or equivalents.

Engineering Sciences 203. Stochastic Control
Catalog Number: 6982
Donatello Materassi
Half course (spring term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
Introduction to the theory of stochastic differential equations based on Wiener processes and Poisson counters, and an introduction to random fields. The formulation and solution of problems in nonlinear estimation theory. The Kalman-Bucy filter and nonlinear analogues. Identification theory. Adaptive systems. Applications.
Prerequisite: Applied Mathematics 104 (formerly Applied Mathematics 105a), Applied Mathematics 105 (formerly Applied Mathematics 105b), or equivalent. Some prior exposure to probability; Engineering Sciences 202 desirable but not essential.

[*Engineering Sciences 207. Communicating Science ]
Catalog Number: 5993 Enrollment: Limited to 12.
Cornelia Dean
Half course (fall term). M., 1-4. EXAM GROUP: 6, 7, 8
Climate change, health insurance reform, space exploration, the teaching of science and a host of other issues - today Americans confront more and more important public debates in which the argument hangs on technical issues. On the whole, however, they have difficulty dealing with these issues, in large part because the scientists and engineers who could help them are missing from the debate. This course is designed for graduate students in engineering and the biological and physical sciences who are interested in learning how to engage with the public on these and other issues. It also offers useful guidance on how to explain their own work - writing, speaking and online - intelligently and intelligibly.
Note: Expected to be given in 2013-14.

Engineering Sciences 209. Nonlinear Control Systems
Catalog Number: 1194
Navin Khaneja
Half course (fall term). Tu., Th., 10-11:30.
Study of nonlinear input-output systems including controllability, observability, uniqueness of models, stability, and qualitative behavior of nonlinear dynamical systems. Differential geometry and Lie theory methods developed to study control of classical and quantum mechanical systems.

[Engineering Sciences 210. Mathematical Programming]
Catalog Number: 5499
Donald G. M. Anderson
Half course (fall term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
Introduction to basic optimization techniques. Linear programming: the simplex method and related algorithms, duality theory, interior-point methods. Unconstrained optimization, nonlinear programming, convexity.
Note: Expected to be omitted in 2012-2013.
Prerequisite: Applied Mathematics 104 (formerly Applied Mathematics 105a) and Applied Mathematics 105 (formerly Applied Mathematics 105b); Applied Mathematics 120 or Mathematics 121, would be helpful, but not required.

[*Engineering Sciences 211. Cardiac Biophysics]
Catalog Number: 3906
Kevin K. Parker
Half course (fall term). W., 1-3. EXAM GROUP: 6, 7
An in depth review of contemporary theories in the physics of the heart. The class begins with an overview of cardiac physiology, including an in depth examination of cardiac excitation and excitation-contraction coupling. Cardiac membrane channels, the action potential (Hodgkin-Huxley and Luo-Rudy models), and action potential propagation (cable and bidomain models). Arrhythmias, drugs, and defibrillation. The class will rely heavily on the current literature in the field.
Prerequisite: Electromagnetic fields, calculus, cell biology, physiology, and MATLAB programming experience is helpful, but not necessary.

[Engineering Sciences 212. Quantitative Cell Biology: Self-Organization and Cellular Architecture]
Catalog Number: 30956
Daniel Joseph Needleman
Half course (fall term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
Cell biology - from foundations to current research topics. Intended for students without cell/molecular biology training. Cell architecture, molecular and phenomenological aspects, signaling, organelle form/function, trafficking, quantitative experimental techniques, models of cellular organization and dynamics.
Note: Expected to be given in 2013-14. Offered in alternate years.

Engineering Sciences 220. Fluid Dynamics
Catalog Number: 2759
L. Mahadevan
Half course (fall term). Tu., Th., 11:30-1 and a supplementary weekly meeting for problem discussion (or make-up sessions), M. at 3 pm. EXAM GROUP: 13, 14
Continuum mechanics; conservation of mass and momentum, energy; stress, kinematics, and constitutive equations; vector and tensor calculus. Dimensional analysis and scaling. Navier-Stokes equations, Reynolds number. Solutions for simple flow states. Low Reynolds number flows; porous media flows; lubrication theory; gravity currents. Inviscid flows, Kelvin circulation theorem, Bernoulli integrals, Vortical flows. Waves in fluids; acoustics, shocks, water waves. Airfoil theory. Boundary layers. Flow instabilities. Mixing, and turbulence in unbounded and bounded flows.
Prerequisite: Familiarity with dynamics, vectors, multivariable calculus, and partial differential equations. An undergraduate course in fluid dynamics or other continuum mechanics is strongly recommended.

[*Engineering Sciences 221. Drug Delivery]
Catalog Number: 8223 Enrollment: Limited to 30.
Debra T. Auguste
Half course (fall term). M., W., 2:30-4. EXAM GROUP: 7, 8
Methods to deliver molecules to the human body. Physiological obstacles and engineering solutions. Characterization techniques for drug delivery synthesis and in vitro analysis. Case studies of current pharmaceutical products.
Prerequisite: Mathematics 21a,b or Applied Mathematics 21a,b, and Chemistry 5 or Life Sciences 1a.

*Engineering Sciences 222. Advanced Cellular Engineering
Catalog Number: 0696
Neel S. Joshi
Half course (fall term). M., W., 10-12, and laboratory to be arranged. EXAM GROUP: 3, 4
Summary of the physical laws governing cellular homeostasis; role of the tissue microenvironment on cell life, death, and differentiation; control of cellular function and genetic programs by adhesion to substrates; signal transduction pathways and cellular metabolic control; mechanochemical and mechanoelectrical signal transduction; cell motility; clinical and industrial applications of engineered cells. The course will contain a laboratory section that will introduce students to basic cell culture techniques, micropatterning of extracellular matrix, and microfluidics. Students are expected to participate in all lecture and laboratory exercises. Assignments will include a presentation on a cellular engineering topic of their choosing, subject to instructor approval, with handouts, homework, and examination questions. Final projects will be based on either the completion of an original laboratory experiment or an NIH-style proposal of original research. Undergraduates may enroll in this course with approval from the instructor.
Prerequisite: Organic chemistry, cell biology, physics at the level of 11a.b. Suggested courses include molecular biology.

Catalog Number: 4136
Nancy Kleckner and Mara Prentiss
Half course (spring term). M., W., 1–5. EXAM GROUP: 6, 7, 8, 9
A project-oriented laboratory course which will integrate genetic, molecular, biochemical and cytological approaches from the life sciences with optical, magnetic and mechanical approaches from the physical sciences. Interesting and original experiments will be organized around a common theme which, this year, will be "Biomechanics of E. coli."
Note: Expected to be given in 2013-14. Intended primarily for first year graduate students in the EPB PhD track but available to other graduate students and advanced undergraduates as space and resources permit.

[Engineering Sciences 226r. Special Topics in Neural Engineering: Learning and Memory in Neural Systems]
Catalog Number: 3086
Maurice A. Smith
Half course (spring term). Tu., 2:30-5.
Course will present classical findings and new research that give insight into mechanisms of learning and memory formation in neural systems. Learning and memory will be studied both as neurobiological phenomena and as computational challenges.
Note: Offered in alternate years.
Prerequisite: Applied Mathematics 105a and 105b, probability and statistics.

*Engineering Sciences 227. Medical Device Design
Catalog Number: 73679 Enrollment: Limited to 16.
Conor J. Walsh
Half course (spring term). M., W., 2–3:30. EXAM GROUP: 7, 8
Project-based course on the design of medical devices to address needs identified by hospital-based clinicians. Students work in teams with physicians to develop a novel device. The design process includes: needs finding; problem identification; prior art searches; strategy and concept generation; estimation; sketching; sketch modeling; machine elements, ergonomics and prototyping.
Prerequisite: ES 51 or machine design experience. Graduate course, but open to qualified junior and senior undergraduates.

Engineering Sciences 228. Biomaterials
Catalog Number: 49617
Neel S. Joshi
Half course (spring term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
Overview of materials for biomedical devices and therapies. Polysaccharide- and protein-based polymers as building blocks. Biological templating of inorganic structures. Emerging frontiers in protein and DNA self-assembly. Molecular scale origin of materials properties for naturally occurring biological materials and the use of this information to rationally design new biomaterials for specific applications.
Prerequisite: Organic chemistry, cell biology, physics at the level of 11a.b. Suggested courses include molecular biology.

*Engineering Sciences 229. Survey of Energy Technology - (New Course)
Catalog Number: 94822
Michael J. Aziz
Half course (spring term). W., F., 2:30–4. EXAM GROUP: 7, 8
Principles governing energy generation and interconversion. Current and projected world energy use. Selected important current and anticipated future technologies for energy generation, interconversion, storage, and end usage.
Note: Graded sat/unsat only. Cannot be used for SEAS concentration credit. Students may not take both Engineering Sciences 229 and Engineering Sciences 231 for credit.
Prerequisite: Calculus of a single variable, one semester of college-level physics, and familiarity with chemistry at the high school advanced placement level.

Engineering Sciences 230. Advanced Tissue Engineering
Catalog Number: 5718
David J. Mooney
Half course (spring term). Tu., Th., 1-2:30; and a weekly lab meeting Tu., at 12. EXAM GROUP: 15, 16
Fundamental engineering and biological principles underlying field of tissue engineering, along with examples and strategies to engineer specific tissues for clinical use. Student design teams prepare a research proposal and participate in a weekly laboratory.
Prerequisite: Biochemistry or cell biology background.

*Engineering Sciences 231. Energy Technology
Catalog Number: 1486
Michael J. Aziz
Half course (spring term). W., F., 2:30-4. EXAM GROUP: 7, 8
Principles governing energy generation and interconversion. Current and projected world energy use. Selected important current and anticipated future technologies for energy generation, interconversion, storage, and end usage.
Note: Students may not take both Engineering Sciences 231 and Engineering Sciences 229 for credit.
Prerequisite: One semester of college-level calculus-based physics and familiarity with chemistry at the high school advanced placement level.

[Engineering Sciences 232. Understanding Manufacturing Technology and Industry Evolution: Seminar]
Catalog Number: 97585
Woodward Yang
Half course (fall term). Hours to be arranged.
Graduate seminar on historical evolution of steel, semiconductor, and auto industries and to explore relationships between manufacturing processes, technological innovations, and industry structure. Group project to analyze another major industry.
Note: Open to undergraduates by permission of instructor.
Prerequisite: Undergraduate level background in Physics, Chemistry, and/or Engineering and in Economics.

*Engineering Sciences 233a. Innovating in Health Care - (New Course)
Catalog Number: 67397
Margo I. Seltzer and Regina Herzlinger
Half course (fall term). Tu., 1:30–4:30; plus 3 hours of section M., W., 3–4:30. EXAM GROUP: 15, 16, 17, 18
This course helps students to create successful entrepreneurial health care ventures by enabling them to: 1) Identify the alignment between an entrepreneurial health care venture and the six forces that shape health care - structure, financing, technology, consumers, accountability, and public policy; and 2) Create a product and business model that responds appropriately to any misalignments. The course covers four modules: The analytic framework, case studies of the six forces, case studies of firms responses to the forces, and student presentation of business plans.
Note: Must be taken concurrently with ES233b. Offered jointly with the Business School as 8160.

*Engineering Sciences 233b. Health Care Computer-Assisted Innovations - (New Course)
Catalog Number: 59443
Margo I. Seltzer and Regina Herzlinger
Half course (fall term). M., W., 1:30–3, plus 1 hour of section Th. at 3. EXAM GROUP: 6, 7
This is a field study course in which students undertake significant external research in the in-depth development of a business plan for a health-care and technology business venture. Students will learn to develop such a business plan, evaluate and select appropriate technologies, define a new technology based product in the health-care space, and develop appropriate prototypes for presentation to customers and investors.
Note: Must be taken concurrently with ES233a. Offered jointly with the Business School as 5340.

Engineering Sciences 239. Advanced Innovation in Science and Engineering: Conference Course
Catalog Number: 8303
David A. Weitz, Paul Blake Bottino, and David S. Ricketts
Half course (fall term). M., at 2:30, W., 2:30–4:30. EXAM GROUP: 7, 8, 9
Students are expected to meet all the requirements of Engineering Sciences 139 and in addition are required to prepare an individual term project with significant analytic emphasis in an area of scientific or technological innovation.

Engineering Sciences 240. Solid Mechanics
Catalog Number: 2984
Joost J. Vlassak
Half course (fall term). M., W., F., at 10, and a weekly section to be arranged. EXAM GROUP: 3
Foundations of continuum mechanics, development of elasticity theory, and introduction to plasticity and creep. Elastic waves. Basic elasticity solutions. Variational principles.
Prerequisite: Applied Mathematics 105 (formerly Applied Mathematics 105b) or equivalent; introduction to solid mechanics at the level of Engineering Sciences 120, or Earth and Planetary Sciences 108 or 166, or Applied Physics 293.

Engineering Sciences 241. Advanced Elasticity
Catalog Number: 6711
Zhigang Suo
Half course (spring term). Tu., Th., 10-11:30.
Finite deformation; instabilities; thermodynamics; thermoelasticity; poroelasticity; electroactive polymers, hydrogels, polyelectrolyte gels
Note: Offered in alternate years.
Prerequisite: Engineering Sciences 240 and Applied Mathematics 201 or equivalents.

Engineering Sciences 242r. Solid Mechanics: Advanced Seminar
Catalog Number: 5379
Katia Bertoldi
Half course (spring term). Tu., Th., 1:30-3. EXAM GROUP: 15, 16
Finite elements for analysis and design. The key goal of this class is the application of the finite element method to classical and state-of-the-art modeling and design problems. We introduce a commercial finite element program - ABAQUS - and demonstrate how to use it in modeling and analysing design problems. Topics include the implementations of user-defined subroutines (UMAT and VUMAT), instability analyses, analysis of waves propagation, fluid-structure interactions.
Prerequisite: Engineering Sciences 240 or equivalent. To take this course, basic knowledge and general interest in finite elements, mathematics, strength of materials, structural and solid mechanics is highly recommended.

Engineering Sciences 246. Plasticity
Catalog Number: 4271
Zhigang Suo
Half course (fall term). Tu., Th., 2:30-4.
Phenomenological theories for strain hardening materials; flow and deformation theories. Variational principles and other general theorems. Mechanisms of plastic deformation, physical theories for strain hardening materials, and polycrystals. Ideal plasticity. Boundary value problems, plastic collapse, buckling of structures.
Prerequisite: Engineering Sciences 240, or equivalent.

[Engineering Sciences 247. Fracture Mechanics]
Catalog Number: 7152
Instructor to be determined
Half course (spring term). Hours to be arranged.
Fundamentals of fracture with applications in materials and structural mechanics. Micromechanics of fracture in ceramics, metals, and polymers. Fracture of composite materials. Interfacial fracture mechanics. Fatigue crack propagation.
Prerequisite: Engineering Sciences 240 or equivalent.

Engineering Sciences 249. Advanced Neural Control of Movement
Catalog Number: 3145
Maurice A. Smith
Half course (spring term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
Students expected to meet all of the requirements of Engineering Sciences 149 and in addition to submit a term project with significant analytic content.
Note: Offered in alternate years.
Prerequisite: Mathematics 21b or Applied Mathematics 21b or equivalent, probability and statistics, Physics 11a or equivalent.

[Engineering Sciences 250. Information Theory]
Catalog Number: 8606
Patrick J. Wolfe
Half course (fall term). Tu., Th., 1-2:30.
Fundamental concepts of information theory and applications to signal processing, communications, statistics. Entropy, differential entropy, mutual information; data compression and rate distortion theory; channel capacity, coding, the Gaussian channel. Contemporary research topics as time permits.
Prerequisite: Probability theory in Engineering Sciences 150, Statistics 110, or equivalent; or permission of instructor.

[Engineering Sciences 251r. Advanced Topics in Inference, Information, and Statistical Signal Processing]
Catalog Number: 3211
Patrick J. Wolfe
Half course (spring term). Tu., Th., 10-11:30.
Advanced machine learning, from the unifying perspective of inference and regularization. Statistical learning theory, kernel methods; connections to information theory and data compression. Model fitting and stochastic computation for high-dimensional and non-Euclidean data.
Note: Equal emphasis on theory, algorithms, and applications.
Prerequisite: Background equivalent to Computer Science 228, 281, or Engineering Sciences 201, or permission of instructor.

Engineering Sciences 252r (formerly Engineering Sciences 252). Advanced Topics in Robotics Research
Catalog Number: 0239
Robert D. Howe
Half course (spring term). Tu., Th., 11:30–1.
A graduate seminar course on advanced topics in robotics research. Students read and present research papers and undertake a research project. Spring 2013 will focus on robot design and manipulation.
Prerequisite: Engineering Sciences 159/259 or equivalent, or permission of instructor.

Engineering Sciences 255. Statistical Inference with Engineering Applications (formerly Detection and Estimation Theory and Applications)
Catalog Number: 9816
Yue Lu
Half course (fall term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
Statistical decision theory; hypothesis testing; linear and non-linear estimation; maximum likelihood and Bayes approaches; asymptotic methods in statistics; stochastic processes and systems; signal detection and estimation in noise; Wiener and Kalman filtering; Markov chain Monte-Carlo methods; applications to physical, chemical, and biological systems. Prerequisite: Knowledge of probability theory and calculus.
Prerequisite: Knowledge of probability theory and calculus.

Engineering Sciences 259. Advanced Introduction to Robotics
Catalog Number: 3671
Robert J. Wood
Half course (fall term). Tu., Th., 1-2:30. EXAM GROUP: 15, 16
Course requirements are similar to Engineering Sciences 159, with the exception that students enrolled in Engineering Sciences 259 are required to prepare a term project analyzing current research in a specific problem area within Robotics.
Note: Offered in alternate years.
Prerequisite: Computer Science 50 and either Engineering Sciences 125 or 156.

[Engineering Sciences 261. Design of Water Resource Systems]
Catalog Number: 3919
Peter P. Rogers
Half course (fall term). M., W., 3:30-5.
Design of evaluation and management systems for water resources. Uses techniques of operations research for planning integrated water resources systems. Applications to water supply, irrigation hydropower, environmental protection, and conservation of wildlife.
Note: Expected to be given in 2013-14. Offered in alternate years.
Prerequisite: Applied Mathematics 21b or Mathematics 21b or equivalent.

[Engineering Sciences 263. Microbial Geochemistry]
Catalog Number: 5384
Colleen M. Hansel
Half course (spring term). Th., 2-4:30. EXAM GROUP: 16, 17, 18
This course explores advanced concepts in microbe-metal-mineral interactions. Topics include microbial metabolism, bioenergetics, biomineralization, energy generation, and pollutant degradation, discussed within the context of Earth systems and environmental remediation.
Note: Expected to be given in 2013-14. Offered in alternate years.
Prerequisite: Knowledge of undergraduate level chemistry and microbiology required (minimum of Life Sciences 1a and Physical Sciences 1or equivalent courses) or permission of instructor.

[Engineering Sciences 264. Advanced Aqueous and Environmental Chemistry]
Catalog Number: 1726
Colleen M. Hansel
Half course (spring term). M., W., 1-2:30. EXAM GROUP: 6, 7
Content and requirements are similar to ES 164, with the exception that students enrolled in ES 264 are assigned more demanding problem sets and are required to prepare a term project or presentation in applied environmental chemistry.
Note: Cannot be taken for credit by students who have already taken ENG-SCI 164.
Prerequisite: Physical Sciences 1 or permission of the instructors.

[Engineering Sciences 265. Advanced Water Treatment]
Catalog Number: 20731
Chad D. Vecitis
Half course (spring term). M., W., 2:30-4. EXAM GROUP: 7, 8
Advanced Water Treatment will give students detailed instruction in emerging technologies for municipal wastewater treatment, industrial wastewater treatment, wastewater reclamation and reuse, desalination, and groundwater remediation. The course will begin by introducing wastewater quality, effluent water quality endpoints, and conventional treatment methodologies. The theoretical focus of the course will be on the fundamental biology, chemistry, and physics of processes including nanofiltration, reverse osmosis, membrane bioreactors, denitrification and phosphate removal, ozonolysis, UV photolysis, photocatalysis, and sonolysis. We will also discuss wastewater-to-energy processes including microbial fuel cells, anaerobic digestion, and electrochemical waste-to-hydrogen.
Note: Expected to be given in 2013-14. Offered in alternate years.
Prerequisite: Engineering Sciences 165

Engineering Sciences 267. Aerosol Science and Technology
Catalog Number: 4446
Scot T. Martin
Half course (fall term). Tu., Th., 11:30-1.
Physics and chemistry of aerosol particles. Concepts: size, shape, and density; number size distributions; uniform, accelerated, and Brownian motion; electrical properties; measurement instrumentation; condensation/evaporation; coagulation; and optical properties. Taught by reference to topical problems.
Note: Offered in alternate years.

[Engineering Sciences 268. Chemical Kinetics]
Catalog Number: 8711
Scot T. Martin
Half course (fall term). Tu., Th., 11:30-1. EXAM GROUP: 13, 14
Time rate of change of chemical species. Rate constants. Formulating a coupled chemical system. Numerical analysis of complex systems.
Note: Offered in alternate years.

Engineering Sciences 269. Environmental Nanotechnology
Catalog Number: 57068
Chad D. Vecitis
Half course (spring term). M., W., 2:30-4. EXAM GROUP: 7, 8
Introduces students to the environmental aspects of nanoscience and nanotechnology. We will study the fundamental physical chemical properties, characterization, environmental implications, and environmental applications of nanoparticles and nanomaterials. Case studies from recent publications on engineered carbon nanomaterials such as fullerenes, carbon nanotubes, and graphene will be discussed.
Prerequisite: College-level chemistry course or equivalent and Physical Sciences 1 or equivalent.

[Engineering Sciences 271r. Topics in Mixed-Signal Integrated Circuits]
Catalog Number: 1158
Gu-yeon Wei and David M. Brooks
Half course (fall term). M., W., 10-11:30. EXAM GROUP: 3, 4
A seminar course that reviews research and development of various topics in integrated circuits and systems for low-power and/or high-performance computing.
Prerequisite: Computer Science 148 or equivalent, and Computer Science 146 or equivalent, or with permission of instructor.

[Engineering Sciences 272. RF and High-Speed Integrated Circuits]
Catalog Number: 5157
Donhee Ham
Half course (spring term). Tu., Th., 10-11:30. EXAM GROUP: 12, 13
Design of RF and high speed integrated communication circuits at both transistor and system levels.
Prerequisite: Solid-state devices and analog circuits (Engineering Sciences 154 or equivalent), basic electromagnetism (Physics 11b or 15b or some part of Engineering Sciences 151 or equivalent), basic differential equations (Applied Mathematics 21b or equivalent), and Fourier analysis (some part of Applied Mathematics 105a or Engineering Sciences 156 or equivalent).

[Engineering Sciences 273. Optics and Photonics]
Catalog Number: 8382
Marko Loncar
Half course (fall term). M., W., 2:30-4. EXAM GROUP: 7, 8
Topics include: review of electromagnetism, negative index materials, optical beams and free-space optics, guided wave optics (including optical fiber), optical resonators, perturbation and couple mode theory, transfer matrix methods, periodic optical structures, plasmons, nonlinear optics.
Note: Open to graduate students and advanced undergraduates.

[Engineering Sciences 274. Quantum Technology I]
Catalog Number: 5645
Federico Capasso
Half course (spring term). W., F., 1-2:30. EXAM GROUP: 6, 7
Covers concepts of device physics, including semiconductors, photonic devices, related quantum concepts. Seminconductor heterostructures: band structure engineering. Quantum wells, superlattices; resonant tunneling; Stark effect. Diode lasers; quantum well lasers, modulators and detectors; quantum cascade lasers.
Note: Expected to be given in 2013-14.
Prerequisite: Undergraduate level quantum mechanics such as Physics 143a or equivalent.

[Engineering Sciences 275. Nanophotonics]
Catalog Number: 9815
Kenneth B. Crozier
Half course (fall term). Tu., Th., 1-2:30. EXAM GROUP: 15, 16
Recent developments in micro- and nano-photonic materials, devices and microscopy. Computational electromagnetics. Photonic crystals. Optical properties of metal nanostructures. Optical forces. Scanning near-field optical microscopy. Term-long research project.
Note: Expected to be given in 2013-14. Open to graduate students and advanced undergraduates.
Prerequisite: Electromagnetism (Physics 11b or 15b or Engineering Sciences 151 or equivalent).

Engineering Sciences 277. Microfabrication Laboratory - (New Course)
Catalog Number: 48852
Kenneth B. Crozier 
Half course (spring term). M., at 10, and weekly 3-hour laboratory. EXAM GROUP: 3
alf course Content and requirements are similar to ENG-SCI 177, with the exception that students enrolled in ENG-SCI 277 are assigned more demanding problem sets and are required to prepare a term project.
Prerequisite: Physics 11a and Physics 11b; or Physics 15a and 15b or equivalent.

*Engineering Sciences 276. Introduction to MicroElectroMechanical System
Catalog Number: 54441 Enrollment: Limited to 25.
Fawwaz Habbal and Anas Chalah
Half course (fall term). Tu., 5:30-7:30 p.m. EXAM GROUP: 18
This course introduces student to the rapidly emerging, multi-disciplinary and exciting field of MicroElectroMechanical Systems (MEMS). It teaches fundamentals of micro machining and Micro fabrication techniques, including planar thin-film process technologies, photolithography and soft-lithography techniques, deposition and etching techniques, and surface, bulk, and electroplating micro machining technologies.
Prerequisite: Physics 11a,b or 15a,b; College Chemistry at the level of Life Sciences 1a and Physical Sciences 1.

Engineering Sciences 298r. Quantum Electronics and Photonics
Catalog Number: 28719
Amirhamed Majedi
Half course (spring term). M., F., 11–12:30. EXAM GROUP: 4, 5
This course is designed for engineers who are interested to learn applied quantum mechanics to study quantum behavior of electron, photon and their interaction. The course content is a mix of topics usually covered in more conventional courses such as quantum electronics and quantum optics to invite a wide range of audiences who are working on areas such as optoelectronics, quantum photonics, nanoelectronics, nanophotonics, spintronics, and in general quantum devices and systems. The course emphasizes on the fundamental concepts and engineering applications without a need for previous exposure to quantum mechanics. Examples and problems are designed to address the applications of the course contents to real problems.
Note: Cannot be taken for credit by students who have taken ENG-SCI 298 in Spring 2012.

Engineering Sciences 299r. Special Topics in Engineering Sciences
Catalog Number: 6710
Gu-yeon Wei
Half course (fall term; repeated spring term). Hours to be arranged.
Supervision of experimental or theoretical research on acceptable engineering and applied science problems and supervision of reading on topics not covered by regular courses of instruction.
Note: Open to graduate students and AB/SM candidates only. Students must arrange such work with a member of the School of Engineering and Applied Sciences. This course is graded and is ordinarily taken with the approval of the Committee on Higher Degrees. Applicants must file a project sheet before study cards are filed. Project sheets may be obtained from the Student Affairs Office, Pierce Hall 110.

Cross-listed Courses

*Earth and Planetary Sciences 231. Climate Dynamics
[Systems Biology 205. Synthetic Biology]

Additional courses of interest to graduate students in Environmental Science and Engineering might include courses offered at the Harvard School of Public Health.

Graduate Courses of Reading and Research

Reading courses are odd-numbered; research courses are even-numbered.

Catalog Number: 7403,4838
Kenneth B. Crozier 5146

*Engineering Sciences 303,304. Topics in Electronic Materials and Semiconductor Heterostructure Physics
Catalog Number: 8668,2824
Venkatesh Narayanamurti 5445 (on leave 2012-13)

*Engineering Sciences 307,308. Control Theory, Robotics, Computer Vision, and Intelligent Machines
Catalog Number: 7566,2719
Roger W. Brockett 3001

*Engineering Sciences 309,310. Design, Sensing, and Control
Catalog Number: 5043,7419
Robert D. Howe 2789

*Engineering Sciences 311,312. Systems and Control, Quantum Information and Quantum Control, Computational Vision, Image Analysis and Understanding
Catalog Number: 2025,9377
Navin Khaneja 4192

*Engineering Sciences 313,314. Image Processing and Computer Vision
Catalog Number: 4254,8534
Todd Zickler 5143

*Engineering Sciences 315,316. Wireless Computing and Networking
Catalog Number: 2848,2849
H. T. Kung 3155

*Engineering Sciences 319,320. Microrobotics and Bio-inspired Autonomous Robotic Systems
Catalog Number: 5306,5314
Robert J. Wood 5339

*Engineering Sciences 321,322. Heterogeneous Nanophotonic Devices and Bio-templated Electronic Materials
Catalog Number: 85105,33583
Evelyn Hu 6682

*Engineering Sciences 323,324. Materials Processing
Catalog Number: 1174,5484
  Jennifer Lewis 7229

Engineering Sciences 325,326. Mixed-Signal VLSI Design
Catalog Number: 8415,9336
Gu-yeon Wei 4102

*Engineering Sciences 327,328. Circuit Design and Scientific Instrumentation
Catalog Number: 4901,6521
Paul Horowitz 3537

*Engineering Sciences 329,330. Biological Signal Analysis and Tomography
Catalog Number: 4111,7427
Vahid Tarokh 4368

*Engineering Sciences 331,332. RF/Microwave/Analog/Mixed-Signal Integrated Circuits and Ultrafast Electronics
Catalog Number: 9645,9655
Donhee Ham 4519

*Engineering Sciences 333,334. Mechanics and Materials in Small Structures
Catalog Number: 6528,5449
Zhigang Suo 4761

*Engineering Sciences 335,336. Mechanics of Engineering Materials and Small Devices
Catalog Number: 8173,2399
Joost J. Vlassak 3184

*Engineering Sciences 337,338. Mechanics of Solids and Fluids: Earthquake Seismology and Environmental Geomechanics
Catalog Number: 4316,3948
James R. Rice 7270 (on leave fall term)

*Engineering Sciences 339,340. Materials Physics and Engineering
Catalog Number: 39784,54891
David R. Clarke 6684

*Engineering Sciences 341,342. Mechanics of Soft Materials
Catalog Number: 39227,54334
Katia Bertoldi 6440

*Engineering Sciences 343,344. Deformation and Fracture of Materials
Catalog Number: 3907,2803
John W. Hutchinson 1573

*Engineering Sciences 345,346. Neural Control of Movement
Catalog Number: 6002,6007
Maurice A. Smith 5342

*Engineering Sciences 347,348. Biomolecular Engineering, Molecular Self-Assembly and Responsive Materials
Catalog Number: 84569,90749
Neel S. Joshi 6595

*Engineering Sciences 349,350. Materials Science
Catalog Number: 90856,39334
Roy G. Gordon 1353

*Engineering Sciences 351,352. Engineering Mammalian Cell Phenotype
Catalog Number: 4879,6421
David J. Mooney 4879

*Engineering Sciences 353,354. Cellular Biophysics
Catalog Number: 3813,3798
Kevin K. Parker 4788

*Engineering Sciences 355,356. Bioinspired Engineering - (New Course)
Catalog Number: 94599,47624
Donald E. Ingber 2832
 
*Engineering Sciences 357,358. Atmosphere-Biosphere Interactions
Catalog Number: 7661,8060
Steven C. Wofsy 4396

*Engineering Sciences 359,360. Stratospheric Chemistry and Transport
Catalog Number: 8410,6856
Steven C. Wofsy 4396

*Engineering Sciences 361,362. Atmospheric Chemistry
Catalog Number: 7238,7514
Daniel J. Jacob 1781

*Engineering Sciences 363,364. Dynamic Meterology
Catalog Number: 3756,3757
Brian F. Farrell 7628

*Engineering Sciences 365,366. Topics in Atmospheric and Climate Dynamics
Catalog Number: 3233,3236
Zhiming Kuang 5285

*Engineering Sciences 367,368. Environmental Science
Catalog Number: 6773,9810
Michael B. McElroy 2462

*Engineering Sciences 369,370. Urban and Regional Systems Analysis
Catalog Number: 8775,8768
Peter P. Rogers 2804

*Engineering Sciences 371,372. Environmental Microbiology
Catalog Number: 6258,3885
Colleen M. Hansel 5609

*Engineering Sciences 373,374. Water Management
Catalog Number: 63797,12275
John Briscoe 6683

*Engineering Sciences 375,376. Environmental Biology
Catalog Number: 3985,2863
Ralph Mitchell 1587

*Engineering Sciences 377,378. Transport Phenomena and Biomaterials for Drug Delivery
Catalog Number: 6385,8671
David A. Edwards 3919

*Engineering Sciences 381,382. Environmental Nanotechnology
Catalog Number: 69441,17919
Chad D. Vecitis 6609

*Engineering Sciences 389,390. Environmental Chemistry
Catalog Number: 6660,1639
Scot T. Martin 3365

*Engineering Sciences 393,394. Microelectronics and VLSI Systems
Catalog Number: 6037,6056
Woodward Yang 2790 (on leave 2012-13)

*Engineering Sciences 395,396. Nanoscale Optics, NEMS and Nanofabrication Technology
Catalog Number: 2564,3687
Marko Loncar 5703

*Engineering Sciences 397,398. Multidimensional Signal Processing, Sensor Networks, and Computational Imaging
Catalog Number: 78552,93659
Yue Lu 6750

Cross-listed Courses