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

Beth Altringer, Visiting Lecturer on Engineering Sciences
Donald G. M. Anderson, Gordon McKay Professor of Applied Mathematics (on leave spring term)
James G. Anderson, Philip S. Weld Professor of Atmospheric Chemistry
Debra T. Auguste, Assistant Professor of Biomedical Engineering on the Gordon McKay Endowment
Michael J. Aziz, Gene and Tracy Sykes Professor of Materials and Energy Technologies (on leave fall term)
Katia Bertoldi, Assistant Professor of Applied Mechanics
Sujata K. Bhatia, Lecturer on Biomedical Engineering (Assistant Director of Undergraduate Studies in Biomedical Engineering)
John Briscoe, Gordon McKay Professor of the Practice of Environmental Engineering in the School of Engineering and Applied Sciences and Professor of the Practice of Environmental Health (School of Public Health)
Roger W. Brockett, An Wang Professor of Electrical Engineering and Computer Science (on leave 2011-12)
Federico Capasso, Robert L. Wallace Professor of Applied Physics and Vinton Hayes Senior Research Fellow in Electrical Engineering
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
Cornelia Dean, Visiting Lecturer on Engineering Sciences
David A. Edwards, Gordon McKay Professor of the Practice of Biomedical Engineering
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
Colleen M. Hansel, Associate Professor of Environmental Microbiology
Paul Horowitz, Professor of Physics and of Electrial Engineering, Professor of Physics and of Electrial Engineering, Emeritus (on leave 2011-12)
Robert D. Howe, Abbott and James Lawrence Professor of Engineering, Area Dean for Bioengineering (on leave 2011-12)
Evelyn Hu, Gordon McKay Professor of Applied Physics and of Electrical Engineering, Area Dean for Electrical Engineering (Director of Undergraduate Studies and of Graduate Studies in Engineering Sciences)
John W. Hutchinson, Abbott and James Lawrence Professor of Engineering and Gordon McKay Professor of Applied Mechanics
Donald E. Ingber, Professor of Bioengineering
Daniel J. Jacob, Vasco McCoy Family Professor of Atmospheric Chemistry and Environmental Engineering (on leave fall term)
Neel S. Joshi, Assistant Professor of Chemical and Biological Engineering (Director of Undergraduate Studies in Biomedical Engineering)
Navin Khaneja, Gordon McKay Professor of Electrical Engineering
David J. Knezevic, Lecturer on Computational Science
Zhiming Kuang, Associate Professor of Earth and Planetary Sciences
H. T. Kung, William H. Gates Professor of Computer Science and Electrical Engineering
Marko Loncar, Associate Professor of Electrical Engineering
Yue Lu, Assistant Professor of Electrical Engineering
Vinothan N. Manoharan, Associate Professor of Chemical Engineering and of Physics
Scot T. Martin, Gordon McKay Professor of Environmental Chemistry
Michael B. McElroy, Gilbert Butler Professor of Environmental Studies
Daniel M. Merfeld, Associate Professor of Otology and Laryngology (Medical School)
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 (Director of Graduate Studies, Biomedial Engineering))
Venkatesh Narayanamurti, Benjamin Peirce Professor of Technology and Public Policy
Daniel Joseph Needleman, Assistant Professor of Applied Physics
Kevin K. Parker, Thomas D. Cabot Associate Professor of Applied Science
Shriram Ramanathan, Associate Professor of Materials Science
James R. Rice, Mallinckrodt Professor of Engineering Sciences and Geophysics
Peter P. Rogers, Gordon McKay Professor of Environmental Engineering (on leave 2011-12)
Daniel P. Schrag, Sturgis Hooper Professor of Geology and Professor of Environmental Science and Engineering
Margo I. Seltzer, Herchel Smith Professor of Computer Science (on leave 2011-12)
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
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 (on leave 2011-12)
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 (Director of Graduate Studies in Materials Science and Mechanical 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 (Director of Graduate Studies in Environmental Science and Engineering)
Patrick J. Wolfe, Associate Professor of Electrical Engineering on the Gordon McKay Endowment (on leave fall term)
Robert J. Wood, Associate Professor of Electrical Engineering
Woodward Yang, Gordon McKay Professor of Electrical Engineering and Computer Science
Todd Zickler, Gordon McKay Professor of Electrical Engineering and Computer Science

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

*Engineering Sciences 1. Introduction to Engineering Sciences
Catalog Number: 0314
Kenneth B. Crozier; 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.
Note: 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, and Anas Chalah 
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 40.
David A. Edwards and Beth Altringer
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 "Virtual Worlds."
Note: Open to all students by permission of instructor.

*Engineering Sciences 21. The Innovator’s Practice: Finding, building and leading good ideas - (New Course)
Catalog Number: 70925 Enrollment: Limited to 25. Permission of instructor required.
Beth Altringer
Half course (fall term). M., W., 2–4. EXAM GROUP: 7, 8
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 50. Introduction to Electrical Engineering
Catalog Number: 4499
Marko Loncar
Half course (spring term). M., W., F., at 2. EXAM GROUP: 7
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.
Conor J. Walsh and Samuel Benjamin Kesner (spring 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., 1-2:30, and three hours per week of laboratory to be arranged. EXAM GROUP: 16, 17
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
Joost J. Vlassak and Marie D. Dahleh
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 96. Engineering Problem Solving and Design Project
Catalog Number: 8461 Enrollment: Limited to 40. Limit 20 per section
Woodward Yang, David J. Mooney, Kevin K. Parker, and Fawwaz Habbal 
Half course (spring term). Section 1: M., Th., 4-6; Section 2: T., F., 11-1 . EXAM GROUP: 9, 18
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.

*Engineering Sciences 100. Engineering Design Projects
Catalog Number: 4268
Robert J. Wood
Half course (fall term; repeated spring term). 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. 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 faculty Engineering Design Review Board.
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 faculty Engineering Design Review Board.
Prerequisite: *Engineering Sciences 96.

[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: Expected to be omitted in 2011–12. Expected to be given in 2012–13. 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 122. Cellular Engineering
Catalog Number: 8439
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.
Prerequisite: Organic chemistry, cell biology, physics, and mathematics at the level of Applied Mathematics 21 or Mathematics 21. Suggested courses include inorganic chemistry and molecular biology.

*Engineering Sciences 123. Introduction to Fluid Mechanics and Transport Processes
Catalog Number: 8323 Enrollment: Limited to 48. 
Edward Ahn
Half course (spring term). M., W., 8:30-10, and laboratory. EXAM GROUP: 1, 2
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-fredom 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).
Prerequisite: Engineering Sciences 120 or equivalent introduction to the mechanics of deformable materials and fluids. Engineering Sciences 123 may be taken concurrently.

Engineering Sciences 130. Tissue Engineering
Catalog Number: 3169
Debra T. Auguste
Half course (spring term). Tu., Th., 1-2:30, and a weekly lab. 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. Students will prepare a paper in the field of tissue engineering, and participate in a weekly laboratory in which they will learn and use methods to fabricate materials and perform 3-D cell culture.
Prerequisite: Biochemistry or cell biology background.

Engineering Sciences 135. Physics and Chemistry: In the Context of Energy and Climate at the Global and Molecular Level - (New Course)
Catalog Number: 98766 Enrollment: Limited to 30.
James G. Anderson
Half course (fall term). M., W., 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
Half course (fall term). M., W., 2:30–4. EXAM GROUP: 7, 8
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 145. Physiological Systems Analysis
Catalog Number: 8197
Daniel M. Merfeld (Medical School)
Half course (fall term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
A survey of systems theory with applications from bioengineering and physiology. Analysis: differential equations, linear and nonlinear systems, stability, the complementary nature of time and frequency domain methods, feedback, and biological oscillations. Applications: nerve function, muscle dynamics, cardiovascular regulation. Laboratory: neural models, feedback control systems, properties of muscle, cardiovascular function.
Prerequisite: Applied Mathematics 21b or Mathematics 21b or equivalent. Physiology at the level of Engineering Sciences 53 suggested.

[Engineering Sciences 149. Neural Control of Movement]
Catalog Number: 0440
Maurice A. Smith
Half course (spring term). Tu., Th., 10–11:30.
Approaches from robotics, control theory, and neuroscience for understanding biological motor systems. Analytical and computational modeling of muscles, reflex arcs, and neural systems that contribute to motor control in the brain. Focus on understanding how the central nervous system plans and controls voluntary movement of the eyes and limbs. Learning and memory; effects of variability and noise on optimal motor planning and control in biological systems.
Note: Expected to be omitted in 2011–12. Expected to be given in 2012–13. Offered in alternate years.
Prerequisite: Mathematics 21b or Applied Mathematics 21b or equivalent, probability and statistics, Physics 11a or equivalent.

Engineering Sciences 150. Introduction to Probability with Engineering Applications
Catalog Number: 8997
Yue Lu
Half course (spring term). T., Th., 11:30–1. EXAM GROUP: 7, 8
This course introduces students to probability theory and statistics, and their applications in communications, signal processing, networking and computer engineering. 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 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
Robert J. Wood
Half course (spring term). Tu., Th., 10-11:30, and weekly one hour Matlab section and one hour problem section to be arranged.
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.
Note: Expected to be given in 2012–13.
Prerequisite: Applied Mathematics 21b or Mathematics 21b.

[Engineering Sciences 159. Introduction to Robotics]
Catalog Number: 3126
Robert J. Wood
Half course (spring term). Tu., Th., 1–2:30.
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: Expected to be omitted in 2011–12. Expected to be given in 2012–13.
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.
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
Colleen M. Hansel and Scot T. Martin
Half course (fall 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, Anas Chalah, and Colleen M. Hansel
Half course (fall term). T., Th., 11:30–1. EXAM GROUP: 13,  14
Introduces engineering technologies for the control of the environment and relates them to underlying scientific principles. Efficient design of environmental management facilities and systems. Cases from aquatic, terrestrial, and atmospheric environments discussed.
Note: For undergraduates or graduates without background in environmental engineering.
Prerequisite: Exposure to the material in Applied Mathematics 21a or 21b or equivalent.

Engineering Sciences 173. Introduction to Electronic and Photonic Devices
Catalog Number: 3490
Evelyn Hu
Half course (spring term). W., F., 1–2:30.
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.

[Engineering Sciences 174. Photonic and Electronic Device Laboratory]
Catalog Number: 3178
Kenneth B. Crozier
Half course (spring term). M., at 9, and a weekly 3-hour lab.
Physics and fabrication of photonic and electronic devices. Laboratory experiments and lectures on semiconductor lasers, photodetectors and optical fibers. Students use cleanroom to fabricate MOSFETs. Fabrication lectures on lithography, deposition, etching, oxidation, implantation, diffusion and electrical characterization. Suitable for undergraduate and graduate students wishing to gain fabrication experience.
Note: Expected to be given in 2012–13.
Prerequisite: Physics 11a and Physics 11b; or Physics 15a and 15b.

*Engineering Sciences 176. Introduction to MicroElectroMechanical System
Catalog Number: 20243 Enrollment: Limited to 25.
Fawwaz Habbal  and Anas Chalah
Half course (fall term). Th., 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 181. Engineering Thermodynamics
Catalog Number: 3889
Zhigang Suo
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Introduction to engineering thermodynamics with emphasis on classical thermodynamics. Topics: zeroth law and temperature. Properties of single-component gases, liquids, and solids; steam tables. Equations of state for ideal and simple nonideal substances. First law, heat and heat transfer, work, internal energy, enthalpy. Second law, entropy, free energy. Third law. 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. Laboratory included.
Prerequisite: Physics 11 or 15 and Applied Mathematics or Mathematics 21; chemistry at the level of a good secondary school course or Chemistry 5.

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: 7, 8
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.

Cross-listed Courses

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]

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.

Engineering Sciences 201. Decision Theory
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
Navin Khaneja
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
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
This course offers the necessary tools for scientists and engineers to communicate their work to policy makers and ordinary people in ways that increase public understanding. The focus is on writing.

[Engineering Sciences 209. Nonlinear Control Systems]
Catalog Number: 1194
Roger W. Brockett
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.
Note: Expected to be given in 2012–13.

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.
Note: Expected to be given in 2012–13.
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.

Engineering Sciences 220. Fluid Dynamics
Catalog Number: 2759
James R. Rice
Half course (fall term). M., W., F., at 9 and a supplementary weekly meeting for problem discussion (or make-up sessions), tentatively W. at 5:30 pm. EXAM GROUP: 2
Continuum mechanics fundamentals for fluids; conservation of mass and momentum, thermodynamics; stress, kinematics, and constitutive equations; vector and tensor calculus as required. Dimensional analysis and scaling, drag forces, Reynolds number. Navier-Stokes equations, solutions for simple flow states. Low Reynolds number flows; seepage; electroosmosis; lubrication theory. Euler inviscid equations, Kelvin circulation theorem and Bernoulli integrals; gravity waves, effective mass, depth-averaged flow models, large scale Coriolis effects. Compressible fluids and shock waves. Airfoil theory, conformal maps. Boundary layer concepts. Flow instabilities including thermal convection. Turbulence and shear resistance in wall-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 (spring 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.
Note: Expected to be given in 2012–13.
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., 1–3, and laboratory to be arranged. EXAM GROUP: 6, 7
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, and mathematics at the level of Applied Mathematics 21 or Mathematics 21. Suggested courses include inorganic chemistry and molecular biology.

Engineering Sciences 224. Laboratory in Engineering and Physical Biology
Catalog Number: 4136
Nancy Kleckner
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: 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). W., 4–6:30. EXAM GROUP: 9
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). Tu., Th., 3:30–5. EXAM GROUP: 17, 18
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, ES 96 or machine design experience. Graduate course, but open to qualified junior and senior undergraduates.

Engineering Sciences 228. Biomaterials - (New Course)
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 (1 semester), Molecular biology, Physics at the level of Physics 11a,b. Mathematics at the level of Applied Math 21 or Mathematics 21.

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 Enrollment: Limited to 35.
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.
Prerequisite: One semester of calculus based college 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 233. Health Care Computer-Assisted Innovations - (New Course)
Catalog Number: 63015 Enrollment: Requires a faculty signature
Margo Seltzer and Regina Herzlinger
Half course (fall term). Tu., 3–4:30.
This course provides a hands-on approach to work at the intersection of technology, business, and health care. Students will work in teams to prepare a business plan and working prototype of a device or IT application in the domain of health care.
Note: Offered jointly with the Business School as 6180.

Engineering Sciences 239. Advanced Innovation in Science and Engineering: Conference Course
Catalog Number: 8303
David A. Weitz
Half course (fall term). M., W., 2:30–4. EXAM GROUP: 7, 8
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: Expected to be given in 2012–13. Offered in alternate years.
Prerequisite: Engineering Sciences 240 and Applied Mathematics 201 or equivalents.

Engineering Sciences 242r. Solid Mechanics: Advanced Seminar
Catalog Number: 5379
John W. Hutchinson
Half course (spring term). Tu., Th., 1:30–3. EXAM GROUP: 15, 16
Topic: Beams, Plates and Shells. Equations governing the linear and nonlinear behavior of these structures will be derived and investigations will be made of how these structures deform, vibrate and buckle.
Prerequisite: Engineering Sciences 240 or equivalent.

[Engineering Sciences 246. Plasticity]
Catalog Number: 4271
Joost J. Vlassak
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.
Note: Expected to be given in 2012–13.
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.
Note: Expected to be given in 2012–13.
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.
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: Expected to be given in 2012–13. 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.
Note: Expected to be given in 2012–13.
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: Expected to be given in 2012–13. 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 252. Micro/Nano Robotics]
Catalog Number: 0239
Robert J. Wood
Half course (fall term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Motivations and methods for the development of robotic devices on the micro and nano scale. Topics include sensors, actuators, fabrication paradigms, and the physics of scaling. Examples from surgical robotics, mobile microrobots, and micro/nano manipulation.

Engineering Sciences 255. 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; stochastic processes and systems; signal detection and estimation in noise; Wiener and Kalman filtering; applications to physical, chemical, and biological systems.
Prerequisite: Knowledge of probability theory and calculus.

[Engineering Sciences 259. Advanced Introduction to Robotics]
Catalog Number: 3671
Robert J. Wood
Half course (spring term). Tu., Th., 1–2:30.
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: Expected to be given in 2012–13.
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 2012–13. 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: 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). W., 4–7 p.m. EXAM GROUP: 9
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 - (New Course)
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.
Prerequisite: Engineering Sciences 165.

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., 4:30–6. EXAM GROUP: 9
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: 6, 7
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.
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: Open to graduate students and advanced undergraduates.
Prerequisite: Electromagnetism (Physics 11b or 15b or Engineering Sciences 151 or equivalent).

*Engineering Sciences 276. Introduction to MicroElectroMechanical System - (New Course)
Catalog Number: 54441 Enrollment: Limited to 25.
Fawwaz Habbal and Anas Chalah
Half course (fall term). Th., 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 - (New Course) 
Catalog Number: 28719
Amirhamed Majedi
Half course (spring term). M., W., 10–11:30. EXAM GROUP: 3, 4
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.

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 202. Mechanics in Earth and Environmental Science

[*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.

*Engineering Sciences 301,302. Nanophotonics
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

*Engineering Sciences 307,308. Control Theory, Robotics, Computer Vision, and Intelligent Machines
Catalog Number: 7566,2719
Roger W. Brockett 3001 (on leave 2011-12)

*Engineering Sciences 309,310. Design, Sensing, and Control
Catalog Number: 5043,7419
Robert D. Howe 2789 (on leave 2011-12)

*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. Statistical Signal Processing
Catalog Number: 1174,5484
Patrick J. Wolfe 5144 (on leave fall term)

*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 (on leave 2011-12)

*Engineering Sciences 329,330. Wireless Communication and Networking
Catalog Number: 4111,7427
Vahid Tarokh 4368 (on leave 2011-12)

*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

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

*Engineering Sciences 349,350. Materials Science - (New Course)
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 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 (on leave fall term)

*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 (on leave 2011-12)

*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 379,380. Biomaterials
Catalog Number: 2354,0313
Debra T. Auguste 5615

*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

*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