Engineering and Applied Science

Dunham Laboratory, 432.4250
M.Eng., M.S., M.Phil., Ph.D.

Dean
Paul Fleury

Director of Graduate Studies
Alessandro Gomez (432.4252, grad-engineering@yale.edu)

Programs of study are offered in the areas of applied mechanics and mechanical engineering, applied physics, chemical engineering, electrical engineering, biomedical engineering, and environmental engineering. All programs are under the Faculty of Engineering.

Applied Physics

Chair
A. Douglas Stone

Professors
William Bennett, Jr. (Emeritus), Richard Chang, Joseph Dillon, Jr. (Adjunct), Paul Fleury, John Gore, Robert Grober, Victor Henrich, Arvid Herzenberg (Emeritus), Pierre Hohenberg (Adjunct, Physics), Marshall Long, Tso-Ping Ma, Daniel Prober, Nicholas Read, Mark Reed, Subir Sachdev, Ramamurty Shankar, Mitchell Smooke, Katepalli Sreenivasan, A. Douglas Stone, John Tully, Robert Wheeler (Emeritus), Werner Wolf, Jerry Woodall

Associate Professors
Adam Anderson, Sean Barrett, Mark Kasevich

Assistant Professors
Charles Ahn, Janet Pan, Robert Schoelkopf

Fields of Study
Fields include areas of theoretical and experimental condensed-matter physics, optical and laser physics, and material physics. Specific programs include surface science, microlithography and quantum transport, optical properties of micro-cavities, spectroscopy at the nanoscale, near-field microscopy, atomic force microscopy and ferro-electronic materials, molecular beam epitaxy, magnetic resonance imaging, and medical instrumentation.

Chemical Engineering

Chair
Lisa Pfefferle

Professors
F. Peter Boer (Adjunct), Daniel Crothers (Adjunct, Chemistry), Menachem Elimelech, Thomas Graedel, Gary Haller, William Hancock (Adjunct), Csaba Horváth, Lisa Pfefferle, Joseph Pignatello (Adjunct), Daniel Rosner, L. Lee Wikstrom (Adjunct), Kurt Zilm (Adjunct, Chemistry)

Associate Professors
Eric Altman, Gaboury Benoit, Michael Loewenberg, John Walz

Assistant Professors
Roger Ely, Marshall Grant

Fields of Study
Fields include combustion, separation processes, catalysis, statistical mechanics of adsorption, high-temperature chemical reaction engineering, convective heat and mass transfer, chromatography, biochemical and biomedical engineering, molecular beams, aerosol science and technology, surface science, and biotechnology.

Electrical Engineering

Chair
Mark Reed

Professors
Richard Barker (Emeritus), Andrew Barron, Richard Chang, W. J. Cunningham (Emeritus), James Duncan, Peter Kindlmann (Adjunct), Roman Kuc, Tso-Ping Ma, A. Stephen Morse, Kumpati Narendra, Mark Reed, Peter Schultheiss (Emeritus), J. Rimas Vaisnys, Jerry Woodall, Steven Zucker

Associate Professors
Peter Belhumeur, Jung Han, Lawrence Staib, Hemant Tagare

Assistant Professors
Daniel Friendly, Dana Henry, Richard Lethin (Adjunct), Yiorgos Makris, Janet Pan

Fields of Study
Fields include control systems, neural networks, communications and signal processing, intelligent sensors, biomedical image processing, microelectronic materials and devices, nanoelectronic science and technology, optoelectronics, computer engineering, VLSI design and routing, computer vision and image processing, and robotics.

Mechanical Engineering

Chair
Marshall Long

Professors
Robert Apfel, Ira Bernstein, Boa-Teh Chu, Juan Fernández de la Mora, Alessandro Gomez, Robert Gordon, Amable Liñan-Martinez (Adjunct), Marshall Long, Lisa Pfefferle, Daniel Rosner, Ronald Smith, Mitchell Smooke, Katepalli Sreenivasan, George Veronis, Peter Wegener (Emeritus), Forman Williams (Adjunct)

Associate Professor
Wei Tong

Assistant Professors
Jerzy Blawzdziewicz, David Wu, Bjong Yeigh (Adjunct)

Lecturers
Beth Anne Bennett, Natalie Jeremijenko, Kailasnath Purushothaman, Glenn Weston-Murphy

Fields of Study
Mechanics of Fluids: Acoustics and bioeffects of ultrasound; bulk and surface properties of liquids (including metastable liquids, radiation-induced bubble formation, and surfactant-induced effects); dynamics and stability of drops and bubbles; experimental, theoretical, and computational studies of turbulence; chaos; fractals; aerodynamics; kinetic theory of gases and mixtures; electrospray theory and characterization; combustion and flames; computational methods for fluid dynamics and reacting flows; laser diagnostics of reacting and nonreacting flows; atmospheric turbulence, climate, theoretical and laboratory modeling of large-scale ocean circulation.

Mechanics of Solids/Material Science: Mechanisms of deformation, mass transport, and nucleation within material systems through experimental, analytic, and computational studies. Examples of projects include mechanical testing of small-scale structures; characterization of microscale inhomogeneities in plastic flow; impact loading of materials; diffusion of dopants within semiconductor films; evolution of surface roughness during plastic deformation; ion implantation-induced disorder in crystalline films; incorporation of microstructural information into constitutive laws; biomechanics of the heart; electromigration in metallic interconnects; and transient nucleation in multicomponent systems.

Program in Biomedical Engineering

Professors
Robert Apfel, James Duncan, John Gore, Robert Grober, Csaba Horváth, Steven Segal, Frederick Sigworth, Steven Zucker

Associate Professors
Adam Anderson, Lawrence Staib, Hemant Tagare

Assistant Professor
Jacek Cholewicki

Fields of Study
Fields include the physics of image formation (MRI, ultrasound, nuclear medicine, and X-ray), digital image analysis and processing, computer vision, biological signals and sensors, biomechanics, physiology and human factors engineering, biotechnology, biochemical engineering, and tissue engineering.

Program in Environmental Engineering

Professors
Robert Berner, F. Peter Boer (Adjunct, Chemical Engineering), Menachem Elimelech, Thomas Graedel, Lisa Pfefferle, Joseph Pignatello (Adjunct, Chemical Engineering), Daniel Rosner, Karl Turekian

Associate Professors
Gaboury Benoit, John Walz

Assistant Professors
Ruth Blake, Roger Ely, James Saiers

Lecturers
Sheryl Stuart, James Wallis

Fields of Study
Fields include physical and chemical processes for water quality control, aquatic and environmental chemistry, transport and fate of chemical substances in the environment, colloidal and interfacial phenomena in aquatic systems, environmental engineering microbiology, membrane separation processes, biological processes and bioremediation, aerosol science and technology, incineration of toxic wastes, industrial ecology, geochemistry and bio-geochemistry, adsorption and desorption of organic pollutants in soils and groundwater, geochemical cycles and the global environment, and chemical reactions at the mineral-water interface.

Special Requirements for the Ph.D. Degree
The student plans his/her course of study in consultation with faculty advisers (the student's advisory committee). A minimum of twelve term courses is required, normally completed in the first two years. Mastery of the mathematical topics, as covered, for example, in ENAS 500a and ENAS 501b, is expected and two core courses, as identified by each department/program, should be taken in the first year. No more than two courses should be Special Investigations, and at least four should be outside the area of the dissertation. Periodically, the faculty reviews the overall performance of the student to determine whether he/she may continue for the Ph.D. degree. At the end of the first year, a faculty member typically agrees to accept the student as a research assistant. At the beginning of the third year, an area examination must be passed and a written prospectus submitted before dissertation research is begun. These events result in the student's admission to candidacy. Subsequently, the student will report orally each year to the full advisory committee on progress. When the research is nearing completion, but before the thesis writing has commenced, the full advisory committee will advise the student on the thesis plan. A final oral presentation of the dissertation research is required to be given during term time. There is no foreign language requirement. A pamphlet entitled Qualification Procedures for a Ph.D. Degree in Engineering and Applied Science describes the requirements in detail. The student is strongly encouraged to read it carefully.

Honors Requirement
Students must meet the Graduate School's Honors requirement in at least two term courses (excluding Special Investigations) by the end of the second term of full-time study. An extension of one term may be granted at the discretion of the DGS.

Master's Degrees
M.Phil. See Graduate School requirements.

M.S. (en route to the Ph.D.). To qualify for the M.S., the student must pass eight term courses; no more than two may be Special Investigations. An average grade of at least High Pass is required, with at least one grade of Honors.

Master's Degree Program. Students may also be admitted directly to a terminal master's degree program. The requirements are the same as for the M.S. en route to the Ph.D. This program is normally completed in one year, but a part-time program may be spread over as many as four years. Some courses are available in the evening, to suit the needs of students from local industry.

Master of Engineering. This degree is designed to be taken in conjunction with Yale undergraduate B.S. degrees in Engineering. For details please see the Engineering entry in the Yale College Programs of Study, and www.eng.yale.edu/Select/.

Program materials are available upon request to the Director of Graduate Studies, Engineering and Applied Science, Yale University, PO Box 208267, New Haven CT 06520-8267; e-mail, engineering@yale.edu; Web site, www.eng.yale.edu/.

Courses
The list of courses may be slightly modified by the time term begins. Please check www.eng.yale.edu/GIF/grad/courses.html for the most updated course listing.

ENAS 500a, Mathematical Methods I. A. Douglas Stone. Tues/Thurs 10.30-12
Vector analysis in three dimensions (2 weeks), linear algebra (4 weeks), functions of a complex variable (4 weeks), topics at the discretion of the instructor (3 weeks), e.g., (1) specific examples to reinforce the material already presented and (2) new topics (to choose among: Fourier series in one and more dimensions, Laplace transforms, Fourier integrals in one and more dimensions, optimization, elements of ODE).

ENAS 501b, Mathematical Methods II. Jerzy Blawzdziewicz. Tues/Thurs 1-2.20
Special functions, the Laplace transformations, Fourier series, Fourier integrals, and partial differential equations including separation of variables, methods of characteristics, variational techniques, and the brief discussion of numerical methods.

ENAS 502bu, Stochastic Processes. Peter Belhumeur. Tues/Thurs 10.30-11.45
Elements of set and measure theory. Probability distributions, moments, characteristic functions. The central limit theorem. Basic properties of random processes. Stationarity and ergodicity. Correlation functions and power spectra. Linear and nonlinear operations on random processes.

ENAS 506au, Basic Quantum Mechanics. Daniel Prober. Tues/Thurs 9-10.15
Basic concepts and techniques of quantum mechanics essential for solid-state physics and quantum electronics. Topics include the Schrödinger treatment of the harmonic oscillator, atoms and molecules and tunneling, matrix methods, and perturbation theory.

ENAS 507bu, Digital Systems Testing and Design for Testability. Yiorgos Makris. Mon/Wed 2.30-3.45
Introduction to the fundamental concepts, algorithms, and design techniques for testing digital systems. Covered topics include: test issues and economics, fault modeling, logic and fault simulation, test generation algorithms for combinational and sequential circuits, testability analysis, design for testability, built-in self-test, delay fault test, functional test, and case studies (memory test, FPGA test, system-on-chip test, etc). Lab work consists of projects employing logic and fault simulation, automatic test pattern generation, and design for testability software tools. Prerequisite: EENG 462a/CPSC 338a. Understanding of algorithms and data structures is desirable but not essential.

ENAS 509au, Electronic Materials: Fundamentals and Applications. Jung Han. Mon/Wed 11.30-12.45
Survey and review of fundamental issues associated with modern microelectronic and optoelectronic materials. Topics include band theory, electronic transport, surface kinetics, diffusion, materials defects, elasticity in thin films, epitaxy, and Si integrated circuits.

[ENAS 521a, Classical and Statistical Thermodynamics.]

ENAS 550au, Physiological Systems. Steven Segal and staff. Mon/Wed/Fri 9.30-10.20
Regulation and control in biological systems, emphasizing human physiology and principles of feedback. Biomechanical properties of tissues emphasizing the structural basis of physiological control. Conversion of chemical energy into work in light of metabolic control and temperature regulation. Also C&MP 550a, MCDB 550au.

[ENAS 554bu, Biochemical Engineering: Biotechnology.]

ENAS 557bu, Biomechanics. Jacek Cholewicki. Tues/Thurs 2.30-3.45
An introduction to the application of mechanical engineering principles to biological materials and systems. Topics include ligaments, tendons, bones, muscles; joints, gait analysis; exercise physiology. The basic concepts are directed toward an understanding of the science of orthopedic surgery and sports medicine.

ENAS 575bu, Computational Vision and Biological Perception. Steven Zucker. Tues/Thurs 1-2.15
An overview of computational vision with a biological emphasis suitable as a introduction to biological perception for computer science and engineering students, as well as an introduction to computational vision for mathematics, psychology, and physiology students. After MATH 120a or b and CPSC 112a or b, or with permission of instructor. Also CPSC 575b.

ENAS 580au, Seminars in Biomedical Engineering. John Gore.
Tutorial seminars illustrating applications of physics and engineering to biomedical problems. Students are required to attend the seminars, to do the readings assigned after each seminar, to ask questions, and to participate in the discussions. Four to five short papers are required on issues arising from selected topics. The final papers may be presented to the rest of the class.

[ENAS 589a, Introduction to Information Technology for Management.]

ENAS 600au, Computer-Aided Engineering. Marshall Long. Tues/Thurs 9-10.15
Aspects of computer-aided design and manufacture including reasons for increased use of CAD/CAM, the computer's role in the mechanical engineering design and its manufacturing process, hardware and software elements of typical commercial systems, and computer graphics and drafting.

ENAS 602b, Chemical Reaction Engineering. Lisa Pfefferle. Monday 4-6.30
Applications of physical-chemical and chemical-engineering principles to the design of chemical process reactors. Ideal reactors treated in detail in the first half of the course, practical homogeneous and catalytic reactors in the second.

ENAS 603a, Energy Mass and Momentum Processes. Michael Loewenberg. Monday 5-7.30
Application of continuum mechanics approach to the understanding and prediction of fluid flow systems that may be chemically reactive, turbulent, or multiphase.

[ENAS 607bu, Microhydrodynamics.]

ENAS 608b, Surface and Surface Processes. Eric Altman. Tues/Thurs 9-10.45
The chemistry and physics of solid surfaces. Emphasis on fundamental aspects of the following areas of surface science: surface crystallography and reconstruction; kinetics of gas-solid interactions; adsorption; heterogeneous catalysis by transition metal surfaces; oxidation and corrosion; and nucleation and growth of thin films by physical and chemical vapor deposition.

[ENAS 611au, Separation Processes.]

ENAS 612a, Colloidal Separations. John Walz. Mon/Wed/Fri 2.30-3.20
This course provides an overview of the various processes that are used in the separation of particles with characteristic dimensions in the colloidal range (about 1 nanometer to 1 micron). Both the fundamental principles involved as well as some practical aspects are covered. Topics include flocculation, particle deposition, flotation, capillary separation, field flow fractionation, filtration, and membrane separation techniques.

[ENAS 614a, Surface Spectroscopy.]

ENAS 618a, Catalysis: An Integrated Approach. Gary Haller. Tues/Thurs 1-2.15
An historical survey of catalytic processing and chemical kinetics of catalyzed reactions, followed by fundamentals of bonding to surfaces, elementary steps in heterogeneous and homogeneous catalysis, a brief survey of biocatalysis, and finally applied catalysis including reaction engineering, catalyst preparation, and catalyst characterization by physical, chemical, and spectroscopic methods.

ENAS 619b, Advanced Transport: Topics in Multiphase Chemical Reaction Engineering. Daniel Rosner. Thursday 4-6
Focus on fundamental aspects of transport phenomena including fluid mechanics and heat and mass transport. Scaling principles and asymptotic analysis emphasized. Topics include creeping flow, potential flow, and boundary layer transport in low- and high-Reynolds-number flows.

[ENAS 626au, Chemical Engineering Process Control.]

ENAS 640b, Aquatic Chemistry. Gaboury Benoit. Tues/Thurs 10-11.20
A detailed examination of the principles governing chemical reactions in water. Emphasis is on developing the ability to predict the aqueous chemistry of natural and perturbed systems based on a knowledge of their biogeochemical setting. Focus is on inorganic chemistry, and topics include elementary thermodynamics, acid-base equilibria, alkalinity, speciation, solubility, mineral stability, redox chemistry, and surface complexation reactions. Illustrative examples are taken from the aquatic chemistry of estuaries, lakes, rivers, wetlands, soils, aquifers, and the atmosphere. A standard software package used to predict chemical equilibria may also be presented. Also F&ES 544b.

ENAS 641a, Biological Processes in Environmental Engineering. Robert Ely. Mon/Wed 9-10.15
Fundamental aspects of microbiology and biochemistry, including stoichiometry, kinetics, and energetics of biochemical reactions, microbial growth, and microbial ecology, as they pertain to biological processes for the transformation of environmental contaminants; principles for analysis and design of aerobic and anaerobic processes including suspended- and attached-growth systems, for treatment of conventional and hazardous pollutants in municipal and industrial wastewaters and in groundwater.

ENAS 642b, Physical and Chemical Processes in Environmental Engineering. Menachem Elimelech. Tues/Thurs 2.30-3.45
Fundamental and applied concepts of physical and chemical ("physicochemical") processes relevant to water quality control. Topics include chemical reaction engineering, overview of water and wastewater treatment plants, colloid chemistry for solid-liquid separation processes, physical and chemical aspects of coagulation, coagulation in natural waters, filtration in engineered and natural systems, adsorption, membrane processes, disinfection and oxidation, disinfection by-products.

ENAS 643a, Transport and Fate of Organic Chemicals in the Environment. Joseph Pignatello. Tues/Thurs 2.30-3.45
Fundamental chemical and physical processes controlling the distribution, transport, and transformation of anthropogenic organic chemicals in aqueous environments including soils, sediments, and groundwater. The course provides basic knowledge about the following: (1) the use of chemical and physical principles to quantify the thermodynamics and kinetics of individual processes, (2) the use of chemical structure to understand these processes at the molecular level, and (3) a framework for evaluating the relative importance of these processes so that the fate of a particular chemical in a particular environment may be predicted.

ENAS 644b, Geographic Information Systems (GIS) in Water Resources and Environmental Engineering. James Wallis. Tues/Thurs 4-5.15
The course objectives are threefold: (1) to teach the principles and operation of geographic information systems (GIS), focusing in particular on Arc View and its Spatial Analyst extension; (2) to show how spatial hydrologic modeling can be done by developing a digital representation of the environment within a GIS, then adding to that function simulating the hydrologic processes; and (3) to develop individual experience in the use of GIS in Water Resources through execution of a term project, and presenting it orally and in written form using HTML on the World Wide Web. This is a Web-based course with enrollment limited by availability of computer hardware and software.

ENAS 645b, Industrial Ecology. Thomas Graedel, William Ellis. Mon/Wed 1-2.20
Industrial ecology is an organizing concept that is increasingly applied to define various interactions of today's technological society with both natural and altered environments. Technology and its potential for modification and change are central to this topic, as are implications for government policy and corporate response. The course discusses how industrial ecology is being applied in corporations to minimize the environmental impacts of products, processes, and services, and shows how industrial ecology serves as a technological framework for science, policy, and management in government and society. Also F&ES 501b.

ENAS 646a, Environmental Hydrogeology. James Saiers. Mon/Wed 11.30-12.50
An introduction to the essential elements of hydrogeologic processes. Course topics include groundwater flow, occurrence and movement of water in the vadose zone, streamflow generation, groundwater contamination, and transport of chemicals in groundwater. Computer software packages are used to reinforce concepts presented in class. A modest background in general physics and calculus is required.

ENAS 647b, Hydrogeological Modeling. James Saiers. Mon/Wed 10-11.20
Application of computer models to solve problems related to water movement and chemical migration in subsurface environments. Unsaturated and saturated flow phenomena are considered, and the role of geochemical and microbiological processes in chemical fate and transport are examined.

[ENAS 649a, Selected Topics in Environmental Engineering Science.]

ENAS 650au, Instrumentation and Product Design. Peter Kindlmann. Wed/Fri 2.30-3.45
Survey of broadly applicable design methods with initial emphasis on analog electronics: review of op amps and other integrated circuits and their specifications, data conversion fundamentals, the use of simulation and an online engineering database, exposure to such broader issues as user-interface design, user participation in design, and the transforming role of products at work and in the home.

ENAS 659au, Microfabrication, Micromachining, and Micro-electromechanical Systems, MEMS. James Klemic. Tues/Thurs 9-10.15
Survey and critical review of microfabrication techniques for building MEMS. Emphasis on applications. Topics include micromechanical scaling laws, microlithography, bulk and surface micromachining, microtransduction, device modeling and layout, foundry services, commercial MEMS devices, assembly and packaging, and current trends and future goals.

ENAS 704au, Theoretical Fluid Dynamics. Ira Bernstein. Tues/Thurs 1-2.15
Derivation of the equations of fluid motion from basic principles. Potential theory, viscous flow, with vorticity. Topics in hydrodynamics, gas dynamics, stability, and turbulence.

[ENAS 708b, Fundamentals of Combustion.]

An advanced course in combustion with an emphasis on turbulent combustion in both premixed and non-premixed systems. We review modern approaches to the subject including both experimental and theoretical aspects. Prerequisite: ENAS 708b.

[ENAS 713au, Acoustics.]

ENAS 718au, Heterojunction Devices. Mark Reed. Tues/Thurs 9-10.15
Survey of the physics, technology, and fabrication of semiconductor heterojunction materials and devices. Topics include contemporary compound semiconductor material properties and epitaxial growth techniques; high-speed analog and digital devices; microwave and millimeter wave devices for radar and wireless communications; the physics and device properties of quantum wells and superlattices; HEMTs and modulation-doped structures; resonant tunneling physics and devices; and device modeling using computer simulation tools. Lab includes fabrication of GAAs, FETs, and HBTs; fabrication and measurement of quantum Hall effect standards; LEDs; and resonant tunneling devices.

[ENAS 745a, Optical Diagnostics for Reacting and Nonreacting Flows.]

ENAS 747au, Applied Numerical Methods I. Beth Anne Bennett. Tues/Thurs 2.30-3.45
A variety of numerical methods applied to problems in engineering and applied science. Topics include solutions of linear and nonlinear equations, interpolation and approximation, eigenvalue determination, numerical integration, and solution of ordinary differential equations.

ENAS 748bu, Applied Numerical Methods II. Mitchell Smooke. Tues/Thurs 2.30-3.45
An introduction to numerical methods for solution of ordinary and partial differential equations. One-step, multistep and Runge Kutta methods for initial value problems, finite difference methods in the solution of elliptic parabolic and hyperbolic partial differential equations.

ENAS 750bu, Mechanics of Deformable Solids. Staff.
Unified presentation of the equilibrium behavior of structural and machine elements, including the solution of a variety of representative engineering problems. Tensorial description of stress and strain. Elementary introduction to elastic, plastic, and viscoelastic behavior of solids. Failure theories. Two-dimensional boundary value problems in elasticity. Energy methods in solid mechanics. Stability problems.

[ENAS 751a, Vibration Problems in Engineering.]

ENAS 761a, Introduction to Continuum Mechanics. Boa-Teh Chu. Tues/Thurs 9-10.15
Foundations of fluid and solid mechanics presented from a unified viewpoint. Usefulness and limitations of continuum approximation. A review of types of mechanical behavior. Ideal and real substances. Mathematical preliminaries: vector and tensor calculus. Kinematics of deformation. Basic thermodynamics. Conservative laws. Relation to particle mechanics and the kinetic theory of matter. Modeling of real systems. Constitutive equations and their formulation. Selected applications: waves and heat transfer in fluids and solids.

[ENAS 763a, Introduction to Polymer Science and Engineering.]

ENAS 785au, Microstructural Development of Materials. David Wu. Tues/Thurs 6-7.15
An advanced course in the development of microstructure in a material. Topics include the nature of solids, thermodynamics of solids, atomic diffusion, solidification, the structure of internal interfaces, and diffusive and nondiffusive phase transformations.

[ENAS 789a, Turbulence and Related Problems.]

ENAS 810b, Nonlinear Optics. Richard Chang. Tues/Thurs 2.30-3.45
Fundamental aspects of laser interaction with matter, including both linear and nonlinear optical responses. Actual electro-optical and magneto-optical devices (such as harmonic doublers, parametric oscillators, modulators, and isolators) are introduced and analyzed.

[ENAS 815b, Detection of Radiation.]

ENAS 821bu, Physics of Medical Imaging. John Gore, Adam Anderson. Mon/Wed 11.30-12.45
The physics of image formation with special emphasis on techniques with medical applications. Concepts that are common to different types of imaging are emphasized, along with an understanding of how information is limited by the basic physical phenomena involved. Mathematical concepts of image analysis; the formation of images by ionizing radiation; ultrasound, NMR, and other energy forms, and methods of evaluating image quality.

ENAS 850au and 851bu, Solid State Physics I and II. Victor Henrich [F], Charles Ahn [Sp]. Tues/Thurs 1-2.15
A two-term sequence covering the principles underlying the electrical, thermal, magnetic, and optical properties of solids, including crystal structures, phonon, energy bands, semiconductors, Fermi surfaces, magnetic resonance, phase transitions, and superconductivity. Also PHYS 548au and 549bu.

ENAS 852b, Many-Body Theory of Solids. Subir Sachdev. Mon/Wed 9-10.30
Solids as many-particle systems. Second quantization. Green's functions, quantum statistical mechanics, linear response theory. Hartree-Fock theory, perturbation theory, Feynman diagrams at finite temperature. Theory of the electron gas, electron-phonon coupling, BCS theory of superconductivity. Also PHYS 610b.

ENAS 856a and 857b, Theory of Solids I and II. Simon Mochrie [F], Nicholas Read [Sp]. Mon/Wed 9-10.30 [F], mth 1-2.30 [Sp]
Theoretical techniques for the study of the structural and electronic properties of solids, with applications. Topics include band structure, phonons, defects, transport, magnetism, and superconductivity. Also PHYS 650a and 651b.

[ENAS 858a, Asymptotic Methods.]

ENAS 859a, Special Topics in Optics. Richard Chang. Tues/Thurs 2.30-3.45
A survey of the principles of optics. Topics include geometrical optics, optical imaging, interference, and diffraction. The course is taught from the experimentalist perspective and emphasizes real applications.

ENAS 866a, MOS Device Physics and Technology. Tso-Ping Ma.
Topics include basic MOS device physics, science and technology of thermal SiO2, interface properties of MOS structures, experimental techniques to probe MOS parameters, hot-carrier effects, radiation effects, channel mobility and carrier transport in MOS inversion layers, scaling of MOS devices, low temperature properties of MOS devices, SOI device physics and technology, advanced gate dielectrics, MOS devices with wide-bandgap semiconductors, nonvolatile memory devices, ferroelectric memory devices, single-electron MOS transistors, other MOS topics of current interest.

ENAS 875au, Introduction to VLSI System Design. Richard Lethin. Thursday 1.30-3.20
Chip design. Provides background in integrated devices, circuits, and digital subsystems needed for design and implementation of silicon logic chips. Historical context, scaling, technology projections, physical limits. CMOS fabrication overview, complementary logical circuits, design methodology, computer-aided design techniques, timing, and area estimation. Case studies of recent research and commercial chips. Objectives of the course are (1) to give students the ability to complete the course project (design of a digital CMOS subsystem chip through layout), and (2) to understand the directions that future chip technologies may take. Selected projects will be fabricated and packaged for testing by student. Prerequisite: circuits at the level of introductory physics and computer programming.

ENAS 902a, Linear Systems. A. Stephen Morse. Mon/Wed 1.30-3
Background linear algebra; finite-dimensional, linear-continuous, and discrete dynamical systems; state equations, pulse and impulse response matrices, weighting patterns, transfer matrices. Stability, Lyapunov's equation, controllability, observability, system reduction, minimal realizations, equivalent systems, McMillan degree, Markov matrices. Recommended for all students interested in robotics, systems, and information sciences.

ENAS 907bu, Computer Systems. Daniel Friendly. Mon/Wed 2.30-3.45
The organization of computer systems as hardware and software systems. Instruction-set architecture, assembly programming, computer arithmetic, data-path architecture and control, pipelining, memory hierarchy. Concepts illustrated by exploration of an instructional RISC microprocessor. Also CPSC 539bu.

ENAS 908a, Advanced Topics in Computer Architecture. Daniel Friendly. Tues/Thurs 1-2.15
Survey and critical review of the state of the art in microprocessor design. Topics include instruction level parallelism, dependency analysis, instruction fetch, branch prediction and predication, trace caches, instruction scheduling, memory bandwidth, cache organization, value and dependence prediction, and prefetching.

ENAS 910a Adaptive Control & Neural Networks. Kumpati Narendra.
An introduction to the control of dynamical systems with parametric uncertainty. Emphasis on analytical models and stability results. Extension of concepts to the adaptive control of nonlinear systems using neural networks.

ENAS 912au, Digital Image Processing. James Duncan. Tues/Thurs 9-10.15
Concepts and techniques of enhancement, image restoration, image reconstruction from projections, scene analysis, and image understanding.

ENAS 913a, Advanced Topics in Medical Imaging and Computer Vision. Hemant Tagare.
The aim of this course is to look at some advanced topics in imaging. This year the course concentrates on differential geometry of curves and surfaces and its applications to imaging.

ENAS 914bu, Computer Vision. Peter Belhumeur.
Computational accounts of visual perception: image formation, image transformations, line and curve extraction, segmentation, shape, stereo, motion, texture, and model-based object recognition. Topics include a review of relevant mathematical tools, algorithms, and results from studies of human vision. Also CPSC 576bu.

[ENAS 917au, Optical Properties of Semiconductors.]

[ENAS 918b, Data/Telecommunication Technology.]

ENAS 928b, Compound Semiconductor Materials Science, Processing, Devices, and Characterization. Jerry Woodall.
Includes properties of important semiconductors, epitaxy, materials science, contacts, devices: fabrication, operation and applications, p-n and Schottky diodes, LEDs, lasers, photodetectors including Solar Cells, MESFETs and MOSFETs, HEMTs and HBTs, materials and device characterization.

ENAS 936bu, Systems and Control. Kumpati Narendra. Tues/Thurs 2.30-3.45
State-variable analysis of linear time-invariant systems formulated in both continuous and discrete time. Topics include model building, state-space diagrams, equilibrium, stability, controllability, observability, transfer functions, various kinds of transformations. Several exercises use a digital computer.

ENAS 986bu, Semiconductor Silicon Devices and Microelectronics. Tso-Ping Ma. Mon/Wed 9-10.15
Fundamentals of integrated circuit technology, theory of solid-state devices, and principles of device design and fabrication. Laboratory involves the fabrication and analysis of semiconductor devices, including Ohmic contacts, Schottky diodes, p-n junctions, MOS capacitors, MOSFETs, and integrated circuits.

ENAS 990a and b, Special Investigations. Faculty.
Faculty-supervised individual projects with emphasis on research, laboratory, or theory. Students must define the scope of the proposed project with the faculty member who has agreed to act as supervisor, and submit a brief abstract to the director of graduate studies for approval.

ENAS 995b, Technology Management Seminar Series. Natalie Jeremijenko.
The seminars are given by speakers from industry who present their direct experience in managing technological change. Students are required to select one of the areas discussed and to develop a final presentation and report. The report must address the specific technological and management challenges of that area.

ENAS 996a and b, SynThesis: Product Design for Entrepreneurial Teams. Robert Apfel, Natalie Jeremijenko. Tues/Thurs 2.30-4
The SynThesis course is a product-based graduate course in product design and the management of innovation. During the two terms of the course the students work in entrepreneurial teams to research, develop, create, and market a viable, real-world product. The teams consist of exceptional Engineering students, drawn primarily from the Select Program, as well as School of Management students. The entrepreneurial teams work independently-with the guidance of industry mentors, faculty coaches, and a user community-to develop their prototypes, business plans, and final product. The teams are assessed by juries comprised of industry representatives, venture capitalists, and product development experts.

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