Engineering and Applied Science
Dunham Laboratory, 432.4250
M.Eng., M.S., M.Phil., Ph.D.
Dean
Paul Fleury
Director of Graduate Studies
Jerry M. Woodall
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
Daniel Prober
Professors
Sean Barrett, William Bennett, Jr. (Emeritus), Richard Chang, Michel Devoret, Joseph Dillon, Jr. (Adjunct), Paul Fleury, Steven Girvin, Robert Grober, Victor Henrich, Arvid Herzenberg (Emeritus), Pierre Hohenberg (Adjunct), Marshall Long, Tso-Ping Ma, Daniel Prober, Nicholas Read, Mark Reed, Subir Sachdev, Robert Schoelkopf, Ramamurty Shankar, Mitchell Smooke, A. Douglas Stone, John Tully, Robert Wheeler (Emeritus), Werner Wolf (Emeritus), Jerry Woodall
Associate Professor
Charles Ahn
Assistant Professors
Sohrab Ismail-Beigi, Janet Pan
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, mesoscopic physics, first principles electronic structure methods, and medical instrumentation.
Biomedical Engineering
Chair
Mark Saltzman
Professors
James Duncan, Douglas Rothman, Mark Saltzman, Steven Segal, Fred Sigworth, Steven Zucker (Computer Science)
Associate Professors
Jacek Cholewicki, Todd Constable, Fahmeed Hyder, Lawrence Staib, Hemant Tagare
Assistant Professors
Francesco d'Errico, Robin de Graaf, Mark Laubach, Erin Lavik, Xenios Papademetris
Fields of Study
Fields include the physics of image formation (MRI, ultrasound, nuclear medicine, and X-ray), NMR spectroscopy, digital image analysis and processing, computer vision, biological signals and sensors, biomechanics, physiology and human factors engineering, drug delivery, biotechnology, biomechanics of the spine, and tissue engineering.
Chemical Engineering
Chair
John Walz
Professors
Eric Altman, Daniel Crothers (Adjunct), Menachem Elimelech, Abbas Firoozabadi (Adjunct), Thomas Graedel, Gary Haller, Csaba Horváth, Michael Loewenberg, Lisa Pfefferle, Joseph Pignatello (Adjunct), Daniel Rosner, John Walz, L. Lee Wikstrom (Adjunct), Kurt Zilm (Adjunct)
Associate Professors
Gaboury Benoit, Paul Van Tassel
Assistant Professor
William Mitch
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, biotechnology, molecular beams, aerosol science and technology, materials processing, surface science, and environmental engineering.
Electrical Engineering
Chair
Tso-Ping Ma
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
Associate Professors
Jung Han, Lawrence Staib, Hemant Tagare
Assistant Professors
Hur Koser, Richard Lethin (Adjunct), Yiorgos Makris, Janet Pan, Andreas Savvides, Sekhar Tatikonda, Edmund Yeh
Fields of Study
Fields include control systems, neural networks, communications and signal processing, wireless networks, intelligent sensors, sensor networks, biomedical image processing, microelectronic materials and semiconductor devices, nanoelectronic science and technology, optoelectronic materials and devices, microelectromechanical systems (MEMS), computer engineering, computer architecture, and VLSI design and testing.
Program in Environmental Engineering
Professors
Gaboury Benoit, Menachem Elimelech, Thomas Graedel, Lisa Pfefferle, Joseph Pignatello (Adjunct), Daniel Rosner, Karl Turekian, John Walz
Associate Professor
James Saiers
Assistant Professors
Michelle Bell, Ruth Blake, William Mitch
Lecturers
James Wallis, L. Lee Wikstrom
Fields of Study
Fields include aquatic and environmental chemistry, physical and chemical processes for water quality control, transport and fate of pollutants in the environment, transport of microbial particles in groundwater, colloidal and interfacial phenomena in aquatic systems, environmental engineering microbiology, environmental molecular biology, fate of hormones and pharmaceutically active compounds in aquatic environments and engineering systems, removal and reactivity of emerging trace organic pollutants in advanced water reuse, membrane separations for water quality control, industrial ecology, geochemistry and geomicrobiology, and chemical reactions at the mineral-water interface.
Mechanical Engineering
Chair
Marshall Long
Professors
Ira Bernstein (Emeritus), Boa-Teh Chu (Emeritus), Juan Fernández de la Mora, Alessandro Gomez, Robert Gordon, Shun-Ichiro Karato, Amable Liñan-Martinez (Adjunct), Marshall Long, Manohar Panjabi, Lisa Pfefferle, Daniel Rosner, Ronald Smith, Mitchell Smooke, Katepalli Sreenivasan (Adjunct), George Veronis, Peter Wegener (Emeritus), Forman Williams (Adjunct)
Associate Professors
Jacek Cholewicki, Udo Schwarz, Wei Tong, David Wu
Assistant Professors
Jerzy Blawzdziewicz, Eric Dufresne, David LaVan, Corey O'Hern, Ainissa Ramirez
Lecturers
Beth Anne Bennett, Kailasnath Purushothaman, Glenn Weston-Murphy
Fields of Study
Mechanics of Fluids: Dynamics and stability of drops and bubbles; dynamics of thin liquid films; macroscopic and particle-scale dynamics of emulsions, foams, and colloidal suspensions; 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; 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; transient nucleation in multicomponent systems; jamming in particulate systems such as glasses, colloids, and granular materials.
Special Requirements for the Ph.D. Degree
A pamphlet titled 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. Here, key requirements are briefly summarized.
The student plans his/her course of study in consultation with faculty advisers (the student's advisory committee). A minimum of ten term courses is required, normally completed in the first two years. (Students registered in Applied Physics must take a minimum of twelve term courses.) Mastery of the mathematical topics, as covered, for example, in ENAS 500a, is expected and generally required (for exceptions, consult the individual department/program). Students may take an examination to place out of ENAS 500a. Placing out of the course will meet the mathematical topics requirement but will not reduce the total number of required courses. In addition, 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 two 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. By October 5 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.
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 the Web site www.eng.yale.edu/GIF/grad/courses.html for the most updated course listing.
ENAS 500a, Mathematical Methods I. Charles Ahn.
TTh 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.
TTh 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. Sekhar Tatikonda.
TTh 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 505a, Advanced Engineering Mathematics. Paul Van Tassel.
TTh 10.30–12
A beginning graduate-level introduction is given to ordinary and partial differential equations, vector and tensor analysis, and linear algebra. Laplace transform, series expansion, Fourier transform, and matrix methods are given particular attention. Applications to problems frequently encountered by chemical, biomedical, and environmental engineers are stressed throughout.
ENAS 506au, Basic Quantum Mechanics. Daniel Prober.
TTh 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.]
[ENAS 509au, Electronic Materials: Fundamentals and Applications.]
ENAS 510au, Physical and Chemical Basis Biosensing. Douglas Rothman.
TTh 1–2.15
Basic principles and technologies for sensing the chemical, electrical, and structural properties of living tissues and biological macromolecules. Topics include magnetic resonance spectroscopy, microelectrodes, flourescent probes, chip-based biosensors, X-ray and electron tomograph, and MRI.
ENAS 511bu, Physics and Devices of Optical Communication. Jung Han.
MW11.30–12.45
A survey of the enabling components and devices that constitute modern optical communication systems. Focus on the physics and principles of each functional unit, its current technological status, design issues relevant to overall performance, and future directions. Permission of instructor required.
[ENAS 513au, Introduction to Analysis.]
ENAS 514bu, Real Analysis. Serge Lang.
TTh 1–2.15
The Lebesgue integral, Fourier series, applications to differential equations.
ENAS 521a, Classical and Statistical Thermodynamics. Abbas Firoozabadi.
TTh 9–10.15
A unified approach to bulk-phase equilibrium thermodynamics, bulk-phase irreversible thermodynamics, and interfacial thermodynamics in the framework of classical thermodynamics, and an introduction to statistical thermodynamics. Both the activity coefficient and the equations of state are used in the description of bulk phases. Emphasis on classical thermodynamics of multicomponents, including concepts of stability and criticality, curvature effect, and gravity effect. The choice of Gibbs free energy function covers applications to a broad range of problems in chemical, environmental, biomedical, and petroleum engineering. The introduction includes theory of Gibbs canonical ensembles and the partition functions, fluctuations, and Boltzmann's statistics, Fermi-Dirac and Bose-Einstein statistics. Application to ideal monatomic and diatomic gases is covered.
[ENAS 525b, Optimization I.]
ENAS 534b, Biomaterials. Erin Lavik.
MWF 10.30–11.20
Introduction to materials, classes of materials from atomic structure to physical properties. Major classes of materials: metals, ceramics and glasses, and polymers, addressing their specific characteristics, properties, and biological applications. Throughout the presentation of the synthesis, characterization, and properties of the classes of materials, connections are made to their biological applications. Examples include the use of plasticizers in processing which may leach out during implantation and the increase in fracture toughness of ceramics by choosing dopants to promote phase transformations under stress. Case studies addressing the successes and failures of particular materials from each of the classes in biological applications.
ENAS 550au, Physiological Systems. Steven Segal and staff.
MWF.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 551au, Biomedical Engineering I: Quantitative Physiology. Mark Saltzman.
TTh 11.30–12.45
Demonstration of the use of engineering analysis and synthesis in problems in the life sciences and medicine; focus on modeling of molecular physiological processes and design of artificial organs. The lectures in the course are coordinated with the sequence of lectures in ENAS 550a to illustrate how engineering analysis can be used to understand physiological processes. In addition, the course presents elements of pharmacokinetics, heat and mass transfer in physiological systems, hemodialysis, drug delivery, and tissue engineering.
ENAS 554bu, Biochemical Engineering: Biotechnology. James Wilkins.
TTh 1–2.15
Biotechnology treated from the point of view of chemical engineering. Basics of microbiology, microbial genetics and control, and genetic engineering, followed by enzyme kinetics and biochemical reactors. Fermentation technologies: biochemical separation processes with emphasis on chromatography. Field trips to fermentation facilities.
ENAS 557bu, Biomechanics. Jacek Cholewicki.
TTh 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 orthopaedic surgery and sports medicine.
[ENAS 560a, Measurement and Noise.]
ENAS 570bu, Cellular and Molecular Physiology: Molecular Machines in Human Disease. Michael Caplan, Emile Boulpaep, Mark Mooseker, Fred Sigworth.
MWF 9.30–10.20
This course focuses on understanding the processes that transfer molecules across membranes at the cellular, molecular, biophysical, and physiologic levels. Students learn about the different classes of molecular machines that mediate membrane transport, generate electrical currents, or perform mechanical displacement. Emphasis is placed upon the relationship between the molecular structures of membrane proteins and their individual functions. The interactions among transport proteins in determining the physiologic behaviors of cells and tissues are also stressed. Molecular motors are introduced and their mechanical relationship to cell function is explored. Students read papers from the scientific literature that establish the connections between mutations in genes encoding membrane proteins and a wide variety of human genetic diseases. Also C&MP 560b, MCDB 560bu.
ENAS 575bu, Computational Vision and Biological Perception. Steven Zucker.
MW 2.30–3.45
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. Staff.
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.
TTh 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 602a, Chemical Reaction Engineering.]
ENAS 603a, Energy Mass and Momentum Processes. Michael Loewenberg.
MW 9–10.15
Application of continuum mechanics approach to the understanding and prediction of fluid flow systems that may be chemically reactive, turbulent, or multiphase.
[ENAS 604b, Bioseparations: Science and Engineering.]
ENAS 605b, Colloidal Chemical Engineering. Paul Van Tassel.
TTh 10.30–12
A graduate-level introduction is given to modern colloid science as practiced by engineers. Topics include self-assembly in solution and at surfaces, surface chemistry, the electric double layer, colloidal forces, and polymers. Applications to problems frequently encountered by chemical, biomedical, and environmental engineers are stressed throughout.
[ENAS 607bu, Microhydrodynamics.]
[ENAS 608b, Surface and Surface Processes.]
[ENAS 610a, Advanced Topics in Bioseparations.]
ENAS 611au, Separation Processes. Daniel Rosner.
MW 2.30–3.45
Theory and design of separation processes for multicomputer and/or multiphase mixtures via equilibrium and rate phenomena. Included are single-stage and cascaded absorption, adsorption, extraction, distillation, filtration, and crystallization processes.
[ENAS 612a, Colloidal Separations.]
ENAS 614b, Surface and Thin-Film Characterization. Eric Altman.
TTh 9–10.45
Fundamental and practical aspects of spectroscopy, diffraction, and microscopy related to the structural and chemical characterization of surfaces and thin films. Emphasis on identification of adsorbed species by vibrational spectroscopy, determination of the chemical state of the surface by photoelectron spectroscopy, quantitative methods in surface analysis, determination of surface structure by scanned per microscopy techniques and diffraction methods, and recent advances in surface characterization.
ENAS 618a, Principles and Practice of Heterogeneous Catalysis. Gary Haller.
TTh 1–2.15
Emphasis on heterogeneous characterization by spectroscopic techniques. Following the introduction of principles, we review several large-scale industrial applications which include: catalytic reforming of naphtha (metal and bimetallic catalysts), catalytic cracking (zeolite catalysts), catalytic hydrotreating, automobile pollution catalysts, and chemical productions, e.g., ethylene oxide, methanol, etc.
[ENAS 619b, Advanced Transport: Topics in Multiphase Chemical Reaction Engineering.]
ENAS 622b, Topics in Multiphase Chemical Reaction Engineering. Daniel Rosner.
TTh 10.30–11.45
A series of lectures dealing with fundamental aspects of the thermochemistry, phase/chemical equilibria, chemical kinetics, and transport phenomena underlying the use of homogeneous and/or heterogeneous chemical reactions (often combustion related) to economically synthesize materials at high production rates, including valuable vapors, particulate matter (ultrafine powders), dense and granular coatings, and monoliths. Included are scale-up, purity, safety, and environmental issues associated with the economics/choice of synthesis reactors, along with a summary of R&D trends and associated research needs.
ENAS 626au, Chemical Engineering Process Control. Eric Altman.
MW 1–2.15
Modeling of steady- and unsteady-state behavior of chemical processes; optimal control strategies for processes of particular interest to chemical engineers; discussion of both classical and modern control theory, with applications.
ENAS 640b, Aquatic Chemistry. Gaboury Benoit.
TTh 11.30–12.45
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. Jason White.
MW 4–5.15
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.
TTh 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.
TTh 4–5.15
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, Environmental Chemical Kinetics. William Mitch.
TTh 9–10.15
Because equilibrium is rarely achieved in environmental systems, a fundamental understanding of the kinetics of environmentally relevant chemical reactions is necessary for the prediction of the fate of contaminants in the environment. After a brief review of chemical speciation and linear free energy relationships that govern the equilibrium behavior of chemicals in the environment, the course covers the theory underlying the use of similar free-energy relationships for the prediction of chemical reaction rates. The course then discusses the following environmentally relevant reactions: complexations, substitutions (e.g., hydrolysis), natural oxidation-reductions, biotransformations, engineered oxidation-reductions, photochemical reactions, and a brief introduction to surface reactions.
ENAS 645b, Industrial Ecology. Thomas Graedel, Marian Chertow.
MW 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 Hydrology. James Saiers.
MW 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. Also F&ES 540a.
ENAS 647b, Hydrological Modeling. James Saiers.
T 2.30–5.20
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. Also F&ES 541b.
[ENAS 648a, Environmental Aspects of Emerging Technology.]
[ENAS 649a, Selected Topics in Environmental Engineering Science.]
ENAS 650au, Instrumentation and Product Design. Peter Kindlmann.
WF 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 658a, MEMS Design. Hur Koser.
MW 10.30–12
Topics to include material properties, microfabrication technologies, structural behavior, sensing techniques, actuation schemes, fluid behavior, simple electronic circuits, and feedback systems. Student teams design a complete microsystem in line with their interests to meet a set of specifications based on realistic microfabrication processes. Modeling and simulation in the design process is emphasized.
[ENAS 704au, Theoretical Fluid Dynamics.]
ENAS 705a, Numerical Simulations of Liquids. Corey O'Hern.
TTh 2.30–3.45
Review of equilibrium Molecular Dynamics and Monte Carlo simulation methods in various thermodynamic ensembles. Introduction to non-equilibrium molecular dynamics techniques especially to study shear flow and heat transport in liquids. The application of novel nonequilibrium Molecular Dynamics and Monte Carlo methods to the study of supercooled liquids and glasses and sheared granular materials and foams.
[ENAS 708b, Fundamentals of Combustion.]
[ENAS 709a, Special Topics in Combustion.]
[ENAS 713au, Acoustics.]
ENAS 718au, Heterojunction Devices. Mark Reed.
TTh 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.
TTh 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, and numerical integration.
ENAS 748bu, Applied Numerical Methods II. Beth Anne Bennett.
TTh 11.30–12.45
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.]
[ENAS 751a, Vibration Problems in Engineering.]
ENAS 761a, Introduction to Continuum Mechanics. David Bercovici.
TTh 9–10.15
Introduction to the physics of continuous media, with applications to physical, natural, and biological sciences and engineering. Topics include: tensor analysis; analysis of stress, motion, and strain; conservation of mass, momentum, and energy; rheology; examples in fluid dynamics, elasticity theory, and other topics at the discretion of instructor. Also G&G 525a.
[ENAS 763a, Introduction to Polymer Science and Engineering.]
[ENAS 785au, Microstructural Development of Materials.]
ENAS 786b, Mechanical Behavior of Materials. David Wu.
HTBA
A detailed treatment of the relationship between the microstructure of a material and its mechanical behavior. Topics include defects in crystals; strengthening mechanisms; crystal plasticity; work hardening; recovery, recrystallization, and grain growth. Emphasis on the relationship between material-based and continuum models.
[ENAS 789a, Turbulence and Related Problems.]
[ENAS 810b, Nonlinear Optics.]
[ENAS 815b, Detection of Radiation.]
ENAS 817a, Noise, Dissipation, and Amplification. Michel Devoret.
TTh 9–10.30
Graduate-level equilibrium and non-equilibrium statistical physics applied to quantum electronics/optics phenomena. The aim is to explain the fundamental link between the random fluctuations of a physical system in equilibrium and the response of the same system to an external perturbation. Several key examples where noise appears as a resource rather than a limitation are treated: spin relaxation in nuclear magnetic resonance (motional narrowing), Johnson-Nyquist noise in solid state transport physics (noise thermometry), photon correlation measurements in quantum optics (Hanbury Brown-Twiss experiment), and so on. The course explores both passive and active systems. It discusses in particular the ultimate limits of amplifier sensitivity and speed in physics measurements. Also PHYS 677a.
[ENAS 818a, Mesoscopic Physics.]
ENAS 821bu, Physics of Medical Imaging. Todd Constable.
MW 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], Robert Schoelkopf [Sp].
TTh 1–2.15 [F], TTh 9–10.15 [Sp]
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. A. Douglas Stone.
TTh 10.30–12
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, Theory of Solids I. Sohrab Ismail-Beigi.
WF 10.30–12
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.
[ENAS 857b, Theory of Solids II.]
[ENAS 858a, Asymptotic Methods.]
ENAS 859b, Special Topics in Optics. Richard Chang.
TTh 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. Also PHYS 675b.
ENAS 860a, Special Topics in Condensed Matter Physics: Quantum Hall Effect and Conformal Field Theory. Nicholas Read.
MW 10.30–12
Aspects of the quantum Hall effect, particularly the fractional effect, and conformal field theory, plus the connections between the two. Quantum Hall states, composite particles, quasiparticles, fractional charge, and statistics. Future applications to rotating trapped atoms. Conformal symmetry in two dimensions, applications to classical critical phenomena, 1+1 quantum field theory. Nonabelian quantum Hall states, and the relation with conformal field theory and Chern-Simons gauge theory. Background required: statistical mechanics, and either many-body theory or quantum field theory. Also PHYS 667a.
ENAS 863b, Introduction to Superconductivity. Daniel Prober.
MW 10.30–12
The fundamentals of superconductivity, including both theoretical understandings of basic mechanisms and description of major applications. Topics include historical overview, Ginzburg-Landau (mean field) theory, critical currents and fields of type II superconductors, BCS theory, Josephson junctions and microelectronic and quantum-bit devices, and high Tc oxide superconductors. Also PHYS 633b.
[ENAS 866a, MOS Device Physics and Technology.]
ENAS 875au, Introduction to VLSI System Design. Richard Lethin.
Th 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 are fabricated and packaged for testing by student. Prerequisite: circuits at the level of introductory physics and computer programming.
[ENAS 887au, Dynamic Programming and Reinforcement Learning.]
ENAS 902a, Linear Systems. A. Stephen Morse.
MW 1–2.15
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. Andreas Savvides.
MW 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.]
[ENAS 910a, Adaptive Control and Neural Networks.]
ENAS 912au, Digital Image Processing. James Duncan, Lawrence Staib.
TTh 9–10.15
A study of the basic computational principles related to processing an analysis of biomedical images (e.g., magnetic resonance, computed X-ray tomography, fluorescence microscopy). Basic concepts and techniques related to discrete image representation, multidimensional frequency transforms, image enhancement/restoration, image segmentation, and image registration.
[ENAS 913a, Advanced Topics in Medical Imaging and Computer Vision.]
ENAS 917au, Optical Properties of Semiconductors. Richard Chang.
TTh 11.30–12.45
Comprehensive treatment of the optical and electronic properties of semiconductor alloys and quantum structures. Physical models of blackbody radiation, spontaneous emission, stimulated emission, absorption, and polarization. Quantitative analysis of the effects of temperature, pressure, stress fields, and electric and magnetic fields. Also PHYS 676a.
[ENAS 918b, Data/Telecommunication Technology.]
[ENAS 919b, Advanced Heterojunction Devices.]
ENAS 928b, Compound Semiconductor Materials Science, Processing, Devices, and Characterization. Jerry Woodall.
F 10–12.30
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 929b, Advanced Semiconductors and Related Devices.]
[ENAS 936bu, Systems and Control.]
ENAS 944au, Digital Communications Systems. Sekhar Tatikonda.
MW 10.30–11.45
An introduction to the rapidly expanding field of mobile and fixed, voice and data communications systems. A review of analog and digital signals and their time and frequency domain representations. Topics include modulation methods, including amplitude; frequency and time division multiplexing for continuous and discrete/digital signals; an overview of modern voice and data communications networks; and an overview of information theory, including entropy, the quantification of information, data rates, coding, and compression. Examples and demonstrations are drawn from radio, telephone, television, computer, cellular, and satellite communications networks.
ENAS 954bu, Information Theory. Edmund Yeh.
TTh 9–10.15
Foundations of information theory in communications, statistical inference, statistical mechanics, probability, and algorithmic complexity. Quantities of information and their properties: entropy, conditional entropy, divergence, mutual information, channel capacity. Basic theorems of data compression and coding for noisy channels. Applications in statistics, communication networks, and finance.
[ENAS 964bu, Communication Networks.]
[ENAS 974a, Math Tools/Biomed Signal Process.]
[ENAS 986bu, Semiconductor Silicon Devices and Microelectronics.]
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.]
ENAS 996a, SynThesis: Product Design for Entrepreneurial Teams. David Lavan.
MW 2.30–3.20
The SynThesis course is a product-based graduate course in product design and the management of innovation. 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 made up of industry representatives, venture capitalists, and product development experts.
[ENAS 996b, SynThesis: Product Design for Entrepreneurial Teams.]
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