Engineering and Applied Science
Dunham Laboratory, 432.4250
www.eng.yale.edu/
M.Eng., M.S., M.Phil., Ph.D.
Dean
Paul Fleury
Director of Graduate Studies
Eric Altman
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), Marshall Long, Tso-Ping Ma, Daniel Prober, Nicholas Read, Mark Reed, Robert Schoelkopf, Ramamurty Shankar, Mitchell Smooke, A. Douglas Stone, John Tully, Robert Wheeler (Emeritus), Werner Wolf (Emeritus)
Associate Professors
Charles Ahn, Janet Pan
Assistant Professor
Sohrab Ismail-Beig
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
Richard Carson, James Duncan, Douglas Rothman, Mark Saltzman, Fred Sigworth, Steven Zucker (Computer Science)
Associate Professors
Jacek Cholewicki, Todd Constable, Fahmeed Hyder, Lawrence Staib, Hemant Tagare
Assistant Professors
Robin de Graaf, Tarek Fahmy, Themis Kyriakides, Mark Laubach, Erin Lavik, Michael Levene, Xenios Papademetris
Fields of Study
Fields include the physics of image formation (MRI, ultrasound, nuclear medicine, and X-ray), NMR spectroscopy, PET and modeling, 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
Menachem Elimelech
Professors
Eric Altman, Menachem Elimelech, Abbas Firoozabadi (Adjunct), Thomas Graedel, Gary Haller, Michael Loewenberg, Lisa Pfefferle, Joseph Pignatello (Adjunct), Daniel Rosner, Paul Van Tassel, Kurt Zilm
Assistant Professors
Eric Dufresne, William Mitch, Chinedum Osuji, Jordan Peccia, Julie Zimmerman
Fields of Study
Fields include separation processes, catalysis, combustion, statistical mechanics of adsorption, high-temperature chemical reaction engineering, colloids and complex fluids, nanotechnology, convective heat and mass transfer, biomolecular 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, James Duncan, Jung Han, Peter Kindlmann (Adjunct), Roman Kuc, Tso-Ping Ma, A. Stephen Morse, Kumpati Narendra, Mark Reed, Peter Schultheiss (Emeritus), J. Rimas Vaisnys, Jerry Woodall (Adjunct), Steven Zucker
Associate Professors
Yiorgos Makris, Janet Pan, Lawrence Staib, Hemant Tagare, Edmund Yeh
Assistant Professors
Eugenio Culurciello, Hür Köser, Richard Lethin (Adjunct), Andreas Savvides, Hongxing Tang, Sekhar Tatikonda
Fields of Study
Fields include control systems, neural networks, communications and signal processing, wireless networks, image sensors, sensor networks, biomedical sensory systems, microelectronic materials and semiconductor devices, nanoelectronic science and technology, optoelectronic materials and devices, microelectromechanical systems (MEMS), computer engineering, and VLSI design and testing.
Environmental Engineering
Professors
Gaboury Benoit, Menachem Elimelech, Thomas Graedel, Edward Kaplan, Yehia Khalil (Adjunct), Joseph Pignatello (Adjunct), James Saiers
Assistant Professors
Michelle Bell, Ruth Blake, William Mitch, Jordan Peccia, Julie Zimmerman
Lecturer
James Wallis
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 microbes in aquatic environments, colloidal and interfacial phenomena in aquatic systems, environmental engineering microbiology, environmental molecular biology, water reuse, disinfection by-product formation, emerging contaminants, membrane separations for water quality control, industrial ecology, and chemical reactions at the mineral-water interface.
Mechanical Engineering
Chair
Mitchell Smooke
Professors
David Bercovici, 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, Daniel Rosner, Ronald Smith, Mitchell Smooke, George Veronis, Peter Wegener (Emeritus), Forman Williams (Adjunct)
Associate Professors
Jerzy Blawzdziewicz, Jacek Cholewicki, Corey O’Hern, Ainissa Ramirez, Jan Schroers, Udo Schwarz
Assistant Professors
Eric Dufresne, David LaVan, John Morrell, Hong Tang
Lecturers
Beth Anne Bennett, Kailasnath Purushothaman
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; electrospray theory and characterization; combustion and flames; computational methods for fluid dynamics and reacting flows; laser diagnostics of reacting and nonreacting flows.
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; electromigration in metallic interconnects; transient nucleation in multicomponent systems; jamming in particulate systems such as glasses, colloids, granular materials; materials science of thin films; phase transformations; MEMS materials; atomic-scale investigations of surfaces, surface interactions, and surface properties (nanomechanics); nanotribology (atomic mechanisms of friction); and nanoelasticity.
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, to be completed in the first two years. (Students registered in Applied Physics must take a minimum of twelve term courses.) Mastery of advanced math, for example, ENAS 500a or ENAS 505a, is expected. 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 unless otherwise noted by the department. With the permission of the department and the director of graduate studies, students may substitute more advanced courses that cover the same topics. No more than two courses can be Special Investigations, and at least two must be outside the area of the dissertation. Peri!
odically, 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.
Core Course Requirements for the Ph.D. Degree
Each department and program has identified math courses that will meet the math requirement:
Applied Physics: ENAS 500 or PHYS 506
Biomedical Engineering: ENAS 500 or ENAS 505
Chemical Engineering: ENAS 500 or ENAS 505
Electrical Engineering: ENAS 500 or ENAS 505
Environmental Engineering: ENAS 500 or ENAS 505
Mechanical Engineering: ENAS 500
The core courses for each department and program are as follows:
Applied Physics: Solid State Physics I (ENAS 850) and II (ENAS 851), Quantum Mechanics I (PHYS 508) and II (PHYS 608), Electromagnetic Theory I (PHYS 502), Statistical Phyics I (PHYS 512). Two of these courses may be taken in the second year.
Biomedical Engineering: Physiological Systems (ENAS 550), Physical and Chemical Basis of Biosensing (ENAS 510). One of these courses may be taken in the second year.
Chemical Engineering: Classical and Statistical Thermodynamics (ENAS 521), Energy, Mass, and Momentum Processes (ENAS 603), Chemical Reaction Engineering (ENAS 602).
Electrical Engineering (Microelectronics track): Solid State Physics I (ENAS 850), Semiconductor Silicon Devices and Technology (ENAS 986).
Electrical Engineering (System and Signals track): Linear Systems (ENAS 902), Stochastic Processes (ENAS 502).
Electrical Engineering (Computer Engineering track): Introduction to VLSI System Design (ENAS 875), Computers for Cognition (ENAS 907), and one of the following four courses: Digital Systems Testing and Design for Testability (ENAS 507), Networked Embedded Systems and Sensor Networks (ENAS 960), Advanced Integrated Circuits (ENAS 627), or Sensors and Biosensors (ENAS 628).
Mechanical Engineering: Mathematical Methods II (ENAS 501), Introduction to Continuum Mechanics (ENAS 761).
Environmental Engineering: Aquatic Chemistry (ENAS 640), Biological Processes in Environmental Engineering (ENAS 641), Environmental Physicochemical Processes (ENAS 642).
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 Degree 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., although there are no core course requirements for students in this program. 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. Only students who matriculated in Yale College during or prior to the 2004–2005 academic year are eligible for this degree program.
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 http://www.eng.yale.edu/content/GradSCourses.asp for the most updated course listing.
ENAS 500a, Mathematical Methods I. Staff.
HTBA
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 transformations, Fourier integrals in one and more dimensions, optimization, elements of ODE).
ENAS 501b, Mathematical Methods II. Jerzy Blawzdziewicz.
TTh 1–2.15
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.
MW 9–10.15
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 503a, Probabilistic Networks, Algorithms, and Applications.]
ENAS 505a, Advanced Engineering Mathematics. Charles Ahn.
HTBA
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 1–2.15
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.
TTh 11.35–12.50
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, 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.
ENAS 509au,Electronic Materials: Fundamentals and Applications. Jung Han.
MW 11.35–12.50
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 510au,Physical and Chemical Basis of 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.]
ENAS 513au,Introduction to Analysis. Staff.
TTh 1–2.15
Foundations of real analysis, including metric spaces and point set topology, infinite series, and function spaces.
ENAS 514bu,Real Analysis. Philip Gressman.
TTh 1–2.15
The Lebesgue integral, Fourier series, applications to differential equations.
ENAS 521a, Classical and Statistical Thermodynamics. Abbas Firoozabadi.
MW 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 525au,Optimization I. Eric Denardo.
TTh 1–2.20
Focus on linear programming, a resource-allocation method widely used by engineers, managers, economists, and social scientists. The theory of linear programming (the simplex method, sensitivity analysis, prices, duality, and geometry) is coupled with a survey of its principal uses.
[ENAS 530a, Nonlinear and Convex Optimization.]
ENAS 534a, Biomaterials. Camille Solbrig.
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, a connection is made to the selection of materials for use in specific biological applications by matching the material’s properties to those necessary for success in the application. Case studies address the successes and failures of particular materials from each of the classes in biological applications.
ENAS 535b, Tissue/Biomaterial Interactions. Themis Kyriakides.
HTBA
The course addresses the interactions between tissues and biomaterials, with an emphasis on the importance of molecular- and cellular-level events in dictating the performance and longevity of clinically relevant devices. In addition, specific areas such as biomaterials for tissue engineering and the importance of stem/progenitor cells, and biomaterial-mediated gene and drug delivery are addressed.
ENAS 550au,Physiological Systems. Mark Saltzman and staff.
MWF 9.25–10.15
Regulation and control in biological systems, emphasizing human physiology and principles of feedback. The physiology of membranes and membrane transport systems is discussed. The cellular and molecular principles of organ and tissue physiology are explained by coverage of major human physiological systems including renal, cardiovascular, respiratory, endocrine, digestive, and nervous systems. Also C&MP 550a, MCDB 550au.
ENAS 551au,Biomedical Engineering I: Quantitative Physiology. Tarek Fahmy.
TTh 11.35–12.50
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 553b, Immuno-Engineering. Tarek Fahmy.
TTh 2.30–3.45
This course focuses on the applications of engineering techniques and methods to the study of immunology and immunological problems. The course introduces the fundamentals of immunity, followed by examples of how quantitative analysis and biomaterial intervention have helped us shape our understanding of how the immune system works and how to repair its defects. The course is a mixture of lectures and weekly readings.
[ENAS 554bu,Biochemical Engineering: Biotechnology.]
ENAS 557bu,Biomechanics. Staff.
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. Robert Grober.
TTh 11.35–12.50
Noise is a fundamental part of every measurement. A well-designed experiment seeks to reduce the magnitude of the noise to fundamental limits while preserving the intended signal. This course introduces students to this process from both a theoretical and an experimental perspective, using MATLAB as a modeling and visualization tool.
ENAS 564au,Tissue Engineering. Erin Lavik.
MW 9.25–10.15, W 2.30–4.20
Introduction to the major aspects of tissue engineering, including materials selection, scaffold fabrication, cell sources, cell seeding, bioreactor design, drug delivery, and tissue characterization. Class sessions include lectures and hands-on laboratory work.
ENAS 570bu,Cellular and Molecular Physiology: Molecular Machines in Human Disease. Michael Caplan, Emile Boulpaep, Mark Mooseker, Fred Sigworth.
MWF 9.25–10.15
This course focuses on understanding the processes that transfer molecules across membranes at the cellular, molecular, biophysical, and physiological 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 physiological 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 1–2.15
An overview of computational vision with a biological emphasis. Suitable as an 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.
HTBA
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 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 602b, Chemical Reaction Engineering. Charles McEnally.
TTh 9–10.15
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 603b, Energy, Mass, and Momentum Processes. Daniel Rosner.
HTBA
Application of continuum mechanics approach to the understanding and prediction of fluid flow systems that may be chemically reactive, turbulent, or multiphase.
ENAS 605b, Colloidal Chemical Engineering. Paul Van Tassel.
TTh 1–2.15
A graduate-level introduction 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 608b, Surface and Surface Processes.]
ENAS 611au,Separation Processes. Yehia Khalil.
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 614b, Surface and Thin-Film Characterization. Eric Altman.
TTh 9–10.15
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.
MW 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 622b, Topics in Multiphase Chemical Reaction Engineering.]
[ENAS 627bu,Advanced Integrated Circuits.]
ENAS 628bu,Sensors and Biosensors. Eugenio Culurciello.
TTh 10.30–11.20
This course provides students with the knowledge of basic integrated analog blocks and how to combine these circuits into sensory systems for biomedical applications. Target areas are in physiology, brain-machine interfaces, neural recording and stimulation, imaging and bio-imaging. Lecture includes details on operational amplifiers, voltage amplifiers, current mode circuits, analog-to-digital converters, photo-transduction circuits, layout, simulation, and design of VLSI circuits and systems.
[ENAS 639a, Management of Water Resources and Environmental Systems.]
ENAS 640b, Aquatic Chemistry. Staff.
HTBA
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 707b.
ENAS 641b, Biological Processes in Environmental Engineering. Jordon Peccia.
MW 2.30–3.45
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, Environmental Physicochemical Processes. 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. It provides basic knowledge about the following: (a) the use of chemical and physical principles to quantify the thermodynamics and kinetics of individual processes, (b) the use of chemical structure to understand these processes at the molecular level, and (c) 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 644a, Environmental Organic Chemistry. 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.
MW 1–2.15
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 906b.
ENAS 646b, Hydrology and Water Resources. James Saiers.
MW 11.35–12.50
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 717b.
[ENAS 647b, Hydrologic Modeling.]
[ENAS 648a, Environmental Aspects of Emerging Technology.]
ENAS 649a, Policy Modeling. Edward Kaplan.
HTBA
Building on earlier course work in quantitative analysis and statistics, Policy Modeling provides an operational framework for exploring the costs and benefits of public policy decisions. The techniques employed include “back of the envelope” probabilistic models, Markov processes, queuing theory, and linear/integer programming. With an eye toward making better decisions, these techniques are applied to a number of important policy problems. In addition to lectures, assigned articles and text readings, and short problem sets, students are responsible for completing a take-home midterm exam and a number of cases. In some instances, it is possible to take a real problem from formulation to solution, and compare the student’s own analysis to what actually happened. Prerequisites: Decision Analysis and Game Theory, Data Analysis and Statistics, or a demonstrated proficiency in quantitative methods. Also MGT 611a.
[ENAS 650au,Instrumentation and Product Design.]
ENAS 658a, MEMS Design. Hür Köser.
MW 9–10.15
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 are emphasized.
[ENAS 704au,Theoretical Fluid Dynamics.]
[ENAS 705a, Numerical Simulations of Liquids.]
[ENAS 708b, Fundamentals of Combustion.]
[ENAS 718au,Heterojunction 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 11.35–12.50
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 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 785au,Microstructural Development of Materials.]
[ENAS 810a, Nonlinear Optics.]
[ENAS 811a, Stem Cells and Approaches to Repair in the Nervous System.]
ENAS 812b, Molecular Transport and Intervention in the Brain. Mark Saltzman, Richard Carson.
HTBA
This course is a graduate-level seminar on mechanisms and rates of movement of molecules in the brain and the design of novel drug delivery systems. Topics include mathematical methods for modeling diffusion and flow processes, diffusion in the brain interstitium, fluid flows in the brain and spinal cord, the blood-brain barrier, microdialysis measurements, controlled release systems, microfluidic approaches for drug delivery. Weekly readings are assigned from neuroscience and engineering texts; current papers from the literature are used to guide discussion each week. Also NSCI 612b.
[ENAS 816b, Techniques of Microwave Measurements and RF Design.]
[ENAS 817a, Noise, Dissipation, Amplification, and Information.]
ENAS 818a, Mesoscopic Physics. Michel Devoret.
MW 9–10.15
Introduction to the physics of nanoscale solid-state systems that are large and disordered enough to be described in terms of simple macroscopic parameters like resistance, capacitance, and inductance, but small and cold enough that effects usually associated with microscopic particles, like quantum-mechanical coherence and/or charge quantization, dominate. Emphasis is placed on transport and noise phenomena in the normal and superconducting regimes. Also PHYS 634a.
ENAS 821bu,Physics of Medical Imaging. Todd Constable.
MW 11.35–12.50
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 825a, Physics of Magnetic Resonance Spectroscopy in Vivo. Graeme Mason.
WF 2.30–3.45
The physics of chemical measurements performed with nuclear magnetic resonance spectroscopy, with special emphasis on applications to measurements studies in living tissue. Concepts that are common to magnetic resonance imaging are introduced. Topics include safety, equipment design, techniques of spectroscopic data analysis, and metabolic modeling of dynamic spectroscopic measurements.
ENAS 836bu,Biophotonics and Optical Microscopy. Michael Levene.
MW 4–5.15
A review of linear and nonlinear optical microscopies and other biophotonics applications. Topics include wide-field techniques, linear and nonlinear laser scanning microscopy, fundamentals of geometrical and physical optics, optical image formation, laser physics, single molecule techniques, fluorescence correlation spectroscopy, and light scattering. Discussion of fluorescence and the underlying physics of light-matter interactions that provide biologically relevant signals.
[ENAS 849b, Statistical Physics II.]
ENAS 850au and 851bu,Solid State Physics I and II. Charles Ahn.
TTh 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 852a, Quantum Many-Body Theory. Yoram Alhassid.
TTh 11.35–12.50
Second quantization, quantum statistical mechanics, Hartree-Fock approximation, linear response theory, random phase approximation, perturbation theory and Feynman diagrams, Landau theory of Fermi liquids, BCS theory, Hartree-Fock-Bogoliubov method. Applications to solids and finite-size systems such as quantum dots, nuclei, and nanoparticles. Also PHYS 610a.
[ENAS 856a, Theory of Solids I.]
[ENAS 857b, Theory of Solids II.]
[ENAS 859b, Special Topics in Optics.]
[ENAS 860a, Special Topics in Condensed Matter Physics: Quantum Hall Effect and Conformal Field Theory.]
[ENAS 863b, Introduction to Superconductivity.]
[ENAS 864a, Current Topics in Nanoelectronics, Nanomechanics, and Nanophotonics.]
ENAS 866a, MOS Device Physics and Technology. T.P. Ma.
T 3.30–5.20
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, and other MOS topics of current interest.
ENAS 875au,Introduction to VLSI System Design. Richard Lethin.
HTBA
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 students. Prerequisite: circuits at the level of introductory physics and computer programming.
[ENAS 887bu,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,Computers for Cognition. Richard Lethin.
Th 1.30–3.20
Introduction to the development of computer architectures specialized for cognitive processing, including both offline “thinking machines” and embedded devices. The history of machines, from early conceptions in defense systems o contemporary initiatives. Instruction sets, memory systems, parallel processing, analog architectures, probabilistic architectures. Application and algorithm characteristics.
ENAS 912au,Biomedical Image Processing and Analysis. 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 917au,Optical Properties of Semiconductors.]
ENAS 920a, Programming for Image Analysis. Xenophon Papademetris.
WF 2.30–3.45
Topics include using scripting languages for visualization, introduction to scripting languages, in particular Tcl, introduction to the Visualization Toolkit (Tcl) and local extensions, designing graphical user interfaces using Tk, introduction to Object Oriented programming (using [Incr Tcl]), using compiled languages to implement additional algorithms, intoduction to C++ programming, extending VTK by implementing additional image processing algorithms, an overview of the Insight Toolkit (ITK), and advanced software engineering techniques. Prerequisites: ENAS 912a, or permission of the instructor.
[ENAS 936bu,Systems and Control.]
ENAS 944au,Digital Communications Systems. Sekhar Tatikonda.
TTh 1–2.15
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. Andrew Barron.
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. Also STAT 664bu.
[ENAS 960a, Networked Embedded Systems and Sensor Networks.]
ENAS 964b, Communication Networks. Edmund Yeh.
MW 2.30–3.45
Introduction to analytical approaches to the study of communication networks. Topics include delay models, buffer overflow, multiaccess communication, routing, and congestion control. Analytical techniques include basic queueing theory, queueing networks, large deviations, optimization, and distributed algorithms. Basic knowledge of probability is required.
ENAS 986bu,Semiconductor Silicon Devices and Technology. Hong Tang.
MW 9–10.15
Introduction to 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.
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