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
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, Ramamurty
Shankar, Mitchell Smooke, A. Douglas Stone, John Tully, Robert
Wheeler (Emeritus), Werner Wolf (Emeritus), Jerry Woodall
Associate Professors
Sean Barrett, Robert Schoelkopf
Assistant Professors
Charles Ahn, 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, and medical instrumentation.
Biomedical
Engineering
Professors
James Duncan, Robert Grober, Csaba Horváth, Steven
Segal, Mark Saltzman, Fred Sigworth, Steven Zucker
Associate Professors
Lawrence Staib, Hemant Tagare
Assistant Professors
Jacek Cholewicki, Erin Lavik
Chemical Engineering
Chair
John Walz
Professors
Eric Altman, Daniel Crothers (Adjunct), Menachem Elimelech,
Abbas Firoozabadi (Adjunct), Thomas Graedel, Gary Haller,
Csaba Horváth, Lisa Pfefferle, Joseph Pignatello (Adjunct),
Daniel Rosner, John Walz, L. Lee Wikstrom (Adjunct), Kurt
Zilm (Adjunct)
Associate Professors
Gaboury Benoit, Michael Loewenberg, Paul Van Tassel
Assistant Professors
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, Steven Zucker
Associate Professors
Jung Han, Lawrence Staib, Hemant Tagare
Assistant Professors
Hur Koser, Richard Lethin (Adjunct), Yiorgos Makris, Janet
Pan, Sekhar Tatikonda, Edmund Yeh
Fields of Study
Fields include control systems, neural networks, communications
and signal processing, wireless networks, intelligent sensors,
biomedical image processing, microelectronic materials and
semiconductor devices, nanoelectronic science and technology,
optoelectronic materials and devices, computer engineering,
computer architecture, VLSI design and testing, and computer
vision.
Mechanical Engineering
Chair
Marshall Long
Professors
Ira Bernstein (Emeritus), Boa-Teh Chu (Emeritus), Juan Fernández
de la Mora, Alessandro Gomez, Robert Gordon, 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 Professor
Jacek Cholewicki, Udo Schwarz, Wei Tong
Assistant Professors
Jerzy Blawzdziewicz, Corey O’Hern, Ainissa Ramirez,
David Wu, Bjong Yeigh (Adjunct)
Lecturers
Beth Anne Bennett, Natalie Jeremijenko, 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.
Program in Environmental Engineering
Professors
Gaboury Benoit, Menachem Elimelech, Thomas Graedel, Lisa Pfefferle,
Joseph Pignatello (Adjunct), Daniel Rosner, Karl Turekian,
John Walz
Associate Professors
James Saiers
Assistant Professors
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.
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. 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. The student will
take a competence examination in departmentally specified
core areas by the end of September in the third term. If the
student passes, with a grade of Honors, the relevant course(s)
in a given core area and if there is unanimous approval of
the student’s advisory committee, the DGS may waive
the portion of the competence examination requirement in that
particular core area. 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 www.eng.yale.edu/GIF/grad/courses.html
for the most updated course listing.
NAS 500a, Mathematical Methods I. Staff. 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. Staff. 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 2.30–3.45
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. Yiorgos
Makris. MW 1–2.15
Introduction to the fundamental concepts, algorithms,
and design techniques for testing digital systems. 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. MW 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 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. MW 11.30–12.45
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 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 550au, Physiological Systems. Steven
Segal and staff. MWF 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. 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 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.]
ENAS 602a, Chemical Reaction Engineering. Dragos
Ciuparu. M 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 603b, 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 1–2.15
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. Eric
Altman. TTh 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 610a, Advanced Topics in Bioseparations.]
ENAS 611au, Separation Processes. John Walz. 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 614a, Surface Spectroscopy.]
[ENAS 618b, Catalysis: An Integrated Approach.]
[ENAS 619b, Advanced Transport: Topics in Multiphase
Chemical Reaction Engineering.]
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.]
ENAS 642a, 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, Geographic Information Systems (GIS) in
Water Resources and Environmental Engineering.]
ENAS 645b, Industrial Ecology. Thomas Graedel,
William Ellis. 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. Jeffrey
Albert. 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. MW 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. 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 704au, Theoretical Fluid Dynamics. Staff. TTh 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 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. Alessandro
Gomez. TTh 2.30–3.45
Review of relevant aspects of chemical thermodynamics
and chemical kinetics. Explosion and oxidation of fuels. Laminar
premixed fuels. Detonations. Diffusion flame and droplet burning.
ENAS 709a, Special Topics in Combustion. Staff. TTh 2.30–3.45
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. 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.]
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. Jerzy
Blawzdziewicz. TTh 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. MW 1–2.15
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 786a, Mechanical Behavior of Material.]
[ENAS 789a, Turbulence and Related Problems.]
[ENAS 810b, Nonlinear Optics.]
[ENAS 815b, Detection of Radiation.]
ENAS 818a, Mesoscopic Physics. Michel Devoret.
TTh 9–10.30
Introduction to the physics of nanoscale solid-state systems
which 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 11.30–12.45
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
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 859a, 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 675a.
ENAS 860b, Special Topics in Condensed Matter Physics:
Nonequilibrium Dynamics and Pattern Formation. Pierre
Hohenberg. HTBA
Stationary and time-dependent spatial patterns are studied
in extended systems driven away from equilibrium. A variety
of mathematical models are introduced to describe phenomena
such as bifurcations, ordered spatial patterns, defect patterns,
excitability, and spatiotemporal chaos. The predictions of
the models are compared to experiments in fluids (Rayleigh-Benard
convection), oscillatory chemical reactions, electrical excitation
of heart tissue, and other systems. Prerequisites: graduate
courses in statistical physics and mathematical methods. Also
PHYS 667b.
[ENAS 863b, Introduction to Superconductivity.]
[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.
Sekhar Tatikonda. MW 11.30–12.45
Sequential decision making via dynamic programming. Unified
approach to optimal control of stochastic dynamic systems
and Markovian decision problems. Applications in communications,
control, and networking. Infinite horizon problems. Value
and policy iteration. Approximations and reinforcement learning.
ENAS 902a, Linear Systems. A. Stephen Morse. MW 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. Staff. 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. Daniel
Friendly. TTh 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 and Neural Networks.]
[ENAS 912au, Digital Image Processing.]
[ENAS 913a, Advanced Topics in Medical Imaging and Computer
Vision.]
[ENAS 917bu, Optical Properties of Semiconductors.]
[ENAS 918b, Data/Telecommunication Technology.]
[ENAS 919b, Advanced Heterojunction Devices.]
[ENAS 928b, Compound Semiconductor Materials Science,
Processing, Devices, and Characterization.]
[ENAS 929b, Advanced Semiconductors and Related Devices.]
ENAS 936bu, Systems and Control. Kumpati
Narendra. TTh 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 944au, Digital Communications Systems. Edmund
Yeh. MW 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.
ENAS 974a, Math Tools/Biomed Signal Process. Elvir
Causevic. Th 4–7
Application-intensive approach to biomedical signal processing
and application of mathematical tools. Review of signals and
systems theory. Fourier analysis, sampling theorem, discrete
signal processing. Noise characteristics of real-world biosignals—biologic,
sensor, electronics, and digital processing noise. Linear
and adaptive filtering. Wavelet representation, including
wavelet packet decomposition. Denoising, compression, classification/feature
extraction applications to 1D and image biosignals. Review
of practical considerations in medical device design as relates
to signal processing, scalability, robustness, testability,
algorithm complexity, and regulatory issues. Also MATH
974a.
ENAS 986bu, Semiconductor Silicon Devices and Microelectronics. Tso-Ping
Ma. MW 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. Natalie Jeremijenko. TTh 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 composed
of industry representatives, venture capitalists, and product
development experts.
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