Graduate Programs and Preliminary Exams
Major Fields of Study
 Design, Robotics, and Manufacturing (syllabus) (preliminary exams)
 Fluid Mechanics (syllabus) (preliminary exams)
 MicroNano Engineering (syllabus) (preliminary exams)
 Structural and Solid Mechanics (syllabus) (preliminary exams)
 Systems and Control (syllabus) (preliminary exams)
 Thermal Science and Engineering (TSE) (syllabus) (preliminary exams)
Minor Fields of Study
Applied Mathematics (syllabus) [Updated 1/28/2021]
A student who elects Applied Mathematics as a minor field will be held responsible for the body of knowledge contained in a coherent group of courses to be approved in advance by the Field Committee. The program must comprise at least 12 quarter units in graduate work. Committee approval of any proposed course work group will depend on such factors as the student’s major field interests, and the breadth of his or her prior mathematical course work record.
A student may satisfy the field requirements by achieving satisfactory grades in a group of courses selected as follows:
1. Three graduate courses from the Mathematics department:
https://ww3.math.ucla.edu/courses2/
2. Two graduate courses from the Mathematics department plus one additional undergraduate course from the Mathematics department (requires the approval of the Applied Mathematics field committee chair).
3. Two graduate courses from the Mathematics department plus one additional graduate course containing a high math content from Samueli Engineering (requires the approval of the Applied Mathematics field committee chair).
In addition to the graduate course work, students in this minor field are expected to be familiar with the basic material in linear algebra, differential equations, functions of complex variables, and partial differential equations.
Students formally enrolled in an approved program of courses as outlined above, and who achieve grades of “B” or better in all courses, and at least one “A,” will be deemed to have completed the minor field requirement.
A transfer student may petition the Field Committee for permission to list one course taken at another institution in his or her approved course group, provided that the course was taken by the student in graduate status.
Applied Plasma Physics (syllabus)
Applied Plasma Physics and Fusion Engineering
The field of Applied Plasma Physics and Fusion Engineering, as partial preparation for the degree of Doctor of Philosophy in Engineering, covers the subject matter described below.
Minimum Preparation for Major Field Students Examination
The Major Field Examination is an eight hour examination covering material from the syllabus. Part of the examination will cover material in the core; all students are responsible for this pan. The remainder of the examination will cover material from the elective sections of the syllabus.
In advance of the examination, each student shall inform his adviser of the core elective topics on which he wishes to be tested.
Syllabus for the Major Field Core Topics
I.
Fundamentals of plasma
physics (MAE M185)
A.
Particle motion in
electromagnetic field; adiabatic invariants
B.
Fluid equations and
diamagnetic drifts
C.
Debye shielding; plasma
sheaths
D.
Maxwell’s equations
in the plasma; the equivalent dielectric tensor
E.
Electrostatic and electromagnetic
plasma waves at principal angles to a magnetic field; cutoffs and resonances
F.
Diffusion in partially
ionized gases
G.
Resistivity and diffusion
in fully ionized gases; In A. factor; magnetic viscosity
H.
Magnetohydrodynamic
{MHD) theory
1.
Singlefluid equations
2.
Hydromagnetic equilibrium
in confinement geometries
3.
Basic types of instabilities
I.
Kinetic theory; Vlasov
equation and Landau damping
J.
Anomalous transport
processes K. Basic diagnostic techniques
II.
Fundamentals of fusion
engineering (MAE 137)
A.
Fusion reactions and
fuel cycles; thermonuclear conditions; Lawson and ignition criteria
B.
Magnetic mirror confinement:
tandem mirrors, energy and particle flows, power balance
C.
Toroidal magnetic confinement:
tokamak, stellarator, reversedfield pinch
D.
Startup and burningplasma
analysis
E.
Inertial confinement
laser and particle beam drivers; concepts of compression, central ignition,
and burnwave propagation
F.
Fusion blanket design
and nuclear analysis; tritium breeding: induced radioactivity
G.
Fissionfusion hybrids
H.
Tritium: inventor,
methods of recovery
I.
Magnets: superconductivity;
structural design
J.
Radiation damage to
materials: influence on design
K.
Designs of fusion reactors
Elective Topics
III.
Linear waves in uniform
plasmas (EE28SA)
A.
Waves in cold and warm
plasmas: CMA diagram; phase velocity surfaces; polarization and particle
orbits; Fredericks and Stringer diagrams for lowfrequency
waves
B.
Electromagnetic waves:
ordinary and extraordinary waves, AppletonHartree formula, microwave
diagnostics. Alfven waves whistlers, e.m., cyclotron waves
C.
Electrostatic waves:
BohmGross waves, ion acoustic waves. twoion hybrid waves, e.g. cyclotron
waves
D.
Wave packets and group
velocity in anisotropic media; resonance cones
E.
Waves in hot plasmas:
Bernstein modes. cyclotron harmonics, Landau and cyclotron damping
F.
Damping and excitation
of waves: resistivity. viscosity, neutral collisions, resonant particles;
grids, coils
G.
Waves in bounded plasmas;
TrivelpieceGould modes
H.
Accessibility and tunneling
I.
R. F. heating of plasmas
J.
TonksDattner resonances
IV.
Waves and instabilities
in nonuniform plasmas (EE28SB)
A.
Beamplasma interactions;
convective and absolute instabilities
B.
Streaming instabilities;
Penrose criterion; currentdriven instabilities
C.
Energy and momentum
of waves; positive and negative energy waves
D.
Drift waves and universal
instabilities
E.
KelvinHelmholtz instabilities
F.
Instabilities in partially
ionized gases (SimonHoh. KadomtsevNedospasov)
G.
Wave propagation in
inhomogeneous plasmas: Budden tunneling, resonance absorption
H.
Ponderomotive force.
optical mixing, parametric decay and OTS, stimulated Brillouin and Raman
scattering, filamentation, twoplasmon decay; saturation mechanisms
I.
Nonlinear waves; KortwegdeVries
and nonlinear Schrödinger equations; shock waves, solitons
J.
Quasilinear diffusion
V.
Magnetic confinement
of plasmas (EE286’MAE237 A)
A.
MHD equilibrium: simple
axisymmetric configurations, virial theorem, forcefree fields, rotational
transform and toroidal equilibrium; GradShafranov equation
B.
MHD stability: energy
principle. interchange and kink instabilities, Suydam criterion, Kroskal
limit, shear, and minB stabilization. finite Larmor radius stabilization
C.
Microinstabilities:
drift, ballooning, tearing, and trapped particle modes
D.
Toroidal confinement
1.
Tokamaks: banana orbits,
q and Q, islands, sawteeth, Mirnov oscillations, disruptions, impurity
diffusion, runaway electrons, Alcator and Murakami scaling, elongated
cross sections, flux conservation, profile consistency
2.
Neoclassical and PfirschSchlüter
diffusion
3.
Convective and poloidal
Bohm diffusion
4.
MinimumB devices:
multipoles, spherators, levitrons
E.
Mirror confinement
1.
Ioffe bars, minK principle
2.
Velocity space diffusion
and electron drag
3.
The DCLC instability
and its control
4.
Tandem mirrors, axisymmetric
plugs, thermal barriers
5.
Field reversal; compact
torus
F.
Plasma heating; ohmic
heating, neutral beam injection, rf heating and current drive, magnetic
pumping
VI.
Plasma diagnostics
(Phys. 180E. EE282B. EE289S)
A.
Faraday rotation, microwave
interferometry and scattering
B.
Langmuir probes
C.
Neutral and ion beam
probes
D.
Magnetic probes, Rogowski
coils. diamagnetic loops
E.
Optical and uv spectroscopy
F.
Soft xray diagnostics
G.
Synchrotron radiation
H.
Particle detectors
and velocity analyzers
I.
Laser diagnostics:
Thomson scattering and holography in the farIR, IR, and visible
VII.
Fusion plasma physics
and analysis (MAE237B/EE287)
A.
Plasma energy and particle
balance
B.
Radiation processes:
bremsstrahlung, synchrotron and recombination radiation
C.
Atomic processes in
plasmas; impurities
D.
FokkerPlanck equation;
equilibrium and slowing down rates
E.
Plasma heating; neutral
beam injection
F.
Plasma burn modes;
burn kinetics and thermal stability; Q calculation of driven plama reactors
G.
Mirror reactor physics;
tandem mirror burn dynamics
H.
Tokamak reactor physics;
β limits, transport, startup and burn dynamics
VIII.
Plasma engineering and technology (MAE237B/EE287,
MAE237C/EE288)
A.
Plasmasurface interactions
B.
Physics and technology
of limiters, divertors, and direct converters
C.
Plasma fueling
D.
Technology of plasma
heating: neutral beams. rf. lasers, pulsed power, heavy ion accelerators
IX.
Fusion engineering and reactor design (MAE237C/EE288)
A.
Fusion reactor concepts
and designs)
B.
Neutronics: nuclear
responses, nuclear heating, radioactivity
C.
Fuel cycle: function,
description, analysis
D.
Blanket function and
design
E.
Selfcooled liquid
metal blankets
F.
Solid breeder blankets
G.
Invessel components;
first wall, limiter, divertor
H.
Radiation shielding:
design and analysis
I.
Magnet systems: normal
and superconducting magnet design, cryogenic stability, radiation effects
X.
Nuclear fuel element
behavior (MAE236A)
A.
Fuel swelling due to
fission gases
B.
Pore migration and
fuel restructuring kinetics
C.
Fission gas release
D.
Mechanical properties
of fuel materials
E.
Structural behavior
of fuel elements and assemblies
XI.
Radiation damage in
reactor materials (MAE236B)
A.
Ion transport in solids
B.
Theory of collision
cascades
C.
Ion ranges
D.
Damage and ion distributions
E.
Backscattering and
reflection
F.
Sputtering and blistering
G.
Displacement damage
H.
Microstructure evolution
and kinetic behavior
I.
Relationship to mechanical
properties
J.
Embrittlement, swelling,
irradiation creep
XII.
Nuclear reactor theory
(MAE235A)
A.
Physics and mathematics
of fission reactor core design
B.
Diffusion theory
C.
Reactor kinetics
D.
Slowing down and thermalization
E.
Multigroup method
F.
Cell calculations for
heterogeneous core lattices
XIII.
Kinetic theory of plasmas and particle
transport (MAE235B)
A.
Transport phenomena
B.
Liouville equation,
Boltzmann collision integral and Htheorem
C.
FokkerPlanck, neutron
and radiation transport equations
D.
Fluid moment equations
E.
Dispersion relations
F.
Space and time relaxation
phenomena
XIV.
Reactor thermal hydraulic design (MAE136)
A.
Thermal hydraulic design
of various nuclear power reactor concepts
B.
Power cycles
C.
Power generation and
heat removal
D.
Thermal and hydraulic
and component design
E.
Overall plant design
F.
Startup, steadystate,
and transient operation
XV.
Convective heat transfer
(MAE231A)
A.
Conservation equations
for mass, momentum, and energy
B.
Similarity in forced
and free convection
C.
Laminar boundary layer
equations
D.
Similarity solutions
for constant property twodimensional boundary layer
E.
Laminar flow in ducts
F.
Transport in turbulent
flows
G.
Turbulent forced convection
external boundary layers
H.
Turbulent flow in ducts
I.
Laminar and turbulent
free convection boundary layers
XVI.
Numerical methods for engineering applications
(MAE192C)
A.
Matrix algebra
B.
Lagrange interpolation
and quadrature methods
C.
Numerical solutions
for ordinary differential equations
1.
Initial value problems
2.
Boundary value problems
D.
Numerical solutions
for partial differential equations
1.
Parabolic
2.
Elliptic
3.
Hyperbolic
E.
Integral equations
Minimum Preparation for Major Field
Students
The body of knowledge in Sections I and II, in two of Sections
III through XIII, and in two others of Sections III through XVI.
Recommended Course Preparation
Major Field
Students
selecting Applied Plasma Physics and Fusion Engineering as their major
field are responsible for the core sections I and II comprising material
contained in EE185 and MAE137. In addition to this core material, students
are to choose four elective sections from those numbered ill through
XVI. The material described in sections ill through XVI is contained
in one or more appropriate courses, as indicated in the syllabus for
each section. Those students who wish to emphasize applied plasma physics
in the Ph.D. dissertation research should select the majority of their
four electives from sections IIIIX. Students wishing to emphasize fusion
engineering in their PhD. dissertation research should select the majority
of their four electives from Sections VIIIXVI. Thesis students should
be familiar with the current literature in their chosen field of research
and become acquainted with recent developments in plasma physics and
fusion engineering by attending the various seminars, colloquia. and
tutorials offered by the faculty, staff, and visitors working in the
field.
Minor Field
Students
electing Applied Plasma Physics and Fusion Engineering as a minor field
can satisfy the minor requirement by taking EE185 or MAE135D and two
courses from the following list:
EE285A, 2858, 286 (MAE237A),
Phys. 180E, 222A, MAE2378 (EE287), M237C (EE288), 236B, 235B
References
The following books can be helpful to students emphasizing applied plasma physics:
1.
F. Chen, “Introduction
to Plasma Physics,” 2nd ed., Plenum, 1983. (EE185)
2.
Schmidt, “Physics
of High Temperature Plasmas,” Academic Press, 1979. (EE286/MAE237A, Phys. 222)
3.
N. Krall and A. W.
Trivelpiece, “Principles of Plasma Physics,” McGrawHill, 1973. (Phys. 222)
4.
T. H. Stix, “Theory
of Plasma Waves,’. McGrawHill, 1962. (EE285AB)
5.
L. Spitzer, Jr., “Physics
of Fully Ionized Gases,” 2nd ed., Wiley, 1962. (EE185, 285A, EE2861MAE237A)
6.
V. L. Ginzburg, “The
Propagation of Electromagnetic Waves in Plasmas,” Pergamon Press, 1964. (EE2858)
7.
R. Huddlestone and
S. Leonard, e&., “Plasma Diagnostic
Techniques,” Academic Press, 1965. (MAE2378/EE287)
8.
K. Nishikawa and C.
S. Liu, “Parametric Instabilities in Plasma” in Advances
in Plasma Physics, Vol. 6, ed. by A. Simon and W. B. Thompson,
WileyInterscience, 1976. (EE2858)
9.
B. Milhailovsky, “Theory
of Plasma Instabilities,” Vols. 1 and 2, Consultants Bureau, 1974.
10.
E. Keen, ed., “Plasma
Physics,” Institute of Physics, London, 1974.
11.
E. Sindoni and C. Wharton,
eds., “Diagnostics for Fusion Experiments,” Pergamon Press, 1979.
12.
W. LochteHoltgreven,
ed., “Plasma Diagnostics,” North Holland, 1968.
13.
N. C. Luhmann, Jr.,
“Instrumentation and Techniques for Plasma Diagnostics: An Overview,”
in Infrared and Millimeter Waves, ed. by K. J. Button, Vol. II,
Academic Press, 1979.
14.
“Review Modem
Fusion Diagnostics,” to be published in Review of Scientific Instruments
(a)
N. C. Luhmann and W.
A. Peebles Magnetic Confinement Diagnostics
(b)
M. Campbell Inertial
Confinement Diagnostics
15.
“Nonlinear Wave
Effects in Laboratory Plasmas: A Comparison Between Theory and Experiment,”
M. Porkolab and R. P. H. Chang, Review of Mod. Phys. ~ 745 (1978).
16.
“Waves and Microinstabilities
in Plasmas,”
(a)
Linear Effects: J.E.
Allen and A. D. R. Phelps, Rep. Prog. Phys. 40, 1305
(b)
Nonlinear Effects:
R. N. Franklin, Rep. Prog. Phys. 40 1369 (1977).
The
following books can be helpful to students emphasizing fusion physics
and engineering:
1.
R. A. Gross, “Fusion
Energy,” Wiley & Sons, 1982. (MAE137)
2.
R. W. Conn, “Magnetic
Fusion Reactors,” in ~ ed. by E. Teller, Vol. IB, pp. 193410,
Academic Press, 1981. (MAE137)
3.
T. J. Dolan, “Fusion
Research,” Vols. 13, Pergamon Press, 1982. (MAEI37)
4.
W. M. Stacey, Jr.,
“Fusion Plasma Analysis,” Wiley, 1981. (EE286/MAE237A, MAE237B/EE287)
5.
P. Shkarofsky, T. W.
Johnston and M. P. Bachynski, “The Particle Kinetics of Plasmas,”
Addison Wesley, 1966. (EE287/MAE237B)
6.
J. Duderstadt and G.
A. Moses, “Inertial Confinement Fusion,” Wiley 1982. (MAE237B/EE287)
7.
J. Rose and M. Clark,
“Plasmas and Controlled Fusion,” M.I.T. Press, 1961. (EE286’MAE237
A, MAE237B/EE287, MAE237C/EE288)
8.
B. Davison, “Neutron
Transport Theory,” Oxford University Press, 1958. (MAE235A)
9.
Bell and S. Glasstone, “Nuclear Reactor
Theory,” Van Nostrand, 1970. (MAE235A)
10.
J. J. Duderstadt and
W. R. Martin, “Transport Theory,” Wiley, 1979. (MAE235A)
11.
Clark and K. Hans en,
“Numerical Methods of Reactor Analysis,” Academic Press, 1964.
(MAE235C)
12.
Greenspan, C. N. Kleber,
and D. Okrent, “Computing Methods in Reactor Physics,” Gordon
and Breach, 1968. (MAE235C)
13.
R. W. Varga, “Matrix
Interactive Analysis,” PrenticeHall, 1962). (MAE235C)
14.
R. D. Richtmyer and
K. W. Morton, “Difference Methods for InitialValue Problems,”
2J1d Ed., WileyInterscience, 1967. (MAE235C)
15.
D. R. Orlander, “Fundamental
Aspects of Nuclear Reactor Fuel Elements,’” Technical Information Center, Dept of Energy, 1976. (MAE136C, 236B)
16.
Y. Y. Hsu and R. W.
Graham, “Transport Processes in Boiling and TwoPhase Systems,”
McGraw Hill, 1976. (MAE231C)
17.
R. T. Lahey and F.
J. Moody, “Thermal Hydraulics of Boiling Water Reactors,”
American Nuclear Society, 1977. (MAE231C)
18.
M. EIWakil, “Nuclear
Power Engineering,” McGrawHill, 1962 (MAE136B)
19.
W. Thompson, “Defects
and Radiation Damage in Metals,” Cambridge University Press, 1969. (MAE236B )
20.
L. T. Chadderton, “Radiation
Damage in Crystals,” Methaen and Co., 1965. (MAE236B)
Literature: Pertinent Journals and
Serial Publications
Nuclear
Fusion
Physical
Review Letters
Applied
Physics Letters
Physics
of Fluids
Plasma
Physics and Controlled Fusion
Soviet
Journal of Plasma Physics
IEEE
Trans. on Plasma Science Journal of Fusion Energy
Nuclear
Technology
Fusion
Technology
Nuclear
Science and Engineering
Nuclear
Engineering and Design/Fusion
Journal
of Nuclear Materials
Journal
of Heat Transfer
Comments
on Plasma Physics and Controlled Fusion
Transactions
of the American Nuclear Society
Plasma
Physics and Controlled Nuclear Fusion Research:
1961, 1965, 1968, 1971,
1974, 1976, 1978, 1980, 1982, 1984
Published every other year
by the International Atomic Energy Agency, Vienna
SIAM J. of Computational Physics
J.
of Vacuum Science and Technology
Inter.
Journal of Infrared and Millimeter Waves
Review
of Scientific Instruments
Data Science and Machine Learning (syllabus)
Academic Minor in Data Science and Machine Learning for PhD Program in MAE
A student who elects “Data Science and Machine Learning” as a minor field will be held responsible for the body of knowledge contained in a coherent group of courses to be approved in advance by the Field Committee. The program must comprise at least 12 quarter units and 3 courses in graduate work. Committee approval of any proposed course work will depend on such factors as the student’s major field interests, and the breadth of his or her prior coursework record in data science and machine learning. At a minimum, the course work should include three courses from the following classes. Restrictions:
 At least two courses from Group 1 (or one from Group 1 and one from Group 2)
 Maximum of one course from Group 3
 Maximum of one course from Group 4
 Courses cannot be simultaneously used to satisfy major or ad hoc minor requirements.
 300, 400, and 500level courses cannot be used.
 MAE 260 cannot be used
 Group 1

 ECE 219. LargeScale Data Mining: Models and Algorithms
 ECE 246. Foundations of Statistical Machine Learning
 ECE C247. Neural Networks and Deep Learning
 COMSCI 245. Big Data Analytics
 COMSCI 247. Advanced Data Mining
 COMSCI 260. Machine Learning Algorithms
 COMSCI 262A. Learning and Reasoning with Bayesian Networks
 COMSCI 263. Natural Language Processing
 COMSCI 265A. Machine Learning
 COMSCI 267A. Probabilistic Programming and Relational Learning
 STATS 201B. Statistical Modeling and Learning
 COMSCI/STATS M231A. Pattern Recognition and Machine Learning
 STATS 231B. Methods of Machine Learning
 STATS 231C. Theories of Machine Learning
 COMSCI/STATS M232A. Statistical Modeling and Learning in Vision and Cognition
 COMSCI/STATS M232B. Statistical Computing and Inference in Vision and Cognition
 STATS 232C. Cognitive Artificial Intelligence
 Any other course approved by the field committee
 Group 2

 ECE M148. Introduction to Data Science
 STATS C161. Introduction to Pattern Recognition and Machine Learning
 COMSCI/ECE M146. Introduction to Machine Learning
 ECE 133A. Applied Numerical Computing
 ECE 133B. Simulation, Optimization, and Data Analysis
 Any other course approved by the field committee
 Group 3: One 4unit graduatelevel course on linear programming, optimization, or relevant topics. Examples include:

 ECE 236A. Linear Programming
 ECE 236B. Convex Optimization
 Any other course approved by the field committee
 Group 4: One 4unit seminar or specialized course only if the topic is related to data science or machine learning. Examples include:
 MAE 259A. Seminar: Advanced Topics in Fluid Mechanics
 MAE 259B. Seminar: Advanced Topics in Solid Mechanics
 MAE 271D. Seminar: Special Topics in Dynamic Systems Control
 ECE 239AS. Special Topics in Signals and Systems
 COMSCI CM224. Machine Learning Applications in Genetics
 COMSCI M226. Machine Learning in Bioinformatics
 COMSCI M268. Machine Perception
 Any other course approved by the field committee
MAJORS
DESIGN, ROBOTICS, AND MANUFACTURING
Greg Carman, Tyler Clites, Rajit Gadh, Dennis Hong, Jonathan Hopkins, Xiaochun Li, Jacob Rosen (Chair), Veronica Santos, TsuChin Tsao
The program is developed around an integrated approach to manufacturing and mechanical product design. It includes research on material behavior (physical and mechanical) in manufacturing processes and design; design of mechanical systems (for example, power, microelectromechanical systems and transportation); design methodology; automation, robotics and unmanned machinery; manufacturing and mechanical systems(reliability, safety, and optimization); CAD/CAM theory and applications; computational geometry and geometrical modeling, composite structure; beam and plasma assisted manufacturing.
FLUID MECHANICS
Jeff Eldredge, Ann Karagozian, Pirouz Kavehpour, Neil Lin, Mitchell Spearrin, Sam Taira (Chair), Xiaolin Zhong
This program includes experimental, numerical, and theoretical studies related to topics on fluid mechanics such as stratified and rotating flows, thermal convection, interfacial phenomena, acoustically driven combustion flows, highspeed combustion, hazardous waste incineration, laser diagnostics, aerodynamic noise production, unsteady aerodynamics of fixed and rotary wings, flow instabilities and transition, turbulence, flow control, and microscale fluid mechanics.
MICRONANO ENGINEERING
Greg Carman, Yong Chen, PeiYu Chiou, Artur Davoyan, Tim Fisher, Vijay Gupta, Yongjie Hu, Lihua Jin, Y. Sungtaek Ju, Pirouz Kavehpour, ChangJin Kim (Chair), Xiaochun Li, Neil Lin, Laurent Pilon
The MicroNano Engineering program focuses on the integration of science, engineering, and technology in the length scale of micrometers and nanometers. The study topics include science, fabrication technologies, devices, systems, material processing, intelligent material systems, flow phenomena, heat transfer, and biotechnologies at the micron/nano scales. The program is highly interdisciplinary in nature.
STRUCTURAL AND SOLID MECHANICS
Greg Carman, Vijay Gupta (Chair), M. Khalid Jawed, Lihua Jin, Xiaochun Li
The solid mechanics program features theoretical, numerical and experimental studies, including fracture mechanics and damage tolerance, micromechanics with emphasis on technical applications, wave propagation and nondestructive evaluation, mechanics of composite materials, mechanics of thin films and interfaces, and investigation into coupled electromagnetothermomechanical material systems. The structural mechanics program includes structural dynamics with applications to aircraft and spacecraft, fixedwing and rotarywing aeroelasticity, fluid structure interaction, computational transonic aeroelasticity, structural optimization, finite element methods and related computational techniques, structural mechanics of composite material components, and analysis of adaptive structures.
SYSTEMS AND CONTROL
Elisa Franco, Tetsuya Iwasaki, Neil Lin, Brett Lopez, Robert M’Closkey, Jacob Rosen, Veronica Santos, Jason Speyer, TsuChin Tsao (Chair)
This program features systems engineering principles and applied mathematical methods of modeling, analysis, and design of continuous and discretetime control systems. Emphasis is on computational methods, simulation, and modern applications in engineering, system concepts, applied optimal control, differential games, and computer process control. This field covers a broad spectrum of topics, emphasizing primarily aerospace and mechanical engineering applications.
THERMAL SCIENCE AND ENGINEERING (TSE)
Vijay Dhir, Tim Fisher, Yongjie Hu (Chair), Y. Sungtaek Ju, Pirouz Kavehpour, Adrienne Lavine, Laurent Pilon
This program includes studies of convection, radiation, conduction, evaporation, condensation, boiling, twophase flow, chemically reacting and radiating flow, instability and turbulent flow, and reactive flows in porous media.
MINORS
APPLIED MATHEMATICS
Jason Speyer, Chair
Students opting for Applied Mathematics as a minor field are responsible for the body of knowledge contained in a coherent group of courses offered by the School of Engineering and/or the Mathematics Department. The program must consist of at least twelve quarter units of graduate study. In addition to the graduate course work, students in this minor field are expected to be familiar with the basic material in linear algebra, differential equations, vector calculus, functions of complex variables, and advanced calculus.
DATA SCIENCE AND MACHINE LEARNING
(Chair TBD)
A student who elects “Data Science and Machine Learning” as a minor field will be held responsible for the body of knowledge contained in a coherent group of courses to be approved in advance by the Field Committee. The program must comprise at least 12 quarter units and 3 courses in graduate work. Committee approval of any proposed course work will depend on such factors as the student’s major field interests, and the breadth of his or her prior coursework record in data science and machine learning.