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CME 102: Ordinary Differential Equations for Engineers (ENGR 155A)

Analytical and numerical methods for solving ordinary differential equations arising in engineering applications: Solution of initial and boundary value problems, series solutions, Laplace transforms, and nonlinear equations; numerical methods for solving ordinary differential equations, accuracy of numerical methods, linear stability theory, finite differences. Introduction to MATLAB programming as a basic tool kit for computations. Problems from various engineering fields. Prerequisite: CME 100/ENGR 154 or MATH 51.
Terms: Win, Spr, Sum | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR
Instructors: ; Le, H. (PI); Moin, P. (PI)

CME 106: Introduction to Probability and Statistics for Engineers (ENGR 155C)

Probability: random variables, independence, and conditional probability; discrete and continuous distributions, moments, distributions of several random variables. Topics in mathematical statistics: random sampling, point estimation, confidence intervals, hypothesis testing, non-parametric tests, regression and correlation analyses; applications in engineering, industrial manufacturing, medicine, biology, and other fields. Prerequisite: CME 100/ENGR154 or MATH 51.
Terms: Win, Sum | Units: 3-4 | UG Reqs: GER:DB-Math, WAY-AQR, WAY-FR
Instructors: ; Khayms, V. (PI)

CME 108: Introduction to Scientific Computing (MATH 114)

Introduction to Scientific Computing Numerical computation for mathematical, computational, physical sciences and engineering: error analysis, floating-point arithmetic, nonlinear equations, numerical solution of systems of algebraic equations, banded matrices, least squares, unconstrained optimization, polynomial interpolation, numerical differentiation and integration, numerical solution of ordinary differential equations, truncation error, numerical stability for time dependent problems and stiffness.nImplementation of numerical methods in MATLAB programming assignments.nPrerequisites: MATH 51, 52, 53; prior programming experience (MATLAB or other language at level of CS 106A or higher).
Terms: Win, Sum | Units: 3-4 | UG Reqs: GER:DB-EngrAppSci, WAY-AQR, WAY-FR
Instructors: ; Navalpakkam Srinivasan Acharya, S. (PI); Sing Long Collao, C. (PI)

CME 291: Master's Research

Students require faculty sponsor. (Staff)
Terms: Aut, Win, Spr, Sum | Units: 1-6 | Repeatable for credit
Instructors: ; Aiken, A. (PI); Alonso, J. (PI); Bambos, N. (PI); Biondi, B. (PI); Boneh, D. (PI); Boyd, S. (PI); Butte, A. (PI); Candes, E. (PI); Carlsson, G. (PI); Constantinou, C. (PI); Darve, E. (PI); Davis, R. (PI); Diaconis, P. (PI); Donoho, D. (PI); Farhat, C. (PI); Fedkiw, R. (PI); Feinstein, J. (PI); Fringer, O. (PI); Fruchter, R. (PI); Gerritsen, M. (PI); Giesecke, K. (PI); Glynn, P. (PI); Goel, A. (PI); Golub, G. (PI); Guibas, L. (PI); Hanrahan, P. (PI); Harris, J. (PI); Jameson, A. (PI); Johari, R. (PI); Kahn, S. (PI); Kamvar, S. (PI); Khayms, V. (PI); Koltun, V. (PI); Langley, P. (PI); Lele, S. (PI); Leskovec, J. (PI); Levinson, D. (PI); Lew, A. (PI); Liu, T. (PI); Manning, C. (PI); McFarland, D. (PI); Mignot, E. (PI); Moin, P. (PI); Murray, W. (PI); Napel, S. (PI); Ng, A. (PI); Papanicolaou, G. (PI); Rajaratnam, B. (PI); Reed, E. (PI); Saberi, A. (PI); Saunders, M. (PI); Shaqfeh, E. (PI); Taylor, C. (PI); Wara, M. (PI); Wechsler, R. (PI); Wong, W. (PI); Ye, Y. (PI); Zenios, S. (PI)

CME 364A: Convex Optimization I (CS 334A, EE 364A)

Convex sets, functions, and optimization problems. The basics of convex analysis and theory of convex programming: optimality conditions, duality theory, theorems of alternative, and applications. Least-squares, linear and quadratic programs, semidefinite programming, and geometric programming. Numerical algorithms for smooth and equality constrained problems; interior-point methods for inequality constrained problems. Applications to signal processing, communications, control, analog and digital circuit design, computational geometry, statistics, machine learning, and mechanical engineering. Prerequisite: linear algebra such as EE263, basic probability.
Terms: Win, Sum | Units: 3
Instructors: ; Boyd, S. (PI); Ryu, E. (PI)

CME 390: Curricular Practical Training

May be repeated three times for credit.
Terms: Aut, Win, Spr, Sum | Units: 1 | Repeatable 3 times (up to 3 units total)
Instructors: ; Murray, W. (PI)

CME 399: Special Research Topics in Computational and Mathematical Engineering

Graduate-level research work not related to report, thesis, or dissertation. May be repeated for credit.
Terms: Aut, Win, Spr, Sum | Units: 1-15 | Repeatable 6 times (up to 30 units total)
Instructors: ; Boyd, S. (PI); Candes, E. (PI); Carlsson, G. (PI); Darve, E. (PI); Gerritsen, M. (PI); Hastie, T. (PI); Kamvar, S. (PI); Levi, O. (PI)

CME 400: Ph.D. Research

Terms: Aut, Win, Spr, Sum | Units: 1-15 | Repeatable for credit
Instructors: ; Alonso, J. (PI); Athey, S. (PI); Bambos, N. (PI); Beroza, G. (PI); Boahen, K. (PI); Boneh, D. (PI); Boyd, S. (PI); Candes, E. (PI); Carlsson, G. (PI); Darve, E. (PI); Delp, S. (PI); Diaconis, P. (PI); Donoho, D. (PI); Farhat, C. (PI); Fedkiw, R. (PI); Fringer, O. (PI); Genesereth, M. (PI); Gerritsen, M. (PI); Giesecke, K. (PI); Glynn, P. (PI); Goel, A. (PI); Golub, G. (PI); Guibas, L. (PI); Hanrahan, P. (PI); Hastie, T. (PI); Hong, H. (PI); Iaccarino, G. (PI); Jameson, A. (PI); Johari, R. (PI); Kamvar, S. (PI); Khatib, O. (PI); Khayms, V. (PI); Kitanidis, P. (PI); Kosovichev, A. (PI); Kumar, S. (PI); Lai, T. (PI); Langley, P. (PI); Lee, P. (PI); Lele, S. (PI); Leskovec, J. (PI); Levinson, D. (PI); Levitt, M. (PI); Lew, A. (PI); Linder, C. (PI); Liu, T. (PI); Moerner, W. (PI); Moin, P. (PI); Montanari, A. (PI); Motwani, R. (PI); Murray, W. (PI); Papanicolaou, G. (PI); Pitsch, H. (PI); Plevritis, S. (PI); Rajagopal, R. (PI); Rajaratnam, B. (PI); Reed, E. (PI); Roughgarden, T. (PI); Saberi, A. (PI); Salisbury, J. (PI); Saunders, M. (PI); Shaqfeh, E. (PI); Taylor, C. (PI); Tchelepi, H. (PI); Wein, L. (PI); Weissman, T. (PI); Wong, W. (PI); Xing, L. (PI); Ye, Y. (PI); Ying, L. (PI); Dam, N. (GP); Longinidis, K. (GP)

CME 801: TGR Project

Terms: Aut, Win, Spr, Sum | Units: 0 | Repeatable for credit
Instructors: ; Alonso, J. (PI); Bambos, N. (PI); Boneh, D. (PI); Boyd, S. (PI); Carlsson, G. (PI); Darve, E. (PI); Diaconis, P. (PI); Donoho, D. (PI); Farhat, C. (PI); Fedkiw, R. (PI); Fringer, O. (PI); Gerritsen, M. (PI); Glynn, P. (PI); Goel, A. (PI); Golub, G. (PI); Guibas, L. (PI); Hanrahan, P. (PI); Harris, J. (PI); Iaccarino, G. (PI); Jameson, A. (PI); Johari, R. (PI); Kamvar, S. (PI); Khayms, V. (PI); Kosovichev, A. (PI); Kumar, S. (PI); Langley, P. (PI); Lele, S. (PI); Lew, A. (PI); Moin, P. (PI); Motwani, R. (PI); Murray, W. (PI); Papanicolaou, G. (PI); Saberi, A. (PI); Saunders, M. (PI); Shaqfeh, E. (PI); Taylor, C. (PI); Wein, L. (PI); Wong, W. (PI); Xing, L. (PI); Ye, Y. (PI)

CME 802: TGR Dissertation

Terms: Aut, Win, Spr, Sum | Units: 0 | Repeatable for credit
Instructors: ; Alonso, J. (PI); Athey, S. (PI); Bambos, N. (PI); Boneh, D. (PI); Boyd, S. (PI); Carlsson, G. (PI); Darve, E. (PI); Diaconis, P. (PI); Donoho, D. (PI); Farhat, C. (PI); Fedkiw, R. (PI); Fringer, O. (PI); Gerritsen, M. (PI); Giesecke, K. (PI); Glynn, P. (PI); Goel, A. (PI); Golub, G. (PI); Guibas, L. (PI); Hanrahan, P. (PI); Hong, H. (PI); Iaccarino, G. (PI); Jameson, A. (PI); Johari, R. (PI); Kamvar, S. (PI); Khatib, O. (PI); Khayms, V. (PI); Kitanidis, P. (PI); Kosovichev, A. (PI); Kumar, S. (PI); Lai, T. (PI); Langley, P. (PI); Lele, S. (PI); Leskovec, J. (PI); Levitt, M. (PI); Lew, A. (PI); Liu, T. (PI); Moin, P. (PI); Motwani, R. (PI); Murray, W. (PI); Papanicolaou, G. (PI); Pitsch, H. (PI); Rajaratnam, B. (PI); Roughgarden, T. (PI); Saberi, A. (PI); Salisbury, J. (PI); Saunders, M. (PI); Shaqfeh, E. (PI); Taylor, C. (PI); Wein, L. (PI); Wong, W. (PI); Xing, L. (PI); Ye, Y. (PI); Dam, N. (GP); Longinidis, K. (GP); Pham, J. (GP)
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