## CME 200: Linear Algebra with Application to Engineering Computations (ME 300A)

Computer based solution of systems of algebraic equations obtained from engineering problems and eigen-system analysis, Gaussian elimination, effect of round-off error, operation counts, banded matrices arising from discretization of differential equations, ill-conditioned matrices, matrix theory, least square solution of unsolvable systems, solution of non-linear algebraic equations, eigenvalues and eigenvectors, similar matrices, unitary and Hermitian matrices, positive definiteness, Cayley-Hamilton theory and function of a matrix and iterative methods. Prerequisite: familiarity with computer programming, and
MATH51.

Terms: Aut
| Units: 3

Instructors:
Gerritsen, M. (PI)
;
Ganguli, S. (TA)
;
Gnanasekaran, A. (TA)
...
more instructors for CME 200 »

Instructors:
Gerritsen, M. (PI)
;
Ganguli, S. (TA)
;
Gnanasekaran, A. (TA)
;
Lyman, L. (TA)
;
Tazhimbetov, N. (TA)

## MATH 51: Linear Algebra and Differential Calculus of Several Variables

Geometry and algebra of vectors, matrices and linear transformations, eigenvalues of symmetric matrices, vector-valued functions and functions of several variables, partial derivatives and gradients, derivative as a matrix, chain rule in several variables, critical points and Hessian, least-squares, , constrained and unconstrained optimization in several variables, Lagrange multipliers. Prerequisite: 21, 42, or the math placement diagnostic (offered through the Math Department website) in order to register for this course.

Terms: Aut, Win, Spr, Sum
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Cohen, R. (PI)
;
Datta, I. (PI)
;
Devadas, S. (PI)
;
Helfer, J. (PI)
;
Lim, B. (PI)
;
Lucianovic, M. (PI)
;
Ohrt, C. (PI)
;
Perlmutter, N. (PI)
;
Szucs, G. (PI)
;
Tam, K. (PI)
;
Velcheva, K. (PI)
;
Wang, G. (PI)
;
White, B. (PI)
;
Wieczorek, W. (PI)
;
Zavyalov, B. (PI)
;
Zhou, Y. (PI)
;
Zhou, Z. (PI)
;
Zou, J. (PI)
;
Arana Herrera, F. (TA)
;
Guijarro Ordonez, J. (TA)
;
Helfer, J. (TA)
;
Nguyen, D. (TA)
;
Zhai, L. (TA)

## MATH 51A: Linear Algebra and Differential Calculus of Several Variables, ACE

Students attend
MATH 51 lectures with different recitation sessions: three hours per week instead of two, emphasizing engineering applications. Prerequisite: application; see
https://web.stanford.edu/dept/soe/osa/ace.fb

Terms: Aut, Win, Spr
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Li, C. (PI)
;
Lucianovic, M. (PI)
;
Sherman, D. (PI)
...
more instructors for MATH 51A »

Instructors:
Li, C. (PI)
;
Lucianovic, M. (PI)
;
Sherman, D. (PI)
;
Wieczorek, W. (PI)
;
Dozier, B. (TA)

## ME 300A: Linear Algebra with Application to Engineering Computations (CME 200)

Computer based solution of systems of algebraic equations obtained from engineering problems and eigen-system analysis, Gaussian elimination, effect of round-off error, operation counts, banded matrices arising from discretization of differential equations, ill-conditioned matrices, matrix theory, least square solution of unsolvable systems, solution of non-linear algebraic equations, eigenvalues and eigenvectors, similar matrices, unitary and Hermitian matrices, positive definiteness, Cayley-Hamilton theory and function of a matrix and iterative methods. Prerequisite: familiarity with computer programming, and
MATH51.

Terms: Aut
| Units: 3

Instructors:
Gerritsen, M. (PI)
;
Ganguli, S. (TA)
;
Gnanasekaran, A. (TA)
...
more instructors for ME 300A »

Instructors:
Gerritsen, M. (PI)
;
Ganguli, S. (TA)
;
Gnanasekaran, A. (TA)
;
Lyman, L. (TA)
;
Tazhimbetov, N. (TA)

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