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# Teaching

• none

## Math 3302

Calculus 3 / Multivariable Calculus

A continuation of Calculus 2.  Topics include parametric equations, polar coordinates, partial differentiation, multiple integrals, and vector analysis.

## Math 3304

Introduction to Linear Algebra

Matrices and linear equations, Gaussian elimination, determinants, rank, geometrical notions, eigenvalue problems, and coordinate transformations, norms, inner products, orthogonal projections, Gram-Schmidt and least squares.

## Math 3315

Introduction to Scientific Computing

An elementary survey course that includes techniques for root-finding, interpolation, functional approximation, numerical differentiation and numerical integration. Special attention is given to MATLAB programming, algorithm implementations, and library codes. Students registering for this course must also register for an associated computer laboratory.

## Math 3316

Introduction to High-Performance Scientific Computing

An elementary survey course that includes techniques for root-finding, interpolation, functional approximation, linear equations, and numerical integration. Computational work focuses on the Python and C++ programming languages using Linux.

## Math 4315

Advanced algorithms central to scientific and engineering computing. Topics include solution of linear systems of equations, functional approximation, initial-value problems, and boundary-value problems. Special attention is given to algorithm derivation and implementation.

## Math 4370

Parallel Scientific Computing

An introduction to parallel computing in the context of scientific computation.

## Math 5315

Introduction to Numerical Analysis

Numerical solution of linear and nonlinear equations, interpolation and approximation of functions, numerical integration, floating-point arithmetic, and the numerical solution of initial value problems in ordinary differential equations. Student use of the computer is emphasized.

## Math 5316

Introduction to Matrix Computation

The efficient solution of dense and sparse linear systems, least squares problems, and eigenvalue problems. Elementary and orthogonal matrix transformations provide a unified treatment. Programming is in MATLAB, with a focus on algorithms.

## Math 6316

Numerical Methods I

The efficient solution of dense and sparse linear systems, least squares problems and eigenvalue problems. Elementary and orthogonal matrix transformations provide a unified treatment. In addition to algorithm development, the course emphasizes the theory underlying the methods.

## Math 6317

Numerical Methods II

Covers interpolation and approximation of functions, numerical differentiation and integration, basic methods for initial value problems in ordinary differential equations, and basic approximation methods for one-dimensional initial-boundary value problems. Topics focus on algorithm development and the theory underlying each method.

## Math 6321

Numerical Solution of Ordinary Differential Equations

Numerical methods for initial value problems and boundary value problems for ordinary differential equations. Emphasizes practical solution of problems using Matlab, Python and/or C++.

## Math 6370

Parallel Scientific Computing

An introduction to parallel computing in the context of scientific computation.

## SMU HPC Workshops

Inaugural SMU HPC workshops, sponsored by the SMU Center for Scientific Computation. These focused on general high-performance computing computing, with specific instruction on using the new SMU ManeFrame cluster.

## Math 174 (UC San Diego)

Numerical Methods in Science and Engineering

• Fall 2006

## Math 20D (UC San Diego)

Introduction to Differential Equations

• Winter 2006

## CAAM 336 (Rice, Teaching Assistant)

Differential Equations in Science and Engineering

Matrix Analysis

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