Teaching
Graduate and Upper-level Undergraduate Courses in Computational Mathematics
Current courses (Fall 2023)
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Math 6321 -- Numerical Solution of Ordinary Differential Equations, Tu/Th, 2:00-3:20
Calculus 3 / Multivariable Calculus
A continuation of Calculus 2. Topics include parametric equations, polar coordinates, partial differentiation, multiple integrals, and vector analysis.
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Fall 2020: Teaching evaluations
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Spring 2020: Teaching evaluations
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Fall 2016 (Math 2339 at the time): Web page, Teaching evaluations
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Fall 2010 (Math 2339 at the time): Web page, Teaching evaluations
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Fall 2008 (Math 2339 at the time): Web page, Teaching evaluations
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.
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Fall 2021: Teaching evaluations
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Spring 2020: Teaching evaluations
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Spring 2019: Web page, Teaching evaluations
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Fall 2018: Web page, Teaching evaluations
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Spring 2017 (Math 3353 at the time): Web page, Teaching evaluations
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Spring 2016 (Math 3353 at the time): Web page, Teaching evaluations
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Spring 2015 (Math 3353 at the time): Web page, Teaching evaluations
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Spring 2014 (Math 3353 at the time): Web page, Teaching evaluations
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Spring 2011 (Math 3353 at the time): Web page, Teaching evaluations
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.
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Spring 2018: Web page, Teaching evaluations
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Fall 2017: Web page, Teaching evaluations
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Spring 2013: Web page, Teaching evaluations
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Fall 2012: Web page, Teaching evaluations
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Fall 2011: Web page, Teaching evaluations
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Spring 2010: Web page, Teaching evaluations
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Fall 2009: Web page, Teaching evaluations
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.
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Fall 2015: Web page, Teaching evaluations
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Fall 2014: Web page, Teaching evaluations
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Fall 2013: Web page, Teaching evaluations
Advanced Scientific Computing
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.
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Spring 2021: Teaching evaluations
Parallel Scientific Computing
An introduction to parallel computing in the context of scientific computation.
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Fall 2022: Teaching evaluations
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Spring 2017: Web page, Teaching evaluations
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.
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Fall 2018: Web page, Teaching evaluations
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Fall 2017: Web page, Teaching evaluations
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Fall 2015: Web page, Teaching evaluations
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Fall 2013: Web page, Teaching evaluations
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.
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Spring 2019: Web page, Teaching evaluation
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.
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Spring 2014: Web page, Teaching evaluations
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.
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Spring 2018 (Math 6316 at the time): Web page, Teaching evaluations
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Spring 2016 (Math 6316 at the time): Web page, Teaching evaluations
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 and C++.
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Fall 2023
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Fall 2020: Teaching evaluations
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Fall 2016: Web page, Teaching evaluations
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Fall 2014: Web page, Teaching evaluations
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Fall 2012: Web page, Teaching evaluations
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Fall 2010: Web page, Teaching evaluations
Parallel Scientific Computing
An introduction to parallel computing in the context of scientific computation.
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Fall 2022: Teaching evaluations
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Spring 2017: Web page, Teaching evaluations
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Spring 2015: Web page, Teaching evaluations
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Spring 2013: Web page, Teaching evaluations
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Spring 2011: Web page, Teaching evaluations
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Spring 2009 (Math 6395 at the time): Web page, Teaching evaluations
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.
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June 2013 (SMUHPC cluster)
Math 174 (UC San Diego)
Numerical Methods in Science and Engineering
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Fall 2006
Math 20D (UC San Diego)
Introduction to Differential Equations
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Winter 2006