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CS 450 - Numerical Analysis

Fall 2020

TitleRubricSectionCRNTypeHoursTimesDaysLocationInstructor
Numerical AnalysisCS450BL136016ONL31100 - 1215 T R    Luke Olson
Numerical AnalysisCS450BL236020ONL41100 - 1215 T R    Luke Olson
Numerical AnalysisCSE401BL136034ONL31100 - 1215 T R    Luke Olson
Numerical AnalysisCSE401BL236032ONL41100 - 1215 T R    Luke Olson
Numerical AnalysisECE491BL136027ONL31100 - 1215 T R    Luke Olson
Numerical AnalysisECE491BL236036ONL41100 - 1215 T R    Luke Olson
Numerical AnalysisMATH450BL136039ONL31100 - 1215 T R    Luke Olson
Numerical AnalysisMATH450BL236042ONL41100 - 1215 T R    Luke Olson

Official Description

Linear system solvers, optimization techniques, interpolation and approximation of functions, solving systems of nonlinear equations, eigenvalue problems, least squares, and quadrature; numerical handling of ordinary and partial differential equations. Course Information: Same as CSE 401, ECE 491, and MATH 450. 3 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both CS 450 and CS 457. Prerequisite: CS 101 or CS 125; CS 357 or MATH 415; MATH 285.

Course Director

Text(s)

Scientific Computing : An Introductory Survey, 2nd E, by Michael T. Heath

Learning Goals

Analyze the conditioning of common numerical problems such as solving a linear system, finding eigenvalues, numerical differentiation and integration, etc. (1)

Calculate numerical approximations to solutions to linear and nonlinear systems, eigenvalues/eigenvectors, optimization problems, integrals, derivatives, and solutions to differential equations.(6)

Compare the accuracy and cost of different numerical methods for solving a numerical problem. (1)(6)

Estimate the accuracy and efficiency of numerical approximations.(6)

Write code to solve numerical problems.(2)(6)

Design and carry out numerical experiments to test various numerical methods. (2)(6)

Topic List

Approximations, Error Analysis, and Floating-Point Arithmetic
Systems of Linear Equations
Linear Least Squares
Eigenvalue Problems
Nonlinear Equations
Optimization
Interpolation
Numerical Integration and Differentiation
Initial Value Problems for ODEs
Boundary Value Problems for ODEs
Partial Differential Equations
Fast Fourier Transform

Required, Elective, or Selected Elective

Selected Elective.

Last updated

2/18/2019by Luke Olson