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MATH 453. Numerical Linear Algebra

Credits: 3
Department: Mathematics
Description: Direct and iterative solutions in linear algebra. Orthogonal polynomials, splines and least squares approximations. Error analysis.
Prerequisites: MATH 222, MATH 312, MATH 252 or CSCI 201
Semester Offered: DEMAND
Grading Method: ABCDF

Student Learning Outcomes

1. Implement and apply numerical algorithms to solve linear systems of equations directly by using Gaussian Elimination with various pivoting strategies and matrix factorizations, and indirectly by using iterative techniques.
2. Derive and apply algorithms for finding discrete least squares approximations and continuous least squares approximations.
3. Analyze and compare numerical algorithms in terms of accuracy, efficiency, stability, and/or convergence.

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