CAAM 453

NUMERICAL ANALYSIS I

Prerequisites: CAAM 335 AND CAAM 336

Description: Construction and application of numerical algorithms for root finding, interpolation and approximation of functions, quadrature, and the solution of differential equations; fundamentals of computer arithmetic; solution of linear systems, linear least squares problems, and eigenvalue problems via matrix factorizations; Newton and Newton-like methods for nonlinear systems of equations. Computer programming in MATLAB is required.

Class Resources:

Syllabus
Lecture Notes
Floating-Point Numbers
Convergence of the Secant Method

Matlab codes:
testLUfac.m
Bisect.m
RootFinding.m

Homework Assignment #1
Homework Assignment #2
Homework Assignment #3
Homework Assignment #4
Homework Assignment #5
Watch.m
GK15.m
Homework Assignment #6
RK4.m
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Homework Assignment #8

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