**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

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– Watch.m

– GK15.m

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– RK4.m

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