MATH 270B. Numerical Approximation and Nonlinear Equations (4 units)
Link to catalog page: https://catalog.ucsd.edu/courses/MATH.html#math270b
Description
Iterative methods for nonlinear systems of equations, Newton’s method. Unconstrained and constrained optimization. The Weierstrass theorem, best uniform approximation, least-squares approximation, orthogonal polynomials. Polynomial interpolation, piecewise polynomial interpolation, piecewise uniform approximation. Numerical differentiation: divided differences, degree of precision. Numerical quadrature: interpolature quadrature, Richardson extrapolation, Romberg Integration, Gaussian quadrature, singular integrals, adaptive quadrature. Prerequisites: MATH 270A or consent of instructor.
Prerequisite courses
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Successor courses
MATH 270B is a prerequisite of the following 1 courses: