MTH 128B Numerical Analysis

Solutions of large systems of linear algebraic equations. Eigenvalues and eigenvectors of matrices. Interpolation: Lagrange and Newton polynomials. Fourier series and orthogonal polynomials. Introduction to the theory of ordinary differential equations. Heun and Runge-Kutta numerical techniques. Numerical determination of real and complex roots of polynomials, cubic splines, numerical treatment of partial differential equations, techniques of numerical integration. Prerequisites: MTH 5C, CIS 2.