Series solutions of ordinary differential equations: Bessel functions, orthogonal functions, Fourier expansions and integral, Legendre polynomials, Sturm-Liouville systems. Partial differential equations: parabolic, hyperbolic and elliptic equations, numerical methods. Numerical integration: Gaussian quadrature, Runge-Kutta methods. Nonlinear systems: qualitative analysis, phase plane, Newton-Raphson method. [Offered: S] Prereq: 3A Systems Design Engineering
