SYDE 620Fundamentals of Continuous System Models

Solution of systems of ordinary differential equations (ODEs), nonlinear systems, qualitative analysis, phase plane, stability, and nonhomogeneous systems. Series solutions of ODEs; Legendre polynomials, and Bessel functions. Fourier expansions and integral, orthogonal functions, and Sturm-Liouville systems. Partial differential equations: parabolic, hyperbolic and elliptic equations and their solution techniques.