FAEN 202: Differential Equations


Functions of Several Variables: Limits and continuity, partial differentiation, critical points and their classifications, increments and differentials, implicit differentiation, the chain rule, directional derivatives. Differential operators: The gradient, the divergence and the curl operators, line integrals, multiple integrals, integration of vector functions, Green’s theorem, divergence and Stoke’s theorem. Differential Equations: First and Second order ordinary differential equations, series solutions, system of ordinary differential equations. Initial-value problems: Laplace transforms, partial differential equations, boundary-value problems, applications to strings and membranes, Fourier series and transforms