Applied Mathematics for Engineers

Asymptotic evaluation of integrals; the Riemann integral; the line integral in the complex plane; analytic functions of a complex variable; evaluation of real integrals; linear algebra - systems of linear equations; solution of a system of linear equations; calculus of variations and introduction to integral equations; calculus of variations; integral equations; linear ordinary differential equations; systems of differential equations; boundary value problems; Sturm-Liouville theory; approximate techniques for the solution of ordinary differential equations; solutions of irregular singular points; perturbation methods; partial differential equations; the first order quasi-linear partial differential equation. (Part contents).