To help engineering students complete their mathematical background necessary in graduate level researches.

Ordinary differential equations and differential equation systems, series solution of ordinary differential equations (power series method, Legendre and Bessel equations, Frobenius method), Laplace transform, applications of engineering problems, Fourier Analysis and partial differential equations, Fourier Series, partial differential equations and Fourier series solutions, wave and heat equations, complex analysis, complex integration, complex numbers and functions, power series, conformal mapping, conformal transformations