Mathematics – 3

Methods of Integration, some special techniques, successive reduction method, improper integrals, mean value theorem special function: the error, gamma and beta functions of several variables, limits and continuity, partial derivatives, chain rule directional derivatives, Taylor expansions of functions of several variables, extreme, differentiation under integral sign.

Sequences, series, convergence and convergence tests, uniform convergence. Fourier series expansions of general periodic functions, expansions of even and odd functions, convergence and remarks.