University of Architecture, Civil Engineering and Geodesy (UACEG)

Numerical and functional series with real and complex members are considered. Taylor series expansions are obtained for the elementary functions. Solutions of partial differential equations are constructed by using Fourier series. Elements of approximate calculus are presented: approximation of a function, discretization of a continuous problem, construction of an iterative scheme. Fundamentals of the theory of complex functions (continuity, derivatives, integrals) as well as of the probability theory are given.