University of Architecture, Civil Engineering and Geodesy (UACEG)

The sets of real and complex numbers are considered. Functions of one and several real arguments are defined. Numerical sequences and the basic elementary functions are studied. The properties of continuability and differentiability of real functions are introduced. An algorithm is presented for the analysis of a real function of one real argument. Primitives and definite integrals are introduced based on the concept of Newton's integral. Applications of derivatives and integrals to geometry, mechanics and physics are considered.