In the first part of this subject, there are fundamental properties of the set of real numbers mentioned. Further, basic properties of elementary functions are recalled. Then limit of sequence, limit of function, and continuity of function are defined and their basic properties are studied. Differential and integral calculus of one-variable real functions is essence of this course.
Literature
J. Bouchala, M. Sadowská: Mathematical Analysis I (www.am.vsb.cz/bouchala)
Advised literature
L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973