Real Number System; the Supremum Theorem.
Real Functions of a Single Real Variable.
Elementary Functions.
Sequences of Real Numbers.
Limit and Continuity of a Function.
Differential and Derivative of a Function.
Basic Theorems of Differential Calculus.
Function Behaviour.
Approximation of a Function by a Polynomial.
Antiderivative (Indefinite Integral).
Riemann’s (Definite) Integral.
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