Single Variable Calculus

Single Variable Calculus: Volume 1: Single Variable Calculus, 1st Edition, connects mathematical analysis with the computer algebra system Mathematica. Written by Galina Filipuk and Andrzej Kozłowski, the textbook demonstrates how computational software can tackle foundational analytical problems beyond standard numerical evaluation.

Coverage spans essential single-variable concepts, including number systems, function limits, continuity, differentiation, and integration. The text also examines recursive sequences, discrete dynamical systems, and mathematical series.

Designed to teach students how to solve problems with a computer algebra system, the work illustrates how Mathematica represents domains, qualifiers, and limits to implement actual proofs. A broad collection of examples and exercises offers targeted practice throughout the volume.