The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, definite integral, series, sequences and approximations. Chapters are arranged to outline the essence of each topic and to address learning difficulties, making it suitable for students and lecturers in mathematics, physics and engineering.

Contents

Prerequisites for calculus

Limits and continuity

The derivative

Applications of the derivative

The definite integral

Techniques for integration and improper integrals

Applications of the definite integral

Infinite series, sequences, and approximations