Single Variable Calculus: A First Step

The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, defi nite integral, series, sequences and approximations. Chapters are arranged to outline the essence of each topic and to address learning diffi culties, 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

• Covers key definitions and techniques in single variable calculus.


• Presents derivations of theorems in separate sections.


• Employs graphical and numerical approaches to explain concepts.


• Concise and adapted to students’ learning behaviors.