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

• Preface 6
• Contents 8
• 1. Prerequisites for calculus 12
• 2. Limits and continuity 52
• 3. The derivative 132
• 4. Applications of the derivative 192
• 5. The definite integral 260
• 6. Techniques for integration and improper integrals 296
• 7. Applications of the definite integral 344
• 8. Infinite series, sequences, and approximations 366
• Index 422