Lecture Notes at Calculus

Lecture Notes in Calculus has grown out of the experience of the author in teaching the course over the years. The introductory text provides undergraduate students with a concise and practical introduction to the primary concepts and techniques of Calculus. With a strong emphasis on basic concepts and techniques throughout, it explains the theory behind each technique as simply as possible, alongwith illustrative examples and real life applications.

Contents:

• Preface
• Limits and Continuity
• Successive Differentiation
• Series Expansions
• Asymptotes
• Curvature
• Concavity, Convexity: Points of Inflexion
• Curve Tracing
• Integration of Irrational Functions
• Definite Integrals
• Lengths of Plane Curves (Rectification)
• Area of Plane Curves (Quadrature)
• Volumes and Surfaces of Solids of Revolution
• Index