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Lecture Notes in Calculus
Lecture Notes in Calculus

Tags: Lecture Notes in Calculus, Limits and Continuity, symptotes, Convexity, Points of Inflexion, Integration of Irrational Functions, Definite Integrals, Area of Plane Curves, Surfaces of Solids of Revolution

Lecture Notes in 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.

  • Limits and Continuity

 

  • Successive Differentiation
  • Series Expansions
  • symptotes
  • 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
  • The book gives a lucid and easy introduction to various branches of undergraduate calculus.
  • Apart from the proof of the important theorems, emphasis is laid on the application of various results and formulas in a wide variety of problems.
  • Focuses on distinguishing among similar looking integrals, and to identify the appropriate technique of integration to apply to each integral.
  • Explains techniques to solve problems in a logical and systematic way with the help of illustrative examples.
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