CLP Calculus

Joel Feldman, Andrew Rechnitzer, Elyse Yeager

Digital versions HTML and PDF
Latex source Yes
PreTeXt source (XML) Yes
Exercises Yes
Hints, Answers, Solutions Yes
License Creative Commons-Attribution-Noncommercial-Share Alike
  • Volume 1: Differential calculus
  • Volume 2: Integral calculus
  • Volume 3: Multivariable calculus
  • Volume 4: Vector calculus
  • Large number of exercises
  • Each exercise has four parts: statement, hint, short answer, full solution
  • For more information and to download PDF or access HTML

Written by faculty at the University of British Columbia and used there for several years, the four volumes cover the full calculus sequence for science and engineering students. The exercises in each section are grouped into three stages. Stage 1 exercises test the understanding of basic concepts. Stage 2 exercises are for practicing computational skills. Stage 3 exercises are more challenging and may require combining more than one idea, incorporate review material, or ask the student to apply a concept to a new situation.

Volume 1 Contents:

  1. Basics
  2. Limits
  3. Derivatives
  4. Applications of Derivatives

Volume 2 Contents:

  1. Integration
  2. Applications of Integration
  3. Sequences and Series

Volume 3 Contents:

  1. Vectors and Geometry in Two and Three Dimensions
  2. Partial Derivatives
  3. Multiple Integrals

Volume 4 Contents

  1. Curves
  2. Vector Fields
  3. Surface Integrals
  4. Integral Theorems