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
  • Multivariable calculus (vol. 3) and vector calculus (vol.4) currently in draft form
  • 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