APEX Calculus

Gregory Hartman (lead author), Brian Heinold, Troy Siemers, Dimplekumar Chalishajar

Digital versions PDF and HTML
Latex source Yes
Exercises Yes
Solutions Short answers to odd numbered problems
Creative Commons Attribution-NonCommercial
  • Text for mainstream calculus course; divided into 3 volumes for traditional Calc 1, 2 & 3, or split into 4 volumes for the quarter calendar
  • Fourteen chapters, 972 pages, 2600 exercises
  • PDF versions of entire book or semester, choice of B&W, color, or color with interactive graphics
  • Printed versions from Amazon or author’s website for about $15 per volume
  • Online HTML versions available include videos
  • LaTeX source files available at GitHub
  • For more information and to download
  • For online versions

This is a text for the standard three-semester course in single and multivariable calculus for science and engineering students, recently split to also accommodate schools on the quarter system. The authors are part of the APEX (Affordable Print and Electronic Textbooks) consortium based at VMI, which is developing other open textbooks as well. This text has been adopted for all sections of calculus at VMI and at a number of other schools across the U.S. The visual presentation is clear and pleasing, and the organization and style are reminiscent of the best known commercial textbooks and is now in version 4.0.

Sean Fitzpatrick at the University of Lethbridge has worked with Greg Hartman to convert the source files to PreTeXt and to produce two interactive online versions, one with embedded videos and one without.

Table of Contents:

  1. Limits
  2. Derivatives
  3. The Graphical Behavior of Functions
  4. Applications of the Derivative
  5. Integration
  6. Techniques of Antidifferentiation
  7. Applications of Integration
  8. Sequences and Series
  9. Curves in the Plane
  10. Vectors
  11. Vector Valued Functions
  12. Functions of Several Variables
  13. Multiple Integration
  14. Vector Analysis