Welcome to Community Calculus. There are four versions of the text in two formats. On this page is the multivariable, late transcendentals version. The book was last updated February 3, 2024, 10:51.
Until the 2023 edition I will generally make only minor changes, such as typos and wrong answers to exercises. When there is a substantive change, I will update the files and note the change in the changelog.
- Single variable calculus, early transcendentals, in PDF format.
- Multivariable calculus, early transcendentals, in PDF format or HTML format.
- Single variable calculus, late transcendentals, in PDF format.
- Multivariable calculus, late transcendentals, in PDF format or HTML format.
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You can get a printed copy of the book at lulu.com.
Lulu frequently has special offers for discounts or free shipping;
check the
main Lulu page before you order.
I have created a google group for discussions and questions about the book. This is intended to be user supported—I will not be answering all questions myself, or monitoring the group constantly.
Read on for more information and alternative formats.
More PDF files
If you want to print out the text, you may prefer to download individual chapters; if you want to read the book on a computer screen, the whole book linked above is a better choice, as it contains live links that let you easily jump from place to place in the book and to documents and demonstrations on the web. The links "2 up" and "4 up" will give you versions with two or four book pages per printed page.
The links below are for the late transcendentals multivariable book. For the other versions see:
- Single variable calculus, early transcendentals
- Single variable calculus, late transcendentals
- Multivariable calculus, early transcendentals
Table of Contents and Introduction (2 up) (4 up)
Chapter 1: Analytic Geometry (2 up) (4 up)
Chapter 2: The Derivative (2 up) (4 up)
Chapter 3: Rules for Finding Derivatives (2 up) (4 up)
Chapter 4: Trigonometric Functions (2 up) (4 up)
Chapter 5: Curve Sketching (2 up) (4 up)
Chapter 6: Applications of the Derivative (2 up) (4 up)
Chapter 7: Integration (2 up) (4 up)
Chapter 8: Applications of Integration (2 up) (4 up)
Chapter 9: Transcendental Functions (2 up) (4 up)
Chapter 10: Techniques of Integration (2 up) (4 up)
Chapter 11: More Applications of Integration (2 up) (4 up)
Chapter 12: Polar Coordinates, Parametric Equations (2 up) (4 up)
Chapter 13: Sequences and Series (2 up) (4 up)
Chapter 14: Three Dimensions (2 up) (4 up)
Chapter 15: Vector Functions (2 up) (4 up)
Chapter 16: Partial Differentiation (2 up) (4 up)
Chapter 17: Multiple Integration (2 up) (4 up)
Chapter 18: Vector Calculus (2 up) (4 up)
Chapter 19: Differential Equations (2 up) (4 up)
Appendix A: Answers (2 up) (4 up)
Appendix B: Useful Formulas (2 up) (4 up)
Community
I am always happy to receive suggestions, corrections, and contributions at guichard@whitman.edu. I would especially appreciate new exercises, preferably with answers and solutions. At some point I would like to put together a solutions manual; solutions to existing problems are also most welcome to help this along.
The source code for the book is available, with some linux scripts to help with production. The source here usually lags the production version, which incorporates the changes listed in the changelog. If you need the current source, send me an email and I will update it as soon as possible.
For instructors
Albert Schueller has collected some webwork exercises for Calculus II and Calculus III , if you are running a WebWork server.