Latest news:

There is now a preliminary version of the 2013 edition in html format.

This is the 2012 edition of the late transcendentals version of multivariable calculus. You can still get the 2011 version. The main page has links to other versions and general information.

Until the 2013 edition I will generally make only minor changes that do not change pagination, such as typos and wrong answers to exercises. I will keep a list of changes in the changelog.

[] You can get a printed copy of the book at

If you want to print out the text, you should probably download individual chapters; if you want to read the book on a computer screen, the "whole book" is a better choice, as it contains live links that let you easily jump from place to place in the book. The links "2 up" and "4 up" will give you versions with two or four book pages per printed page.

You can download the source code. (This usually lags the pdf version; email me if it is behind and you want the current source.)

The PDF reader from Adobe might not let you markup these pdf files. There is a nice, free PDF viewer for Windows that will allow you to read them and add highlighting, sticky tabs, etc. It is at

Send comments, suggestions, corrections, and contributions to

Last update: February 1, 2013, 14:15

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)

Index (2 up) (4 up)

The Whole Book