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This is a preliminary version of the 2012 edition of the multivariable calculus book; it should be very close to the final version. I have added a few exercises and made some minor alterations. Also the pagination has changed: the book is now numbered starting at 1 for the cover page; there is no longer a portion numbered with roman numerals. This means the page number corresponds to the actual page in the "whole book" pdf file. There is a new section on numerical integration for chapter 8 (section 6), covering the trapezoid method and Simpson's rule.

Send comments, suggestions, corrections, and contributions to guichard@whitman.edu.

Last update: May 18, 2012, 13:58

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: Transcendental 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: Techniques of Integration (2 up) (4 up)

Chapter 9: Applications of Integration (2 up) (4 up)

Chapter 10: Polar Coordinates, Parametric Equations (2 up) (4 up)

Chapter 11: Sequences and Series (2 up) (4 up)

Chapter 12: Three Dimensions (2 up) (4 up)

Chapter 13: Vector Functions (2 up) (4 up)

Chapter 14: Partial Differentiation (2 up) (4 up)

Chapter 15: Multiple Integration (2 up) (4 up)

Chapter 16: Vector Calculus (2 up) (4 up)

Chapter 17: 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