Visualize Calculus

The Mathematica and Maple modules that accompany this text have been carefully written to help you visualize the fundamental ideas underlying calculus and develop your geometric intuition. Most of the modules introduce "notebooks or special functions" that you can use to solve problems or apply to a specific project. Interactive Java applets also reinforce visualization and encourage you to explore the mathematics of time and motion. Several modules have accompanying video clips that enliven the presentation.

To run these modules, you will need Mathematica or Maple already installed on your computer. If you do not have access to these computer algebra systems, you can still view the Mathematica notebooks by installing MathReader, a program included in the Applications folder of this CD. Macintosh users click here if you are having trouble opening Mathematica or Maple files, or click here if you can not see the videos included in these chapters.

Chapter P: Preliminaries
Chapter 1: Limits and Continuity
Chapter 2: Derivatives
Chapter 3: Applications of Derivatives
Chapter 4: Integration
Chapter 5: Application of Integrals
Chapter 6: Transcendental Functions and Differential Equations

Chapter 7:

Integration Techniques, LíHopitalís Rule, and Improper Integrals
Chapter 8: Infinite Series
Chapter 9: Vectors in the Plane and Polar Functions
Chapter 10: Vectors and Motion in Space
Chapter 11: Multivariable Functions and Their Derivatives
Chapter 12: Multiple Integrals
Chapter 13: Integration in Vector Fields