C O N T E N T S

Preface v

The MODE Key 1

Algebra on the HOME Screen 2

Calculus on the HOME Screen 4

Graphing 7

Algebra and Calculus on the Graphing Screen 9

Tables 13

The Data/Matrix Editor 14

Additional Types of Graphs 16

The Numeric Solver 26

Constants and Measurement Units 27

The CUSTOM key 28

Text Files 29

Exploration #1: The Definition of Derivative 31

Exploration #2: Newton's Method 37

Exploration #3: Implicit Differentiation 43

Exploration #4: The Chain Rule 47

Exploration #5: Area and the Fundamental Theorem of Calculus 49

Exploration #6: Simpson's Rule 55

Exploration #7: Taylor Polynomial Approximations 59

Exploration #8: Partial Derivatives, Multiple Integrals, and Centers of Mass 63

Exploration #9: Extrema of Functions of Several Variables 69

Exploration #10: Using deSolve for First Order Differential Equations 73

Exploration #11: Using deSolve for Second Order Differential Equations 77

Exploration #12: Using the Program diffq(): Part 1 81

Exploration #13: Using the Program diffq(): Part 2 87

Exploration #14: Vectors and Vector Calculus 93

Exploration #15: Lagrange Multipliers 99

Exploration #16: Fourier Series 103

Program Listing 109

Index 117