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Calculus and the DERIVE® Program:

Experiments with the Computer, 3rd Edition

by

Lawrence G. Gilligan and James F. Marquardt, Sr.

 

C O N T E N T S

  

An Introduction to Using the DERIVE® Program 1

Experiment #1: Functions and Their Graphs Part I 15

Experiment #2: Functions and Their Graphs Part II 25

Experiment #3: Limits 35

Experiment #4: Continuity 43

Experiment #5: The Definition of Derivative 49

Experiment #6: Implicit Differentiation 55

Experiment #7: Relative and Absolute Extrema 61

Experiment #8: Newton's Method 69

Experiment #9: Area and the Fundamental Theorem 75

Experiment #10: Area Between Two Curves 81

Experiment #11: Logarithmic and Exponential Functions 85

Experiment #12: Trigonometric Functions 91

Experiment #13: Indefinite Integrals and Tables of Integrals 97

Experiment #14: Improper Integrals 103

Experiment #15: Simpson's Rule 109

Experiment #16: Polar Coordinates 117

Experiment #17: Series and Sequences 125

Experiment #18: Hyperbolic Functions 131

Experiment #19: Taylor Polynomials 137

Experiment #20: Graphs of Three-Dimensional Functions 143

Experiment #21: Partial Derivatives 151

Experiment #22: Multiple Integrals 157

Experiment #23: Extrema of Functions of Two Variables 161