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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