Single Variable Calclabs with the Ti-89/82 : For Stewart's Fourth Edition, Calculus, Single Variable Calculus, Calculus--early Transcendentals, Single Variable Calculus--early Transcendentals

by HOLLIS S

• ISBN13: 9780534364373
• ISBN10: 0534364373
• Edition: 4th
• Format: Paperback
• Copyright: 1999-05-28
• Publisher: Brooks Cole

Summary

Helps students take advantage of the TI-89/92 through a variety of labs and exercises.

Table of Contents

Introduction	p. vi
TI-92 Basics	p. 1
The Home screen	p. 1
Graphs and tables	p. 5
Lists and matrices	p. 9
Split screens	p. 12
Shortcuts and special characters	p. 13
The Program Editor	p. 15
Functions and Equations	p. 19
Functions	p. 19
Parametric curves	p. 23
Solving equations	p. 26
Exploring graphs	p. 30
Programming notes	p. 33
Limits and the Derivative	p. 36
Limits	p. 36
The Derivative	p. 41
Higher-order derivatives	p. 46
Programming notes	p. 50
Applications of the Derivative	p. 54
Velocity, acceleration, and rectilinear motion	p. 54
Implicit differentiation and related rates	p. 58
Linear and quadratic approximation	p. 62
Newton's Method	p. 64
Optimization	p. 67
Applied optimization problems	p. 70
Programming notes	p. 74
Integration	p. 76
Antiderivatives	p. 76
Limits of sums and the area under a curve	p. 79
The Definite Integral and the Fundamental Theorem of Calculus	p. 83
Approximate integration	p. 87
Improper integrals	p. 91
Programming notes	p. 94
Applications of the Integral	p. 96
Area	p. 96
Volume	p. 99
Arc length and surface area	p. 101
Moments and centers of mass	p. 104
Programming notes	p. 106
Differential Equations	p. 108
Equations and solutions	p. 108
Direction fields	p. 112
Euler's method	p. 113
Exact solutions	p. 116
Systems of differential equations	p. 122
Parametric and Polar Curves	p. 129
Parametric curves	p. 129
Polar curves	p. 131
Sequences and Series	p. 135
Sequences	p. 135
Series	p. 143
Taylor polynomials	p. 150
Projects	p. 155
Two Limits	p. 155
Computing [pi] as an Area	p. 156
Lines of Sight	p. 157
Graphs and Derivatives	p. 159
Designing an Oil Drum	p. 161
Newton's Method and a 1D Fractal	p. 162
Optimal Location for a Water Treatment Plant	p. 164
The Vertical Path of a Rocket	p. 165
Otto the Daredevil	p. 165
The Skimpy Donut	p. 166
The Brightest Phase of Venus	p. 167
Designing a Light Bulb	p. 168
Approximate Antidifferentiation with the Trapezoidal Rule	p. 169
Percentiles of the Normal Distribution	p. 171
Equilibria and Centers of Gravity	p. 172
Draining Tanks	p. 174
Parachuting	p. 175
Spruce Budworms	p. 176
The Flight of a Baseball I	p. 177
The Flight of a Baseball II	p. 178
Cannonball Wars	p. 180
Taylor Polynomials and Differential Equations	p. 181
Build Your Own Cosine	p. 183
Index	p. 185
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