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 SEdition: 4th
Format: Paperback
Pub. Date: 1999-05-28
Publisher(s): Brooks Cole
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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 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
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