Exploring Calculus Mathematica / Edition 1

Exploring Calculus Mathematica / Edition 1

ISBN-10:
0201555727
ISBN-13:
9780201555721
Pub. Date:
07/28/1992
Publisher:
Addison-Wesley

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Overview

Exploring Calculus Mathematica / Edition 1

This easy-to-use manual enhances the fundamental concepts of calculus using Mathematica. Intended for use in a laboratory setting, a wide range of calculus concepts are developed and investigated through a series of exploratory activities.

Product Details

ISBN-13: 9780201555721
Publisher: Addison-Wesley
Publication date: 07/28/1992
Series: Math Exploration Ser.
Edition description: BK&DSK
Pages: 352
Product dimensions: 7.37(w) x 9.20(h) x 0.75(d)

Table of Contents

Preface v
THE EXPLORATIONS
Welcome to Mathematica!
1(20)
Using Graphs and Tables
21(16)
The Rocket Problem
37(12)
Curves and Slopes
49(10)
Fermat's Method of Limits
59(16)
Polynomial Functions and Their Derivatives
75(12)
Rational Functions and Asymptotes
87(16)
Continuation of the Rocket Problem
103(10)
The Mean Value Theorem
113(16)
Assignments and Definitions in Mathematica
129(14)
Sines and Cosines
143(10)
Derivatives of Sines and Cosines
153(10)
Projectile Motion and Parametric Equations
163(14)
Area Predicting Formulas
177(14)
Area Between Curves
191(8)
Average Value of a Continuous Function
199(10)
Arc Length and Mathematica Procedures
209(16)
Euler's Method
225(12)
The Fundamental Theorem of Calculus
237(6)
Numerical Integration
243(12)
The Exponential Function and e
255(12)
Exponential Decay
267(14)
Projectile Motion in a Resisting Medium
281(10)
Surfaces
291(10)
3D Critical Points
301(6)
Constrained Optimization in Two Variables
307(30)
THE APPENDICES
1 Glossary of Mathematica Commands
319(8)
2 Answers to Selected Problems
327(8)
3 The Exploring Calculus Disk
335(2)
Index 337

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