Calculus Projects with Maple V

Wm. C. Bauldry, J.R. Fielder

Table of Contents

Preface

Preface to the First Edition

To the Student

To the Instructor

Maple Readiness Check

Chapters:

1. Slopes of Functions
2. Graphs of Polynomial Functions
3. Approximating Zeroes of Functions
4. Euler's Method and Sky Diving
5. A Simple Growth Model
6. Rational Functions
7. Applied Optimization
8. Summations: Finite and Infinite
9. Riemann Sums and Monotone Functions
10. Definite Integrals & Computing Accuracy
11. Remembrance of Things Past
12. Financial Mathematics
13. The Catenary: An Application
14. Summations and Inductive Verification
15. Difference Equations
16. Taylor Polynomials and Convergence
17. Lagrange Interpolation
18. Splines, I: Data Fitting
19. Splines, II: Bezier Curves
20. Koch's Fractal
21. Polar Coordinates, I
22. Polar Coordinates, II
23. Parametric Conics
24. Animated Cycloids and Planetary Gears
25. Parametric Surfaces
26. Exploring Cylindrical Coordinates
27. Tangent Lines and Tangent Planes
28. Lagrange Multipliers
29. Curvature
30. Iterated Integrals

Appendix A. Introduction to Maple

Appendix B. Principles of Good Writing

Appendix C. Sample Grading Criteria

Appendix D. Pedagogical Notes