Mathematica Technology Resource Manual to accompany Differential Equations, 2e / Edition 2

by Robert L. Borrelli, Courtney S. Coleman, Jennifer Switkes

Overview

The Mathematica Technology Resource Manual, authored by Jennifer Switkes of California Polytechnic State University, Pomona, consists of tutorials that deal directly with the Mathematica computing situations that students may encounter as they work on homework problems from the text.

Product Details

ISBN-13:	9780471483861
Publisher:	Wiley
Publication date:	01/14/2004
Edition description:	REV
Pages:	64
Product dimensions:	7.30(w) x 9.00(h) x 0.40(d)

About the Author

Robert L. Borrelli is the author of Mathematica Technology Resource Manual to accompany Differential Equations, 2e, published by Wiley. Courtney S. Coleman is the author of Mathematica Technology Resource Manual to accompany Differential Equations, 2e, published by Wiley.

Table of Contents

Introduction to the Tutorials.

Graphs of Functions.

1. Plotting a Function.

2. Plotting Several Curves.

3. Piecewise-Defined Functions.

4. Engineering Functions.

First-Order ODEs.

5. Numerical Solutions of ODEs.

6. Slope Fields.

7. Integral Curves.

8. Solution Formulas.

9. Euler's Method, Heun's Method, 4th-Order Runge-Kutta.

10. Laplace Transforms: Discontinuous Driving Terms.

Second-Order ODEs.

11. Orbits, Solution Curves, Component Curves.

12. Time-State Curves.

13. Discontinuous Driving Terms.

14. Solution Formulas.

15. Laplace Transforms: Dirac-Delta Driving Terms.

Systems of First-Order ODEs.

16. Orbits and Component Graphs.

17. Time-State Curves.

18. Direction Fields.

19. System of Three or More ODEs.

20. Solution Formulas.

21. Fourth-Order Runge-Kutta.

22. System of ODEs in Polar Form.

Additional Topics.

23. Plotting Partial Sums: Fourier Series.

24. Fourier Coefficients.

25. Recursion Relations: Series Solutions.

Glossary.

Common Functions and Constants in Mathematica.

Index of Mathematica Commands.