Table of Contents
| 1. | Introduction | 1 | |
| 2. | Getting Started with Mathematica | 7 | |
| 3. | Doing Mathematics with Mathematica | 13 | |
| 4. | Using Mathematica Notebooks | 31 | |
| Problem Set A: Practice with Mathematica | 41 | ||
| 5. | Solutions of Differential Equations | 45 | |
| 6. | A Qualitative Approach to Differential Equations | 59 | |
| Problem Set B: First Order Equations | 69 | ||
| 7. | Numerical Methods | 79 | |
| 8. | Features of Mathematica | 97 | |
| Problem Set C:Numerical Solutions of Differential Equations | 121 | ||
| 9. | Solving and Analyzing Second Order Linear Equations | 129 | |
| Problem Set D: Second Order Equations | 145 | ||
| 10. | Series Solutions | 159 | |
| 10. | Laplace Transforms | 167 | |
| Problem Set E: Series Solutions and Laplace Transforms | 177 | ||
| 11. | Higher Order Equations and Systems of First Order Equations | 189 | |
| 12. | Qualitative Theory for Systems of Differential Equations | 205 | |
| Problem Set F: Systems of Equations | 213 | ||
| Glossary | 229 | ||
| Sample Solutions | 239 | ||
| Index | 261 | ||