|
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 |
|
|
