Mathematica Manual

Preface and Introduction

Part I. The Mathematica Notebook

1. Cells: Input/Output
2. Mixing Text and Mathematics

Part II. Calculations and Calculus with Mathematica

1. Getting Started: Mathematica as a Calculator
2. Symbolics: Equations and Assignments
3. Functions as Transformations

Part III. First Order Ordinary Differential Equations

1. Entering, Solving, Plotting
2. Working with Solutions: Modeling
3. Slope Fields
4. Approximate Solutions

Part IV. Linear Differential Equations

1. Linear Oscillations
2. State Space
3. Two Dimensional Systems
4. Matrix Methods
5. The Laplace Transform

Exercises

Appendices

A1. Power Series and Special Functions

A2. Picard Iteration

A3. Partial Differential Equations

A4. Sound advice and encouraging words

Selected Solutions