Table of Contents

1 Review

2 Discrete dynamics

3 Differential equations models

4 Single-variable differential equations

5 Definite integrals and improper integrals

6 Power laws

7 Differential equations in the plane

8 Linear systems and stability

9 Nonlinear systems and stability

10 Infinite series and power series

11 Some probability

12 Why this matters

Appendix A: Technical notes

Appendix B: Some Mathematica code

Appendix C: Some useful integrals and hints

About the Author

Michael Frame is an American mathematician and retired Yale University professor. He is a co-author, along with Amelia Urry, of Fractal Worlds: Grown, Built, and Imagined.