Preface -- Ways to use this book -- Review -- Discrete dynamics -- Differential equations models -- Single-variable differential equations -- Definite integrals and improper integrals -- Power laws -- Differential equations in the plane -- Linear systems and stability -- Nonlinear systems and stability -- Infinite series and power series -- Some probability -- Why this matters -- Appendix A. Technical -- Appendix B. Some Mathematica code -- Appendix C. Some useful integrals and hints