Differential Equations

2.  First Order Systems

3.  Linear Systems

4.  Forcing and Resonance

5.  Nonlinear Systems

6.  Laplace Transforms

Appendix

A.  The Derivative and Integral

B.  Complex Numbers, Polynomials, and the Quadratic Formula

C.  Linear Algebra

D.  Partial Fractions and Completing the Square

Tables

1.  Algebra, Calculus, Trigonometry, etc.

2.  Laplace Transforms

Applications

1.  Free Falling Bodies

2.  Population Growth

3.  Diffusion of a Solute and a Cooling Body

4.  Water in a Draining Tank

5.  A Mixing Problem

6.  Oscillating Spring Mass System

7.  Forced Spring Mass System

8.  A Simple Pendulum

9.  An Electrical Circuit

10.  Deflection of a Beam

11.  Reacting Chemicals

12.  The Predator-Prey System

Reviews

1.  Quadratics

2.  Graphing

3.  Eigenvalues and Eigenvectors (2×2 matrices)

4.  Solutions of Differential Equations

5.  Separation of Variables

6.  First Order Linear Equations