1. Introduction 1.1 Predators and Prey 1.2 Construction of the Model 2. Working With Systems 2.1 Numerical Methods 2.2 Graphical Representation of Solutions 2.3 The Direction Field 2.4 Equilibrium Points 3. Models of Competition 3.1 Competing Species I 3.2 Competing Species II 3.3 Competing Species III Appendix: Second-Order Differential Equations as Systems Project 1: Predator-Prey Models with Harvesting