To develop students' understanding of differential equations and their significance in mathematics and the ``real'' world; to develop student's ability to interpret differential equations in terms of a physical application, and the ability to develop a system of differential equations that models a dynamic situation; to familiarize students with some special types of differential equations and to learn how to find their analytical solutions; to develop students' ability to interpret the behavior of a solution of a system of differential equations without finding the analytical solution; and to further develop students' ability to utilize mathematical software to generate and graph approximations to the solution of systems of differential equations.

This course in differential equations will focus on:

• First order differential equation solution techniques (Chapter 1)
• Modeling and numerical methods (Chapter 2)
• Higher order linear differential equations (Chapter 3)
• Systems of differential equations (Chapters 4 \& 5)
• Laplace Transforms (Chapter 7)