This course focuses on ordinary differential equations, mostly of the first and second order, and some of their many applications. Since the time of Isaac Newton differential equations were used to predict future and to understand the rules governing changes which occur in nature. As a result, differential equations are widely used to model phenomena that arise in the sciences and engineering. We will discuss as many of these models as we have time for.
Throughout the course we will use analytic and numerical solution methods, as well as qualitative method, which enable us to discover important properties of solutions without the actually having the formula.
The text for this course is Differential Equations by Blanchard, Devaney, and Hall, 3rd edition