Mathematics 215 - Differential Equations
Fall Quarter 1993

Textbook:	Nagle/Staff, Fundamentals of Differential Equations, Addison Wesley, 1984.
Coordinator:	M. Cates, Professor of Mathematics and Chair.
Goals:	This course is designed to teach students the principles and techniques of analyzing and solving linear ordinary differential equations with applications to science and engineering.

Prerequisites by Topic:

1. Differentiation.
2. Integration.
3. Applications of differentiation and integration.
4. Infinite series.
5. Partial differentiation.
6. Multiple integrals.

Topics:

1. Differential equations and their solutions. (1 class)
2. Exact first order equations. (4 classes)
3. Applications of first order equations. (2 classes)
4. Explicit methods of solving higher-order linear differential equations. (4 classes)
5. Applications of second order linear differential equations. (1 or 2 classes)
6. Series solutions. (1 or 2 classes)
7. Systems of linear ordinary differential equations. (1 or 2 classes)
8. Approximate methods of solving first order ordinary differential equations. (1 or 2 classes)
9. The Laplace Transform. (1 or 2 classes)
10. Examinations. (2 classes)

Prepared by:P. K. Subramanian
Date: January 1994