Linear, Separable, and Exact Equations Existence and Uniqueness Theorems Difference Equations Basic Theory of First, Second and Higher Order Homogeneous and Non-Homogeneous Equations Variation of Parameters Undetermined Coefficients Series Solutions Laplace Transform Systems of Equations

The EPGY Differential Equations course presents basic techniques and methods for solving ordinary differential equations, covering many if not all of the topics found in most first-quarter college courses in differential equations. Emphasis is placed on understanding the general properties of solutions, as well as the fundamental structure of solution sets. This course provides a central foundation upon which many areas of both pure and applied mathematics are built. In addition, a basic understanding of ordinary differential equations and their solutions is particularly useful for students planning to study physics, chemistry, economics, engineering, biology, and many other of the sciences. Prerequisites: M51A and M52A or equivalents. (4 units).