Geometry of DE

Course Description: Differential equations is a branch of mathematics that is to describe the laws of nature. Applications found in engineering, chemistry, physics, and other sciences are often modeled with differential equations. This course focuses on learning the basic computational techniques for solving differential equations. Students will become proficient in recognizing various types of differential equations and applying an appropriate computational procedure. Students will continue to build upon the calculus concepts.

By the end of the course, students will be proficient with various analytical and numerical techniques for computing solutions for a differential equation. These techniques will include finding general solutions for linear differential equations, separation of variables, variations of parameters, undetermined coefficients, concepts of linear independence, the Wronskian, exact equations, computing power series solutions, and looking at numerical methods. Students will learn how to compute solutions by using Laplace transforms and solving systems of linear differential equations.