Course Description
Topics include the first order differential equations, modeling and applied problems involving first order differential equations, linear second order equations, modeling of free and forced mechanical vibrations, higher order linear differential equations, Cauchy-Euler (equidimensional) equations, Laplace integral transformation, matrix methods for linear systems.

Learning Objectives
By the end of this course, students will be able to:

• Construct solutions of elementary differential equation problems,
• Learn how such problems arise in applications,
• Learn to model engineering problems,
• Analyze how the solutions vary as problem parameters as well as initial conditions change,
• Use technology to compute and display solutions,
• Learn and use operational analysis to solve differential equations,
• Learn matrix methods to solve linear systems of differential equations

Course Materials
Textbook: Fundamentals of Differential Equations and Boundary Value Problems, by R. Kent Nagle, Edward B. Saff, and Arthur David Snider,7th edition, Pearson, 2019.