# Ordinary Differential Equations – mth370 (3 credits)

This course focuses on the concepts related to and applications of ordinary differential equations. Students examine and solve first order, linear, and non-linear differential equations and higher order linear differential equations. Existence and uniqueness theorems are discussed. Students also explore and apply numerical methods and series solutions of differential equations.

This undergraduate-level course is 5 weeks. This course is available to take individually or as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.

### Differential Equations and Matrices

• Identify numerical methods for solving differential equations.
• Solve real-world initial value problems using various methods.

### Review of Ordinary Differential Equations Concepts

• Solve concrete and applied problems relating to ordinary differential equations.

### Introduction and First Order Differential Equations

• Prove existence and uniqueness theorems.
• Explain slope fields and their connection to differential equations.
• Solve first order differential equations using various methods.
• Use differential equations in real-world examples.

### Series Solutions of Second Order Linear Equations

• Apply the Euler equation to series solutions.
• Calculate series solutions near ordinary points and regular singular points.

### Higher Order Linear Equations

• Describe solution methods for higher order differential equations.
• Use various methods to solve homogenous equations.
• Solve real-world problems involving mechanical, electrical, and forced vibrations.