Ordinary Differential Equations –
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 Advisor.
Introduction and First Order Differential Equations
- Explain slope fields and their connection to differential equations.
- Solve first order differential equations using various methods.
- Use differential equations in real-world examples.
- Prove existence and uniqueness theorems.
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.
Series Solutions of Second Order Linear Equations
- Calculate series solutions near ordinary points and regular singular points.
- Apply the Euler equation to series solutions.
Differential Equations and Matrices
- Solve real-world initial value problems using various methods.
- Identify numerical methods for solving differential equations.
Review of Ordinary Differential Equations Concepts
- Solve concrete and applied problems relating to ordinary differential equations.
- The University of Phoenix reserves the right to modify courses.
- While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Advisor.
- Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.