Ordinary Differential Equations

This course explores the solutions to ordinary differential equations and is intended for students in Science, Engineering, and Computer Science degree programs.

Students will solve first- and second-order linear differential equations using appropriate techniques; analyze problems from the natural and physical sciences using differential equations; use Laplace transforms to solve initial value problems and integral equations; solve systems of first-order linear differential equations; classify ordinary differential equations according to order and linearity, and identify appropriate techniques for solving each; apply numerical methods to approximate solutions to differential equations; apply qualitative techniques such as phase plane analysis to describe solutions; explore series solutions for differential equations.

Prerequisites

MATH 1200 with a C- and MATH 1221 with a C- or equivalent.

What you will learn

• 1) Classification of Differential Equations
• 2) First Order Differential Equations
• 3) Second Order Linear Equations
• 4) Systems of First Order Linear Equations
• 5) Nonlinear Differential Equations and Stability
• 6) Series Solutions of Second Order Linear Equations
• 7) The Laplace Transform
• 8) Numerical Methods

How to register

This course is offered as part of a VCC program only.

Contact us

If you have any question, please email at advising@vcc.ca.

† This information is intended as a guideline only. Program and course details are subject to change with the approval of VCC's Board of Governors.