Ordinary Differential Equations (MATH 2310)

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.
Course code: MATH 2310
Credits: 3.0
Length: 60.0 hours
Course outline: view https://www.vcc.ca/vccphp/courseoutline?subject=MATH&number=2310

Prerequisites

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

Additional Information

  • 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

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

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