PMAT 22572: Ordinary Differential Equations

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Course Code            : PMAT 22572

Title                          : Ordinary Differential Equations

Pre-requisites          : PMAT 12543

 Learning Outcomes:

At the end of this course, the student should be able to

  • distinguish linear and non-linear ordinary differential equations
  • to solve linear ordinary differential equations using appropriate methods

 Course Contents:

First-Order Ordinary Differential Equations (ODEs): Separable ODEs. Exact ODEs. Integrating Factors, Linear ODEs. Bernoulli Equation. Orthogonal Trajectories. Existence and Uniqueness of Solutions for Initial Value Problems

Second-Order Linear ODEs: Homogeneous Linear ODEs of Second Order, Homogeneous Linear ODEs with Constant Coefficients, Differential Operators, Euler–Cauchy Equations, Existence and Uniqueness of Solutions. Nonhomogeneous ODEs, Solution by Variation of Parameters

Higher Order Linear ODEs: Homogeneous Linear ODEs, Homogeneous Linear ODEs with Constant Coefficients, Nonhomogeneous Linear ODEs

 Method of Teaching and Learning: A combination of lectures and tutorial discussions.

 Assessment: Based on tutorials, tests and end of course examination.

 Recommended Reading:

  1. Kreyszig, E., (10th edition, 2011) Advanced Engineering Mathematics, Wiley.

 

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