Differential Equations

Undergraduate | 2026

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Area/Catalogue
MATH X202
Course ID icon
Course ID
207609
Level of study
Level of study
Undergraduate
Unit value icon
Unit value
6
Course level icon
Course level
2
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Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
Yes
University-wide elective icon
University-wide elective course
Yes
Single course enrollment
Single course enrolment
Yes
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Note:
Course data is interim and subject to change

Course overview

This course develops fundamental concepts in ordinary differential equations (ODEs) and introduces partial differential equations (PDEs). A range of methods for solving first-order ODEs (using both analytic and numerical techniques) will be developed and their qualitative solution behaviour will be investigated. These concepts will be extended to linear coupled first-order ODEs and second order ODEs. PDEs will be introduced, and the heat, wave and Laplace equations will be solved using separation of variables.

  • Introduction And First Order Odes
  • Systems Of First Order Odes
  • Second Order Odes
  • Partial Differential Equations (Pdes)

Course learning outcomes

  • Apply appropriate analytic solution methods to first and second order ODEs, systems of linear ODEs, and constant-coefficient PDEs
  • Formulate linear ODE models for practical applications involving one or two dependent variables
  • Calculate solutions of linear ODEs and PDEs as analytic functions or series solutions
  • Identify ODE solution behaviour, such as bifurcations, fixed points, and qualitative behaviour
  • Develop numerical code which utilises in-built solvers and plotting functions to compute and illustrate solutions of ODEs

Prerequisite(s)

N/A

Corequisite(s)

N/A

Antirequisite(s)

N/A