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
Availability
Class details
Adelaide City Campus East
Class number 27922
Section FR01
Size 125
Available 125
Class number 27923
Section TU01
Size 125
Available 125
Class number 27924
Section WS01
Size 32
Available 32
Class number 27925
Section WS03
Size 32
Available 32
Class number 27926
Section WS04
Size 32
Available 32
Class number 27927
Section WS05
Size 32
Available 32
Mawson Lakes
Class number 23562
Section FR01
Size 25
Available 25
Class number 23563
Section TU01
Size 25
Available 25
Class number 23564
Section WS01
Size 25
Available 25
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