Course overview
Mathematical models are used to understand, predict and optimise engineering systems. Many of these systems are deterministic and are modelled using differential equations. This course provides an introduction to differential equations and their applications in engineering. The following topics are covered: Linear ordinary differential equations of second and higher order, series solutions, Fourier series, Laplace transforms, partial differential equations, Fourier transforms.
Course learning outcomes
- Derive mathematical models of physical systems
- Present mathematical solutions in a concise and informative manner
- Recognise ODEs that can be solved analytically and apply appropriate solution methods
- Solve more difficult ODEs using power series
- Know key properties of some special functions
- Express functions using Fourier series
- Solve certain ODEs and PDEs using Fourier and Laplace transforms
- Solve problems numerically via the fast Fourier transform using Matlab
- Solve standard PDEs (wave and heat equations) using appropriate methods
- Evaluate and represent solutions of differential equations using Matlab
Availability
Class details
Adelaide City Campus East
Class number 26445
Section FR01
Size 500
Available 500
Class number 26457
Section WS01
Size 42
Available 42
Class number 26456
Section WS02
Size 42
Available 42
Class number 26455
Section WS03
Size 42
Available 42
Class number 26454
Section WS04
Size 42
Available 42
Class number 26453
Section WS05
Size 42
Available 42
Class number 26452
Section WS06
Size 42
Available 42
Class number 26451
Section WS07
Size 42
Available 42
Class number 26450
Section WS08
Size 42
Available 42
Class number 26449
Section WS09
Size 42
Available 42
Class number 26448
Section WS10
Size 42
Available 42
Class number 26447
Section WS11
Size 42
Available 42
Class number 26446
Section WS12
Size 42
Available 42
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