Overview
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Learning outcomes
Understand the role of partial differential equations in the mathematical modelling of physical processes;
Solve a range of first-order partial differential equations including using the 'method of characteristics';
Appreciate the properties of the three basic types of linear second-order partial differential equations, including suitable initial and/or boundary conditions;
Understand the mathematical properties of the diffusion equation, wave equation and Laplace's equation and solve them exactly under some simple conditions;
Analyse and interpret simple applications modelled by the advection equation, diffusion equation and Laplace's equation;
Understand the principles of finite-difference approximation of ordinary and partial differential equations and appreciate the advantages and disadvantages of a range of useful numerical techniques, including their stability;
Evaluate numerical solutions of some partial differential equations using computers, and display those results graphically.
Assessment summary
Examination (3 hours and 10 minutes): 60% (Hurdle)
Continuous assessment: 40% (Hurdle)
Hurdle requirement: If you would otherwise have passed the unit but you do not achieve at least 45% in the end of semester written examination and continuous assessment you will receive a Hurdle Fail (NH) grade and a mark of 45 on your transcript.
Workload requirements
Other unit costs
Costs are indicative and subject to change.
Miscellaneous items required (unit course reader, printing, stationery) - $120.
Availability in areas of study
Financial and insurance mathematics
Mathematical statistics
Mathematics
Pure mathematics