units
MTH2032
Faculty of Science
This unit entry is for students who completed this unit in 2016 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.
6 points, SCA Band 2, 0.125 EFTSL
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
Faculty
Organisational Unit
School of Mathematical Sciences
Coordinator(s)
Offered
- Second semester 2016 (Day)
Synopsis
This unit introduces mathematical techniques for differential equations. These equations appear in a number of physical models, such as oscillations, heat conduction and transport equations. Methods to study ordinary differential equations include separation of variables, substituting methods, variation of parameters, series solutions and numerical techniques (Euler, Heun's method). Partial differential equations describing physical models are derived, and analysed through Fourier series, separation of variables and characteristics techniques.
Outcomes
On completion of this unit students will be able to:
- Describe various classes of ordinary and partial differential equations and the physical systems to which they apply;
- Identify the differential equations that describe various physical processes including those for simple harmonic motion, diffusion, wave propagation and mass transport;
- Describe the essential mathematical properties of these differential equations;
- Construct solutions of differential equations using analytic and computational methods;
- Appreciate the role that differential equations and their solutions play in the scientific process, in particular their use as a tool to model physical systems and allow predictions to be made and tested.
Assessment
Examination (3 hours): 70%
Assignments and quizzes: 20%
Mid-semester test: 10%
Workload requirements
Three 1-hour lectures and one 2-hour workshop per week
See also Unit timetable information
Chief examiner(s)
This unit applies to the following area(s) of study
Applied mathematics
Astrophysics
Atmospheric science
Financial and insurance mathematics
Mathematical statistics
Mathematics
Pure mathematics
Physics
Prerequisites
Co-requisites
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