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An introduction to the methods of solution for partial differential equations and to their applications.
Partial differential equations are the life blood of the natural and physical sciences, arising in situations where variations in time and space are both important. Usually, to find a solution one can use analytical or numerical techniques. In this course we concentrate on finding analytical solutions using the following methods:• method of Characteristics for first order linear and quasilinear equations• separation of variables• fourier and Laplace transforms
Students successfully completing this course should:master the techniques listed abovebe able to recognize the canonical examples of each solution methodbe able to identify the correct approach to solve a novel problem coming from applicationshave a good grounding in PDE theory in order to progress to more advance applied or pure mathematics courses
This course will provide students with an opportunity to develop the Graduate Attributes specified below:
Critically competent in a core academic discipline of their award
Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.
(MATH201 and MATH202) or EMTH210
MATH361, EMTH391, EMTH413
Students must attend one activity from each section.
General information for students
Domestic fee $749.00
International fee $3,788.00
* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.
For further information see
Mathematics and Statistics.