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Hyperbolic systems of partial differential equations 866


 
Module code WTW 866
Qualification Postgraduate
Faculty Faculty of Natural and Agricultural Sciences
Module content

*Consult with the Head of the Department of Mathematics and Applied Mathematics about the availability of this master's module in a particular year.
Systems of first order partial differential equations and their relationship to wave phenomena.  The course will show that the traditional wave equation is over-rated as study material.  More detailed contents:  Hyperbolicity of first order systems (linear and nonlinear);  characteristic curves and surfaces;  domains of influence and dependence;  well-posedness of initial and boundary value problems;  shock phenomena;  numerical calculation of solutions;  application to the equations of compressible gas dynamics and Maxwell's equations for electromagnetism.
Module credits 0.00
Prerequisites Partial differential equations at 3rd-year and hons level; Advanced calculus and Linear algebra
Contact time 1 lecture per week
Language of tuition Module is presented in English
Department Mathematics and Applied Mathematics
Period of presentation Semester 1 or Semester 2
The information published here is subject to change and may be amended after the publication of this information. The General Regulations (G Regulations) apply to all faculties of the University of Pretoria. It is expected of students to familiarise themselves well with these regulations as well as with the information contained in the General Rules section. Ignorance concerning these regulations and rules will not be accepted as an excuse for any transgression.

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