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Philip W.Sharp
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The description of the three mathematics courses is
MATHS 270: Numerical computation
Many mathematical models occurring in science and engineering cannot be solved exactly using algebra and calculus. In this course students are introduced to computer based methods that can be used to find approximate solutions to these problems. The methods covered in the course are powerful yet simple to use. This is a core course for students who wish to advance in Applied Mathematics.
MATHS 361: Partial Differential Equations
Partial differential equations (PDEs) are used to model many important applications of phenomena in the real world such as electric fields, diffusion and wave propagation. An introduction to linear PDEs and analytical methods for their solution. The course will also cover weak solutions.
MATHS 770: Advanced Numerical Analysis
This course covers the use, implementation and analysis of efficient and reliable numerical algorithms for solving several classes of mathematical problems. The course assumes students have done an undergraduate course in numerical methods and can use Matlab or other high-level computational language.
MATHS 362: Methods in Applied Mathematics
The course covers a selection of techniques including the calculus of variations, asymptotic methods and models based on conservation laws. These methods are fundamental in the analysis of traffic flow, shocks, fluid flow, as well as in control theory, and the course is recommended for students intending to advance in Applied Mathematics.