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The course in Mathematical Models, Analysis and Simulation, is a course in numerical methods with a mathematical emphasis offering applied and numerical mathematics useful for scientific and engineering modeling. There is an emphasis on close connection between the properties of mathematical models and their successful numerical treatment.
It covers several themes: 1) Numerical linear algebra, much as a tool for the following, 2) equilibrium problems using a network approach (applied both in e.g electrical networks as well as in algorithms for search engines on the internet), 3) dynamical systems described by systems of ordinary differential equations, 4) modeling by partial differential equations - their characteristics and numerical solution, 5) Fourier series, the Fast Fourier Transform (FFT), and spectral methods for the solution of PDEs.
Course specific material, like lecture notes, homework assignments etc, will be posted during the course, see the links on the left.
You can also have a look at last years (fall 2013) homepage to get a better idea: