Start: Tuesday January 21, Time: 13.15-15.00, Room 3418 Math Building, Lindstetdsv. 25
The course will run on Tuesdays: 13.15-15.00
To learn about certain problems with origins in industrial applications. The goal is to introduce students to real-world problems and to provide them with tools and techniques for solving such problems. The course can be seen as an introduction to the subject and there are possibilities of further study and "Examensarbete" in mathematics.
Several Variable Calculus, Vector Analysis, Ordinary Differential Equations, Fourier Series, Numerics.
Harmonic/Caloric functions, Greens function, Poisson/Laplace Equation, Maximum Principle, Calculus of Variation, Discrete Version of these. References will be suggested for each topic.
Crystal Precipitation, Air Quality Modelling, Electron Beam Lithography, Development of Color Film Negative, Catalytic converter. A few other topics will be added as projects.
Standard courses in Calculus and Linear Algebra. It is desirable but not necessary to have some knowledge in: Fourier analysis, functions of one complex variable, ordinary differential equations, and some numerics.
Industrial Mathematics (A course in solving real world problems) by Avner Friedman and Walter Littman. ISBN 0-89871-324-2.
Any standard basic literature in ODE/PDE.
The examination will consist of two parts.
Home work assignments to be announced here: Total 6 separate HW, each containing a few problems both from the book and also general PDE/ODE knowledge.
A Short presentation or a project: The exact format of projects will be announced here.