Goal:

To learn about certain problems with origin in industrial application. 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 possiblities of further study and "Examensarbete" in mathematics.

Topics:

Basics in Mathematical Analysis:

Several Variable Calculus, Vector Analysis, Ordinary Differential Equations, Fourier Series, Numerics.

New Mathematical Tools:

Harmonic/Caloric functions, Greens function, Poisson/Laplace Equation, Maximum Principle, Calculus of Variation, Discrete Version of these.

Industrial Topics:

Crystal Precipitation, Air Quality Modeling, Electron Beam Lithography, Development of Color Film Negative, Catalytic converter, Photocopy Machine.

Prerequisites:

Standard courses in Calculus, Linear Algebra. It is desirable to have knoweledge in: Fourier analysis, functions of one complex varaible, ordinary differential equations, and some numericals.

Literature:

Industrial Mathematics (A course in solving real world problems) by Avner Friedman and Walter Littman. ISBN 0-89871-324-2.

Examination

The examination will consist of two parts.

1. ◦Home work assignments
   

2. ◦A Short presentation or a project