MEK4100 – Mathematical Methods in Mechanics
Course description
Course content
The course offers an introduction to some key topics of mathematics applied in physics. The first major topic is dimensional analysis, scaling and perturbation techniques. Included are regular and singular perturbations, the Poincare-Lindstedt?s method, boundary layers, multiple scale expansions and the WKB method. The perturbation solutions are verified by and compared to numerical solutions. The second major topic is calculus of variation and Hamilton?s principle. The application of the methods and theory in the course is demonstrated through solution of selected problems from mechanics and other natural sciences.
Learning outcome
After completing the course you
- master the Pi theorem and