We need Computer Algebra whenever we need exact, symbolic solutions instead of approximative solutions. One of the central points here will be Gr bner basis technique. Victor Ufnarovski, tel. The calculus of variations deals with optimization problems where the variable is not of finite dimension but consists of continuous functions. Many laws of physics can be formulated as a variational principle, e.g., the law of light refraction.
Calculus of variations is one of the corner stones of classical mechanics.
The theory has also applications in technology, e.g. in Systems theory and Optimal control. Linear analysis for F or Complex and linear analysis, or equivalent. Some compulsory assignments. The course aims at fundamental knowledge of the properties of systems of ordinary differential and difference equations, in particular nonlinear ones, and of analytical methods for solving these. It also gives an introduction to the use of mathematical software, symbolical and numerical, for investigation of such systems.