Interactive Syllabus

This is the third continuation of the main Maths courses in the programme.

We shall shape the individual weeks together. The work will be based on individually solved tasks and discussions, covering the following schedule:  topology in the context of metric spaces (2 weeks); calculus in more variables (constraint extrema, integration, general Stokes theorem - 4 weeks); ordinary differential equations (intro to qualitative approach, geometry of ODEs - 3 weeks); elements of partial differential equations (elementary classical methods, Cauchy-Kowalevska, etc. - 2 weeks); comments towards variational calculus and complex analysis (1 week);
comments towards complex analysis (1 week).