During one semester, I led one of the exercise groups (30 hours total) for a graduate-level functional analysis course taught by Professor Agnieszka Świerczewska-Gwiazda. The course focused on the structure and properties of locally convex spaces, explored weak topologies, and included key results such as the Alaoglu-Bourbaki and Krein-Smulian theorems. We also studied extreme points and the Krein-Milman theorem, laying a solid foundation for convex analysis. In the second part of the course, the focus shifted toward the theory of distributions, the Fourier transform, and Sobolev spaces—tools essential in modern analysis and partial differential equations.
The exercieses were mostly based on the book of Werner, as well as the book of Rudin, where one can find many interesting exercieses at the end of the chapters.