The purpose of this course is to introduce the basic notions of linear algebra and to prove rigorously the main results of the subject.
This is a course on the classic differential geometry of curves and surfaces, mainly in the (pseudo)-Euclidean plane and three-space.
The subject deals with differential geometry and its relation to global analysis, partial differential equations, geometric measure theory and variational principles to name a few.
The goal of this course is to introduce the student to the basic notion of analysis on metric (measure) spaces, quasiconformal mappings, potential theory on metric spaces, etc. The subjects covered will vary each year.