Applied Functional Analysis

About this programme

No fees are charged for EU and EEA citizens, Swedish residence permit holders and exchange students. The course is about problems where the variables are not numbers (as in calculus), but functions or more abstract objects. A linear structure where the objects can be added and multiplied with scalars is combined with a geometric/topological structure, where we can measure distances and take limits of the objects. Functional analysis arose in the first decades of the 20th century, when mathematicians discovered that methods used to solve integral equations and partial differential equations also could be used in more abstract settings. During the course you will study normed spaces, Banach and Hilbert spaces, fixed-point theorems, compactness, spectral theory for compact self-adjoint maps, the Fredholm alternative, and applications to differential and integral equations. Knowledge equivalent to the couses MMG400 Linear Algebra II and MMG300 Multivariable Analysis. All eligible applicants who have applied before the deadline will be granted a place. Mathematical Sciences is a joint department of Chalmers/University of Gothenburg. Your education takes place in the spacious and bright premises of Mathematical Sciences at the Chalmers campus Johanneberg, where there are lecture halls, computer rooms and group rooms. Here you can also find student lunch room and reading room, as well as student counsellors and student office.