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Photo: /Konstnär: Per Petersson
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Applied Functional Analysis

Course
MMA400
Master’s level
7,5 credits (ECTS)
Studietakt
50%
Undervisningstid
Day
Studieort
Göteborg
Undervisningsform
Campus
Undervisningsspråk
English
Duration
-
Application open
-
Anmälningskod
GU-11755
Tuition
Full education cost: 15 125 SEK
First payment: 15 125 SEK

No fees are charged for EU and EEA citizens, Swedish residence permit holders and exchange students.

More information about tuition fees

Application opens 15 March 2021

About

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.

For
more information

Prerequisites and selection

Requirements

Knowledge equivalent to the couses MMG400 Linear Algebra II and MMG300 Multivariable Analysis.

Selection

All eligible applicants who have applied before the deadline will be granted a place.

Facilities

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.

Maps for
Campus Johanneberg