Advanced Real Analysis I, 7.5 ECTS

Second level

Facts

Study pace 25%
Study time Daytime
Study form Normal
Language English
Special eligibility requirements
90 credits in mathematics, including the course Foundations of Analysis 7.5 ECTS credits (MM7001) or equivalent. English B/English 6 or equivalent.

Description

The course covers measure theory, integration and functional analysis, integration of measurable functions (Lebesgue integrals), convergence theorems, product measure, Fubini’s theorem, Banach spaces including the LP spaces and fundamental theorem…

The course covers measure theory, integration and functional analysis, integration of measurable functions (Lebesgue integrals), convergence theorems, product measure, Fubini’s theorem, Banach spaces including the LP spaces and fundamental theorems on linear operators and functionals. Applications are found in Fourier analysis, ergodic theory, probability theory, Sobolev spaces and partial differential equations.

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Area of interests: Information only in Swedish

Information only in Swedish

Subject

Mathematics

As a mathematical theory always implies that certain conclusions hold under certain given conditions, it can in principle say nothing about the physical reality. None the less mathematics has become an indispensable tool for a large number of subjects like astronomy, physics, chemistry, statistics and the technical sciences and in later times also for economy, biology, various social sciences and computor science. The role of mathematics in the applied sciences is both to supply notions for exact and adequate formulations of empirical laws but also from these laws to derive consequences, which can be used to find better models of the reality one has to describe. These tasks have lately become more important. Mathematics is in continual progress by intensive international research, new theories are created and already existing theories are simplified and augmented.

Mathematics

Course events

Autumn 2017

Study pace 25 %
Study time Daytime
Study form Normal
Language English.

Selection: No selection.

Start period: Period 1 - starts during the first half of the semester

Location: Stockholm

Further information on the education:
http://kurser.math.su.se

Additional information: Application deadline 18 April.

Tuition fee

Tuition fees only concern citizens outside the EU, EES and Switzerland
First instalment: 17500 SEK
Total course/programme fee: 17500 SEK

Tuition fees only concern citizens outside the EU, EES and Switzerland
Appl.code: SU-48977