Partial Differential Equations, 7.5 ECTS

Second level

Facts

Study pace 25%
Study time Daytime
Study form Normal
Language English
Special eligibility requirements
Knowledge equivalent to 90 credits in mathematics, where Linear Analysis, 7.5 credits, The Foundations of Analysis, 7.5 credits, Analytic Functions I, 7.5 credits, and Ordinary Differential Equations, 7.5 credits, or equivalent, are included. English B/English 6 or equivalent.

Description

The course covers: Introduction to first order equations. The wave equation: equation in one or several space coordinates, Huygens’ principle. The Laplace equation: fundamental solutions, Green’s function, Dirichlet problem, the maximum principle…

The course covers: Introduction to first order equations. The wave equation: equation in one or several space coordinates, Huygens’ principle. The Laplace equation: fundamental solutions, Green’s function, Dirichlet problem, the maximum principle, Dirichlet’s principle, introduction to Sobolev spaces. The heat equation: initial value problem, fundamental solutions, the maximum principle.

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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

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-48974