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Partial Differential Equations

  • Number of credits 7.5 credits
  • Level Master’s level
  • Starting Autumn Term 2023

About the course

The course gives an overview of the theory of partial differential equations (PDEs).

The course can be divided into two main parts. The first part treats the Laplace-, heat- and wave- equation whichrepresent model examples of linear elliptic, parabolic and hyperbolic PDEs. Furthermore, first-order non-linear problemsand explicit solution techniques (e.g. transform methods, fundamental solutions, Green's function, scale invariance) areconsidered. The second part of the course covers weak solutions for second-order equations. Sobolev spaces areintroduced and studied. The existence, uniqueness and regularity in these spaces is discussed and the properties ofsolutions is studied.

Application and eligibility

Partial Differential Equations, 7.5 credits

Det finns inga tidigare terminer för kursen Autumn Term 2023 Det finns inga senare terminer för kursen


28 August 2023


30 October 2023

Study location




Type of studies

Daytime, 50%

Required Knowledge

The course requires 90 ECTS of which 22,5 ECTS is within Mathematical Analysis including a course in Multivariable Calculus and Differential Equations minimum 7,5 ECTS and a course in Linear Algebra minimum 7,5 ECTS. Proficiency in English equivalent to the level required for basic eligibility for higher studies. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.

Entry requirements


Guaranteed place Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code



Application deadline was 17 April 2023. The application period is closed.

Application and tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK 900

Tuition fee, first instalment

SEK 17,850

Total fee

SEK 17,850

Contact us

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Contactperson for the course is:
Study counselor Lars-Daniel Öhman