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Information for students, faculty and staff regarding COVID-19. (Updated: 18 November 2020)

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Real Analysis

  • Number of credits 7.5 Credits
  • Level Bachelor's level
  • Starting Autumn Term 2020

About the course

The course provides advanced knowledge of concepts and theorems in advanced analysis. The concept of topology is introduced in
metric spaces. The concepts of compactness and continuity are essential. Thereafter real-valued functions defined on
metric spaces are studied, with a focus on continuity and function sequences. Central theorems are Heine-Borel covering theorem, Urysohn's lemma and Weierstrass' approximation theorem. The concept of differentiability of vector-valued functions is introduced and
the inverse and implicit function theorems are proved.

Application and eligibility

Real Analysis, 7.5 hp

Det finns inga tidigare terminer för kursen Autumn Term 2020 Det finns inga senare terminer för kursen

Starts

31 August 2020

Ends

1 November 2020

Study location

Umeå

Language

English

Type of studies

Daytime, 50%

Required Knowledge

The course requires 60 ECTS in mathematics or at least two years university studies. In both cases requires 15 ECTS in Calculus and 7,5 ECTS in Linear Algebra or equivalent. Proficiency in English equivalent to Swedish upper secondary course English 5/A. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies

Selection

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

UMU-58026

Application

Application deadline was 15 April 2020. Please note: This second application round is intended only for EU/EEA/Swiss citizens. Submit a late application at Universityadmissions.se.

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

SEK900

Tuition fee, first instalment

SEK17,850

Total fee

SEK17,850

Contact us

Please be aware that the University is a public authority and that what you write here can be included in an official document. Therefore, be careful if you are writing about sensitive or personal matters in this contact form. If you have such an enquiry, please call us instead. All data will be treated in accordance with the General Data Protection Regulation.

Contact person for the course is:
Study counselor Lars-Daniel Öhman