Skip to main content
Till KTH:s startsida Till KTH:s startsida

SF2728 Number Theory 7.5 credits

Administer About course

Choose semester and course offering

Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.

Application

For course offering

Spring 2024 Start 16 Jan 2024 programme students

Application code

60233

Headings with content from the Course syllabus SF2728 (Autumn 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

The fundamentals of number theory, the quadratic reciprocity theorem, unique prime factorization of ideals in rings of algebraic integers, finiteness of the class number, Dirichlet's theorem of primes in arithmetic progressions.

Intended learning outcomes

After the course the student should be able to

  • formulate central definitions and theorems within the topic of the course,
  • apply and generalize theorems and methods within the topic of the course,
  • describe, analyze and formulate basic proofs within the topic of the course.

Literature and preparations

Specific prerequisites

Completed course SF1678 Groups and Rings.

Recommended prerequisites

SF1691 Complex Analysis or similar. 

Equipment

No information inserted

Literature

Announced no later than 4 weeks before the start of the course on the course web page.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F

Examination

  • TEN1 - Examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability. The examiner may allow another form of examination for re-examination of individual students.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Profile picture Lilian Matthiesen

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

SCI/Mathematics

Main field of study

Mathematics

Education cycle

Second cycle

Add-on studies

No information inserted

Contact

Lilian Matthiesen (lilianma@kth.se)