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SF2736 Discrete Mathematics 7.5 credits

Course offering missing for current semester as well as for previous and coming semesters
Headings with content from the Course syllabus SF2736 (Autumn 2010–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

The fundamental theorem of arithmetics, the Euclidian algorithm and a Diophantine equation. Modular arithmetics, Fermat's theorem and RSA. Functions, infinite sets and cardinal numbers. Elementary group theory, the theorem of Langrange, the symmetrical group and the lemma of Burnside. Error correcting codes, Hamming codes. Generating functions and partitions of integers. Combinatorics, multinomial numbers, Stirling numbers, the sieve principle and the Moebius inversion formula. Elementary graph theory, coloring problems, matchings in bipartite graphs, flows and cuts.

Intended learning outcomes

The overall goal is to give basic knowledge in Discrete mathematics, in particular a good knowledge in elementary combinatorics, knowledge of some abstract algebraic structure and the use of it, and knowledge of some selected topics in graph theory.
After the course it is expected that the student will have achieved a better ability for treating and applying mathematics in general.

Course disposition

No information inserted

Literature and preparations

Specific prerequisites

Elementary linear algebra, for example SF1604.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

Biggs: Discrete Mathematics, 2:nd ed.

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.

TEN1-written examination, 7.5 hp, Grades A-F.

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 web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF2736

Offered by

SCI/Mathematics

Main field of study

Mathematics

Education cycle

Second cycle

Add-on studies

No information inserted

Supplementary information

The course is replaced by SF1679.