SF1610 Discrete Mathematics 7.5 credits

Diskret matematik

Basic course of discrete mathematics.

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Offering and execution

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Course information

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. Sets, functions, relations, infinite sets and cardinal numbers. Proof by induction and recursions. Elementary group theory as the theorem of Lagrange and in particular the symmetrical group. Boolean algebra. Error correcting codes and in particular Hamming codes. Combinatorics, permutations, combinations, binomial and multinomial numbers, Stirling numbers, the sieve principle. Elementary graph theory, Eulerian and Hamiltonian graphs, matchings in bipartite graphs, planar graphs.

Intended learning outcomes *

After the course the student should be able to

  • use concepts. theorems and methods to solve and present solutions to problems within the parts of discrete mathematics described by the course content,
  • read and comprehend mathematical text.

Course Disposition

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Literature and preparations

Specific prerequisites *

Active participation in SF1624 Algebra and Geometry or SF1684 Algebra and Geometry.

Recommended prerequisites

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Equipment

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Literature

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

Examination and completion

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

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Opportunity to raise an approved grade via renewed examination

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Examiner

Armin Halilovic

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 SF1610

Offered by

SCI/Mathematics

Main field of study *

Mathematics, Technology

Education cycle *

First cycle

Add-on studies

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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.