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SF1680 Seminar Course in Elementary Mathematics I 8.0 credits

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

Headings with content from the Course syllabus SF1680 (Autumn 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

The course content may vary from year to year. But each year we will select subjects that show a rich mathematical structure. The areas will also be selected in order to represent different mathematical methods and approaches; for example the axiomatic method, constructive methods, algebraic methods in geometry and topology.

Typically, the course will include a mix of algebra (eg, solution of polynomial equations or unsolvability of classic problems such as angle trisection), analysis (e.g. the question “for which functions do the fundamental theorem of calculus hold?”), topology (e.g. “what two-dimensional surfaces are possible?”) or geometry (e.g. non-Euclidean geometry).

The content of the course should be seen as the abstract ideas behind mathematics rather than the topics covered in the course.

Intended learning outcomes

After the course the student is expected to

  • be able to use terminology, results and methods to solve, and present solutions of, problems described within the course contents,
  • read and understand mathematical text.

Course disposition

No information inserted

Literature and preparations

Specific prerequisites

Basic requirements. 

Recommended prerequisites

No information inserted


No information inserted


The literature is published on the course webpage no later than four weeks before the course starts.

Examination and completion

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

Grading scale

P, F


  • TEN1 - Exam, 8.0 credits, grading scale: P, 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,lastingdisability. The examiner may allow another form of examination for reexamination 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


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 SF1680

Offered by

Main field of study


Education cycle

First cycle

Add-on studies

No information inserted