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IX1307 Problem-Solving in Mathematics 7.5 credits

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.


For course offering

Autumn 2024 Start 26 Aug 2024 programme students

Application code


Headings with content from the Course syllabus IX1307 (Spring 2024–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Mathematical logic, mathematical definitions, basic number theory, sets, functions, mathematical axioms, algebraic equalities and inequalities, visualisation in mathematics, complex numbers, mathematical argumentation, mathematical proofs and proof models, generalisation of mathematical statements, use of computer-based mathematical tools

Intended learning outcomes

This course should give a basis to university mathematics. On completion of the course, the student should be able to:

  • communicate mathematical content
  • use mathematical statements (propositions, predicates, definitions, axioms, theorems)
  • use and visualise basic mathematical concepts: real numbers (integers, rational and irrational numbers), complex numbers, sets, functions as well as algebraic equalities and inequalities
  • use mathematical argumentation and different proof techniques
  • use computer-based mathematical tools for calculation and visualisation

Literature and preparations

Specific prerequisites

No information inserted

Recommended prerequisites

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Examination and completion

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

Grading scale

P, F


  • INL1 - Hand-in assignments, 4.5 credits, grading scale: P, F
  • TEN1 - Exam, 3.0 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.

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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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

Main field of study


Education cycle

First cycle

Add-on studies

No information inserted

Supplementary information

In this course, the EECS code of honor applies, see: