Skip to main content

KH0021 Mathematics for Technical Preparatory Year I 12.0 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 TBASD programme students

Application code


Headings with content from the Course syllabus KH0021 (Autumn 2020–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents


  • Vectors; Arithmetical operations. Components of vectors. Coordinates. Vector length.
  • Algebraic expression and algebraic methods; Implication and equivalence. Polynomial. Powers. Square roots. Absolute value. Equations. Factorial polynoms Rational expressions. Linear equation systems. Linear inequalities.
  • Functions; Linear functions. Direct proportionality. Quadratic functions. Power functions.
  • Right-angle trigonometry.
  • Uniformity; Triangle theorems Area and volume scale factors.


  • Exponential functions.
  • Logarithms; Logarithm laws. Natural logarithms.
  • Derivatives; Change rates. Limits. The definition of the derivative. Derivation rules.
  • Derivatives and graphs; Extreme points and extreme values. Increasing and decreasing. Maximum and minimum values. Second derivative.
  • The equation of the circle.
  • Area theorem. Sine law. Cosine law.

Intended learning outcomes

No information inserted

Literature and preparations

Specific prerequisites

No information inserted

Recommended prerequisites

No information inserted


No information inserted


No information inserted

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


  • TENA - Written examination, 6.0 credits, grading scale: A, B, C, D, E, FX, F
  • TENB - Written examination, 6.0 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.

Other requirements for final grade

Final grades are based on the total number of points from both written examinations.

For final grade, it is required that all examination parts are approved

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 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

This course does not belong to any Main field of study.

Education cycle

Pre-university level

Add-on studies

No information inserted


Hanna Magnholt Ohlman (