KH0021 Mathematics for Technical Preparatory Year I 12.0 credits

Matematik för basår I

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Course information

Content and learning outcomes

Course contents *

MODULE A: TENA

  • 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.

MODULE B: TENB

  • 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 *

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Course Disposition

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Literature and preparations

Specific prerequisites *

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Recommended prerequisites

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Equipment

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Literature

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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 *

A, B, C, D, E, FX, F

Examination *

  • 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

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Opportunity to raise an approved grade via renewed examination

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Examiner

Hanna Magnholt Ohlman

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 KH0021

Offered by

CBH/Engineering Pedagogics

Main field of study *

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Education cycle *

Pre-university level

Add-on studies

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Contact

Hanna Magnholt Ohlman (hohlman@kth.se)