SF1608 Mathematics I 9.0 credits

Matematik I

Basic course in calculus of one variable with applications.

Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

Course information

Content and learning outcomes

Course contents *

Binomial theorem. Proof by induction. Real functions of one real variable; limit, continuity. Inverse functions. Elementary functions. Derivatives, higher-order derivatives. Extreme value problems. Implicit differentiation. Elementary first and second order differential equations. Linear approximations and Taylor's formula. L'Hôpitals rule. The Riemann integral in one variable with geometrical and other applications.

Intended learning outcomes *

To acquire a basic understanding of polynomials and proof by induction. To acquire a good understanding of and ability to apply basic calculus of one variable.

Course Disposition

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Literature and preparations

Specific prerequisites *

Advanced mathematics (NT from high school level).

Recommended prerequisites

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Persson&Böiers/Analys i en variabel.

LTH/Övningar i analys i en variabel.

Examination and completion

Grading scale *

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

Examination *

  • TEN1 - Examination, 9.0 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 *

One written exam (TEN1; 9 hp).

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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Further information

Course web

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Offered by


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.