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Before choosing courseSF1608 Mathematics I 9.0 creditsAdministrate About course

Basic course in calculus of one variable with applications.

Course offering missing for current semester as well as for previous and coming semesters
* Retrieved from Course syllabus SF1608 (Autumn 2008–)

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

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


  • TEN1 - Examination, 9,0 hp, betygsskala: 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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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

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Offered by


Main field of study

Mathematics, Technology

Education cycle

First cycle

Add-on studies

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