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SI1146 Vector Analysis 4.0 credits

About course offering

For course offering

Autumn 2024 Start 26 Aug 2024 programme students

Target group

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Part of programme

Degree Programme in Engineering Physics, åk 2, Mandatory

Degree Programme in Vehicle Engineering, åk 3, Conditionally Elective

Master of Science in Engineering and in Education, åk 3, MAFY, Mandatory


P1 (4.0 hp)


26 Aug 2024
27 Oct 2024

Pace of study


Form of study

Normal Daytime

Language of instruction


Course location


Number of places

Places are not limited

Planned modular schedule


For course offering

Autumn 2024 Start 26 Aug 2024 programme students

Application code



For course offering

Autumn 2024 Start 26 Aug 2024 programme students


Edwin Langmann (


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Course coordinator

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Headings with content from the Course syllabus SI1146 (Spring 2017–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Concept within vector calculus and their physical applications: the nabla operator, integral theorems and potential theory. Tensors with applications from for example electrodynamics and continuum mechanics. Special vector fields and their importance within physical modelling. Modelling by means of vector calculus. The concept of symmetry with relation to basic group theory and its importance within physics.

Intended learning outcomes

On completion of the course, a student should be able to

  • Use vector calculus to describe and analyse physical systems
  • Be able to model and formulate basic physical problems within for example electromagnetism and fluid mechanics by means of vector calculus
  • Describe different physical situations where singular vector fields arise and use these to describe physical systems
  • Apply tensor analysis on basic physical problems within for example solid mechanics
  • Use symmetries and basic group theory to draw conclusions about physical systems

Literature and preparations

Specific prerequisites

Completed course:

  • SF1674 Multivariable analysis

Recommended prerequisites

SF1673 and SF1672 


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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


  • TEN1 - Written Examination, 4.0 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

Approved examination.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination



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


Edwin Langmann (