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SF1697 Algebra and Geometry 7.5 credits

Information per course offering

Termin

Information for Spring 2026 Start 16 Mar 2026 programme students

Course location

KTH Campus

Duration
16 Mar 2026 - 1 Jun 2026
Periods

Spring 2026: P4 (7.5 hp)

Pace of study

50%

Application code

60312

Form of study

Normal Daytime

Language of instruction

Swedish

Course memo
Course memo is not published
Number of places

Places are not limited

Target group
No information inserted
Planned modular schedule
[object Object]

Contact

Examiner
No information inserted
Course coordinator
No information inserted
Teachers
No information inserted

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus SF1697 (Autumn 2025–)
Headings with content from the Course syllabus SF1697 (Autumn 2025–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Lines, planes, vectors, matrices, linear equations, Gaussian elimination, vectorgeometry with dot product and vector product, determinants, vector spaces, linear independence, bases, change of basis,Gram-Schmidt's method, linear transformations, the least-squares method, eigenvalues, eigenvectors, diagonalization. Applications and numerical treatment of problems.

Intended learning outcomes

fter completing the course, the student should be able to: 

• Use concepts,theorems and methods to solve, and present solutions to, problems within the parts of linear algebra, including its applications,described by the course content. 

• Use programming to solve problems within the parts of linear algebra, including its applications, described by the course content. 

• Read and comprehend mathematical text. 

with the purpose to: 

 
• Developing a good understanding of fundamental linear algebra and being able to use it to mathematically model applied problems. 

 
• Develop skill in visualizing central concepts and solve applied problems with programming, as well as presenting the results in a clear manner.

Literature and preparations

Specific prerequisites

Basic requirements and SF1695Baskursimatematik

Literature

You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.

Examination and completion

Grading scale

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

Examination

  • DAT1 - Computer laboration, 1.5 credits, grading scale: P, F
  • TEN1 - Exam, 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.

If the course is discontinued, students may request to be examined during the following two academic years.

Other requirements for final grade

Written examination, possibly with the option of continuous assessment.

Examiner

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

Mathematics, Technology

Education cycle

First cycle