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.
SF1697 Algebra and Geometry 7.5 credits

Information per course offering
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]
 - Schedule
 - Part of programme
 
Contact
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–)Content and learning outcomes
Course contents
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
Examination and completion
Grading scale
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
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.