Course syllabus

Matematiska strukturer
Mathematical Structures

FMAN65, 6 credits, A (Second Cycle)

Valid for: 2023/24
Faculty: Faculty of Engineering, LTH
Decided by: PLED F/Pi
Date of Decision: 2023-04-18

General Information

Main field: Technology.
Compulsory for: Pi3
Elective for: D4, F4
Language of instruction: The course will be given in Swedish


Besides mere knowledge imparting, the course aims to give training in theorem proving, and to bring out the possibilities of a more abstract representation of mathematical concepts and the connections between them. The intention is to give an overall view elucidating the foundations of the mathematical theories in the basic courses.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must


Sets. Real numbers. Metric spaces. Algebra (groups and linear spaces). Banach spaces and Hilbert spaces with applications.

Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Take-home exam followed by an oral exam.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.


Assumed prior knowledge: FMAF01 Analytic functions and FMAF05 Systems and Transforms.
The number of participants is limited to: No
The course overlaps following course/s: FMA111, FMA110

Reading list

Contact and other information

Course coordinator: Studierektor Anders Holst,
Teacher: Jacob Stordal Christiansen,
Course homepage: