Course syllabus

Tillämpad matematik - Linjära system
Applied Mathematics - Linear systems

FMAF10, 5 credits, G2 (First 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: C3, D2
Elective for: B4, BME4, K4, L4-gi, M4, W4, R4
Language of instruction: The course will be given in Swedish


The aim of the course is to treat some mathematical concepts and methods, above the basic level, that are important for further studies within e.g. machine learning, signal processing, control theory, electrical engineering and for further professional activities.

Learning outcomes

Knowledge and understanding
For a passing grade the student must


Competences and skills
For a passing grade the student must


Linear systems: Mathematical models of linear, time invariant systems. Transfer function. Step response and impulse response. The frequency function.

The Laplace transform: Step and impulse functions. Computational rules for the two-sided Laplace transform. Inverse transforms, in particular of rational functions. Use of transform tables. Convolution.

Matrix algebra: Eigenvalues and eigenvectors. Diagonalization, in particular of symmetric matrices. Quadratic forms, diagonalization and classification. Systems of differential equations: solution by diagonalization, solution using exponential matrix.

Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Written test. Computer sessions.

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.

Code: 0109. Name: Applied Mathematics.
Credits: 5. Grading scale: TH.
Code: 0209. Name: Computer Work.
Credits: 0. Grading scale: UG.


Admission requirements:

Assumed prior knowledge: Basic university courses in calculus and linear algebra.
The number of participants is limited to: No
The course overlaps following course/s: FMA030, FMA037, FMA062, FMA450, FMAF05

Reading list

Contact and other information

Course coordinator: Studierektor Anders Holst,
Teacher: Victor Ufnarovski,
Course administrator: Studerandeexpeditionen,
Course homepage: