Dynamic Systems

7,5 credits, course, master's level, R7016E

Application period starts 2026-03-16

How does an epidemic spread, why does a pendulum swing, and is it possible to predict how boiling water moves? All of these are examples of dynamic systems that can be described with equations.

In this course we learn how to formulate these equations for a variety of different types of systems. We learn methods for finding strange behaviors such as oscillations, instability, and chaos. We also get to try constructing computer-based simulators that mimic the systems and gain insights into what can be done with simulation and what limitations there are.

For Programme students

LTU-17501

Application period starts 2026-03-16

Dynamic Systems

Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5, LuleåNormal teachingDay-time 50%Autumn 2026

Period:Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5

Location:Luleå

Form of study:Day-time 50%

Language:English

Tuition fees:Information for non-EU/EEA students

Application code:LTU-17501

Application period starts:2026-03-16

Last day for application:2026-04-15

Entry requirements:Basic knowledge of physics, specifically mechanics, electric circuits and thermodynamics. Knowledge of mathematics, including linear algebra, differential equations, recurrence equations and the Laplace transform. These prerequisite knowledge correspond to F0004T Physics 1, M0031M Linear Algebra and Differential Equations, and one of M0018M Linear analysis, R0001E Basic automatic control, or R0002E Modeling and control. Knowledge in English, equivalent to English 6.

Selection:The selection is based on 30-285 credits

Application information:

Optional course within programmes. Can be applied for within the optional space of a programme.

Selectable course in the following programmes:

Application for Freestanding course (En)

LTU-17501

Application period starts 2026-03-16

Dynamic Systems

Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5, LuleåNormal teachingDay-time 50%Autumn 2026

Period:Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5

Location:Luleå

Form of study:Day-time 50%

Language:English

Tuition fees:Information for non-EU/EEA students

Application code:LTU-17501

Application period starts:2026-03-16

Last day for application:2026-04-15

Selection:The selection is based on 30-285 credits

Application information:

Only a few freestanding places are available. This course is part of a programme.

Application for Exchange students at LTU

LTU-17501

Application period starts 2026-03-16

Dynamic Systems

Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5, LuleåNormal teachingDay-time 50%Autumn 2026

Period:Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5

Location:Luleå

Form of study:Day-time 50%

Language:English

Tuition fees:Information for non-EU/EEA students

Application code:LTU-17501

Application period starts:2026-03-16

Last day for application:2026-04-15

Selection:The selection is based on 30-285 credits

Application information:

Course offered in English to prospective exchange student, nominated for exchange by home university.

Course syllabus

7,5 credits, course, master's level, R7016E

Application period starts 2026-03-16

How does an epidemic spread, why does a pendulum swing, and is it possible to predict how boiling water moves? All of these are examples of dynamic systems that can be described with equations.

Course syllabus

For Programme students

LTU-17501

Application period starts 2026-03-16

Dynamic Systems

Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5, LuleåNormal teachingDay-time 50%Autumn 2026

Period:Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5

Location:Luleå

Form of study:Day-time 50%

Language:English

Tuition fees:Information for non-EU/EEA students

Application code:LTU-17501

Application period starts:2026-03-16

Last day for application:2026-04-15

Selection:The selection is based on 30-285 credits

Application information:

Optional course within programmes. Can be applied for within the optional space of a programme.

Selectable course in the following programmes:

Application for Freestanding course (En)

LTU-17501

Application period starts 2026-03-16

Dynamic Systems

Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5, LuleåNormal teachingDay-time 50%Autumn 2026

Period:Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5

Location:Luleå

Form of study:Day-time 50%

Language:English

Tuition fees:Information for non-EU/EEA students

Application code:LTU-17501

Application period starts:2026-03-16

Last day for application:2026-04-15

Selection:The selection is based on 30-285 credits

Application information:

Only a few freestanding places are available. This course is part of a programme.

Application for Exchange students at LTU

LTU-17501

Application period starts 2026-03-16

Dynamic Systems

Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5, LuleåNormal teachingDay-time 50%Autumn 2026

Period:Period 1 - 1, v. 36 2026 - v. 44 2026, module 4+5

Location:Luleå

Form of study:Day-time 50%

Language:English

Tuition fees:Information for non-EU/EEA students

Application code:LTU-17501

Application period starts:2026-03-16

Last day for application:2026-04-15

Selection:The selection is based on 30-285 credits

Application information:

Course offered in English to prospective exchange student, nominated for exchange by home university.

Kontakt

Andreas Johansson

Updated: 21 November 2023

Dynamic Systems

For Programme students

Dynamic Systems

Application for Freestanding course (En)

Dynamic Systems

Application for Exchange students at LTU

Dynamic Systems

For Programme students

Dynamic Systems

Application for Freestanding course (En)

Dynamic Systems

Application for Exchange students at LTU

Dynamic Systems

Kontakt

Andreas Johansson

Contact

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