Innholdsfortegnelse

Emnet er tilknyttet følgende studieprogram

Læringsutbytte

On successful completion of the course, the student should be able to
  • formulate, and in some cases derive, mathematical models in Mechatronics, based on the physical laws of mechanics, heat and electricity learn
  • solve the mathematical models in terms of ordinary or partial differential equations using analytical and numerical methods
  • apply theory and computer tools for analyzing stability of nonlinear systems

Innhold

Introducing the use of MAPLE software; Differential equations (directions fields, first order, second order and higher order ordinary differential equations); Laplace transform and connection to frequency response and ordinary differential equations; Linear systems (state-space representation, transfer functions, stability analysis, matrix operations, singular values, eigenvalues and eigenvectors); Modelling of linear and non-linear Mechatronics systems; Nonlinear systems (conservative systems, stability concept, stability analysis and Lyapunov theory); Partial differential equation (the heat equation and the wave equation). Some simple partial differential models solved by separation of independent variables.

Undervisnings- og læringsformer

Lectures, tutorials, course project. Estimated work load for the average student is approximately 200 hours.

Eksamen

Portfolio (30%) and written exam, 4 hours (70%). Graded assessment.

Studentevaluering

Course evaluation is carried out as a midterm evaluation in accordance with standard procedure in the quality assurance system, chapter 2.1.1., unless other information is given in the beginning of the semester.

Reduksjon i studiepoeng

Innholdet i dette emnet dekkes helt eller delvis av annet emne. Tas ett av disse emnene i tillegg, reduseres studiepoengene som følger:

Emne Studiepoengreduksjon
MA-417 – Matematikk for mekatronikk. 7.5
Sist hentet fra FS (Felles studentsystem) 15. okt. 2026 11:46:52