Emnet er tilknyttet følgende studieprogram

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.

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

Undervisnings- og læringsformer

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

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.

Eksamen

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

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 Felles Studentsystem (FS) 1. juli 2024 02:24:17