Linear algebra, differential equations, strength of materials, kinematics of particles and bodies, dynamics of particles and bodies, numerical methods of linear algebra and numerical solution of ODEs, MATLAB or Python programming.

Course credit requirements: Active participation in the tutorials and obtaining at least 20 out of 40 possible points, which can be earned by completing a semester project and presenting it. The points from the tutorials count towards the final course grade.

Examination: The examination consists of a compulsory written part and an optional oral part. The written part is a comprehensive test worth a maximum of 50 points; the minimum required to pass is 25 points. If the minimum is not reached, the examination is graded F.

The oral part of the examination is intended for students seeking grade A. It is open to every student who has obtained at least 80 points as the sum of the points from the tutorials and the written part of the examination. The oral part covers the core areas of the course and is worth a maximum of 10 points, which are added to the total already obtained. Participation in the oral part is voluntary; neither non-participation nor a low score can  lower the assessment already achieved.

Final assessment: The final assessment is determined by the sum of the points from the tutorials and the examination according to the ECTS grading scale. A minimum of 50 points is required to pass the course. Grade A can be obtained only after completing the oral part of the examination and reaching a total of at least 90 points. A student who does not take the oral part is graded according to the total obtained, but no higher than grade B.

Attendance at the tutorials is compulsory and monitored by the instructor. Unexcused absence is grounds for not being awarded the course credit. A single absence may be compensated for by completing substitute assignments as instructed by the instructor. The specific form is determined by the tutorial instructor.

The aim of the course is to build on and deepen the knowledge of vibration acquired in the course Dynamics. Students will be introduced to linear vibration of lumped-parameter systems with one, two and n degrees of freedom, as well as to the vibration of one- and two-dimensional continua.

Graduates will have detailed knowledge of the vibration of single- and multi-degree-of-freedom systems. They will be able to determine the natural frequencies and mode shapes of these systems as well as their response to various types of excitation, and to solve engineering problems that can be modelled using lumped-parameter systems. Graduates will be familiar with the vibration of basic continuum models and will be able to model these systems using the finite element method. They will be able to apply basic numerical methods to solve linear vibration problems and to compare numerical results with analytical solutions.

• Programme N-IMB-P Master's

  specialization IME , 1 year of study, winter semester, compulsory, profile core courses
  specialization BIO , 1 year of study, winter semester, compulsory, profile core courses
  

• Programme N-MET-P Master's 1 year of study, winter semester, compulsory, profile core courses