Engineering mathematics and dynamics (OFF585)

The course aims to provide the students with knowledge required in order to establish statistical and probabilistic models associated with uncertainties, as well as formulate and solve the equations of motion for static and dynamic systems in both frequency and time domains.  MATLAB will be introduced. The focus is on application within marine, offshore and subsea technology.

Course description for study year 2022-2023


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Semester tution start


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Properties of various statistical models and their physical applications. Statistical models using the principle of statistical inference. Monte Carlo simulation. Transformation of variables. Signal processing in both frequency and time domains (digital filters, energy estimation, de-trending, finding data errors). Direct stiffness method. Equations of motions for dynamic systems. Impact loading. Vibration and resonance. Programming in MATLAB. Finite element method applied to truss, beam and frame structures with emphasis on its application in engineering problems.

Learning outcome

The learning outcome includes the following aspects:
  • To have the insights related to properties of various statistical models and their physical applications, and establish statistical models using the principle of statistical inference.
  • To be familiar with different techniques within probabilistic analysis, including Monte Carlo simulations and transformation of variables.
  • To be able to process signals in both frequency and time domains and carry out data analysis including digital filtering and Fourier analysis.
  • To be able to establish the equations of motions for dynamic systems and solve the motions in both frequency and time domains.
  • To understand the important phenomenon in dynamic responses of simple systems, including impact loadings and resonant motions.
  • To be able to solve simple structural truss, beam and frame problems using the finite element procedure.

Required prerequisite knowledge



Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades

Coursework requirements

Compulsory assignments
80% of exercises (4 out of 5) must be submitted and approved in order to be eligible to take the exam.

Course teacher(s)

Course teacher:

Muk Chen Ong

Course teacher:

Yihan Xing

Course coordinator:

Lin Li

Course teacher:

Charlotte Obhrai

Head of Department:

Mona Wetrhus Minde

Method of work

6 hour lecture per week and 5 mandatory exercises.

Open for

Admission to Single Courses at the Faculty of Science and Technology Marine and Offshore Technology - Master of Science Degree Programme


The syllabus can be found in Leganto