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.  


Course description for study year 2025-2026

See course description and exam/assesment information for this semester (2024-2025)
Facts

Course code

OFF585

Version

1

Credits (ECTS)

10

Semester tution start

Autumn

Number of semesters

1

Exam semester

Autumn

Language of instruction

English

Offered by
Time table

View course schedule

Content

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. Direct stiffness method. Equations of motions for dynamic systems. 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.

  • 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.

  • To be able to solve simple structural truss, beam and frame problems using the finite element procedure.

Required prerequisite knowledge

None

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Approved, basic calculator

The written exam is conducted with pen and paper.

Coursework requirements

Compulsory assignments

80% of exercises must be submitted and approved in order to be eligible to take the exam.

Course teacher(s)

Course coordinator:

Yihan Xing

Course coordinator:

Lin Li

Head of Department:

Mona Wetrhus Minde

Method of work

Lectures and exercises.

Open for

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

Admission requirements

Must meet the admission requirements of one of the study programmes the course is open for.

Course assessment

The faculty decides whether early dialogue should be conducted in all or selected groups of courses offered by the faculty. The purpose is to gather feedback from students for making changes and adjustments to the course during the current semester. In addition, a digital evaluation, students’ course evaluation, must be conducted at least once every three years. Its purpose is to collect students` experiences with the course.

Literature

The syllabus can be found in Leganto