Course

Engineering Mathematics and Dynamics (OFF585)

Facts

Course code OFF585

Credits (ECTS) 10

Semester tution start Autumn

Language of instruction English

Number of semesters 1

Exam semester Autumn

Time table View course schedule

Literature The syllabus can be found in Leganto

Introduction

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.

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

Written exam

Weight 1/1

Duration 4 Hours

Marks Letter grades

Aid Approved, basic calculator

Withdrawal deadline 18.11.2025

Exam date 02.12.2025

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.

Method of work

Lectures and exercises.

Open for

Admission to Single Courses at Master Level at the Faculty of Science and Technology
Marine and Offshore Technology
Exchange programme at The 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 will be held in all courses or in selected groups of courses. The aim is to collect student feedback for improvements during the semester. In addition, a digital course evaluation must be conducted at least every three years to gather students’ experiences.

Contact

Head of Department:
Mona Wetrhus Minde
Course coordinator:
Lin Li
Course coordinator:
Yihan Xing

Offered by

Faculty of Science and Technology

Department of Mechanical and Structural Engineering and Materials Science

The course description is retrieved from FS (Felles studentsystem). Version 1