Del

Mathematics 2 (2024)

Course manager

Imad Abou-Hayt

Semester schedule

Autumn (13-week period)

ECTS

5

Language of instruction

English

Course type

Elective

Qualifications

Competences corresponding to participation in the disciplines – Mathematics 1 together with Mathematical modelling.

Objectives

Mathematics 2 is directed at familiarizing the students with selected topics from advanced engineering mathematics.

Content

  • Parametrization of planes/surfaces and spaces
  • Integration of scalar functions over surfaces and spaces
  • Integration of vector fields
  • Matrix methods for systems of linear ordinary diffrential equations
  • Introduction to non-linear ordinary diffrential equations.

Learning targets

On completion of the course, the student is expected to be able to:

Knowledge

  • Understand and explain the principles and application of ordinary differential equations 
  • Understand and explain the principles of integration in multiple dimensions and coordinate systems

Skills

  • Parametrization of elementary planes/surfaces and spaces
  • Integrate scalar functions in Cartesian, cylindrical, and spherical coordinates

Competences

  • Analyze stability of dynamic systems
  • Apply matrix methods for ststems of differential equations in engineering problems
  • Apply integration types on realistic engineering problems

Teaching method

Seminars, podcasts, and problem solving

Qualifications for examination participation

  • Approval of all written assignments

 

Examination and aids

Written examination. Duration of the examination: 4 hours.

Permitted aids: Textbook and notes. No access to the internet.

The form of examination at a 2nd attempt may vary from the above.

Marking 

External

Grading

The 7-point grading scale