Del

Mathematics 2 (2024)

Course manager

Imad Abou-Hayt

Semester schedule

Autumn (13-week period)

ECTS

5

Language of instruction

English

Course type

Elective 5/7.semester

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 differential equations.

·         Introduction to non-linear ordinary differential 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 systems 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