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Graduate courses

Departments' graduate courses for PhD-students.


Course syllabus for

Academic year
LMA224 - Mathematical supplementary course
Matematisk överbryggningskurs
Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding)
Owner: TIMAL
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Main field of study: Mathematics

Teaching language: Swedish
Application code: 65114
Open for exchange students: No
Block schedule: D
Maximum participants: 98
Status, available places (updated regularly): Yes

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0107 Examination 7,5 c Grading: TH   7,5 c    

In programs

TIMAL MECHANICAL ENGINEERING - Machine Design, Year 3 (elective)
TIMAL MECHANICAL ENGINEERING - Production Engineering, Year 3 (elective)
TIELL ELECTRICAL ENGINEERING - Common branch of study, Year 3 (elective)


Joakim Becker

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General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

The courses LMA401 Calculus and MVE580 Linear algebra and differential equations, or equivalent knowledge.


The aim of the course is, together with the other mathematical courses in the programme for mechanical engineering, to give general knowledge in mathematics that is as useful as possible in further studies or technical profession. In particular the course aims to prepare for continuation at Chalmers programme in mechanical engineering at master level.

Learning outcomes (after completion of the course the student should be able to)

  • describe the significance and meaning of the fundamental concepts of calculus (in one and several variables), linear algebra and the corresponding numerical analysis.
  • describe the relations between the different concepts.
  • use the concepts to solve mathematical problems.
  • apply improved skills in Matlab programming to solve computational problem.


Vector spaces, subspaces, linear independence, basis, change of basis. Linear transformations. The least squares method. Eigenvalues, eigenvectors and diagonalization. Numerical solution of non-linear systems of equations. Extremal values, optimization on compact domains, optimization with constraints. Numerical optimization: Newton's method and the method of gradients. Double and triple integrals, numerical computation and applications. Line integral. Green's formula. Numerical solution of ordinary differential equations. Introduction to partial differential equations: Laplace and Poisson equations, numerical solutions. Applications in Matlab.


Lectures and computer classes.


Literature will be announced on the course web page before start of the course.

Examination including compulsory elements

The examination consists of a written exam at the end of the course and compulsory assignments.

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.

Page manager Published: Thu 04 Feb 2021.