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Syllabus for

 Academic year
TMA841 - Linear algebra
 
Syllabus adopted 2011-02-24 by Head of Programme (or corresponding)
Owner: TKVOV
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: First-cycle
Major subject: Mathematics
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: Swedish
Block schedule: LA

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0104 Examination 7,5 c Grading: TH   7,5 c   12 Mar 2014 am V,  16 Jan 2014 am V,  25 Aug 2014 am V

In programs

TKVOV CIVIL ENGINEERING, Year 1 (compulsory)

Examiner:

Bitr professor  Lyudmila Turowska
Bitr professor  Hjalmar Rosengren


Replaces

TMA840   Linear algebra

Course evaluation:

http://document.chalmers.se/doc/4513b816-d78c-4afe-9ebd-a701872fbc25


  Go to Course Homepage

Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Course specific prerequisites

Introductory course in mathematics

Aim

The purpose of the course is to, together with the other math courses in the program, provide a general knowledge in the mathematics required in further studies as well as in the future professional career.

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

After this course the student should be able to

- account for the basic concepts of linear aglebra.

- understand and describe the connections between these concepts.

- use and combine different concepts in problem solving.

- use the software MATLAB in problem solving.

Content

Matrix algebra, matrix inversion and systems of linear equations.
Determinants, the rank of a matrix and systems of linear equations.
Vector spaces, the Euclidean vector space Rn, subspaces,
linear independence, basis, dimension, coordinates, change of basis.

Linear transformations: Matrix representation. Applications to
rotations, reflections and projections. Transformations from
Rn to Rm . Null space (kernel), column space
(range), the rank (dimension) theorem.

Numerical solution of systems of linear equations: Matrix norms,
conditioning numbers, LU-factorization.
The least squares method.
Eigenvalues, eigenvectors and diagonalization.
The power method, QR-factorization. MATLAB applications.

Organisation

Instruction is given in lectures and classes. More detailed information will be given on the course web page before start of the course.

Literature

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

Examination

More detailed information about the examination will be given on the course web page before start of the course.
Examples of assessments are:
-selected exercises are to be presented to the teacher orally or in writing during the course,
-other documentation of how the student's knowledge develops,
-project work, individually or in group,
-written or oral exam during and/or at the end of the course.


Page manager Published: Thu 03 Nov 2022.