Search programme

​Use the search function to search amongst programmes at Chalmers. The study programme and the study programme syllabus relating to your studies are generally from the academic year you began your studies.

Syllabus for

Academic year
TMA265 - Numerical linear algebra
Numerisk linjär algebra
 
Syllabus adopted 2019-02-22 by Head of Programme (or corresponding)
Owner: MPENM
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: Second-cycle
Major subject: Mathematics
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: English
Application code: 20133
Open for exchange students: Yes

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0101 Examination 7,5c Grading: TH   7,5c   27 Oct 2020 pm J

In programs

MPENM ENGINEERING MATHEMATICS AND COMPUTATIONAL SCIENCE, MSC PROGR, Year 1 (compulsory elective)
MPENM ENGINEERING MATHEMATICS AND COMPUTATIONAL SCIENCE, MSC PROGR, Year 2 (elective)
MPDSC DATA SCIENCE AND AI, MSC PROGR, Year 2 (elective)
MPDSC DATA SCIENCE AND AI, MSC PROGR, Year 1 (elective)

Examiner:

Larisa Beilina

  Go to Course Homepage


Eligibility

General entry requirements for Master's level (second 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

English 6 (or by other approved means with the equivalent proficiency level)
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

Basic knowledge of numerical analysis and linear algebra.

Aim

To give the students knowledge and skill in using algorithms and numerical software for linear algebra problems.

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

- use numerical linear algebra as building bricks in computation
- make a linear algebra model of a problem from the physical reallity
- derive and use the numerical tecniques needed for a professional solution of a given linear algebra problem
- use computer algorithms, programs and software packages to compute solutions to current problems
- critically analyze anf give advice regarding different choices of models, algorithms, and software with respect to efficience and reliability
- critically analyze the accuracy of the obtained numerical result and to present it in a visualized way.

Content

Numerical linear algebra problems arise in many different fields of science like solid mechanics, electrical networks, signal analysis and optimisation. In this course we study basic linear algebra concepts like matrix algebra, vector- and matrix norms, error analysis and condition numbers. For solving linear systems of equations we consider Gaussian elimination with different pivoting strategies. For least-squares problems we study QR-factorisation and singular value decomposition. The metods for eigenvalue problems are based on transformation techniques for symmetric and nonsymmetric matrices.
We discuss the numerical algorithms with respect to computing time and memory requirements. By homework assignments and project work the students get experiences in implementation and evaluation of numerical algorithms for linear algebra problems.

Organisation

Lectures, supervising of hand-ins and computer exercises

Literature

Numerical Linear Algebra: Theory and Applications, Larisa Beilina, Evgenii Karchevskii, and Mikhail Karchevskii, Springer 2016.

Examination including compulsory elements

Experimental and homework assignments(hand-ins) and written examination.


Published: Mon 28 Nov 2016.