Syllabus for |
|
TMA672 - Linear algebra and numerical analysis
|
| Linjär algebra och numerisk analys |
| |
| Syllabus adopted 2019-06-13 by Head of Programme (or corresponding) |
| Owner: TKTFY |
|
|
7,5 Credits
|
| Grading: TH - Five, Four, Three, Fail |
| Education cycle: First-cycle |
|
Major subject: Mathematics, Engineering Physics
|
|
Department: 11 - MATHEMATICAL SCIENCES
|
Teaching language: Swedish
Application code: 57150
Open for exchange students: No
Maximum participants: 180
Only students with the course round in the programme plan
| Module |
|
Credit distribution |
|
Examination dates |
|
Sp1 |
Sp2 |
Sp3 |
Sp4 |
Summer course |
No Sp |
| 0119 |
Laboratory |
1,5 c |
Grading: UG |
|
|
|
|
1,5 c
|
|
|
|
|
| 0219 |
Examination |
6,0 c |
Grading: TH |
|
|
|
|
6,0 c
|
|
|
|
01 Jun 2020 pm J, |
12 Oct 2019 am SB_MU
|
27 Aug 2020 am J |
In programs
TKAUT AUTOMATION AND MECHATRONICS ENGINEERING, Year 3 (elective)
TKTFY ENGINEERING PHYSICS, Year 1 (compulsory)
TKTEM ENGINEERING MATHEMATICS, Year 1 (compulsory)
Examiner:
Thomas Bäckdahl
Go to Course Homepage
Eligibility:
In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.
Course specific prerequisites
A first course in Linear algebra and geometry
Aim
To present an introduction to linear spaces concepts such as linear dependence/independence, basis, dimension, orthogonality and spectral theory.
To give the basics in numerical analysis and computational mathematics.
Learning outcomes (after completion of the course the student should be able to)
- Use linear algebra concepts for solving problems in engineering and science.
- Use mathematical models for numerical solution of real world problems.
- Find and use appropriate mathematical software for the current application.
- Critically analyze and give advice regarding different models, algorithms, and software with respect to efficiency and reliability.
Content
Basics in Linear Algebra; Vector Spaces, Basis, Dimension, Linear Dependence/Independence, Inner Product, Orthogonality.
Linear mappings.
Eigenvalues and eigenvectors, Spectral theory,
Quadratic forms, Applications in Analysis; Systems of Ordinary Differential Equations.
Introduction to Computational Mathematics and Scientific Computing, Mathematical Software.
Numerical Techniques and Numerical Methods.
Numerical Solution of Linear Systems, Least Squares Problems and Eigen Problems.
QR-factorization and SVD.
Numerical Methods for Solving Equations, Interpolation and Splines, Numerical Integration and Differentiation.
Numerical Solution of Ordinary Differential Equations, Explicit and Implicit Methods, Stability and Order of Approximation.
Organisation
Lectures, lessons, and computer exercises.
Literature
- Kjell Holmåker och Ivar Gustafsson, Linjär Algebra: fortsättningskurs, 1st ed., Liber
- Ivar Gustafsson och Kjell Holmåker, Numerisk Analys, 1st ed., Liber
Examination including compulsory elements
Written examination with problems of theoretical and applied nature.
Computer exercises.
Homework assignments giving credit points for the examiantion may exist.