Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).
Overview
- Swedish nameLinjär algebra
- CodeTMV143
- Credits7.5 Credits
- OwnerTKELT
- Education cycleFirst-cycle
- Main field of studyMathematics
- DepartmentMATHEMATICAL SCIENCES
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language Swedish
- Application code 50117
- Open for exchange studentsNo
- Only students with the course round in the programme overview.
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0116 Examination 6 c Grading: TH | 6 c |
| |||||
| 0216 Laboratory 1.5 c Grading: UG | 1.5 c |
In programmes
- TKELT - ELECTRICAL ENGINEERING, Year 1 (compulsory)
- TKMED - BIOMEDICAL ENGINEERING, Year 1 (compulsory)
Examiner
Marija Cvijovic- Full Professor, Applied Mathematics and Statistics, Mathematical Sciences
Eligibility
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
Introductary Course in Mathematics.Aim
The purpose of the course is to, together with the other mathematics 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)
- account for the basic concepts in linear algebra- understand and describe the connections between these concepts
- use and combine different concepts in problem solving
- use the software MATLAB in problem solving.
More detailed learning outcomes are found in course-PM, see the course home page.
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, open/closed/compact sets. Linear transformations: Matrix representation. Applications to rotations, reflections and projections. 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 including compulsory elements
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.
- problems / tasks are solved with computer and presented in writing and / or at the computer
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.