Course syllabus adopted 2024-02-02 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 50119
- 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
Johan Berglind- Instructor, Algebra and Geometry, 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 software 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
The laboratory moment is examined with compulsory computer laboratories during the course and gives the grade G or U. The exam moment is examined with a written exam at the end of the course and has the grading scale U,3,4,5. For a passing grade on the course, a passing grade is required on both moments and the final grade will then be the same as the grade on the exam moment.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.