Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).
Overview
- Swedish nameLinjär algebra
- CodeMVE520
- Credits4.5 Credits
- OwnerTIKEL
- 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 64121
- Maximum participants40
- 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 |
|---|---|---|---|---|---|---|---|
| 0117 Examination 3 c Grading: TH | 3 c |
| |||||
| 0217 Laboratory 1.5 c Grading: UG | 1.5 c |
In programmes
Examiner
- Jonny Lindström Dödsbo
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
Knowledge corresponding to MVE530 Introductory course in mathematics and MVE525 Calculus.Aim
The course should in a logically coherent manner provide the basic knowledge of linear algebra necessary for further studies. The course will also create conditions for mathematical treatment of technical problems in the profession.Learning outcomes (after completion of the course the student should be able to)
- solve systems of linear equations by elimination method in matrix form (Gauss-Jordan elimination)
- determine if a matrix is invertible and, if so, determining the inverse
- calculate determinants
- use vectors to solve problems in solid geometry
- using the least square method
- make use of Matlab to solve problems in linear algebra
Content
Linear systems of equations: row equivalence for matrices, elimination method in matrix form (Gauss-Jordan elimination), least squares, rank. Matrix algebra: addition, subtraction, multiplication, inverse matrix. Determinants: conditions for invertibility, calculation rules, Cramer's rule. Geometrical vectors: addition, subtraction, scalar and cross product, applications to space geometry. Matlab applications in linear algebra.Organisation
The teaching consists of lectures, exercises and computer exercises.Literature
Communicated before the course starts.Examination including compulsory elements
All but the last learning outcome are examined by a written exam. The last learning outcome is examined by mandatory exercises in Matlab that have the grade of pass or fail. Optional quizzes that can give bonus points for the exam may occur. The final grade is based on the results of the exam.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 about disability study support.