Course syllabus adopted 2022-02-09 by Head of Programme (or corresponding).
Overview
- Swedish nameAlgebra
- CodeMVE675
- Credits6 Credits
- OwnerTIELL
- 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 63119
- Maximum participants125
- Open for exchange studentsNo
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0122 Examination, part A 6 c Grading: TH | 6 c |
|
In programmes
- TIDAL - COMPUTER ENGINEERING, Year 1 (compulsory)
- TIELL - ELECTRICAL ENGINEERING, Year 1 (compulsory)
Examiner
Tony Johansson- Part-time fixed-term teacher, Analysis and Probability Theory, 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
-Aim
The aim of the course is to give basic knowledge of complex numbers and linear algebra. The course will also give necessary previous knowledge for mathematical treatment of technical problems in future profession and supply a good base for further studies
Learning outcomes (after completion of the course the student should be able to)
After completion of the course, the student should be able to
- define basic concepts in linear algebra and basic concepts of complex numbers
- formulate, and in certain cases prove, fundamental theoremsin linear algebra
- solve systems of linear equations by matrix methods
- find the rank of a matrix
- add, subtract and multiply matrices
- decide if a matrix is invertible and, if that is the case, find the inverse
- solve matrix equations
- apply the algebra of determinants
- use Cramer s rule
- add and subtract vectors
- apply scalar and vectorial multiplication of vectors
- apply her/his knowledge of vectoralgebra to analytic geometry
- apply the method of least squares
- carry out calculations with complex numbers ● solve algebraic equations
Content
Algebra. Trigonometry. Systems of linear equations. Matrices. Determinants. Vectors. Method of least squares. Complex numbers.
Basic Programming assignment during one or two occasions (Mathematica, Matlab, Maple or similar)
Organisation
The course includes about 25 lectures (50h), 7 tutorials (14h) and 96h of homework.
Literature
determined later
Examination including compulsory elements
The examination is based on written exams, grades TH.
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.