Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).
Overview
- Swedish nameLinjär algebra
- CodeMVE480
- Credits6 Credits
- OwnerTKSAM
- 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 58124
- 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 |
|---|---|---|---|---|---|---|---|
| 0115 Examination 6 c Grading: TH | 6 c |
|
In programmes
- TISAM - CIVIL AND ENVIRONMENTAL ENGINEERING, Year 1 (compulsory)
- TKATK - ARCHITECTURE AND ENGINEERING, Year 1 (compulsory)
- TKSAM - CIVIL ENGINEERING, Year 1 (compulsory)
Examiner
Jonny Lindström- Programansvarig, Physics, Chemistry and Biological Engineering along with Mathematics and Engineering Preparatory Year
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
Introductory course in calculus and Computational mathematicsAim
The aim of the course is to give, together with other mathematics courses, a general mathematical education which is as useful as possible for further studies and technical professional work. The course shall, in a logical and holistic manner, provide knowledge of linear algebra and differential equations which is necessary for further studies in Civil and Environmental Engineering.Learning outcomes (after completion of the course the student should be able to)
- add and subtract vectors in space, both geometrically and analytically using Cartesian coordinates. - define scalar and vector products geometrically and use these concepts to solve geometrical problems such as determining the equation for a line or plane in space and computing the area of a triangle or the volume of a tetrahedron using Cartesian coordinates. - determine the solution set of a system of linear equations by hand using row operations, including the cases where the solution is unique, the solution set is empty or it involves free parameters. - perform the standard operations on matrices, including determination of a matrix inverse by hand when this is computationally feasible - compute the determinant of a square matrix using the usual methods of cofactor expansion and row reduction. - rewrite a system of equations in matrix form and explain the connections between inverse matrix, determinant and the solution set for a square system - linear transforms - use MATLAB to solve systems of linear equations numerically - implement Euler's method as a MATLAB function - rewrite a higher order differential equation as a system of first order equations and solve the latter numericallyContent
- Geometrical vectors and applications.- Systems of linear equations.
- Matrix algebra, determinants.
- Eigenvalues.
- Orthogonality and Least squares.
- Systems of differential equations.
- MATLAB applications.
- Systems of differential equations.
- MATLAB applications.
Organisation
The course consists of the following learning activities: Lectures, Tutorials and Computer Labs.Literature
Communicated at the beginning of the course.Examination including compulsory elements
In order to pass the course one must:- Pass the written examination
- Pass the computer labs
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.