| TATA16 |
Linear Algebra, 6 ECTS credits.
/Linjär algebra/
For:
KeBi
TB
|
| |
Prel. scheduled
hours: 84
Rec. self-study hours: 76
|
| |
Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics
|
| |
Advancement level
(G1, G2, A): G1
|
|
Aim:
To give the basic knowledge about vectors and matrices which is required for future studies in mathematics. After this course students will be able to handle the linear algebra which is used in other courses in the programme. To pass this course students will need to be able to
- work with scalar and vector products of geometric vectors
- define the concept of vector space, and calculate with vectors and coordinates
- carry out calculations with matrices
- define the concept of linear transformations, and find their matrices
- carry out calculations with determinants
- solve systems of linear equations and understand the structure of their solutions
- apply the 'least-squares' method
- apply change of basis for problem solving
- determine eigenvectors and eigenvalues, and interpret them geometrically
- formulate the spectral theorem
- determine canonical basis for quadratic form and apply that to geometric problem solving
- solve systems of linear differential equations
|
|
Prerequisites: (valid for students admitted to programmes within which the course is offered)
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
|
|
Organisation:
Teaching is done through lectures and problem classes.
The course runs over the entire autumn semester.
|
|
Course contents:
Geometric vectors, straight lines and planes. General vector spaces and Euclidean spaces. Scalar and vector products. Matrices. Linear transformations. Determinants. Systems of linear equations. Eigenvalues and eigenvectors. Quadratic forms. Systems of linear differential equations.
|
|
Course literature:
Andersson L. m fl.: Linjär algebra med geometri. Studentliteratur
|
|
Examination: |
|
Written examination
Written examination
|
6 ECTS
0 ECTS
|
| |
|
|
Course language is Swedish.
Department offering the course: MAI.
Director of Studies: Jesper Thorén
Examiner: Vitalji Tjatyrko
Link to the course homepage at the department
Course Syllabus in Swedish
|