DS827: Linear algebra for Data Science
Study Board of Science
Teaching language: Danish or English depending on the teacher, but English if international students are enrolled
EKA: N340096102
Assessment: Second examiner: External
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Master
STADS ID (UVA): N340096101
ECTS value: 5
Date of Approval: 08-02-2021
Duration: 1 semester
Version: Archive
Entry requirements
Academic preconditions
Course introduction
The aim of the course is to introduce the student to the basic concepts and methods of linear algebra, with emphasis on matrix manipulations. The material covered is important in almost all aspects of mathematics and has widespread applications throughout the sciences.
This course provides the students with the necessary prerequisites for courses DS804 and DS809, that appear later in the degree.
In relation to the competence profile of the degree it is the explicit focus of the course to:
- Give skills to apply thinking and terminology from the subject’s basic disciplines.
- Give skills to present mathematical thinking both in written and oral form.
- Give skills to solve systems of linear equations, calculate determinants, find inverses of matrices, find coordinates of vectors, find matrices of linear transformations.
- Give knowledge and understanding of vector spaces and linear transformations.
Expected learning outcome
The learning objectives of the course are that the student demonstrates the ability to:
- Reproduce definitions and results covered in the course.
- Be able to use these results to analyse concrete examples.
- Formulate and present definitions and calculations in a mathematically rigorous way.
Content
The following main topics are contained in the course:
- Systems of linear equations
- Matrix operations, inverses, determinants
- Vector spaces, basis, coordinates, linear independence
- Linear transformations, eigenvalue problems, diagonalisation
- Inner product and orthogonality
Literature
Examination regulations
Exam element a)
Timing
Autumn
Tests
Obligatorisk opgave
EKA
N340096102
Assessment
Second examiner: External
Grading
7-point grading scale
Identification
Full name and SDU username
Language
Normally, the same as teaching language
Examination aids
To be announced during the course
ECTS value
5
Additional information
Reexam in the same exam period or immediately thereafter.
Indicative number of lessons
Teaching Method
In the faculty of natural sciences, teaching is conducted according to the three-phase model, including intro-phase, training-phase and study-phase.
- Intro-phase (lectures) - 28 hours
- training-phase - 22 hours
Activities during the study phase:
- To discuss selected topics covered in the lectures.
- To work on the assignment problems.