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MM538: Algebra and linear algebra (10 ECTS)

STADS: 13011601

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.

Teacher responsible
Email: szymanski@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Monday 12-14 U20 37-39,41,43,45-51
Common I Monday 12-14 U50A 40
Common I Wednesday 14-16 U20 36
Common I Wednesday 10-12 U20 37-41,45-51
Common I Wednesday 10-12 U50A 43
Common I Thursday 12-14 U20 36
M1 TE Monday 16-18 U157 44
M1 TE Tuesday 10-12 U156 37,41,43-45,50
M1 TE Tuesday 08-10 *Odense Lokalitet aftales 10 37,40,44,47,50 SF MM538 M1
M1 TE Tuesday 10-12 U13 38 SFV MM538 M1
M1 TE Tuesday 10-12 *Odense Lokalitet aftales 10 39 SFV MM538 M1
M1 TE Tuesday 14-16 U133 48
M1 TE Wednesday 14-16 U156 38-39,49,51
M1 TE Wednesday 12-14 U150 41,45 SFV MM538 M1
M1 TE Thursday 12-14 U131 37-40,43,45-51
M1 TE Thursday 12-13 U131 41
M1 TE Thursday 10-12 U156 46 SFV MM538 M1
M1 TE Thursday 14-16 U157 49 SFV MM538 M1
M1 TE Friday 14-16 U148 47
M1 TE Friday 10-12 U24A 50
M2 TE Monday 10-12 *Odense Lokalitet aftales 10 37,40,44,47,50 SF MM538 M2
M2 TE Monday 16-18 U156 39 SFV MM538 M2
M2 TE Monday 12-14 U143 44
M2 TE Monday 10-12 U133 49 SFV MM538 M2
M2 TE Tuesday 08-10 U156 37-41,43,45-51
M2 TE Wednesday 14-16 U144 38
M2 TE Wednesday 14-16 U49 39
M2 TE Wednesday 14-16 U145 40
M2 TE Wednesday 14-16 *Odense Lokalitet aftales 11 41 SFV MM538 M2
M2 TE Wednesday 12-14 U131 45-46 SFV MM538 M2
M2 TE Thursday 14-16 U157 44
M2 TE Thursday 12-14 U46 50 SFV MM538 M2
M2 TE Friday 10-12 U145 37
M2 TE Friday 10-12 U146 38 SFV MM538 M2
M2 TE Friday 10-11 U144 41
M2 TE Friday 10-12 U150 43
M2 TE Friday 12-14 U156 45,47,49-51
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Comment:
Ubegrænset deltagerantal. Samlæses med MM505

Prerequisites:
None

Academic preconditions:
None.

Course introduction
In this course the students learn basic algebraic concepts. These include linearity, which is fundamental in all areas of mathematics and its applications. In addition rings and their basic properties are introduced.

Qualifications
Problem solving, understanding principles of mathematical thinking, argumentation and ability to carry out and understand proofs, ability to handle abstract mathematical concepts, ability to present in written form precise mathematical arguments.

Expected learning outcome
By the end of the course the students are expected to be able to:
  • apply techniques and results from linear algebra  and algebra to solve problems within the syllabus of the course
  • argue for the individual steps in the solutions
  • formulate correct arguments
  • use mathematical terminology
Subject overview
  • Systems of linear equations
  • matrices, determinants
  • vector spaces
  • scalar product and orthogonality
  • linear transformations
  • eigenvectors and eigenvalues
  • diagonalisation
  • Basic number theory
  • polynomials
  • rings and fields
  • homomorphisms and factor rings
  • field extensions
  • algebraic closure
Literature
    Meddeles ved kursets start.


Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Mandatory assignments, evaluated by internal censorship on a pass/fail basis(5 ECTS). (13011602)
  2. Written exam, evaluated by external examiner by the danish 7 mark scale (5 ECTS). (13011612)
Expected working hours
The teaching method is based on three phase model.
Intro phase: 56 hours
Skills training phase: 73 hours, hereof:
 - Tutorials: 45 hours

Educational activities Study phase: 28 hours

Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.