TLÜ ÕIS

Algebra II

Course code

MLM6205.DT

old course code

MLM6205

Course title in Estonian

Algebra II

Course title in English

Algebra II

ECTS credits

4.0

Assessment form

Examination

lecturer of 2024/2025 Autumn semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

lecturer of 2024/2025 Spring semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

Course aims

To understand better the basic algebraic structures. To get acquainted with the terms connected with linear spaces and linear transformations of linear spaces.

Brief description of the course

The main topics of the course are: Basic algebraic structures. Subspace and the basis of a linear space. Linear transformations and isomorphisms of linear spaces. Similar matrices. Charateristic polynomial of a matrix. Eigenvectors, eigenvalues and canonical bases of a linear transformation. Jordan matrix. Matrix of a linear transformation and its Jordan form. Euclidean space. Orthogonal and symmetric matrices. Orthogonal and symmetric representations. Linear, bilinear and quadratic functionals. Forms connected with them. Canonical form of a quadratic form.

Learning outcomes in the course

Upon completing the course the student:
- is familiar with the basic notions connected with linear spaces and their linear transformations;
- is also capable to solve exercises connected with linear spaces.

Teacher

prof Mart Abel

Prerequisite course 1

Algebra I (MLM6203.DT)

The course is a prerequisite

Multidimensional Geometry (MLM6239.DT)
Multidimensional Geometry (MLM6314.DT)

Study programmes containing that course