Algebra II
Course code
MLM6233.DT
old course code
MLM6233
Course title in Estonian
Algebra II
Course title in English
Algebra II
ECTS credits
5.0
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. Carateristic polynomial of a matrix. Eigenvectors and eigenvalues and a canonical bases of a linear transformation. Jordan matrix. Matrix of a lineaar transformation and its Jordan form. Euclidean space. Ortogonal and symmetric matrices. Ortogonal 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:
After passing this course the student is familiar with the basic notions connected with linear spaces and their linear transformations. Student also is capable to solve exercises connected with linear spaces.
After passing this course the student is familiar with the basic notions connected with linear spaces and their linear transformations. Student also is capable to solve exercises connected with linear spaces.
Teacher
professor Mart Abel
Prerequisite course 1