Transformation Groups in Geometry
Course code
MLM6215.DT
old course code
MLM6215
Course title in Estonian
Teisenduste rühmad geomeetrias
Course title in English
Transformation Groups in Geometry
ECTS credits
5.0
Assessment form
Examination
lecturer of 2023/2024 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
lecturer of 2024/2025 Autumn semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
Course aims
To get acquainted with the basic terms in the Theory of Groups and Geometry, which are necessary part of the higher education in mathematics.
Brief description of the course
Elements of Theory of Groups: groups, symmetric group, transformations, group of transformations, normal subgroup, quotient group, homomorphism theorem for group. Symmetry groups of regular polyhedrons. Affine maps, isometries, similarity transformations of plane. Klein Erlanger Programme. Elementary geometry, Euclidean geometry, affine geometry.
Learning outcomes in the course
Upon completing the course the student:
- knows mathematical facts;
- is able to use methods in volume of a subject.
- knows mathematical facts;
- is able to use methods in volume of a subject.
Teacher
dotsent Tatjana Tamberg
Study programmes containing that course