Algebra DSBA 2019/2020 — различия между версиями

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'''Lecture 1''' (06.04.2020). Binary operations. Associativity, neutral element, inverse element, commutativity. Definition of a group. Additive and multiplicative notations. Subgroups and cyclic subgroups. The order of an element of a group.
 
'''Lecture 1''' (06.04.2020). Binary operations. Associativity, neutral element, inverse element, commutativity. Definition of a group. Additive and multiplicative notations. Subgroups and cyclic subgroups. The order of an element of a group.
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'''Lecture 2''' (13.04.2020). Subgroups of the group of integers. Left and right cosets, examples. Normal subgroups. The Lagrange theorem and its 5 corollaries.
  
 
= Problem sheets =
 
= Problem sheets =

Версия 18:50, 13 апреля 2020

Teachers and assistants

Группа 191 192 193
Lecturer Dima Trushin
Teacher Dima Trushin Sergey Gayfullin Galina Kaleeva
Assistant Arina Yunying Timur

Consultations schedule

Teacher/Assistant Monday Tuesday Wednesday Thursday Friday
1
Dima Trushin
2
Sergey Gayfullin
3
Galina Kaleeva 16:30–18:00
4
Arina
5
Yunying
6
Timur

Grading system

The cumulative grade is computed as follows:

C = 0,6 * H + 0,4 * T,

where H is the grade for the home assignments and T is the written test grade.

The final course grade is given by

F = 0,5 * C + 0,5 * E = 0,3 * H + 0,2 T + 0,5 E

where E is the final exam grade.

Only the final grade is rounded in the final formula according to the standard rule.

Lecture abstracts

Lecture 1 (06.04.2020). Binary operations. Associativity, neutral element, inverse element, commutativity. Definition of a group. Additive and multiplicative notations. Subgroups and cyclic subgroups. The order of an element of a group.

Lecture 2 (13.04.2020). Subgroups of the group of integers. Left and right cosets, examples. Normal subgroups. The Lagrange theorem and its 5 corollaries.

Problem sheets

The solutions should be sent to your teaching assistant via email before the beginning of the next seminar.

Seminar 1 (06.04.2020). Problems

Results

Links