LAaG DSBA 2021/2022 — различия между версиями
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== Lecture Notes == | == Lecture Notes == | ||
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''' Module 1 ''' | ''' Module 1 ''' | ||
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− | * [https://www.dropbox.com/s/xbzr7b3upj63rhy/LAaG_Lecture_1.pdf?dl=0 '''Lecture 1'''] ( | + | * [https://www.dropbox.com/s/xbzr7b3upj63rhy/LAaG_Lecture_1.pdf?dl=0 '''Lecture 1'''] (04.09.2021) Matrices, main definitions; special matrices (square matrices, triangular matrices, identity matrices, zero matrices); matrix scalar multiplication; matrix addition; matrix multiplication; main properties of these operations. |
== Seminar Notes == | == Seminar Notes == |
Версия 12:58, 4 сентября 2021
РЕДАКТИРУЕТСЯ! Ожидайте
Содержание
Teachers and Assistants
Group | 201 (M+P+) | 202 | 203 | 204 |
---|---|---|---|---|
Lecturer | Andrey Mazhuga | |||
Teacher | Andrey Mazhuga | Nikita Medved | Galina Kaleeva | |
Schedule | Wednesday, 13.00, offline
Passcode: algebra | |||
Consultations | Wed, 18:00 -- 21:00, room S808 One must notify me beforehand |
Wednesday, 17:00, write @medvednikita beforehands | Wednesday, 16.20-17.40.
Offline: S 913 Online: Zoom Passcode: algebra In case I'm offline text me via telegram | |
Assistant | Астанина Ксения kkastanina@edu.hse.ru |
Ваня Пешехонов | Демин Александр asdemin_2@edu.hse.ru |
Лишуди Дмитрий dalishudi@edu.hse.ru telegram: @DimaLishudi |
Course Assistant |
Астанина Ксения kkastanina@edu.hse.ru |
Course Description
The course introduces students to the elements of linear algebra and analytic geometry, provides the foundations for understanding some of the main concepts of modern mathematics. There is a strong emphasis in this course on complete proofs of almost all results.
We will approach the subject from both a practical point of view (learning methods and acquiring computational skills relevant for problem solving) and a theoretical point of view (learning a more abstract and theoretical approach that focuses on achieving a deep understanding of the different abstract concepts).
Topics covered include: matrix algebra, systems of linear equations, permutations, determinants, complex numbers, fields, abstract vector spaces, bilinear and quadratic forms, Euclidean spaces, some elements of analytic geometry, linear operators. It took mathematicians at least two hundred years to comprehend these objects. We plan to accomplish this in one year.
Grading system
During the academic year, the student will be formally graded on the following:
- two in-class oral tests (O1 and O2);
- two in-class written tests (W1 and W2);
- several quizzes (Q1 and Q2, where Qi is the average grade of all the quizzes in the i-th semester);
- several homework assignments (H1 and H2, where Hi is the average grade of all the homework assignments in the i-th semester);
- two written exams (E1 and E2).
All grades (namely, O1, O2, W1, W2, Q1, Q2, H1, H2, E1, and E2) are real numbers from 0 to 10.
The cumulative course grade for the first semester, C1, is obtained without rounding by the following formula:
C1 = 5/16*O1 + 4/16*W1 + 4/16*Q1 + 3/16*H1.
The intermediate course grade for the first semester, I1, is obtained by the following formula:
I1 = Round1(3/10*E1 + 7/10*C1),
where the function Round1(x) is defined as follows: if the decimal part of x is less than 0.2, the grade is rounded downwards; if the decimal part of x is greater than 0.7, the grade is rounded upwards; if the decimal part of x is from the interval [0.2;0.7] and the student's seminar attendance during the first semester is not below 66%, the grade is rounded upwards; otherwise the grade is rounded downwards.
The cumulative course grade for the second semester, C2, is obtained without rounding by the following formula:
C2 = 5/16*O2 + 4/16*W2 + 4/16*Q2 + 3/16*H2.
The intermediate course grade for the second semester, I2, is obtained by the following formula:
I2 = Round2(3/10*E2 + 7/10*C2),
where the function Round2(x) is defined as Round1(x) but with "during the first semester" replaced by "during the second semester".
The final grade for the course, F, is obtained by the following formula:
F = Round(1/4*I1 + 3/4*I2),
where the function Round(x) is defined as Round1(x) but with "during the first semester" replaced by "during the academic year".
The final grade for the course is included in a diploma supplement.
Lecture Notes
Module 1
- Lecture 1 (04.09.2021) Matrices, main definitions; special matrices (square matrices, triangular matrices, identity matrices, zero matrices); matrix scalar multiplication; matrix addition; matrix multiplication; main properties of these operations.
Seminar Notes
Module 1
Group 201:
- [ S 1] (09.09.2020)
Group 202:
Video: https://youtube.com/playlist?list=PLuFcUwoUBWubVD662Ab_Kr-E6KwbOA2QB
Boards:
- Seminar 9 (online) (13.11.2020)
- Seminar 10 (online) (20.11.2020)
- Seminar 11 (online) (27.11.2020)
- Seminar 12 (online) (04.12.2020)
- Seminar 13 (online) (11.12.2020)
- Seminar 14 (online) (18.12.2020)
- Seminar 15 (online) (15.01.2021)
- Seminar 16 (online) (22.01.2021)
- Seminar 17 (online) (29.01.2021)
- Seminar 18 (online) (05.02.2021)
- Seminar 19 (online) (12.02.2021)
- Seminar 20 (online) (19.02.2021)
- Seminar 21 (online) (26.02.2021)
- Seminar 22 (online) (05.03.2021)
- Seminar 23 (online) (13.03.2021)
- Seminar 24 (online) (19.03.2021), see also presentation
- Seminar 3? (online) (11.06.2021)
- Seminar 3? (online) (contains several mistakes, better use 203) (18.06.2021)
Group 203:
Video: https://youtube.com/playlist?list=PLuFcUwoUBWubSL6dICDaec5MjfYk4Dx1V
Boards:
- Seminar 9 (online) (13.11.2020)
- Seminar 10 (online) (20.11.2020)
- Seminar 11 (online) (27.11.2020)
- Seminar 12 (online) (04.12.2020)
- Seminar 13 (online) (11.12.2020)
- Seminar 14 (online) (18.12.2020)
- Seminar 15 (online) (15.01.2021)
- Seminar 16 (online) (22.01.2021)
- Seminar 17 (online) (29.01.2021)
- Seminar 18 (online) (05.02.2021)
- Seminar 19 (online) (12.02.2021)
- Seminar 20 (online) (19.02.2021)
- Seminar 21 (online) (26.02.2021)
- Seminar 22 (online) (05.03.2021)
- Seminar 23 (online) (12.03.2021)
- Seminar 24 (online) (19.03.2021), see also presentation
- Seminar 3? (online) (11.06.2021)
- Seminar 3? (online) (18.06.2021)
Group 204:
- [ S 1] (ХХ.09.2020)
Homework
The obligatory homework for group 201:
Module 4
- HW 29 (release: 23.05.2021; deadline: 30.05.2021)
- HW 28 (release: 05.05.2021; deadline: 16.05.2021)
- HW 27 (release: 26.04.2021; deadline: 02.05.2021)
- HW 26 (release: 19.04.2021; deadline: 25.04.2021)
- HW 25 (release: 11.04.2021; deadline: 18.04.2021)
Module 3
- HW 24 (release: 03.04.2021; deadline: 09.04.2021)
- HW 22 (release: 15.03.2021; deadline: 21.03.2021)
- HW 21 (release: 08.03.2021; deadline: 14.03.2021)
- HW 20 (release: 28.02.2021; deadline: 05.03.2021)
- HW 19 (release: 21.02.2021; deadline: 26.02.2021)
- HW 18 (release: 14.02.2021; deadline: 19.02.2021)
- HW 17 (release: 07.02.2021; deadline: 12.02.2021)
- HW 16 (release: 29.01.2021; deadline: 05.02.2021)
- HW 15 (release: 22.01.2021; deadline: 29.01.2021)
- HW 14 (release: 16.01.2021; deadline: 22.01.2021)
Module 2
- HW 11 (release: 02.12.2020; deadline: 09.12.2020)
- HW 10 (release: 29.11.2020; deadline: 04.12.2020)
- HW 9 (release: 22.11.2020; deadline: 27.11.2020)
- HW 8 (release: 13.11.2020; deadline: 18.11.2020)
- HW 7 (release: 06.11.2020; deadline: 11.11.2020)
Module 1
- HW 6 (release: 22.10.2020; deadline: 28.10.2020)
- HW 5 (release: 08.10.2020; deadline: 15.10.2020)
- HW 4 (release: 01.10.2020; deadline: 07.10.2020)
- HW 3 (release: 26.09.2020; deadline: 01.10.2020)
- HW 2 (release: 17.09.2020; deadline: 23.09.2020)
- HW 1 (release: 09.09.2020; deadline: 16.09.2020)
The obligatory homework for groups 202 and 203:
- An invite to Google Classroom for group 203: 73dicup (you can also use this link)
- Google Classroom to submit your work for group 202: link
2 semester
- HW 29 (release: 12.06.2021; deadline: 21.06.2021, 9:00 p.m.)
- HW 28 (release: 15.05.2021; deadline: 21.05.2021, 9:00 a.m.)
- HW 27 (release: 07.05.2021; deadline: 14.05.2021, 9:00 a.m.)
- HW 26 (release: 25.04.2021; deadline: 07.05.2021, 9:00 a.m.)
- HW 25 (release: 19.04.2021; deadline: 27.04.2021, 9:00 a.m.)
- HW 24 (release: 12.04.2021; deadline: 20.04.2021, 9:00 a.m.)
- HW 22 (release: 21.03.2021; deadline: 01.04.2021, 9:00 a.m.)
- HW 21 (release: 07.03.2021; deadline: 14.03.2021, 9:00 a.m.)
- HW 20 (release: 02.03.2021; deadline: 09.03.2021, 9:00 a.m.)
- HW 19 (release: 26.02.2021; deadline: 05.02.2021, 9:00 a.m.)
- HW 18 (release: 14.02.2021; deadline: 22.02.2021, 9:00 a.m.)
- HW 17 (release: 07.02.2021; deadline: 15.02.2021, 9:00 a.m.)
- HW 16 (release: 02.02.2021; deadline: 09.02.2021, 9:00 a.m.)
- HW 15 (previously 11) (release: 22.01.2021; deadline: 29.01.2021, 9:00 a.m.)
- HW 14 (previously 10) (release: 15.01.2021; deadline: 22.01.2021, 9:00 a.m.)
1 semester
- HW 9 (release: 06.12.2020; deadline: 13.12.2020, extended to 23:59 p.m.)
- HW 8 (release: 21.11.2020; deadline: 29.11.2020, 9:00 a.m.)
- HW 7 (release: 08.11.2020; deadline: 15.11.2020, 9:00 a.m.)
- HW 6 (release: 01.11.2020; deadline: 09.11.2020, 9:00 a.m.)
- HW 5 (release: 14.10.2020; deadline: 22.10.2020, 9:00 a.m.)
- HW 4 (release: 07.10.2020; deadline: 14.10.2020, 9:00 a.m.)
- HW 3 (release: 03.10.2020; deadline: 09.10.2020, extended to 23:59 p.m.)
- HW 2 (release: 18.09.2020; deadline: 25.09.2020, 9:00 a.m.)
- HW 1 (release: 11.09.2020; deadline: 18.09.2020, 9:00 a.m.)
The obligatory homework for group 204:
2 semester
Send your works to Google classroom: link (access code: ec6pdyn)
- HW28-29 (release: 14.06.2021; deadline: 21.06.2021, 9:00 a. m.)
- HW26-27 (release: 25.05.2021; deadline: 5.06.2021, 9:00 a. m.)
- HW25 (release: 13.04.2021; deadline: 20.04.2021, 9:00 a. m.)
- HW24 (release: 07.04.2021; deadline: 14.04.2021, 9:00 a. m.)
- HW22 (release: 24.03.2021; deadline: 30.03.2021, 9:00 a. m.)
- HW21 (release: 10.03.2021; deadline: 17.03.2021, 9:00 a. m.)
- HW20 (release: 01.023.2021; deadline: 8.03.2021, 9:00 a. m.)
- HW19 (release: 25.02.2021; deadline: 3.03.2021, 9:00 a. m.)
- HW18 (release: 16.02.2021; deadline: 22.02.2021, 9:00 a. m.)
- HW17 (release: 08.02.2021; deadline: 15.02.2021, 9:00 a.m.)
- HW 16 (release: 03.02.2021; deadline: 09.02.2021, 9:00 a. m.) Edited the last problem and re-uploaded the home assignment -- 05.02.2021.
- HW 15 (previously 13) (release: 26.01.2021; deadline: 02.02.2021, 9:00 a. m.)
- HW 14 (previously 12) (release: 18.01.2021; deadline: 25.01.2021, 9:00 a. m.)
1 semester
Send your works to Google classroom (HW 9+)! Access code: gskby43.
- HW 11 (release: 12.12.2020; deadline: 20.12.2020, 9:00 a. m.)
- HW 10 (release: 7.12.2020; deadline: 13.12.2020, 9:00 a. m.)
- HW 9 (release: 27.11.2020; deadline: 05.12.2020, 9:00 a. m., you can pass with a fine of 20% until 9.00 on December 6)
- HW 8 (release: 20.11.2020; deadline: 28.11.2020, 9:00 a. m.; send here)
- HW 7 (release: 14.11.2020; deadline: 21.11.2020, 9:00 a. m.; send here)
- HW 6 (release: 1.11.2020; deadline: 9.11.2020, 9:00 a. m.; send here)
- HW 5 (release: 8.10.2020; deadline: 15.10.2020, 9:00 a. m.; send here)
- HW 4 (release: 2.10.2020; deadline: 9.10.2020, 9:00 a. m.; send here)
- HW 3 (release: 27.09.2020; deadline: 05.10.2020, 9:00 a. m.; send here)
- HW 2 (release: 17.09.2020; deadline: 23.09.2020, 9:00 a. m.; send here)
- HW 1 (release: 09.09.2020; deadline: 16.09.2020, 9:00 a. m.; send here) Any computational tools are not allowed.
Results
3.10.2020. Quiz results (group 204) are published. You will be able to see your paper and ask questions during Monday Q&A or on Wednesday after the seminar.