LAaG DSBA 2023/2024 — 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'''] (06.09.2023) 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. |
== Homework == | == Homework == |
Версия 17:42, 5 сентября 2023
Содержание
Teachers and Assistants
Group | 211 (M+P+) | 212 | 213 | 214 |
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Lecturer | Andrey Mazhuga | |||
Teacher | Andrey Mazhuga | Vladislav Balakirev (tg) | Nikita Medved (tg) | |
Consultations | Sat, 17:00 -- 21:00, via Zoom One must notify me beforehand |
write me in telegram | ||
Assistant | Белоновский Пётр pibelonovskiy@edu.hse.ru |
Астанина Ксения kkastanina@edu.hse.ru |
Боженов Олег @obozhenov |
Науменко Дарья @yalmess |
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 (06.09.2023) 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.
Homework
The obligatory homework for group 221:
Module 4
- HW_30 (release: 16.05.2023; deadline: 21.05.2023) (seminar notes) (seminar notes)
- HW_29 (release: 24.04.2023; deadline: 30.04.2023) (seminar notes) (seminar notes)
- HW_28 (release: 17.04.2023; deadline: 23.04.2023) (seminar notes) (seminar notes)
- HW_27 (release: 10.04.2023; deadline: 16.04.2023) (seminar notes) (seminar notes)
- HW_26 (release: 03.04.2023; deadline: 09.04.2023) (seminar notes) (seminar notes)
Module 3
- HW_25 (release: 20.03.2023; deadline: 09.04.2023) (seminar notes) (seminar notes)
- HW_24 (release: 13.03.2023; deadline: 19.03.2023) (seminar notes) (seminar notes)
- HW_23 (release: 07.03.2023; deadline: 12.03.2023) (seminar notes) (seminar notes)
- HW_22 (release: 27.02.2023; deadline: 05.03.2023) (seminar notes) (seminar notes)
- HW_21 (release: 20.02.2023; deadline: 05.03.2023) (seminar notes) (seminar notes)
- HW_20 (release: 18.02.2023; deadline: 26.02.2023) (seminar notes) (seminar notes)
- HW_19 (release: 13.02.2023; deadline: 19.02.2023) (seminar notes) (seminar notes)
- HW_18 (release: 06.02.2023; deadline: 12.02.2023) (seminar notes) (seminar notes)
- HW_17 (release: 30.01.2023; deadline: 05.02.2023) (seminar notes) (seminar notes)
- HW_16 (release: 16.01.2023; deadline: 22.01.2023) (seminar notes) (seminar notes)
- HW_15 (release: 09.01.2023; deadline: 22.01.2023) (seminar notes)
- HW_14 (release: 09.01.2023; deadline: 15.01.2023) (seminar notes) (seminar notes)
Module 2
- HW_12 (release: 02.12.2022; deadline: 11.12.2022) (seminar notes)
- HW_11 (release: 27.11.2022; deadline: 04.12.2022) (seminar notes)
- HW_10 (release: 21.11.2022; deadline: 27.11.2022) (seminar notes)
- HW_9 (release: 14.11.2022; deadline: 20.11.2022) (seminar notes)
- HW_8 (release: 07.11.2022; deadline: 13.11.2022) (seminar notes)
- HW_7 (release: 31.10.2022; deadline: 06.11.2022) (seminar notes)
Module 1
- HW_6 (release: 17.10.2022; deadline: 31.10.2022) (seminar notes)
- HW_5 (release: 15.10.2022; deadline: 23.10.2022) (seminar notes)
- HW_4 (release: 10.10.2022; deadline: 16.10.2022) (seminar notes)
- HW_3 (release: 03.10.2022; deadline: 09.10.2022)
- HW_2 (release: 21.09.2022; deadline: 02.10.2022)
- HW_1 (release: 13.09.2022; deadline: 20.09.2022)
The obligatory homework for group 222:
Module 4
- HW 31 (release: 26.05.2023; deadline: 02.06.2023 9a.m.) (seminar notes)
- HW 30 (release: 19.05.2023; deadline: 26.05.2023 9a.m.) (seminar notes)
- HW 29 (release: 10.05.2023; deadline: 19.05.2023 9a.m.) (seminar notes)
- HW 28 (release: 20.04.2023; deadline: 28.04.2023 9a.m.) (seminar notes)
- HW 27 (release: 15.04.2023; deadline: 22.04.2023 9a.m.) (seminar notes)
- HW 26 (release: 07.04.2023; deadline: 15.04.2023 9a.m.) (seminar notes)
Module 3
- HW 25 (release: 31.03.2023; deadline: 07.04.2023 9a.m.) (seminar notes)
- HW 24 (release: 17.03.2023; deadline: 25.03.2023 9a.m.) (seminar notes)
- HW 23 (release: 09.03.2023; deadline: 17.03.2023 9a.m.) (seminar notes)
- HW 22 (release: 03.03.2023; deadline: 10.03.2023 9a.m.) (seminar notes)
- HW 21 (release: 23.02.2023; deadline: 02.03.2023 9a.m.) (seminar notes)
- HW 20 (release: 16.02.2023; deadline: 24.02.2023 9a.m.) (seminar notes)
- HW 19 (release: 10.02.2023; deadline: 17.02.2023 9a.m.) (seminar notes)
- HW 18 (release: 02.02.2023; deadline: 10.02.2023 9a.m.) (seminar notes)
- HW 17 (release: 26.01.2023; deadline: 03.02.2023 9a.m.) (seminar notes)
- HW 16 (release: 20.01.2023; deadline: 27.01.2023 9a.m.) (seminar notes)
- HW 15 (release: 14.01.2023; deadline: 21.01.2023 9a.m.) (seminar notes)
- As the lectures shifted numeration, I will denote this seminar again as 15, so we have two seminars 15 -- before and after the winter break. That's life.
Module 2
- There will be no HW 15. (seminar notes)
- HW 13+14 (release: 10.12.2022; deadline: 17.12.2022 9a.m.) (seminar notes 13seminar notes 14)
- HW 12 (release: 02.12.2022; deadline: 10.12.2022 9a.m.) (seminar notes)
- HW 11 (release: 25.11.2022; deadline: 03.12.2022 9a.m.) (seminar notes)
- HW 10 (release: 18.11.2022; deadline: 26.11.2022 9a.m.) (seminar notes)
- HW 9 (release: 14.11.2022; deadline: 21.11.2022 9a.m.) (seminar notes)
- HW 8 (release: 09.11.2022; deadline: 14.11.2022 9a.m.) (seminar notes)
- HW 7 (release: 01.11.2022; deadline: 07.11.2022 9a.m.) (seminar notes)
Module 1
- HW 6 (release: 19.10.2022; deadline: 31.10.2022 9a.m.) (seminar notes)
- HW 5 (release: 13.10.2022; deadline: 18.10.2022 9a.m.) (seminar notes)
- HW 4 (release: 03.10.2022; deadline: 10.10.2022 9a.m.) (seminar notes)
- HW 3 (release: 24.09.2022; deadline: 29.09.2022 9a.m.) (seminar notes)
- HW 2 (release: 15.09.2022; deadline: 22.09.2022 9a.m.) (seminar notes)
- HW 1 (release: 08.09.2022; deadline: 15.09.2022 9a.m.) (seminar notes)
The obligatory homework for group 223:
Module 4
- HW 33+34 (release: 10.06.2023; deadline: 17.06.2023 9a.m.) (seminar notes 33, seminar notes 34)
- HW 32 (release: 28.05.2023; deadline: 03.06.2023 9a.m.) (seminar notes, demo, a more detailed text in russian)
- HW 31 (release: 20.05.2023; deadline: 28.05.2023 9a.m.) (seminar notes)
- HW 30 (release: 14.05.2023; deadline: 21.05.2023 9a.m.) (seminar notes)
- No HW 29. Seminar notes. There will be a problem about complements later.
- No HW 28. Seminar notes. Extra HW (0 points).
- HW 27 (release: 16.04.2023; deadline: 24.04.2023 9a.m.) (seminar notes)
- HW 26 (release: 08.04.2023; deadline: 15.04.2023 9a.m.) (seminar notes)
Module 3
- HW 25 (release: 27.03.2023; deadline: 08.04.2023 9a.m.) (seminar notes (to be finished))
- HW 24 (release: 19.03.2023; deadline: 26.03.2023) (no seminar notes today, sorry; slides of the first half)
- HW 23 (release: 11.03.2023; deadline: 19.03.2023) (seminar notes, slides)
- HW 22 (release: 05.03.2023; deadline: 12.03.2023) (seminar notes)
- HW 21 (release: 26.02.2022; deadline: 05.03.2022 9a.m.) (seminar notes)
- HW 20 (release: 19.02.2022; deadline: 26.02.2022 9a.m.) (seminar notes (fixed))
- HW 18+19 (release: 12.02.2022; deadline: 20.02.2022 9a.m.) (seminar notes 18, seminar notes 19)
- HW 17 (release: 30.01.2022; deadline: 05.02.2022 9a.m.) (seminar notes)
- HW 16 (release: 21.01.2022; deadline: 28.01.2022 9a.m.) (seminar notes)
- HW 15 (release: 14.01.2022; deadline: 21.01.2022 9a.m.) (seminar notes)
- As the lectures shifted numeration, I will denote this seminar again as 15, so we have two seminars 15 -- before and after the winter break. That's life.
Module 2
- There will be no HW 15. (seminar notes)
- HW 13+14 (release: 10.12.2022; deadline: 17.12.2022 9a.m.) (seminar notes 13seminar notes 14)
- HW 12 (release: 02.12.2022; deadline: 10.12.2022 9a.m.) (seminar notes)
- HW 11 (release: 25.11.2022; deadline: 03.12.2022 9a.m.) (seminar notes)
- HW 10 (release: 18.11.2022; deadline: 26.11.2022 9a.m.) (seminar notes)
- HW 9 (release: 14.11.2022; deadline: 21.11.2022 9a.m.) (seminar notes)
- HW 8 (release: 09.11.2022; deadline: 14.11.2022 9a.m.) (seminar notes)
- HW 7 (release: 01.11.2022; deadline: 07.11.2022 9a.m.) (seminar notes)
Module 1
- HW 6 (release: 19.10.2022; deadline: 31.10.2022 9a.m.) (seminar notes)
- HW 5 (release: 13.10.2022; deadline: 18.10.2022 9a.m.) (seminar notes)
- HW 4 (release: 03.10.2022; deadline: 10.10.2022 9a.m.) (seminar notes)
- HW 3 (release: 24.09.2022; deadline: 29.09.2022 9a.m.) (seminar notes)
- HW 2 (release: 15.09.2022; deadline: 22.09.2022 9a.m.) (seminar notes)
- HW 1 (release: 08.09.2022; deadline: 15.09.2022 9a.m.) (seminar notes)
The obligatory homework for group 224:
Module 4
- HW 33+34 (release: 10.06.2023; deadline: 17.06.2023 9a.m.) (seminar notes 33, seminar notes 34)
- HW 32 (release: 28.05.2023; deadline: 03.06.2023 9a.m.) (seminar notes, demo, a more detailed text in russian)
- HW 31 (release: 20.05.2023; deadline: 28.05.2023 9a.m.) (seminar notes)
- HW 30 (release: 14.05.2023; deadline: 21.05.2023 9a.m.) (seminar notes)
- No HW 29. Seminar notes. There will be a problem about complements later.
- No HW 28. Seminar notes. Extra HW (0 points).
- HW 27 (release: 16.04.2023; deadline: 24.04.2023 9a.m.) (seminar notes)
- HW 26 (release: 08.04.2023; deadline: 15.04.2023 9a.m.) (seminar notes)
Module 3
- HW 25 (release: 27.03.2023; deadline: 08.04.2023 9a.m.) (seminar notes (to be finished))
- HW 24 (release: 19.03.2023; deadline: 26.03.2023) (no seminar notes today, sorry; slides of the first half)
- HW 23 (release: 11.03.2023; deadline: 19.03.2023) (seminar notes, slides)
- HW 22 (release: 05.03.2023; deadline: 12.03.2023) (seminar notes 22)
- HW 21 (release: 25.02.2023; deadline: 09.03.2023) (seminar notes 21)
- HW 19a+20 (release: 25.02.2023; deadline: 05.03.2023) (seminar notes 19a, seminar notes 20)
- HW 19 (release: 18.02.2023; deadline: 26.02.2023) (seminar notes 19)
- HW 18 (release: 12.02.2023; deadline: 19.02.2023) (seminar notes 18, seminar notes 18a)
- HW 16+17 (release: 21+30.01.2023; deadline: 04.02.2023) (seminar notes 16, seminar notes 17)
- HW_13 (release: 11.01.2023; deadline: 18.01.2023) (seminar notes)
Module 2
- HW_12 (release: 10.12.2022; deadline: 19.12.2022) (seminar notes)
- HW_11 (release: 01.12.2022; deadline: 08.12.2022) (seminar notes)
- HW_10 (release: 23.11.2022; deadline: 01.12.2022) (seminar notes)
- HW_9 (release: 16.11.2022; deadline: 25.11.2022) (seminar notes)
- HW_8 (release: 13.11.2022; deadline: 20.11.2022) (seminar notes)
- HW_7 (release: 04.11.2022; deadline: Skyrim's 11th anniversary) (seminar notes)
Module 1
- HW_6 (release: 24.10.2022; deadline: 31.10.2022) (seminar notes)
- HW_5 (release: 16.10.2022; deadline: 23.10.2022) (seminar notes)
- HW_4 (release: 08.10.2022; deadline: 14.10.2022)
- HW_3 (release: 01.10.2022; deadline: 07.10.2022)
- HW_2 (release: 23.09.2022; deadline: 29.09.2022)
- HW_1 (release: 15.09.2022; deadline: 21.09.2022)
Exams
Materials
Folder with some seminar (and lectures?) recordings (managed by the Study Office)
Results
Spring
221 | 222 | 223 | 224 |
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Fall
221 | 222-223 | 224 |
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DSBA 2022/2023 |
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First year |