LAaG DSBA 2019/2020
Содержание
Teachers and assistants
| Group | 191 (M+P+) | 192 | 193 |
|---|---|---|---|
| Lecturer | Mazhuga Andrey | ||
| Teacher | Mazhuga Andrey | Nikita Medved | |
| Consultations | Fr, 15:10 -- 16:30, room S808 One must notify me beforehand |
TBD | |
| Assistant | Рамазян Тигран taramazyan@edu.hse.ru |
Анищенко Илья iianischenko@edu.hse.ru |
Таранцова Полина pdtarantsova@edu.hse.ru |
| Course Assistant |
Фоменко Мария somethingneverending@gmail.com | ||
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 = 8/28*O1 + 8/28*W1 + 7/28*Q1 + 5/28*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 0.6, the grade is rounded upwards; if the decimal part of x is from the interval [0.2;0.6] and the student's seminar attendance during the first semester is not below 60%, 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 = 8/28*O2 + 8/28*W2 + 7/28*Q2 + 5/28*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.
Exams
Exam 1
Date: 26.12.2019
Room: R401
Time: from 16:40 to 19:30 (the duration of the exam is 90 min.)
A list of example problems is here. The problems from the list indicate the possible topics and estimated difficulty of the problems on the exam. The exam itself is going to contain not all those types of problems, but instead just several (selected from different themes). This list of problems may be slightly updated, but we do not expect to need this.
In-Class Tests
The Second In-Class Written Test
Date: 04.04.2020
Room: ??
Time: from ?? to ?? (the duration of the test is 90 min.)
The First In-Class Written Test
Date: 22.10.2019
Room: R401
Time: from 13:30 to 16:30 (the duration of the test is 90 min.)
A list of example problems is here. The problems from the list indicate the possible topics and estimated difficulty of the problems on the test. The test itself is going to contain not all those types of problems, but instead just several (selected from different themes). This list of problems may be slightly updated, but we do not expect to need this.
Quizzes
- Zero Variant this variant should help you to understand what you need to prepare for.
Homework submission forms
| Group | 191 (M+P+) | 192 | 193 |
|---|---|---|---|
| URL | https://forms.gle/k6YjiLfLMW6szD2o8 | Google.classroom invite: y3oz6mv | https://forms.gle/PrU82yZjTvTS4bUf7 |
Presentations, video recordings etc.
- Technical notes on finding intersection
- Presentation for seminar on 21.03 for groups 192 and 193 (topic: Cayley--Hamilton thm)
- Discussion of HW N5 on 02.04 for groups 192 and 193
- Notes for seminar on 17.04 for groups 192 and 193 (topic: linear functionals)
- Notes for seminar on 24.04 for groups 192 and 193 (topic: Lagrange method)
- Notes for seminar on 08.05 for groups 192 and 193 (topic: Lagrange method with parameter and Jacobi method)
- Notes for seminar on 15.05 for groups 192 and 193 (topic: positive definiteness and Sylvester's criterion)
- Notes for seminar on 22.05 for groups 192 and 193 (topic: basic info on scalar products)
- Notes for seminar on 25/26.05 for groups 192 and 193 (topic: orthogonal complement)
- Notes for seminar on 29.05 for groups 192 and 193 (topic: orth. complement and projection)
- Notes for seminar on 01/02.06 for groups 192 and 193 (topic: distances and volumes)
- Whiteboard of seminar on 05.06 for group 192 (topic: planes in R3)
- Whiteboard of seminar on 05.06 for group 193 (topic: planes in R3)
Problem sheets
Module 4
The obligatory homework for group 191:
- HW 28 (release: 17.05.2020; deadline: 22.05.2020)
- HW 27 (release: 10.05.2020; deadline: 15.05.2020)
- HW 26 (release: 26.04.2020; deadline: 01.05.2020)
- HW 25 (release: 19.04.2020; deadline: 15.04.2020)
- HW 24 (release: 11.04.2020; deadline: 17.04.2020)
The obligatory homework for groups 192 and 193:
- HW N9 (in progress) (release: 26.05.2020+later; deadline: 05.05.2020, impossible to extend no matter what!)
- HW N8 (release: 21.05.2020; deadline: 28.05.2020, extended to evening of 31.05.2020)
- HW N7 (15 pts) (release: 19.04.2020+08.05.2020; deadline: 14.05.2020)
- HW N6 (release: 19.04.2020; deadline: 25.04.2020)
Module 3
The obligatory homework for group 191:
- HW 23 (release: 22.03.2020; deadline: 27.03.2020)
- HW 22 (release: 08.03.2020; deadline: 13.03.2020)
- HW 21 (release: 01.03.2020; deadline: 06.03.2020)
- HW 20 (release: 23.02.2020; deadline: 28.02.2020)
- HW 19 (release: 15.02.2020; deadline: 21.02.2020)
- HW 18 (release: 08.02.2020; deadline: 14.02.2020)
- HW 17 (release: 01.02.2020; deadline: 07.02.2020)
- HW 16 (release: 25.01.2020; deadline: 31.01.2020)
- HW 15 (release: 11.01.2020; deadline: 17.01.2020)
The obligatory homework for groups 192 and 193:
- HW N5 (note: extra large HW, weighs 20 points) (release: 21.03.2020; deadline: 31.03.2020, extended to 01.04.2020)
- HW N4 (release: 21.02.2020; deadline: 28.02.2020)
- HW N3 (release: 09.02.2020; deadline: 19.02.2020)
- HW N2 (release: 31.01.2020; deadline: 14.02.2020)
- HW N1 (release: 31.01.2020; deadline: 07.02.2020)
Module 2
The obligatory homework for group 191:
- HW 13 (release: 15.12.2019; deadline: 20.12.2019)
- HW 12 (release: 01.12.2019; deadline: 06.12.2019)
- HW 11 (release: 24.11.2019; deadline: 29.11.2019)
- HW 10 (release: 17.11.2019; deadline: 22.11.2019)
- HW 9 (release: 09.11.2019; deadline: 15.11.2019)
- HW 8 (release: 02.11.2019; deadline: 08.11.2019)
The obligatory homework for groups 192 and 193:
- HW 13 was skipped because of the oral test.
- HW 12 (release: 02.12.2019; deadline: 09.12.2019)
- HW 11 (release: 24.11.2019; deadline: 02.12.2019)
- HW 10 (release: 17.11.2019; deadline: 22.11.2019)
- HW 9 (release: 10.11.2019; deadline: 15.11.2019)
- HW 8 (release: 03.11.2019; deadline: 08.11.2019)
Module 1
The obligatory homework for group 191:
- HW 7 (release: 19.11.2019; deadline: 01.11.2019)
- HW 6 (release: 11.11.2019; deadline: 18.10.2019)
- HW 5 (release: 04.11.2019; deadline: 11.10.2019)
- HW 4 (release: 27.09.2019; deadline: 04.10.2019)
- HW 3 (release: 20.09.2019; deadline: 27.09.2019)
- HW 2 (release: 13.09.2019; deadline: 20.09.2019)
- HW 1 (release: 06.09.2019; deadline: 13.09.2019)
The obligatory homework for groups 192 and 193:
- HW 7 was skipped.
- HW 6 (release: 13.11.2019; deadline: 18.10.2019)
- HW 5 (release: 04.11.2019; deadline: 11.10.2019)
- HW 4 (release: 29.09.2019; deadline: 04.10.2019)
- HW 3 (release: 20.09.2019; deadline: 27.09.2019)
- HW 2 (release: 13.09.2019; deadline: 20.09.2019)
- HW 1 (release: 06.09.2019; deadline: 13.09.2019)
Results
In-Class Written and Oral Tests
| 191 | 192 | 193 |
|---|
Quizzes and HWs:
| 191 | 192 | 193 |
|---|
