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== Lecturers and Seminarists ==

{| class="wikitable" style="text-align:center"
|-
|| Lecturer || [https://www.hse.ru/org/persons/77967 Vladimir Ulyanov ] || [] || T924
|-
|| Seminarist || [https://www.hse.ru/org/persons/219484540 Samsonov Sergey] || [svsamsonov@hse.ru] || T926
|-
|| TA || [https://www.hse.ru/org/persons/208508862 Ilya Levin] || [...] || T926
|-
|}

== About the course ==
This page contains materials for the Mathematical Foundations of Probability theory course in 2023/2024, mandatory for 1st year Master students of the MML program (HSE and Skoltech).

== Grading ==
The final grade consists of 2 components (each is non-negative real number from 0 to 10, without any intermediate rounding) :
* OHW for the hometasks
* OExam for the final exam
The formula for the final grade is
* OFinal = 0.5*OHW + 0.5*OExam
with the usual (arithmetical) rounding rule.

[https://docs.google.com/spreadsheets/d/1RNUbspQPnOwgv1tQf9ms-e8ftRJIvth3Kaobgiimt2I/edit?usp=sharing '''Table with grades''']

== Lectures ==

* [https://disk.yandex.ru/i/LsKhx0pCNo5rag Lecture №1, 09.09]
* [https://disk.yandex.ru/i/gm4ch7k5ollvFw Lecture №2, 09.09]
* [https://disk.yandex.ru/i/c0TcXN4vRfzeFg Lecture №3, 16.09]
* [https://disk.yandex.ru/i/FT4wwTcAIX-_HQ Lecture №4, 16.09]
* [https://disk.yandex.ru/i/t5yYuWrJ-oITMA Lecture №5, 23.09]
* [https://disk.yandex.ru/i/S9lCIJAVmQ3b9A Lecture №6, 30.09]
* [https://disk.yandex.ru/i/9s3v2UzFPc5__A Lecture №7, 07.10]
* [https://disk.yandex.ru/i/bHD5cVgwmi7YeA Lecture №8, 14.10]
* [https://disk.yandex.ru/i/okMH8kxzkxne_g Lecture №9, 21.10]

== Seminars ==
* [https://disk.yandex.ru/i/yQ0AQ5MkdvWSIw Seminar №1, 23.09]
* [https://disk.yandex.ru/i/PxNQ46hQucpJGg Seminar №2, 30.09] [https://disk.yandex.ru/i/jD6jDXJMpslIaA Hand-written notes]
* [https://disk.yandex.ru/i/BSUXPa5XszBp4Q Seminar №3, 07.10]
* [https://disk.yandex.ru/i/gkUVY3oV7flI6w Seminar №4, 14.10]
* [https://disk.yandex.ru/i/tG54uz_EN9NoeA Seminar №5, 21.10]

== Homeworks ==
Please send your solutions to svsamsonov@hse.ru

* [https://disk.yandex.ru/i/Md3a498Ox_g-Xg HW №1, Deadline: 10.10.2023, 23:59]
* [https://disk.yandex.ru/i/ozUAh5yHQkuAuQ HW №2, Deadline: 25.10.2023, 23:59] Deadline was updated

== Exam ==
The exam is scheduled for November 1, 2023. There will be two groups for the exam:

*The first group will start at 10:00.
*The second group will start at 12:00.

You may book an exam slot below.

*[https://docs.google.com/spreadsheets/d/1eCw0hl7wpi1L1o3OCvOcRWgp8pnSinX_f5-t86_M2yU/edit?usp=sharing Exam slots.]

Exam questions will contain 1 theoretical question and 1 problem. Using any materials, electronic devices is allowed during preparation, but not during the answer. The proofs that were not given in the lectures can be omitted.

*[https://disk.yandex.ru/i/9wfVjDiEG0ticw List of exam questions.] The list of questions has been updated to include Fubini's theorem.

== Recommended literature (1st term) ==
*https://59clc.files.wordpress.com/2012/05/paul_r-_halmos_measure_theory_graduate_texts_inbookfi-org.pdf - P. Halmos. Measure theory. Chapters 1-6;
*phys.nsu.ru/korobkov/Fudan_2018_Sobolev_Spaces/Measure-Theory-and-Fine-Properties-of-Functions-Revised-Edition.pdf - L. Evans. Measure theory and fine properties of functions. Chapter 1;
*https://diendantoanhoc.org/index.php?app=core&module=attach&section=attach&attach_id=12514 - V. Bogachev. Measure theory. Chapters 1,2.
*https://www.youtube.com/watch?v=KRtrdtUI9YQ&list=PLhe7c-LCgl4IVzTaYL8kC-exzBJiJms2B - CMC MSU lectures (in russian!)

MOTV 2023 - История изменений

imported>Svsamsonov: Migrated current public revision from wiki.cs.hse.ru