Просмотр кода страницы Mathematical Foundations of Probability theory

== 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
|-
|}

== About the course ==
This page contains materials for the Mathematical Foundations of Probability theory course in 2022/2023, 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) :
* O<sub>HW</sub> for the hometasks
* O<sub>Exam</sub> for the final exam  
The formula for the final grade is 
* O<sub>Final</sub> = 0.5*O<sub>HW</sub> + 0.5*O<sub>Exam</sub>
with the usual (arithmetical) rounding rule.

[https://docs.google.com/spreadsheets/d/1NnV7tA0MBvVZ7mm63VY6VkvdCFY8j_Nxvz70hXAOook/edit?usp=sharing '''Table with grades''']

== Lectures ==
*[]

== Seminars ==
*[]

==Homeworks ==
*[https://www.dropbox.com/s/cjjkrnslzcbq196/HW_1_mat_osnovy.pdf?dl=0] Homework #1, deadline: 16.10.2022, 23:59.
*[https://www.dropbox.com/s/9cv8m6miuxto6ak/HW_2_mat_osnovy.pdf?dl=0] Homework #2, deadline: 29.10.2022, 23:59. Deadline was extended!

== Exam ==
Exam will be organised on 29.10.2022. Please split into 2 groups: first group starts exam at 09:00, second group starts at 10:30. You can book am exam slot below. Exam question 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://www.dropbox.com/s/h1u3ftm9wxym7d7/Mat_osnovy_exam_topics.pdf?dl=0 List of exam questions.]
*[https://docs.google.com/spreadsheets/d/1eCw0hl7wpi1L1o3OCvOcRWgp8pnSinX_f5-t86_M2yU/edit?usp=sharing link to exam slots]
*[https://www.dropbox.com/s/d6xz0d16vu1xkfe/Mat_osnovy_exam_problems.pdf?dl=0 exam problems]

== 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!)