Магистратура
2024/2025
Математика
Статус:
Курс по выбору (Политика. Экономика. Философия / Politics. Economics. Philosophy)
Направление:
41.04.04. Политология
Кто читает:
Департамент политики и управления
Где читается:
Факультет социальных наук
Когда читается:
1-й курс, 1 модуль
Формат изучения:
без онлайн-курса
Охват аудитории:
для своего кампуса
Прогр. обучения:
Политика. Экономика. Философия
Язык:
английский
Кредиты:
3
Course Syllabus
Abstract
In the process of studying the discipline, students will become familiar with theoretical foundations and basic methods of solving tasks on the following topics • Random events and probability • Conditional probability. Independent events • Random variables. Mathematical expectation and variance. Distributions of discrete random variables • Continuous random variables. Normal distribution • Limit theorems • Introduction to Statistics. Exploratory Data Analysis
Learning Objectives
- The aim of this discipline is to familiarize students with the basic concepts of probability theory and statistics.
Expected Learning Outcomes
- Calculates any probability for Normal Distribution.
- To understand the notions of continuous random variable and of probability distribution. Know how to apply the central limit theorem
- Understand notions and elementary properties of discrete random variables, expected value and variance.
- Know properties of normal distribution.
- Able to learn the concept of normal distribution
- Students are able to explain basic concepts of probability theory: random outcomes, random events, conditional probability, and independent random events
Course Contents
- Random events and probability
- Random variables
- Continuous random variables
- Limit theorems
- Introduction to statistics
Interim Assessment
- 2024/2025 1st module0.4 * Exam + 0.1 * Home Assignment 1 + 0.1 * Home Assignment 2 + 0.1 * Seminar activity + 0.15 * Test 1 + 0.15 * Test 2
Bibliography
Recommended Core Bibliography
- A modern introduction to probability and statistics : understanding why and how, Dekking, F. M., 2010
- Larsen, R. J., & Marx, M. L. (2015). An introduction to mathematical statistics and its applications. Slovenia, Europe: Prentice Hall. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.19D77756
- Mathematical statistics with applications, Wackerly, D. D., 2008
- Myatt, G. J., & Johnson, W. P. (2014). Making Sense of Data I : A Practical Guide to Exploratory Data Analysis and Data Mining (Vol. Second edition). Hoboken, New Jersey: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=809795
Recommended Additional Bibliography
- Core concepts in data analysis: summarization, correlation and visualization, Mirkin, B., 2011