Bachelor
2021/2022
Mathematics and Statistics
Type:
Compulsory course
Area of studies:
International Relations
Delivered by:
Faculty of World Economy and International Affairs
When:
1 year, 1 module
Mode of studies:
distance learning
Online hours:
16
Open to:
students of one campus
Language:
English
ECTS credits:
3
Contact hours:
28
Course Syllabus
Abstract
Mathematics is an important part of the bachelor stage in education of the future political scientists. It has to give students skills for implementation of the mathematical knowledge and expertise. Special attention is paid to interpretation of tables and results and finding the appropriate way to approach statistical problems. The successful completion of the course is absolutely crucial for understanding of the Data Culture course which proceeds after the Calculus and Statistics course.
Learning Objectives
- Acquire knowledge in the field of calculus and linear algebra
- Acquire knowledge in the field of statistics
- Be able to analyze simulated and real situations in the world affairs.
Expected Learning Outcomes
- Be able to compute the probability of an intersection and a union, define statistically independent events and apply Bayes theorem.
- Be able to graphically analyze data using box-and-whiskers plots
- Know how to calculate variance and standard deviation for population and samples
Course Contents
- Вводная лекция
- Событие.
- Процентные ставки
- Условная вероятность.
- Функции. Основные примеры функций.
- Основы теории вероятностей
- Обратная функция. Композиция функций.
- Дискретные случайные величины.
- Производная функции.
- Системы линейных уравнений.
- Количественный анализ. Элементарная обработка данных.
- Геометрические представления решений.
- Статистические парадоксы.
- Set theory
- Functions
- Graph of a function
- Derivative
- Application of derivative
- Integrals
- Application of integrals
- 6. Main concepts of statistics
- 1. Measures of central tendency
- 2. Measures of central tendency (continued)
- 3. Grouped data and histograms
- 4. Probability
- 5. Probability (continued)
