Бакалавриат
2025/2026
Математика и статистика
Статус:
Курс обязательный (Международная программа «Международные отношения и глобальные исследования»)
Кто читает:
Факультет мировой экономики и мировой политики
Где читается:
Факультет мировой экономики и мировой политики
Когда читается:
1-й курс, 1, 2 модуль
Охват аудитории:
для своего кампуса
Преподаватели:
Сахарова Нина Евгеньевна
Язык:
английский
Кредиты:
3
Контактные часы:
40
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.
- Know the basic definitions of a random experiment
- Be able to define statistically independent events
- Know the basic definitions of a random experiment and probability and postulates of probability theory.
- Be able to recognize and avoid common probabilistic mistakes.
- Be able to analyze data using box-and-whiskers plots
- Сalculate mean, median and mode for population and samples
- Сalculate variance and standard deviation for population and samples
- Recognize and avoid common probabilistic mistakes.
Course Contents
- Probabilities: from definition to probability of union and intersection
- Conditional probability. Notion of statistically independent events
- Bayes' formula
- Random variables and probability distribution. Сontinious random variables: case of normal distribution. z-function, use of z-table. 68/95/99.7 rule
- Main concepts of statistics: population, sample. Graphical representation of data. Measures of central tendency and dispersion
- Correlation. Covariance. Linear regression
Assessment Elements
- Exam
- MidtermA written test, where you need to solve problems related to probability theory.
- Homework 1Homework assignments will be in the form of tests in the system
- Homework 2Homework assignments will be in the form of tests in the system
- Homework 3Homework assignments will be in the form of tests in the system
- Homework 4Homework assignments will be in the form of tests in the system
- Homework 5Homework assignments will be in the form of tests in the system
- Homework 6Homework assignments will be in the form of tests in the system
- Homework 7Homework assignments will be in the form of tests in the system
- Homework 8Homework assignments will be in the form of tests in the system
- Quiz 1Written solution of problems
- Quiz 2Written solution of problems
- Quiz 3Written solution of problems
- Quiz 4Written solution of problems
- Quiz 5Written solution of problems
- Quiz 6Written solution of problems
- Quiz 7Written solution of problems
- Quiz 8Written solution of problems
Interim Assessment
- 2025/2026 2nd module0.28 * Exam + 0.025 * Homework 1 + 0.025 * Homework 2 + 0.025 * Homework 3 + 0.025 * Homework 4 + 0.025 * Homework 5 + 0.025 * Homework 6 + 0.025 * Homework 7 + 0.025 * Homework 8 + 0.27 * Midterm + 0.025 * Quiz 1 + 0.025 * Quiz 2 + 0.025 * Quiz 3 + 0.05 * Quiz 4 + 0.025 * Quiz 5 + 0.025 * Quiz 6 + 0.025 * Quiz 7 + 0.05 * Quiz 8
Bibliography
Recommended Core Bibliography
- Complete business statistics, Aczel, A.D., 1996
- Linde, W. (2017). Probability Theory : A First Course in Probability Theory and Statistics. [N.p.]: De Gruyter. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1438416
- New Cambridge Statistical Tables : second edition, Lindley, D. V., 1999
- Rohatgi, V. K., & Saleh, A. K. M. E. (2015). An Introduction to Probability and Statistics (Vol. 3rd edition). Hoboken, New Jersey: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1050364
- Statistics for business and economics, Newbold, P., 2013
Recommended Additional Bibliography
- A first course in probability, Ross, S., 2010
- Introductory statistics for business and economics, Wonnacott, T. H., 1990
- Statistical Techniques in Business and Economics, international student edition, 7th ed., 910 p., Mason, R. D., Lind, D. A., 1990