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Course Syllabus

Master 2023/2024

Calculus

Type: Elective course (Politics. Economics. Philosophy)
Area of studies: Political Science
Delivered by: School of Politics and Governance
Where: Faculty of Social Sciences
When: 1 year, 1 module
Mode of studies: offline
Open to: students of one campus
Master’s programme: Политика. Экономика. Философия
Language: English
ECTS credits: 3
Contact hours: 28

Course Syllabus

Full 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

Learning Objectives

  • The aim of this discipline is to familiarize students with the basic concepts of probability theory and statistics.
Expected Learning Outcomes

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

Course Contents

  • Random events and probability
  • Random variables
  • Continuous random variables
  • Limit theorems
  • Introduction to statistics
Assessment Elements

Assessment Elements

  • non-blocking Home Assignment 1
  • non-blocking Home Assignment 2
  • non-blocking Test 1
  • non-blocking Test 2
  • non-blocking Seminar activity
  • non-blocking Exam
Interim Assessment

Interim Assessment

  • 2023/2024 1st module
    0.4 * Exam + 0.1 * Home Assignment 1 + 0.1 * Home Assignment 2 + 0.1 * Seminar activity + 0.15 * Test 1 + 0.15 * Test 2
Bibliography

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