Mathematics

2021/2022

Academic Year

ENG

Instruction in English

3

ECTS credits

Delivered at:

School of Politics and Governance

Course type:

Bridging course

When:

1 year, 1 module

Instructor

Goncharenko, Vasily

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 • Derivative and its applications; • combinatorial analysis, definition of probability, random events; • independent events, expected value and variance of random variable; main discrete distributions of random variables; • Normal distribution. Limit theorems; • Sample. Descriptive statistics: sample mean, median, sample variance, quintiles, quartiles

Learning Objectives

• The course aims to provide students with understanding of key concepts and methods of calculus and probability theory for understanding other practical courses, related to data analysis and programming and economics.

Expected Learning Outcomes

•  know main definitions and results of probability theory and statistics to be essential for understanding further practical courses;  be able to formalize the problem from subject area, choose the adequate methods of solutions, perform calculations and to interpret the results;  have skills of solving problems to be important in professional activity.

Course Contents

• Derivative and its properties
• Combinatorial analysis. Axioms of probability.
• Classical definition of probability. Conditional probability and independence
• Random variables. Main characteristics. Main types of discrete random variables
• Expected value and Variance of random variable
• Continuous random variables. Normal distribution. Limits theorem
• Basic definitions of statistics.

Assessment Elements

• Control work
• Quizzes and activity
• Exam
• Control work
• Quizzes and activity
• Exam

Interim Assessment

• 2021/2022 1st module
  0.5 * Exam + 0.25 * Quizzes and activity + 0.25 * Control work

Bibliography

Recommended Core Bibliography

• Calculus early transcendentals, Stewart, J., 2012

Recommended Additional Bibliography

• Теория вероятностей и статистика : учеб. пособие для 10 и 11 кл. общеобразоват. учреждений, Тюрин, Ю. Н., 2014