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Course Syllabus

Bachelor 2021/2022

Mathematics and Statistics

Type: Elective course (Political Science and World Politics)
Area of studies: Political Science
Delivered by: Department of Mathematics
Where: Saint-Petersburg School of Social Sciences
When: 1 year, 3, 4 module
Mode of studies: offline
Open to: students of one campus
Instructors: Alexandra Grinikh, Ekaterina Gromova
Language: English
ECTS credits: 7
Contact hours: 80

Course Syllabus

Full Syllabus

Abstract

The goal of studying the discipline "Mathematics and Statistics" is to familiarize students with algebra, probability theory and mathematical statistics at the level that would allow students to solve applied problems that require the use of mathematical apparatus. The course materials can be used for the further study and application of methods aimed at solving problems from different fields of knowledge, for the definition and study of mathematical models for such problems. This discipline will allow the students of the Department of Applied Political Science to study the mathematical and statistical components of their professional education.
Learning Objectives

Learning Objectives

  • The goal of this course is to introduce the students to the basic mathematical notions and techniques needed to perform statistical analysis.
Expected Learning Outcomes

Expected Learning Outcomes

  • able to compute derivatives of complex functions, limits by rule of Lopital, to conduct function research and make a graph
  • can calculate indefinite and definite integrals
  • can calculate partial derivatives
  • can calculate the limits of numerical sequences and functions
  • can perform operations on vectors in coordinate form, solve problems in analytic geometry on a plane and in space
  • can solve equations with one unknown
  • can solve random value problems
  • can solve the problem of finding the probabilities of random events
  • can test statistical hypotheses
Course Contents

Course Contents

  • Elements of Linear Algebra
  • Elements of vector algebra and analytic geometry
  • Limits and continuity
  • Basics of Differential Calculus. Applications
  • Basics of Integral Calculus
  • Functions of two variables
  • Probability spaces
  • Random variables
  • Statistical hypothesis testing
Assessment Elements

Assessment Elements

  • non-blocking Test 1
  • non-blocking Test 2
  • non-blocking Classroom work 1
  • non-blocking Classroom work 2
  • non-blocking Classroom work 3
  • non-blocking Exam
Interim Assessment

Interim Assessment

  • 2021/2022 4th module
    0.4 * Exam + 0.084 * Classroom work 3 + 0.078 * Classroom work 1 + 0.078 * Classroom work 2 + 0.18 * Test 1 + 0.18 * Test 2
Bibliography

Bibliography

Recommended Core Bibliography

  • Ross, S. M. (2009). Introduction to Probability and Statistics for Engineers and Scientists (Vol. 4th ed). Burlington: Elsevier Ltd. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=414356

Recommended Additional Bibliography

  • Hilbert, S. (2010). Calculus : An Active Approach with Projects. Washington, DC: Mathematical Association of America. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=490207

Authors

  • GROMOVA EKATERINA VIKTOROVNA
  • GRINIKH ALEKSANDRA LEONIDOVNA