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Mathematics for Economists

2021/2022
Учебный год
ENG
Обучение ведется на английском языке
3
Кредиты
Статус:
Курс по выбору
Когда читается:
1-й курс, 4 модуль

Преподаватели

Course Syllabus

Abstract

This course is an important part of the undergraduate stage in education for future economists. It's also useful for graduate students who would like to gain knowledge and skills in an important part of math. It gives students skills for implementation of the mathematical knowledge and expertise to the problems of economics. Its prerequisites are both the knowledge of the single variable calculus and the foundations of linear algebra including operations on matrices and the general theory of systems of simultaneous equations. Some knowledge of vector spaces would be beneficial for a student.
Learning Objectives

Learning Objectives

  • The objective of the course is to acquire the students’ knowledge in the field of mathematics and to make them ready to analyze simulated as well as real economic situations.
Expected Learning Outcomes

Expected Learning Outcomes

  • Students give definition for main concepts of the set theory.
  • Students apply Weierstrass theorem.
Course Contents

Course Contents

  • The basics of the set theory. Functions in Rn
  • Differentiation. Gradient. Hessian.
  • Implicit Function Theorems and their applications.
  • Constrained optimization for n-dim space. Bordered Hessian.
  • Global extrema. Constrained optimization with inequality constraints.
  • Kunh-Tucker conditions. Homogeneous functions.
  • Unconstrained and constrained optimization.
  • Constrained optimization for n-dim space. Bordered Hessian.
Assessment Elements

Assessment Elements

  • non-blocking Final test
  • non-blocking Average of all quizzes
Interim Assessment

Interim Assessment

  • Interim assessment (4 module)
    0.5 * Average of all quizzes + 0.5 * Final test
Bibliography

Bibliography

Recommended Core Bibliography

  • Sydsæter, K., & Hammond, P. J. (2016). Essential Mathematics for Economic Analysis (Vol. Fifth edition). Harlow, United Kingdom: Pearson. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=1419812

Recommended Additional Bibliography

  • Anthony, M., & Biggs, N. (1996). Mathematics for Economics and Finance : Methods and Modelling. Cambridge [England]: Cambridge eText. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=510977