Магистратура
2020/2021![Learning Objectives](/f/src/global/i/edu/objectives.svg)
![Expected Learning Outcomes](/f/src/global/i/edu/results.svg)
![Course Contents](/f/src/global/i/edu/sections.svg)
![Assessment Elements](/f/src/global/i/edu/controls.svg)
![Interim Assessment](/f/src/global/i/edu/intermediate_certification.svg)
![Bibliography](/f/src/global/i/edu/library.svg)
Математика для экономистов
Статус:
Курс обязательный (Экономика: исследовательская программа)
Направление:
38.04.01. Экономика
Кто читает:
Департамент теоретической экономики
Где читается:
Факультет экономических наук
Когда читается:
1-й курс, 1 модуль
Формат изучения:
без онлайн-курса
Прогр. обучения:
Экономика: исследовательская программа
Язык:
английский
Кредиты:
3
Контактные часы:
42
Course Syllabus
Abstract
The objective of the course is to equip the students with some of the theoretical foundations of the modern mathematics and what is more important with the analytical methods of solving problems posed by the micro and macro analysis.
Learning Objectives
- The course has been designed to convey to the students how mathematics can be used in the modern micro and macro economic analysis.
- Emphasis is placed on the model-building techniques, methods of solution and economic interpretations.
- Topics studied comprise the following: methods of optimization, dynamic programming, optimal control theory.
Expected Learning Outcomes
- Have the ability to solve optimization problems in the case of numerous inequality constraints,
- Have acquired the knowledge of the methods of the optimal control theory its applicability for solving problems in economics
- Have acquired the knowledge of the methods of the dynamic programming and its applicability for solving problems in economics
Course Contents
- Basics of optimization, elements of convex analysis and Kuhn-Tucker method
- Dynamic Optimization in Continuous Time
- Finite-Horizon Dynamic Programming
Assessment Elements
- Final testOpen questioned test
- Homework 1Homework will be collected, marked and returned to the students
- Homework 2Homework will be collected, marked and returned to the students
Interim Assessment
- Interim assessment (1 module)0.6 * Final test + 0.2 * Homework 1 + 0.2 * Homework 2
Bibliography
Recommended Core Bibliography
- A first course in optimization theory, Sundaram, R. K., 2011
- Dynamic optimization : the calculus of variations and optimal control in economics and management, Kamien, M. I., 2012
- Mathematics for economists, Simon, C. P., 1994
Recommended Additional Bibliography
- Kamien, M. I., & Schwartz, N. L. (2012). Dynamic Optimization, Second Edition : The Calculus of Variations and Optimal Control in Economics and Management (Vol. 2nd ed). Mineola, N.Y.: Dover Publications. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1154370