Кто читает:: Факультет мировой экономики и мировой политики

Статус:: Курс обязательный

Когда читается:: 1-й курс, 1, 2 модуль

Преподаватель

Десятников Иван Васильевич

Full Syllabus

Abstract

No Pre-requisites required but familiarity with basic algebra and calculus is assumed. Anyone who interested in basic mathematics is always welcome. The course consists of three parts. In the first, we introduce some concepts from linear algebra. The second part is devoted to multivariate calculus constrained static optimization. The last section provides an introduction to differential equations and dynamic systems. This course covers the basic mathematical tools that are used in classical and modern economics analysis and econometrics. By the end of this course, students are expected to master a number of derivations techniques, and this mastering comes only at the price of doing a sizable number of exercise. The instructor is there to help you through the learning process. Critical thinking and the use of models to solve problems is emphasized. There are no other particular prerequisites.

Learning Objectives

To introduce the key mathematical theories that are applied in economic analysis such as equilibrium analysis, linear algebra and calculus
To develop the mathematical maturity so that students are not intimidated by mathematical notations and abstractions
To develop intuition, creativity, critical thinking and problem-solving skills of students

Expected Learning Outcomes

To solve a quadratic equation
To get familiar with basic functions like logarithm, exponential and power functions and their properties
To calculate derivatives and integrals involving functions that are often used in economic analysis
To understand the concepts of convex and concave sets and the relationship with convex and concave functions
To understand the basic rules for solving constrained or unconstrained optimization problem
To understand the basic elements of linear algebra, e.g. singularity and non-singularity of a matrix determinant and inverse of a matrix

Course Contents

Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Week 13
Week 14
Week 15
Week 16

Assessment Elements

Attendance
Homework
Mid-term test
Final exam

Interim Assessment

2023/2024 2nd module
0.11 * Attendance + 0.4 * Final exam + 0.2 * Homework + 0.29 * Mid-term test

Bibliography

Recommended Core Bibliography

Fundamental methods of mathematical economics, Chiang, A. C., 1984
Fundamental methods of mathematical economics, Chiang, A. C., 2005
Fundamental methods of mathematical economics, Chiang, A. C., 2005

Recommended Additional 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

Бакалаврская программа «Программа двух дипломов НИУ ВШЭ и Университета Кёнхи «Экономика и политика в Азии»»

Mathematics for Economics and Business