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.

## About this Course

### Offered by

#### National Research University Higher School of Economics

National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communicamathematics, engineering, and more.

## Syllabus - What you will learn from this course

**3 hours to complete**

## The basics of the set theory. Functions in Rn

Week 1 of the Course is devoted to the main concepts of the set theory, operation on sets and functions in Rn. Of special attention will be level curves. Also in this week introduced definitions of sequences, bounded and compact sets, domain and limit of the function. Also from this week students will grasp the concept of continuous function.

**3 hours to complete**

**12 videos**

**2 readings**

**4 hours to complete**

## Differentiation. Gradient. Hessian.

Week 2 of the Course is devoted to the main concepts of differentiation, gradient and Hessian.

**4 hours to complete**

**13 videos**

**1 practice exercise**

**3 hours to complete**

## Implicit Function Theorems and their applications.

Week 3 of the Course is devoted to implicit function theorems. In this week three different

**3 hours to complete**

**12 videos**

**4 hours to complete**

## Unconstrained and constrained optimization.

Week 4 of the Course is devoted to the problems of constrained and unconstrained optimization.

**4 hours to complete**

**15 videos**

**1 practice exercise**

## Reviews

### TOP REVIEWS FROM MATHEMATICS FOR ECONOMISTS

The Best Course for Economists and Mathematicians and Coursera is an excellent platform for learners.

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