# KTTA1110 Mathematical Economics I (5 cr)

**Study level:**

Intermediate studies

**Grading scale:**

0-5

**Language:**

English, Finnish

**Responsible organisation:**

Jyväskylä University School of Business and Economics

**Curriculum periods:**

2017-2018, 2018-2019, 2019-2020

## Tweet text

This course is substituted with KTTS1110 Mathematical Economics II completed during the 2nd year of studies.

## Description

##### Content

We get to know to the principles of the mathematical methods in economics in this course. During the course we will learn basics of the matrix calculus, differential and integral calculus and their applications in economics. Various optimization assignments are also introduced in this course.

##### Completion methods

Book exam: academic year

##### Assessment details

Accepted completion of the designated assignments. The assessment criteria of the course is specified in the study program annually.

## Learning outcomes

At the end of the course student is expected to be able to:

• explain/describe the properties of matrices and solve simple problem using matrix algebra

• solve linear system of equations

• analyse the extremums of functions

• use the Lagrange method

• explain what is meant with the concepts of limit and apply concepts of limits in economic problemsolving

• solve problems where implicit differential calculus is required

• explain/describe the properties of matrices and solve simple problem using matrix algebra

• solve linear system of equations

• analyse the extremums of functions

• use the Lagrange method

• explain what is meant with the concepts of limit and apply concepts of limits in economic problemsolving

• solve problems where implicit differential calculus is required

## Additional information

This course is substituted with KTTS1110 Mathematical Economics II completed during the 2nd year of studies.

## Description of prerequisites

TTKY611 Mathematics for Business and Economics 1 and TTKY612 Mathematics for Business and Economics 2 or equivalent

## Study materials

Chiang, A. C. & Wainwright, K. 2005. Fundamental Methods of Mathematical Economics. 4th edition: Chapter 4 (omitting Sec. 4.7), Chapter 5 (omitting Sec.5.7), Chapter 7, Chapter 8, Chapter 9 (omitting Sec. 9.6), Section 10.7, Chapter

11 (omitting Sec. 11.4–11.5), Chapter 12 (omitting Sec. 12.4, 12.6–12.7 and ”invariable and multiconstraint cases” on page 354), and Section 14.5.

Muu kurssilla mahdollisesti ilmoitettava materiaali.

Kurssikirjallisuus vahvistetaan vuosittain opinto-ohjelmassa

11 (omitting Sec. 11.4–11.5), Chapter 12 (omitting Sec. 12.4, 12.6–12.7 and ”invariable and multiconstraint cases” on page 354), and Section 14.5.

Muu kurssilla mahdollisesti ilmoitettava materiaali.

Kurssikirjallisuus vahvistetaan vuosittain opinto-ohjelmassa

## Literature

- Chiang, A. C. & Wainwright, K. 2005. Fundamental Methods of Mathematical Economics. 4th edition: Chapter 4 (omitting Sec. 4.7), Chapter 5 (omitting Sec.5.7), Chapter 7, Chapter 8, Chapter 9 (omitting Sec. 9.6), Section 10.7, Chapter<br />11 (omitting Sec. 11.4–11.5), Chapter 12 (omitting Sec. 12.4, 12.6–12.7 and ”invariable and multiconstraint cases” on page 354), and Section 14.5.; ISBN: 0-07-010910-9

## Completion methods

### Method 1

Select all marked parts

**Parts of the completion methods**

x

### Teaching (5 cr)

**Type:**

Participation in teaching

**Grading scale:**

0-5

**Language:**

English, Finnish