Topics in Advanced Mathematics

Content

Economists (and other scientists) often study the changes over time in variables like national income, interest rate, oil production... The laws of motion governing these variables are usually expressed in terms of one or more differential equation(s).

  • In the first part of this course we will study (ordinary) differential equations and special systems of differential equations.
  • In the second part of the course we will discuss the connections between differential equations, the classical calculus of variations and optimal control theory.

Organsational Matters

If you are interested in attending this course, then please write a mail (as soon as possible).

Performance review
Exercises must be solved and you should hand in the solutions. The solutions will be marked. All these marks together (arithmetic mean) give the preliminary mark. At the end of the term there will be an examination. Your overall mark will be the arithmetic mean of the preliminary mark and the examination mark.

References

  • Sydsaeter K., Hammond P., Seierstad A., Strom A.: Further Mathematics for Economic Analysis, Prentice Hall.
  • Chiang, Alpha C.: Fundamental Methods of Mathematical Economics, McGraw-Hill International Editions.

 

Examination

General Information
There is an examination (duration 90 minutes) in december. The date of the examination will be fixed with the participants of the course.

Allowed electronic means:
simple pocket calculator (einfacher Taschenrechner, according to Merkblatt Hilfsmittel)

Allowed non-electronic means:
open-book


11.10.2018: Introduction

You should be familiar with the following subjects: Introduction

Please make an appointment with me. Then you will get the study material and the exercises for the following week.

18.10.2018:

Please make an appointment with me. Then you will get the study material and the exercises for the following week.

25.10.2018:

Please make an appointment with me. Then you will get the study material and the exercises for the following week.