Instructors:
Prof. Dr. Olaf Posch
Event type:
Lecture + practical course
Displayed in timetable as:
Language of instruction:
English
Min. | Max. participants:
- | 76
Comments/contents:
LV-SPRACHE:
Deutsch oder Englisch
This course is intended for advanced undergraduate students of economics whose mathematical requirements and interest go beyond the material of the essential methods taught in their undergraduate studies. In particular, the students learn the basic mathematical concepts for dynamic economic analysis. Dynamic systems arise frequently in economics, most prominently in the theory of economic growth, resources economics, climate systems and business cycle theory. The course is designed to be accessible to anybody who has had a basic training in mathematical analysis and linear algebra at the level of Essential Mathematics for Economic Analysis.
Further Mathematics for Economic Analysis:
- Topics in integration
- Differential equations
- Trigonometric functions and Complex numbers
- Difference equations
Attending this course allows students to strengthen their profile with a strong focus on methods in economics. It is highly recommended to students considering writing a thesis within the suggested topics above and/or interested in further studies in economics.
Learning objectives:
After this course, the students are able to ...
- theorize on techniques for one-variable integration and multiple integration
- apply and categorize solution techniques for differential equations
- apply and categorize solution techniques for difference equations
- theorize on the stability properties of dynamic systems
- relate to basis concepts of trigonometric functions
- apply solution techniques for systems of equations
Didactic concept:
- this course emphasizes economics not only to motivate a mathematical topic, but also to help acquire mathematical intuition
- focus on techniques particularly useful in economics and not necessarily on mathematical proofs
- the examples in this lecture cover a wide range of models in economics
- every section includes worked examples and problems for students to solve as exercises
Further Mathematics for Economic Analysis: Interactive Lecture (3 SWS)
Literature:
- Sydsæter, Knut, Peter Hammond, Atle Seierstad and Arne Strøm, Further Mathematics for Economic Analysis (FMEA), Prentice Hall, 2nd edition, 2008