Unit name | MRes Mathematics for Economics |
---|---|
Unit code | EFIMM0023 |
Credit points | 15 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Dr. Eugene Jeong |
Open unit status | Not open |
Pre-requisites |
None |
Co-requisites |
None |
School/department | School of Economics |
Faculty | Faculty of Social Sciences and Law |
The unit aims to build in students the ability to know, understand, apply and evaluate the mathematical tools and methods needed in modern Economics. These skills constitute the base on which other units will build and will ultimately allow students to undertake novel research in their dissertation.
The focus in on Real Analysis and topics covered will include
- Basic topology - Numerical sequences and series - Continuity - Sequences and series of functions - Differentiation - IntegrationModern Economic and Econometrics theory requires mathematical skills and in particular the ability to understand mathematical arguments and provide proofs. Real Analysis provides a foundation for all of the mathematical methods used in Economics. The unit will familiarize students with formal arguments and proofs in Real Analysis so that students will be able to understand and evaluate the uses of these tools in economics as be able to apply these tools themselves. The students will also be able to understand the proper scope of application of these tools as well as their limitations.
Teaching will be delivered through a combination of synchronous and asynchronous sessions such as online teaching for large and small group, face-to-face small group classes (where possible) and interactive learning activities
7 day assessment (85%) and Coursework (15%).
Rudin, W. Principles of Mathematical Analysis (Third Ed), McGraw-Hill
Kolmogorov A.N. and Fomin S.V. Introductory Real Analysis (New Edition), Dover.
Marsden J.E. and Hoffman M.J. Elementary Classical Analysis (Second Ed), W.H. Freeman
Pugh, C. C. Real Mathematical Analysis (First Ed.) Springer-Verlag