Presessional Advanced Mathematics
Module leaders 

Module Aims: 
The module will prepare you for later advanced courses in economic and econometric analysis, by teaching you some of the key concepts and techniques normally used in research. In particular, the module will accustom you to the language used in formal mathematical arguments that are common in much advanced economics. 
Syllabus: 
1. Matrix algebra: 2. Difference and differential equations: 3. Real analysis: 4. Unconstrained optimization: 5–6. Constrained optimisation: 7. Fixed point theorems 8. Optimal control Readings: FMEA, chs. 8, 9,10. 9. Probability (brief introduction): 10. Deterministic and stochastic dynamic programming: 
Readings: 
Lecture notes will be distributed, but the main textbook will be Further Mathematics for Economic Analysis (FMEA) (2nd edition) by Knut Sydsæter, Peter Hammond, Atle Seierstad, and Arne Strøm (Pearson Education, 2008). The chapter numbers above refer to this book. There are also a few references to the more elementary Essential Mathematics for Economic Analysis (EMEA) by Knut Sydsaeter and Peter Hammond, 3rd edition (Pearson Education, 2008), or 4th edition (2012). 
Teaching Sessions: 
Start on Monday 17th September 2018 and continue Mondays to Fridays until 28th September 2018, 10am12noon and 24pm; room E0.23 
All incoming MRes students are strongly encouraged to attend the above intensive short course. It is a nonexamined course, offered on a voluntary basis, that provides no credit for your taught first year. Even if you do not attend, however, other MRes module leaders may still assume familiarity with the material it covers. 