Mathematical Research Tools
Full course description
Multi-variable calculus, static optimisation methods in particular Lagrange and Kuhn-Tucker, connection with linear and non-linear programming, dynamic (discrete and non-discrete) optimisation methods (Bellman principle, calculus of variations, optimal control, Pontryagin maximum principle), basic elements of difference and differential equations and of dynamic systems.
This course offers basic mathematical methods for economic research. The focus is on static and dynamic optimisation and on the underlying mathematics, necessary to understand and apply these optimisation methods. These tools are relevant for all specialisations within the Economic and Finance Research (EFR) master program.
Basic level of mathematics (e.g. Sydsaetter et.al, Mathematics for Economic Analysis).
- Jehle, Geoffrey A. and Philip J. Reny : Advanced Microeconomic Theory (2nd edition).
- Sydsaetter, K., Hammond, P., Seierstad, A. and A. Strom : Further Mathematics for Economic Analysis (Financial Times / Prentice Hall, 2008).