Mathematical Methods for Economists
The purpose of this course is to introduce elements of mathematics which are most important for understanding the courses of microeconomics, macroeconomics and econometrics. The course includes 4 main parts: a) constrained optimization methods, b) differential equations, c) difference equations, d) dynamic optimization.
By the end of this course students will be expected to know the minimal set of mathematical tools which are used in economic models: unconstrained and constrained optimization, convexity, comparative statics analysis, differential and difference equations, methods of phase diagrams, dynamic optimization in discrete and continuous time. There is always a link between formal mathematical theory and economic applications. Students are expected to learn how to combine there knowledge gained from economic courses with the tools given in this course.
The course consists of lectures and practical classes. There are
2 hours of lectures and 1 hours of practice for each group during every week. The coursework includes several homework (10 % of final grade) and final exam (90 % of final grade). Homework includes problem sets based on the current lectures. Final Exam includes practical problems based on the lecture material
Although the course takes into account differences in mathematical background of CEU MA students, it is assumed that they have a basic knowledge in linear algebra (operations with vectors and matrices, linear systems, eigenvalues) and calculus (limit, differentiation, partial derivatives, integration, complex numbers). They should pass Introductory Mathematics to fill the gaps.