Foundation Courses

Mathematics I
Sets, functions and correspondences; Algebraic structures; Construction of real numbers; Polynomials; Vector spaces and subspaces; linear independence; Basis and dimensions;  Matrices; Determinants; Eigenvalues and Eigenvectors; Bilinear and Quadratic Forms; Orthogonal Projection.

Mathematics II
Topology and Metric Spaces; Compactness, Connectedness, and Convexity; Differential and Integral calculus.

Probability theory; Univariate random variables; Multivariate random variables; Distribution and density functions; Expectations; Convergence Concepts; Estimation Theory; Maximum Likelihood; Statistical Testing.

Computational Methods
Basics of computer programming, numerical differentiation, approximation and interpolation, zero finding and numerical optimization, numerical integration, Monte Carlo methods.

Dynamic Optimization I
Sequential problems and recursive problems, Bellman equations, contraction mappings, solution methods.

Dynamic Optimization II
Markov processes; principle of optimality; stochastic Euler equations; applications to partial equilibrium models; search models.


Macroeconomics I
Investment, consumption, asset pricing, labor supply, optimal taxation, overlapping generations, financial frictions.

Macroeconomics II

Exogenous growth, endogenous growth, empirical findings.

Macroeconomics III
Neoclassical growth models under uncertainty; Dynamic New Keynesian models; optimal fiscal and monetary policy, search and labor market frictions.


Microeconomics I (part 1, part 2)
Decision theory; consumer theory; producer theory; partial equilibrium theory.

Microeconomics II
Consumer theory; producer theory; general equilibrium theory.

Game Theory
Representation theory; solution theory; applications.

Applied Game Theory
find more details in the syllabus


Econometrics I
Algebra of least squares; classical and generalized linear regressions; likelihood function, distributions and testing principles; asymptotic analysis; estimation and testing in generalized regression models.

Econometrics II
Stationary stochastic processes; integrated univariate processes; stationary VAR processes; cointegration analysis.

Econometrics III
Instrumental variable estimation; generalized method of moments: panel data econometrics.

Econometrics IV
Empirical project: Application of econometric methods in microeconomics, macroeconomics, or time series econometrics.