
MATHEMATICS FOR ECONOMICS
Prerequisites:

Basic calculus, Differential calculus, Integrals, Basic Linear Algebra 
Examination methods:

Homework  Written test and oral exam. 
Course unit contents:

 Calculus of a Single Variable: differentiation and optimization of realvalued functions of a single variable, (a brief review)
 Vector Algebra: matrices and linear systems (review), eigenvalues and eigenvectors
 Multivariable Calculus: Differentiation of RealValued Functions of several variables, Concave and Quasiconcave functions
 Optimization (unconstrained and constrained): Equality constraints: Lagrange Method (review), Inequality constraints: KuhnTucker conditions, Envelope theorem, Comparative statics
 Fixed Point Theorems and Applications: Brouwer’s and Kakutani’s theorems, Implicit function theorem
 Differential Equations: ODE systems, dynamic systems
 Dynamic Programming: Hamilton Jacobi Bellman equation 

