Mathematical Analysis Differential and integral calculus for real functions of several variables. Function sequences and series. Fourier series. Laplace and Fourier integral transforms.
Operations Research Linear Programming theory including simplex method, post-optimality analysis, dual theory, sensitivity analysis. Linear Integer Programming theory including models formulation, exact solution algorithms (branch and bound, cutting planes), heuristics approaches (local search, greedy methods, approximation algorithms) and applications to engineering. Introduction to Graph Theory and to Computational Complexity Theory.