ELEMENTS OF REAL ANALYSIS
Basic notions of linear algebra and probability, especially useful for students who are interested in the quantitative aspects of economic sciences.
Linear algebra. Quadratic forms. Optimization.
Linear algebra and quadratic forms.
Optimization of functions of two variables.
Basic probability theory. Conditioned probability. Bayes theorem. Independence. Bernoulli schemes. Discrete random variables. Binomial distribution. Absolutely continuous random variables. Densities. Gaussian distributions. Expectation. Variance. Covariance. Behaviour under sum. Law of Large Numbers. Central Limit Theorem.
T. Apostol, Calculus vol 2 (second edition)
At least 48 hours of lectures and exercise sections.
Both written and oral examinations.
Weekly office hours will be held. Please consult the official web page for precise information.