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Updated A.Y. 2016-2017

Mathematics 2
prof. Annalisa Fabretti

Academic year 2016-2017

Linear Algebra
- Matrices. Matrix algebra, Determinant, Trace, Rank, Inverse Matrix, Eigenvalues and eigenvectors.
- Linear Spaces. The algebra of vectors, Euclidean Spaces, Inner product, Linear independence.
- Systems of Linear equations. Cramer’s Theorem, Cramer’s rule, Rouche Capelli theorem.
- Integral Calculus. Definite and indefinite integrals, Integral properties, The fundamental theorem of calculus, Integration by parts and integration by substitution, Improper integrals.
- Calculus of several variables. Domain, Partial derivatives, gradient, hessian matrix. Stationary points. Countour curves.
- Unconstrained optimization. First and second order conditions
- Constrained optimization with Equality constraints. First and second order conditions