Università Roma Tre

Taylor series and Fourier series. Ordinary differential equations: existence and local uniqueness; homogeneous and non-homogeneous linear ordinary differential equations.
Functions of several variables; continuity; partial derivatives; local maxima and minima, Hessian matrix. Lagrange multipliers. Integration according to Riemann;
multiple integrals. Curvilinear curves and integrals; surfaces and surface integrals. Divergence theorem and curl theorem.

[BDG] Michiel Bertsch, Roberta Dal Passo, Lorenzo Giacomelli, Analisi matematica, McGraw Hill, Milano, 2011