Università Roma Tre

Ordinary Differential Equations:
Local existence and uniqueness; homogeneous and non-homogeneous linear ordinary differential equations.
Equations with separable variables. Conservative equations in one dimension.

T. Apostol, Calculus, vol. 2, Wiley

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

T. Apostol, Calculus, vol. 2, Wiley