Theme 2. Numerical integration. |
Interpolatory quadratures.
Properties. Error of interpolation.
Particular cases: Poncelet, tapezoidal and Simpson formulas.
Formulas of composite quadrature. |
Theme 4. Orthogonal functions and Fourier series. |
Orthogonal functions.
Fourier series.
Developments of Fourier series for odd and even functions.
Convergence.
The Fourier transform. |
Theme 6. Ordinary differential equations of second order. |
Differential equations of second order and of upper order.
Homogeneous and non homogeneous linear differential equations.
Linear differential equations with constant coefficients.
Indeterminate coefficients.
Variation of parameters.
Cauchy-Euler equation. |