Theme 2. Orthogonal functions and Fourier series. |
Orthogonal functions.
Fourier series.
Developments of Fourier series for odd and even functions.
Convergence.
The Fourier transform. |
Theme 4. The multiple integral in the sense of Riemann. |
The double and triple integrals in elementary regions.
Change of the order of integration.
Theorems of change of variable.
Cylindrical and spherical coordinates. Applications. |
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. |