### Fourier series

For the sawtooth wave *f(t) *

- Expand
*f(t)* into the Fourier series both with real and complex
coefficients (*i.e.* in the "sin/cos" and "exp" forms) - Make
sure that both series are equal.
- Plot the function
*f(t)*
and its approximation using the first *N* members of the
infinite Fouries series you found. Check (qualitatively) how good the
approximation is for different *N*'s. (use any mathematical
program for this purpose, *e.g.* Matlab).