Experiments
with Fourier Series
Part 1: Synthesis of Periodic
Functions
We
begin by experimenting with the construction of complex periodic functions
out of the simple trigonometric building blocks, sine and cosine.
- In your worksheet, create
a complicated periodic function, starting from a constant function, by
adding one at a time the given trigonometric terms of orders 1, 2, 3, 4.
- Continue the construction
by adding your own order-five term.
- Describe briefly how the
graphs change as higher-order terms are added.
modules at math.duke.edu