How To Find The Fourier Series Of An Even Function with Arbitrary Period

Fourier series is the representation of periodic functions as an infinite sum of trigonometric functions (sines and Cosines). When this functions are periodic with 2L, we call the period arbitrary.

In earlier videos, we have seen that to get the Fourier series of a function, we have to get the value of all three coefficients of Fourier. Clearly, this is a somewhat tedious process and it is advantageous if we can obtain much information to help us reduce the time spent to determine the Fourier series of a function.

In this video, you’ll learn;
1. The formulas to use with arbitrary period
2. How to find the Fourier series coefficients of a function with arbitrary period
3. How to find the Fourier series of a function with arbitrary period.
4. How to solve problems on Fourier series
5. How to find the Fourier series expansion of any function
6. How to find the Fourier series of a graphed function
7. How to sketch a graph
8. How to graph a function in Fourier series
9. How to identify even and odd functions
10. How to find the Fourier series coefficients of an even function
11. How to find the Fourier series of an even function
12. How to find the Fourier series expansion of an even function
13. How to solve for Fourier series coefficients
14. How to integrate Fourier series
15. How to solve questions on Fourier series
16. How to Find the Fourier series of f(x)=1+x
17. How to find the Fourier series of f(x)=1-x
18. How to use half range to determine Fourier coefficients

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