## A Journey through Fourier Series and Fourier Transforms

Learn about Fourier Serie and Transforms

In this course, you are introduced to the **Euler's formula and basic formulas of integration** which involve integrals of the product of the exponential and trigonometric functions. You learn how to write the Fourier series of a function. You learn about odd and even functions in different contexts, not just the traditional definition. Different aspects of odd and even functions are explained with examples.

The Fourier series of **odd and even functions **is explained. You will understand how to calculate the Fourier coefficients in different intervals for different functions. You understand the trick of solving identities using the Fourier series.There is a brief introduction to the role of periodic functions in evaluating the Fourier series.

You learn how to evaluate the Fourier series of the exponential, trigonometric, algebraic, modulus functions and more.The course concludes with **half range Fourier Series**

You will also learn how to calculate the **cosine series and the sine series **of a function. A number of problems are completely solved with steps clearly explained. The last assignment covers all the properties learnt in this course together with an understanding of the Fourier half series.

As a bonus, you will learn about **Harmonic Analysis a**nd how to calculate the 1st and 2nd harmonic for a function. Also learn how to calculate Harmonic coefficients for different types of intervals.

Learn Essential Concepts in Demystifying **Fourier Transforms. **You'll learn how to calculate Fourier Sine and Cosine Transforms and how to evaluate their Inverse.

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