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Learn everything you need to master the Fourier Series in your Engineering Mathematics class.

What you will learn

Graphing of trigonometric functions with varying amplitude, period, phase shift and vertical shift

Describe the non-sinusoidal functions analytically in two different ways

Graphing of the periodic non-sinusoidal functions

How to use integration table and integrate simple functions

More advanced integration covering integrals of the trigonometric functions and application of the partial integration

Understand Dirichlet conditions and how to apply them

How to find Fourier Series coefficients

Identifying even and odd functions analytically and graphically


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First theorem in Fourier Series connected to the even functions

Second theorem in Fourier Series connected to the odd functions

Half Range Sine Series

Half Range Cosine Series

Description

MASTER FOURIER SERIES FOR YOUR ENGINEERING MATHEMATICS CLASS!

This Fourier Series course includes 7h+ of on-demand video supported with quizzes, workbooks, formula sheets and fully detailed solutions. The structure of the course is tailored in a way that everyone with any background knowledge of mathematics can come and master the Fourier Series. I always believed that any topic, no matter how complex can be broken down into smaller elements that are easy to understand and I took this approach in this course. You will be able to master the following sections:

  • Graphing of trigonometric functions with varying amplitude, period, phase shift and vertical shift
  • Describing the non-sinusoidal functions analytically in two different ways
  • Graphing of the periodic non-sinusoidal functions
  • Using integration table and integrating simple functions
  • More advanced integration covering integrals of the trigonometric functions and application of the partial integration
  • Understanding Dirichlet conditions and how to apply them
  • Finding Fourier Series coefficients
  • Identifying even and odd functions analytically and graphically
  • The first theorem in Fourier Series connected to the even functions
  • The second theorem in Fourier Series connected to the odd functions
  • Half Range Sine and Cosine Series

Now if you are someone that is very comfortable in the topics leading up to finding the Fourier Series coefficients or you have an exam in 24hours, feel free to jump ahead to the section of the course!

THIS COURSE ALSO PROVIDES YOU WITH:

  • Q&A section with a friendly support
  • 30-day money-back guarantee
  • Udemy Certificate of Completion
  • Lifetime access!
English
language

Content

Introduction
Everything you need to DOWNLOAD!
Introduction to Fourier Series
Plan of Action!
Graphing of the Sinusoidal and Non-sinusoidal Functions!
Graphing of Trigonometric Functions – Part 1
Graphing of Trigonometric Functions – Part 2
Describing the functions analytically (Extracting functions from plots)
Graphing of the non-sinusoidal functions
Graphing Quiz!
Integration
Basic Integration
Advanced Integration – Part 1
Advanced Integration – Part 2
Advanced Integration – Part 3
Advanced Integration – Part 4
Advanced Integration – Part 5
Integration Quiz!
Dirichlet Conditions
Dirichlet Conditions
Quiz on Dirichlet Conditions!
Finding Fourier Series Coefficients
Fourier Series Coefficients – Example 1
Fourier Series Coefficients – Example 2
Fourier Series Coefficients – Example 3
Fourier Series Coefficients – Example 4
Even and Odd Functions
Determining if the function is even, odd or neither using only its GRAPH
Determining if the function is even, odd or neither ANALYTICALLY!
Quiz on even and odd functions!
First and Second Theorem
First Theorem (Even Functions) – Part 1
First Theorem (Even Functions) – Part 2
First Theorem (Even Functions) – Part 3
Second Theorem (Odd Functions) – Part 1
Second Theorem (Odd Functions) – Part 2
Second Theorem (Odd Functions) – Part 3
Functions that are not even nor odd!
Half-Range Series
Half-Range Cosine Series – Example 1
Half-Range Cosine Series – Example 2
Half-Range Sine Series – Example 1
Half-Range Sine Series – Example 2
Extra Problems
Extra Example 1
Extra Example 2