Fourier Series And Transform

Master Fourier Series and Transform, by gaining an amazing understanding behind the logic.

What you'll learn

Learning the fundamentals of functions including "even-odd functions" ; "periodic functions" ; "trigonometric functions"

With the fundamentals of functions, exploring the building blocks of any possible function.

Being able to deal with complex numbers, complex number representations and calculations.

Being able to graph sinusoidal functions by knowing "amplitude" "argument" "period" "phase".

Requirements

Enthusiasm

Description

This Fourier Series course includes over 12 hours (estimation) of video-on-demand supported by fully detailed quizzes, formula sheets, and solutions. While creating the course, we have spent a lot of time on its structure so that anyone with a basic math background could master Fourier Series and Transform with ease. As Afterclap Academy always does, the topic is divided into smaller, easy to understand parts. So that, you can easily understand any topic no matter how complex it is. In this course, what you are going to learn;Graphical representation of trigonometric functions with variable amplitude, period, phase shift, and vertical displacement Describing non-sinusoidal functions.Graph of non-sinusoidal periodic functions Integration of some functions that are built-in within Fourier Series and TransformFind the coefficients of the Fourier series Identify even and odd functions analytically and graphically Also, you can ask your questions anytime you want. We will be replying your questions within 24 hours. We expect our students to benefit from this course a 100% percent, to make that possible, we are giving-away 1 to 1 free lectures. Without having any other lecture on the topic, you will be an expert. Thanks to neat explanation and smooth example solving.In Afterclap, We TrustSincerely,kavcarAfterclap ACADEMY

Overview

Section 1: Introduction

Lecture 1 Introduction to Course

Section 2: 1- Preparation to Fourier Series and Transform (must knows)

Lecture 2 1.1 Fundamentals of Functions (Periodicity ; odd, even and trigonometric func.)

Lecture 3 1.2 Fundamentals of Complex Numbers (Euler's Formula)

Lecture 4 1.3 Orthogonal Functions

Lecture 5 1.4 Orthogonal Functions - Part 2

Lecture 6 1.5 The Single Period Idea

Section 3: 2- Fourier Series

Lecture 7 1.6 Expressing the Idea in Mathematical Terms

Lecture 8 1.7 Finding out the coefficients a0, an and bn

Lecture 9 1.8 Some Observations on the findings (symmetry)

Lecture 10 1.9 An Example

Lecture 11 1.9.2 Example -2

Lecture 12 1.10 Complex Fourier Series - 1

Lecture 13 1.11 Complex Fourier Series - 2

Lecture 14 1.12 Review of Fourier Series

Lecture 15 1.13 Example - 3

Section 4: 3- Fourier Transform

Lecture 16 2.1 Fourier Transform - 1

Lecture 17 2.2 Fourier Transform - 2

Engineering Students (because the topic is included in Advanced Engineering Math),Physics Students,Math Students,Basically, anyone looking for some fun Fourier learning process :)