Fourier and Laplace Transforms

Fourier and Laplace Transforms, available at $79.99, has an average rating of 4.55, with 53 lectures, based on 109 reviews, and has 1402 subscribers.

You will learn about Gain an Intuitive Understanding of the Fourier and Laplace Transforms. Understand the Core Mathematics of Transforms. Build Intuition using a Unique 3D Graphical Approach. Matlab Simulation Files. A Deeper Mathematical Understanding. 196 Course Slides in Colour and Black and White for Printing. Subtitles Manually Updated in English and Converted to 78 Different Languages. This course is ideal for individuals who are This is a course targeted towards those who really want to understand the Fourier and Laplace Transforms at a deeper level. It is particularly useful for This is a course targeted towards those who really want to understand the Fourier and Laplace Transforms at a deeper level.

Enroll now: Fourier and Laplace Transforms

Summary

Title: Fourier and Laplace Transforms

Price: $79.99

Average Rating: 4.55

Number of Lectures: 53

Number of Published Lectures: 53

Number of Curriculum Items: 53

Number of Published Curriculum Objects: 53

Original Price: $19.99

Quality Status: approved

Status: Live

What You Will Learn

Gain an Intuitive Understanding of the Fourier and Laplace Transforms.
Understand the Core Mathematics of Transforms.
Build Intuition using a Unique 3D Graphical Approach.
Matlab Simulation Files.
A Deeper Mathematical Understanding.
196 Course Slides in Colour and Black and White for Printing.
Subtitles Manually Updated in English and Converted to 78 Different Languages.

Who Should Attend

This is a course targeted towards those who really want to understand the Fourier and Laplace Transforms at a deeper level.

Target Audiences

This is a course targeted towards those who really want to understand the Fourier and Laplace Transforms at a deeper level.

This course is an introduction to the Fourier and Laplace Transforms. I introduce this subject both geometrically to give a good intuition using Matlab simulations and an online graphical calculator and also in a more formal mathematical way. The equations are broken down into small elements and an intuitive 3 dimensional graphical method is used in order to build intuition and finally understanding of the mathematics. This 3D intuitive learning approach is also backed up by some solid mathematics. This course has been created in order to give you a core understanding of the methods of mathematical transforms. Some sections are quite advanced and some real thinking is required. Your time and dedication will be rewarded with a deeper understanding of this beautiful subject.

Subtitles manually updated in English and converted to 78 different languages.

I can assure you that if you are willing to take the time to comprehend the mathematics then the effort will be rewarded ten fold. For example , Fourier Transform (FT) , Discrete Time Fourier Transform (DTFT) , Discrete Frequency Fourier Transform (DFFT) , Discrete Time and Frequency Fourier Transform (DTFFT) , the Discrete Fourier Transform (DFT), the Fast Fourier Transform (FFT) , discrete versions of the Laplace Transform (Z-transform). How are they all related ? By the end of this course you will understand where they all come from and how they are all related to one another. This is not a course about the practical implementation of transforms. This course is about understanding the core subject at a deeper mathematical level. This course is for those who want to truly understand this subject. If you want a new shiny car just to drive then this is not the course for you. If you want to open up the bonnet and take the engine apart to see how it works then this is definitely the course for you.

Course Curriculum

Chapter 1: Fourier Series

Lecture 1: Introduction

Lecture 2: Course Slides

Lecture 3: Derivation of Taylor Series

Lecture 4: Euler's Identity and the Complex Exponential

Lecture 5: Derivation of the Fourier Series Part 1

Lecture 6: Derivation of the Fourier Series Part 2

Lecture 7: Derivation of the Fourier Series Part 3

Lecture 8: Fourier Series Approximation to a Square Wave

Lecture 9: Time and the Complex Exponential

Lecture 10: Phase Shift

Lecture 11: Course Book

Chapter 2: Complex Fourier Series

Lecture 1: Complex Fourier Series

Lecture 2: Complex Fourier Series Example

Chapter 3: Fourier Transform

Lecture 1: Derivation of the Fourier Transform

Lecture 2: Fourier Transform Graphical Intuition

Lecture 3: Square Wave Graphical Transform

Lecture 4: Fourier Transform Symmetries

Lecture 5: Unit Impulse

Lecture 6: Delayed Impulse

Lecture 7: Unit Step

Lecture 8: Fourier Transform Example

Lecture 9: Fourier Transform Linearity

Lecture 10: Time and Frequency Scaling

Lecture 11: Fourier Transform Duality

Lecture 12: Time and Frequency Shifting

Lecture 13: Convolution

Lecture 14: Convolution Time and Frequency

Lecture 15: Differentiation in Time and Frequency

Lecture 16: Integration in time and Frequency

Lecture 17: Fourier Transform of Sine and Cosine

Lecture 18: Convolution with Shifted Impulses

Lecture 19: Fourier Transform Properties Review

Chapter 4: Laplace Transform

Lecture 1: Laplace Transform Intuition

Lecture 2: Laplace Transform as a Power Series

Lecture 3: Integral Transform Derivation of the Laplace Transform

Lecture 4: Inverse Laplace Transform

Lecture 5: Laplace Transform of the Unit Step

Lecture 6: Laplace Transform of Real Exponential

Lecture 7: Laplace Transform of the Complex Exponential

Lecture 8: Laplace Transform of Sinusoids

Lecture 9: Laplace Transform Shifted Sinusoids

Lecture 10: Laplace Transform Linearity

Lecture 11: Laplace Transform of a Derivative

Lecture 12: Laplace Transform of an Integral

Lecture 13: Initial Value Theorem

Lecture 14: Final Value Theorem

Lecture 15: Lower Limit of Integration

Lecture 16: Goodbye

Chapter 5: Appendix Section

Lecture 1: Scalar (Dot) Product Component Form

Lecture 2: Orthonormal Basis

Lecture 3: Integration by Parts

Chapter 6: The Next Course on Discrete Transforms

Lecture 1: Discrete Fourier Transforms (FT , DFT , DTFT , DFFT, FFT ) HELP

Lecture 2: Fast Fourier Transform

Instructors

Ross McGowan
Applied Mathematics and Computer Science Educator

Rating Distribution

1 stars: 2 votes
2 stars: 1 votes
3 stars: 9 votes
4 stars: 32 votes
5 stars: 65 votes

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