Complex Numbers for Electrical Engineering Students

What Every Engineering Student "Must Know" about Complex Numbers - Calculations, Operations, Formulas and Solving Rules

4.65 (31 reviews)
Udemy
platform
English
language
Engineering
category
Complex Numbers for Electrical Engineering Students
141
students
3 hours
content
Aug 2020
last update
$19.99
regular price

What you will learn

Definition and representation forms

Imaginary unit "j" and its square & cube

Converting rectangular to polar form

Purely real & purely imaginary numbers

Converting polar to rectangular form

Modulus, magnitude or amplitude

Rules of calculations (no matter the form)

Angle in radians and degrees

Multiplication and division operations

Addition and subtraction operations

Application to phasors, voltages, currents, impedance and complex power

Complex conjugate and finding negative of a complex number

Description

Kick start your Electrical Engineering abilities and overcome the most common roadblock to success in solving electrical circuits!

Complex Numbers course will provide you with necessary, yet often overlooked mathematical background, so much needed for every Electrical Engineering student. A basis that will help you with number of courses (no pun intended) you'll need to pass to get your Engineering degree. Understand the real hidden prerequisite behind phasors and A/C circuits analysis.

Get ready to zoom through your ee problems with confidence and nonchalantly solve for Voltage and Current phasors, equivalent Impedance and Reactive power compensation, to name a few...

I will reveal to you the critical concepts related to complex numbers: we will start from basics and introduce two representation forms, learn how to convert complex numbers, conjugate them, negate them, rotate them, flip them and perform necessary operations with them. From addition and subtraction to multiplication and division, no matter what their form is. Finally, I will teach you the application of complex numbers in Electrical Engineering through phasors, impedance and complex power.

The course is your track to obtaining mathematical skills you knew you won't be able to get away from, the moment your teacher mentioned A/C circuits! This course will take you from struggling with complexities to successfully applying complex numbers. It will help you become intimately familiar with fundamental tool in solving complex Alternating Current circuits.

So what else is in it for you?

You’ll get solutions to over 50 different problems, ever increasing in their difficulty so you are not left in the dust. This approach will take you from beginner to expert!

You’ll gain instant access to all 3 main sections of the course! In future, you will also have access to 2 extra sections that will be developed specifically for beginners to catch-up and advanced students to round-up their knowledge. In addition, after every lesson, an additional lesson will be provided containing exercise problems and questions - and of course answers and solutions to all of those.

The course is setup to quickly take you step by step, through the process of dealing with complex numbers in many different ways. It will equip you with the knowledge to handle and perform complex calculations and obtain solutions independently. You will be stunned as to how easy the complex numbers really are!

Don’t believe me? I offer you a full money back guarantee within the first 30 days of purchasing the course.

Here’s what you get with the course:

You’ll get access to the 3 main sections of the course that will teach you the fundamentals of complex numbers from the ground up. The course is supported with over 45 minutes of clear content that I walk you through each step of the way.

All at your fingertips instantly.

  • The course starts with the basics. You will get an in depth understanding of the fundamentals of complex numbers. Fundamentals are the most important part of building expert knowledge and skills. You will learn everything from what is number axis all the way up to different representation forms of complex numbers and conversions.

  • Next you’ll learn how to perform operations with complex numbers and how to apply multiplication to actually divide two complex numbers. You will be learning to handle imaginary unit "j" in every way: multiplication, division, squaring, cubing, finding reciprocal value and using it to rotate other complex numbers.

  • Once you’ve learned complex number operations, you are going to learn how to conjugate and negate complex numbers as well as how to apply those in formulas to solve your circuits.

  • Then you are going to learn how to use your complex numbers knowledge in real Electrical Engineering problems. Being able to apply complex numbers in calculation of phasor Voltages and Currents is a very important aspect when it comes to solving A/C circuits.

  • At this point you’ll be ready to start solving more complex problems involving finding equivalent Impedance. We will spend a great deal of time learning how to deal with series and parallel connection of Impedances through our knowledge of complex numbers.

  • Next you’re going to learn how to apply complex numbers to Complex Power and I will make connection with the real and imaginary components of Complex Power: Active and Reactive Power, as well as magnitude that is called Apparent Power.

  • Lastly you will gain access to the bonus resource - a "cheat-sheet" of formulas to help you in future prepare your Electrical Engineering exams.

Over this course's chapters you will learn:

  • How to interpret axes and complex plain

  • Representation fundamentals

  • Polar and rectangular representations

  • How to use imaginary unit "j"

  • Conversion between different representation forms

  • Operations with complex numbers

  • Dividing complex numbers using multiplication

  • Conjugation and negation

  • Application to phasor Voltages and Currents

  • Finding equivalent Impedances

  • What is Complex Power in A/C circuits

  • Complex number role in Electrical Engineering

What else will you get?

- Personal contact with me, the course instructor

- Lifetime access to course materials including ALL future additions, updates and improvements

- Understanding of how to masterfully compute complex number problems

- Downloadable resources to help you along the way

- Personally verified and edited captions in English (no inaccurate, automatically-generated captions)

This all comes under one convenient easy to use platform. Plus you will get fast, friendly, responsive support on the Udemy Q&A section of the course or direct message.

I will be here for you every step of the way!

So what are you waiting for? Sign up now and change your engineering world today!

Content

Course Introduction

Complex Numbers Course Introduction

Background Knowledge (Math Catch-up)

Real Number Axis
Imaginary Axis & Complex Plain
Vectors & Imaginary Unit "j"
Angles: Radians vs Degrees, Engineering Range

Complex Numbers

What are Complex Numbers?
Complex Numbers Exercises
Rectangular Form
Polar Form
Converting Polar to Rectangular
P to R Conversion Examples & Exercises
Converting Rectangular to Polar (old)

Operations with Complex Numbers

Addition and Subtraction
Multiplication
Division
Complex Conjugate
Negative of a Complex Number

Application of Complex Numbers in Electrical Engineering

Phasors: Voltages and Currents
Impedance
Complex Power

AC Circuits Derivations with Complex Numbers

Series AC Circuit - Voltage, Current and Power
Parallel AC Circuit - Voltage, Current and Power
Series RL AC Circuit Tutorial
Parallel RC AC Circuit Tutorial
Mixed RLC AC Circuit Tutorial
Two Sources AC Circuit Tutorial

Reviews

Giulio
December 22, 2021
The course is magnificent, the teacher extremely clear. He made it possible to render a "complex" topic easy to grab even to a naive student like me. Congratulation and please, Sasha, go ahead with your teaching. Thankyou
Andres
May 12, 2021
So far the explanations have been very precise and concise, which is exactly what most look for in any given course. Trying to avoid bloating the topics is essential for the understanding of any given course. A recommendation would be, maybe, the inclusion of a few more exercises to work with, even in the early topics, as to establish the knowledge even further. Really well done!!. This is a very satisfactory, EXCELLENT course. Absolutely recommended!.
Taner
March 19, 2021
I found Sasha's teaching skills in this short course are excellent and 5 star. Sasha takes you on a journey from the definition of a complex numbers to the deriviation of formulae needed for A/C circuit calculations. This really is a must do course for electrical engineering.
Edward
October 2, 2019
An excellant way to learn complex numbers and/or refresh. For me it is a refresher. I have been out of school for years now; I will be returning to University to complete my BSEE. Having this course has jump started my efforts.
Raul
January 9, 2019
Good explanation Thank you so much Sasha you will help many students that they would like to finished there engineering dream career. Raul Boticario
Eric
January 3, 2019
Looks great! Complex numbers in this course are well presented. There is just the right amount of details so I can go about doing my A/C circuit assignments. Things just make more sense now!
Vijay
January 1, 2019
The course is down to the point, very relevant and clear. I needed a course to help me catch up with my Electrical Circuit Theory exam, but without going too much into unnecessary details. This course gave me exactly what I wanted to learn. I wish there were more courses like this one. Great job! Thanks heaps :)

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2080056
udemy ID
12/11/2018
course created date
12/22/2020
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