Algebra 82 - Complex Functions

In previous lectures we have seen that quadratic equations that have no solutions when only real values are considered, do have solutions when complex numbers are allowed as input and output values. In this lecture, we check the complex solutions to a quadratic equation using the complex arithmetic operations we have studied. We then show methods of creating graphs that allow us to visually represent the characteristics of this complex function. These include a novel animated graphing technique developed for this lecture that provides an intuitive understanding of a complex function's behavior.

[hypeman]

Can i just say, this is the best education channel. I dont know why you dont have more viewers but please continue to produce brilliant work!

[dr.cherylavila]

Check out the domain coloring starting around minute 15. Mathematical beauty at it's finest. Great work professor!

[achrafajrhourh]

mmm, really, you are one of my best professors : )))

[visualgebra]

Hey, Professor! This topic is my favourite but still confusing.
Thank U for this topic my dear Professor. 🇮🇳😘

[gloystar]

So organized and informative! Excellent video. Please make lectures in the future about calculus too, including Newton's Method and Newton's Interpolation.

[pinklady]

You are one of my favourite channels for mathematics. Thank you for making tutorials. I look forward to more of your videos.

How long did it take you to make this video? Did you make it all by yourself?

[AbuSayed-ervs]

Hello Prof! Pleasure to have you back with Awesome, Amazing Visual videos...

[AbuSayed-ervs]

Plz make a video about Brunch cut and Riemann surfaces....