Complex Numbers 2/4 : Addition Subtraction Multiplication Division

In this video I continue with my tutorials on Electromagnetism to Optics which is pitched at university undergraduate level. I have intended for a long time to record videos which describe the transition made from classical electromagnetism to optics. In many respects these videos will cover 'wave' optics. I devote much time to discussing the complex exponential representation of waves, Maxwell's Equations, the wave equation etc.

Specifically here, I derive

I hope it's of use!! Thank you for watching and I hope that this matches your requirements. Please feel free to provide feedback via comments and share with your friends.

[jimmara]

hey, thanks for the tutorials, i like the way you explain abstract ideas in terms of daily realities. i am just returning to science after a 15 year absence, and all your videos are helping me. I hope you are considering a career in education....you have a gift for it. 

[VK]

I though that y=Acos@ and x=Asine@, please explain

[FireJon]

In Argands diagram is Z the third orthogonal direction kind of like (x, y, z)?