ME565 Lecture 2: Roots of unity, branch cuts, analytic functions, and the Cauchy-Riemann conditions

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ME565 Lecture 2
Engineering Mathematics at the University of Washington

Roots of unity, branch cuts, analytic functions, and the Cauchy-Riemann conditions

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I really like how you add this cool stuff that you can do using math in your lectures. Thank you so much!

nandanm

This is super cool and brilliantly taught. Top marks for Prof Brunton on how to give a great lecture.

gpat

@ 17:44 says "e to the m over n log z" meaning "log *of the length of* z", I assume.

eswyatt

At 47:00, the way you define the derivative, you assume that f(z) is linear. Why is this?

evanparshall

Hello Sir, the links of the first 3 homeworks are death. Could you update those?

ErenGuerrier

I have this tendency think of it like a vector, where: The real part is the magnitude, and imaginary part is the direction, represented in the x, c plane. I don't know if that's appropriate though.... The math should translate into vector math, correct? Sorry if I'm bothering you, you can just ignore me if you like, lol.

paulisaac

16:00 why would you use 'log' instead of 'ln' if its base is 'e'?

ArifYunando

You say multivalued complex function which is a contradiction in terms.

michaellewis

I like to eat my broccoli and go to the gym. But, I don't like complex analysis at all, but I suppose they're part of a healthy mathematical diet :P

I just want to learn how to do the inverse Laplace so I don't have to memorize a table again honestly though :P

thomasjefferson

The guy that brought up the concept of tachyon sure have to be an INDIAN

bishalbasak

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