Complex Analysis - Line Integrals

[marquez]

You are a great teacher - much better than my lecturer who doesn't explain things clearly.

[Myrslokstok]

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1. Ritvik Kahrkar
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2. JMT
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3. MIT
4. Kahn academy
5. IIT
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6. Other kind off OK stuff

Thanks your videos are top off the line in a class off them selfes!

[ChintanMeena]

@ 2:58 .. it is not summation of each points but it is summation of Delta V (small increments ) if u add v1, v2, v3, v4 ... your answer will tend to infinity ..


THANKS FOR AWESOME VIDEOS Man ...

[uhavebeen]

10:35 How is modulus K equal to the real part of the integral of g(t)? Some clarification as to how you got that would be appreciated

[alexzapien]

At @20:25 he mentions that the result will be very helpful in other proofs, does anyone know which videos he uses this result? I can't seem to find it in his collection of complex analysis videos.

[mindlessambience]

Around 3:10, you describe the line integral as being the summation of an infinite number of v's (v1 + v2 + .... v(infinity))....where the v's are the complex function evaluated at each point along the line.

Shouldn't the sum of these v's be multiplied by the infinitesimal lengths of each dz?

When you think of integration on the real line, the definite integral is an infinite sum of the v's (or f(x)'s with x as the independent variable), but each v (or f(x)) is multiplied by dx.

[comprehensiveboy]

The inequality at 6.34. The one on the right is a sum of only positive values so if the one on the left could have some kind of negative values as well as positive in the integral sum so it couldn't be bigger, but could be smaller, than the one on the right when you take the modulus if the whole sum, is that intuitively correct?