Complexer then complex

Not sure either. Maybe apply residue theorem if w is inside C?

>>8284104
This, they want you to consider the two cases of w inside C or w outside C

>>8284090
>Complexer then complex
No, this is merely complex.
Lrn2hypercomplex fgt pls

Eng2092?
Btw, Cauchy's Integral Formula part 2.

What did you get for question 2 dude?

>>8284108
Or just use Cauchy's Integral Formula.

>>8284090
Isn't that just what we covered in the tute?
>>8284149
WHAT THE FUCK. Not even op but christ.
>>8284157
Don't know how to parametrize it yet.

>>8284196
Don't think you need to parametrize it, just use path deformation and apply Cauchy's Integral Formula

>>8284209
Just checked lecture notes and you seem right.
Thanks a lot mate, seems every question just got a whole lot easier.

Q2 was easy, second derivative, treat as two loops

C1 + C2 = 4piei

>>8284217
Second derivative? Don't you just break it into two loops and apply cauchy's integral formula to both? I got -4pi*i

>>8284090
I got 2pi*icos(w) - anyone else?

No, because if you don't take the derivative you get f(x)/(1-1)^2 which is undefined, recheck your signs

I got 2pie * i*cos (w) when evaluating z = w

Look at last page of lecture 8 notes

>>8284262
Do you actually need to use residue theorem? Cause I just applied cauchy's integral formula and got the same result

Keep in mind that the pole at w in the integral isn't of order 2 when sin(w) = 0.

So you need to consider the 3 cases:

1. w outside of U

2. w inside of U and sin(w) =/= 0

3. w inside of U and sin(w) = 0.