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### Topics - Min Gyu Woo

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##### MAT334--Lectures & Home Assignments / Sample Final Solutions
« on: December 11, 2018, 08:38:32 PM »
Could the prof go over the solutions for the sample final? I think some of them are wrong...

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##### MAT334--Lectures & Home Assignments / Do we have to know Deformation Theorem for the test?
« on: November 22, 2018, 11:42:45 AM »
It's not in the textbook but was covered in lecture. Also, most of those questions can be solved using other tactics correct?

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##### MAT334--Misc / Cheating during the quiz
« on: November 02, 2018, 12:38:21 AM »
Hello Professor,

Could you tell the TAs to actually punish people who cheat? Some TAs seem to be either oblivious or ignoring the fact that a large portion of the class discuss answers.

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##### MAT334--Misc / Changing the Scope of the test
« on: October 17, 2018, 04:50:05 PM »
Professor,

Don't you think it's a little bit late to change the coverage of the test to include 2.2 all of a sudden?

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##### MAT334--Lectures & Home Assignments / Chapter 1.6 PG 63 ex Example 8
« on: October 16, 2018, 10:17:54 PM »
Can someone explain how to use the triangle inequality to end up with

$$|z^2+4|\geq |z|^2-4$$

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##### MAT334--Lectures & Home Assignments / Chapter 2.1 PG 80
« on: October 16, 2018, 08:32:30 PM »
There's this little portion of text before the defining Laplace's Equation that I am confused about.

"A word of warning is merited here: Not every function $u(x,y)$ is the real part of an analytic function".

If we always define $f = u +iv$, doesn't this guarentee that $u(x,y)=\text{Re}(f)$?

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##### MAT334--Lectures & Home Assignments / Section 1.4 Example 8
« on: September 20, 2018, 08:15:41 PM »
Can someone prove this using the definition of limits for sequences:

$\lim_{n\rightarrow\infty} (1/n)(\cos{(n\pi/4)}+i\sin{(n\pi/4)}) = 0$

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##### MAT334--Lectures & Home Assignments / Textbook error?
« on: September 14, 2018, 02:41:21 PM »
At the bottom of the page 19, it states that

Re$[(\overline{z - i\alpha})(z-s)]=0$

to show that the two segments are perpendicular.

However, on the next page it continues the proof by writing

$2$Re$[(\overline{z - i\alpha})(z-s)]=0$

Where did the $2$ come from?

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##### MAT334--Lectures & Home Assignments / First example in class
« on: September 14, 2018, 11:28:19 AM »
For the example with $z^3 - 3z$

Where did the $M$ come from?

Also what limit were we computing with the function $f(z) = z^3 - 3z$?

Also why is $|z^2 +zz^{*}+z^{*2}|$ less than or equal to $3M^2$ ?

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