Exam Revision Flashcards
1
Q
Define the complex trig functions
A
2
Q
Give the definition of a metric space
A
3
Q
Give the definition of compactness
A
4
Q
Give the CR equations
A
5
Q
Give the definition of a Mobius transformation
A
6
Q
What does z^{-1} do as a Mobius transformation
A
7
Q
What does the Caley Map do
A
8
Q
Define the cross ratio
A
9
Q
Define H2H
A
10
Q
Define D2D
A
11
Q
Define pointwise convergence
A
12
Q
Define uniform convergence
A
13
Q
Give the tests for uniform convergence
A
14
Q
Give the M Test
A
15
Q
Give the FTC
A
16
Q
Give CIF
A
17
Q
Give CIF for derivatives
A
18
Q
Give Morera’s Theorem
A
19
Q
Give Liouville’s Theorem
A
20
Q
Give Max Mod
A
21
Q
Give the general form of Cauchy’s Theorem
A
22
Q
Give the general form of CIF
A
23
Q
Give Cauchy’s Residue Theorem
A
24
Q
Give the rule for residues of linear combinations
A
25
Give the Cover up rule for a pole of order 1
26
Give the rule for Simple zero on denominator
27
Give the rule for poles of higher order
28
Give Jordan's Lemma
29
Give Indentation Lemma
30
Give the argument principle
31
Give Rouche
