Exam Revision Flashcards
Define the complex trig functions
Give the definition of a metric space
Give the definition of compactness
Give the CR equations
Give the definition of a Mobius transformation
What does z^{-1} do as a Mobius transformation
What does the Caley Map do
Define the cross ratio
Define H2H
Define D2D
Define pointwise convergence
Define uniform convergence
Give the tests for uniform convergence
Give the M Test
Give the FTC
Give CIF
Give CIF for derivatives
Give Morera’s Theorem
Give Liouville’s Theorem
Give Max Mod
Give the general form of Cauchy’s Theorem
Give the general form of CIF
Give Cauchy’s Residue Theorem
Give the rule for residues of linear combinations
Give the Cover up rule for a pole of order 1
Give the rule for Simple zero on denominator
Give the rule for poles of higher order
Give Jordan’s Lemma
Give Indentation Lemma
Give the argument principle
Give Rouche
