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M324: Complex Analysis

This class was created by Brainscape user Kelsey Everts. Visit their profile to learn more about the creator.

By: Kelsey Everts
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Decks in this class (19)

Chapter 1: Complex numbers
Common triangle inequality,
Less common triangle inequality,
Z bar z
11  cards
Chapter 1: Section 12: Sets in the complex plane
Epsilon neighbourhood of a comple...,
An epsilon neighbourhood of a com...,
A deleted neighbourhood of z_0 is...
14  cards
Ch 2: Analytic functions, Sec 15-16: Limits
Formal definition of a limit for ...,
Uniqueness of complex limits,
Limits of complex numbers means w...
4  cards
Section 21-22: Cauchy-Riemann equations
Definition of cr aka theorem page...,
Theorem page 66conditions for f z...,
Formal definition of limit of mul...
4  cards
Sec: 25-27 Analytic functions, Harmonic functions
Definition of function f analytic...,
Definition of function f analytic...,
Entire function
9  cards
Chap 3: Elementary functions, Sec 30: The Exponential Function
E z is defined as what happens in...,
E z,
Arg e z
7  cards
Section 31- 32, The Logarithmic function
Let 0 not z in c if e w z then,
Multiple valued logarithmic funct...,
Clearly e log z
11  cards
Sec 33: Branches and derivatives of logarithms
0  cards
Sec 35-36 The Power function, 37 Trig functions
Z c called,
Z c,
Frac 1 z c
12  cards
Chapter 48-49 Anti-derivatives
Thm pg 141 w preamble conditions ...,
Cauchy goursat theorem
2  cards
chp 4 integrals
Cauchys inequality,
Louiville thm,
Proof of louiville thm guide
7  cards
Sec 52, Simply conencted domains
Simply connected domain,
Cauchy goursat theorem,
How does cauchy goursat theorem a...
11  cards
Ch5: Series part 1
Limit of sequence,
Bounded sequence,
Thm connect bounds of sequences
9  cards
Series part 2
Taylor s theorem,
When does the taylor series of a ...,
Maclaurin series for frac 1 1 z
6  cards
Series part 3
When does a seires of complex num...,
What is the circle of convergence...,
Power seires conv outside circle ...
9  cards
Chaper 6: Residues and Poles
Isolated singularity and singular...,
Residue,
Residues and integrals
20  cards
Chapter 7: Applications of the residue theorem
Cauchy pv of th eintegral int_inf...,
Rel betwen int_infty infty f x dx...,
Lemma when does func which 2 cond...
3  cards
Chap 4 integrals and intro to contours
Pg 126 def of contour itnegralwhe...,
Is the value of a lien integral 0...,
Modulus and integrals inequality
8  cards
General
Formal limit def,
Partial y def,
Partial x def
3  cards

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M324: Complex Analysis

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