Complex analysis MAS332

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

Decks in this class (12)

Chapter 12: The residue theorem
Singularities and integral _ f z dz,
Example evaluate _ dz z 2 z 3 whe...,
Example evaluate _ dz z 4 1 where...
16  cards
Chapter 11: laurents Transform
Definition 11 isolated singularity,
Example1 sin zhas singularities,
Example1 z 1 z 2 has singularities
34  cards
Chapter 10: Taylors theorem
Thm 101 taylor s theorem,
Example find the taylor series ex...,
1 1 t
14  cards
Chapter 9: Cauchys integral formula
Theorem 91 deforming contours,
Theorem 92 cauchy s integral formula,
Cauchys integral formula forms
19  cards
chapter 8: Cauchys theorem
Thm 81 cauchys theorem,
Primitive and cauchys theorem,
Examplef z sin 3 z 1 z 3
12  cards
Chapter 5: DIfferentiation
Def of a limit,
Limit of z z as z tends to 0,
Inequalities
33  cards
Chapter 7: More on int over para curve of f
Def 71primitive,
Thus if is any path in d given by...,
If _ is a contour and
10  cards
Chapter 6: Power Series
Constructing,
Thm 61increasing sequence of real...,
Thm 62 comparison test
31  cards
Chapter 4: Definitions about sets
Def neighbourhood,
Def 42 open set,
Example disc d z c z 1
11  cards
Chapter 3: Simple Integrals Of Complex Valued Functions
Parametrically defined curve,
E it,
Def curve defined by a continuous...
23  cards
Chapter 2: Special Functions
Exp z as a power series defined e...,
Theorem 22properties of the expon...,
Cosh z
25  cards
1
Complex plane,
When can we define inequalities i...,
Dealing with complex numbers
32  cards

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Complex analysis MAS332

  • Class purpose General learning

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