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Complex Analysis and Applications

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

By: Caleb Pleavin
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Decks in this class (14)

1) Complex functions, derivatives and integrals
What is the definition of an open...,
What is an open set and closed set,
What is the definition of a path ...
27  cards
2) Power series
What are the tests for absolute c...,
What is the cauchy hadamard test ...,
What is the leibniz test for alte...
28  cards
3) Cauchy’s theorem & Cauchy’s formula
How can the winding number of a c...,
What are the properties of the wi...,
What can be said about the parame...
11  cards
4) Taylor series and Laurent series
What does the cauchy taylor theor...,
What does it mean for a function ...,
What does cauchy s estimate say a...
13  cards
5) Cauchy’s Residue Theorem
What are the three types of isola...,
What is an isolated singularity o...,
What does it mean for a function ...
11  cards
6) Applications of the residue theorem
What ensures that the improper in...,
What is the general method to eva...,
How can cauchy s residue theorem ...
5  cards
7) Recap
What are the properties of modulu...,
How are modulus and argument gene...,
What is euler s formula
9  cards
8) Real Definite Integrals By Contour Integration
What is a d shaped contour,
What is the general method for ev...,
What is the general method for ev...
6  cards
9) The functions ln(z) and z^α
What does the notation x i0,
What are the two common choices o...,
What are branch cuts and branch p...
6  cards
10) Real Integrals By Contour Integration, continued
What is a dumbbell contour,
What is keyhole contour with the ...,
What is the general method for ev...
5  cards
11) Analytic Continuation
What is the definition of analyti...,
What happens if a function f z is...,
What is the uniqueness property o...
8  cards
12) The Gamma Function Γ(z)
What is the gamma function,
What are some key properties of t...,
What is the reflection formula fo...
4  cards
13) Integral Transforms
What is an integral transform wit...,
What is the complex fourier trans...,
What is the fourier cosine transf...
5  cards
14) Solving PDEs using Integral Transforms
What is the generic method for so...,
What is the generic method for so...,
What is the generic method for so...
4  cards

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Complex Analysis and Applications

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