Cauchy's Residue Theorem with Examples | Complex Integration | Complex Analysis #16

Cauchy's Residue Theorem and examples on how to use it to solve complex integrals when you have isolated singularities in complex analysis.

Cauchy's Residue Theorem with Proof: https://www.youtube.com/watch?v=EonaTMQrZCw&list=PLraTC6fSWOiptqOd_rMhFk6mZM30l7SqQ&index=17

The video will include concepts as:
► Theorem: Cauchy's Residue Theorem
► Definition: Residue of a function
► How to determine the Residue
► Examples: Determine Integrals with Cauchy's Residue Theorem

LINK TO COMPLEX ANALYSIS PLAYLIST
https://youtube.com/playlist?list=PLraTC6fSWOiptqOd_rMhFk6mZM30l7SqQ

LINK TO CANVAS
https://drive.google.com/file/d/1t7TiwLy-JUvDKTth_VAMIa2io9hsx9_J/view?usp=sharing

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TIMESTAMPS
00:00 - 00:23 Introduction
00:23 - 01:02 Cauchy's Residue Theorem
01:02 - 01:40 Definition of a Residue
01:40 - 02:48 How to find a Residue
02:48 - 05:10 Example 1: cos(z)/z
05:10 - 06:00 Example 2: cos(z)/(z-1)
06:00 - 07:17 Example 3: (1-2z)/z(z-1)
07:17 - 09:24 Example 4: (2z + 1)/z(z-1)^2
09:25 - 10:16 Outro

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Видео Cauchy's Residue Theorem with Examples | Complex Integration | Complex Analysis #16 канала TheMathCoach