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 SUPPORT Consider subscribing, liking, or leaving a comment, if you enjoyed the video or if it helped you understand the subject. It really helps me a lot. 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 SOCIAL ► Follow me on Youtube: http://bit.ly/1NQhPJ9 ► Follow me on Twitter: https://twitter.com/The_MathCoach HASHTAGS #TheMathCoach #ComplexAnalysis