Uploaded June 2017 | Updated September 2026, 2 weeks ago
In this video, I describe 3 techniques behind finding residues of a complex function: 1) Using the Laurent series, 2) A residue-finding approach for simple poles, and 3) A residue-finding approach for non-simple poles.
I also prove/verify these techniques, which are ultimately going to be used to calculate complex integrals (and even real integrals) when applying the Residue Theorem.
Questions/suggestions? Let me know in the comments! Also, yes, I spelled 'technique' wrong at 8:50. Pls forgive my transgression.
Prereqs: The playlist so far (the first 7 videos, especially the Laurent series and residue theorem one): youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB
Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMNHN4YjNRZ3NfNzA/view?usp=sharing&resourcekey=0--Hv2rTFHVvF0qSYeq0_dnw
Support my Patreon: patreon.com/user?u=4354534
In this video, I describe 3 techniques behind finding residues of a complex function: 1) Using the Laurent series, 2) A residue-finding approach for simple poles, and 3) A residue-finding approach for non-simple poles.
I also prove/verify these techniques, which are ultimately going to be used to calculate complex integrals (and even real integrals) when applying the Residue Theorem.
Questions/suggestions? Let me know in the comments! Also, yes, I spelled 'technique' wrong at 8:50. Pls forgive my transgression.
Prereqs: The playlist so far (the first 7 videos, especially the Laurent series and residue theorem one): youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB
Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMNHN4YjNRZ3NfNzA/view?usp=sharing&resourcekey=0--Hv2rTFHVvF0qSYeq0_dnw
Support my Patreon: patreon.com/user?u=4354534
