Complex Analysis with PYQs | Mathematical Physics 02 | Physics | IIT JAM 2023

Hello Bacchon!! Welcome to another contribution for your journey of competition, IIT JAM & CSIR NET. This Channel PW IIT JAM & CSIR NET will help you throughout your journey of IIT JAM & CSIR NET with top, experienced & passionate teachers who are totally dedicated towards their honesty of showering knowledge. In this lecture, you will learn everything you need to know about Complex Analysis. Keeping it exam (IIT JAM 2023) centric, it is divided into three major sections: Algebra of Complex numbers, Complex function & its derivative, Power Series Expansion. This is a one shot video covering Basics and advanced part..
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Timestamps -
00:00 Introduction
02:06 Complex Numbers
03:41 Cube roots of unity
07:43 Representation of Complex numbers
12:07 Complex numbers in Polar form
15:41 Principal value of arg(z)
25:55 Properties of Complex numbers
31:05 PYQs on Algebra of Complex numbers
42:20 Complex Functions
43:51 Derivative of Complex Function
56:52 Cauchy-Riemann equations
1:08:27 PYQs
1:15:38 Analytic Functions
1:24:18 Cauchy-Riemann equation example
1:28:48 Harmonic function
1:33:07 Power Series Expansion
1:37:15 Taylor Series Expansion
1:40:56 PYQs on Taylor Series

📌 Mathematical Methods: Physics | IIT JAM 2023:    • Mathematical Methods: Physics | IIT JAM 2023  

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