In this course, you will learn about Complex Analysis for CSIR NET, GATE, M.Sc., B.Sc. and B.Tech. You will learn about complex numbers, complex functions, Cauchy Riemann’s Equation, Liouville’s Theorem, Rouche’s Theorem, Schwarz Lemma, Identity Theorem, Open Mapping Theorem, Cauchy’s Residue Theorem, Taylor’s Theorem, Laurent’s Theorem, Mobius Transformation, Jacobian of transformation, and much more.
Overview
Syllabus
Lec-1|| Complex number, Complex Function|| CSIR NET GATE B.Sc. M.Sc. B.tech, Mathematics.
Lec-2|Complex: Analytic Function, Cauchy Reimann Equation, Necessary and Sufficient Condition| Maths.
Lec-3|| Complex: Harmonic function, L'Hospital Rule, Fundamental Theorem of Algebra || CSIR NET GATE.
Lec-4|| Complex: Cauchy Integral, Liouville's, Rouche's Theorem| CSIR NET GATE M.Sc. B.Sc. B.Tech ||.
Lec-5| Complex Analysis, Cauchy Integral Formula, Rouche's Theorem |CSIR NET GATE B.Sc. M.Sc. B.Tech.
Lec-6|| Complex Analysis|Schwarz Lemma, Identity Theorem, Open Mapping Theorem|| CSIR NET GATE M.Sc..
Lec-7|| Complex Analysis, Singularity, Isolated, Pole, Branch, Removable, Essesntial |CSIR NET GATE.
Lec-8|| Complex Analysis, Power Series, Radius of Convergence| CSIR NET GATE, B.Sc., M.Sc., B.Tech||.
Lec-12|| Complex Analysis, Example of Cauchy Residue Theorem |Revision|| CSIR NET GATE B.Sc. M.Sc.||.
Lec-11|| Complex Analysis, Residues, Cauchy Residue Theorem|| Revision|| CSIR NET GATE B.Sc. M.Sc.||.
Lec-10|| Complex Analysis, Example of Taylor and Laurent Theorem|CSIR NET GATE B.Tech., B.Sc. M.Sc.|.
Lec-9|| Complex Analysis, Taylor's and Laurent Theorem|| CSIR NET GATE, B.Sc., M.Sc., B.Tech ||.
Lec-15|| Complex Analysis, Mobius or Linear Transformation|| Revision|| CSIR NET GATE Mathematics||.
Lec-14|| Complex Analysis Conformal Mapping/Transformation|| Revision|| CSIR NET GATE Mathematics||.
Lec-13| Complex Analysis, Mapping, Jacobian of Transformation|| Revision| CSIR NET GATE B.Sc. M.Sc.|.
CSIR, NET, GATE: Important Topics and Related Questions of Complex Analysis: Mathematics.
CSIR_Complex Analysis_Solved Ques_ Dec-2017, Q-35 (Part-B).
CSIR_Complex Analysis_Solved Ques_ Dec-2017, Q-33 (Part-B).
CSIR_Complex Analysis_Solved Ques_ Dec-2017, Q-34 (Part-B).
Complex Analysis_Dec-2016 (Solved Questions no 33, 34, 35, 36), Study Material of CSIR UGC NET Maths.
Complex Analysis_June 2016 (Solved Questions no 33, 34, 35), Study Material of CSIR UGC NET Maths.
Complex Analysis_ June 2015 (Solved Questions no 33, 34, 35) Study Material of CSIR UGC NET Maths.
Complex Analysis_December-2015 (Solved Questions no 34, 37, 40).
Power Series, Radius of Convergence, Entire Function Dec 2012, Study Material of CSIR UGC maths.
Complex Analysis, CSIR NET Mathematics, June 2014, Solved Questions No. 37, 38.
Correction in Complex Analysis, Dec 15, Question No. 40 Study Material of CSIR UGC NET Maths.
Complex Analysis, December 2014, Solved Questions No. 38, 40, Study Material of CSIR UGC NET Maths.
Schwarz Lemma, (Part-C, CSIR NET, June 2014) Q-83, online Study Material of CSIR UGC NET Maths.
Singularities, Poles, Meromorphic function, (Dec 2015, Part-C) Q-88 Study Material of CSIR UGC maths.
Identity Theorem, (Dec 2015, Part-C) Q-86, Complex Analysis Study Material of CSIR UGC NET Maths.
Open Mapping Theorem, Part-C, Dec 2016, Q 80, Complex analysis. Study Material of CSIR UGC NET maths.
Schwarz Lemma, Polymorphic function, Part-c, Dec 2016, Q 82, Study Material of CSIR UGC NET Maths.
Complex Analysis, Liouville's Theorem, June 2016, Q-81, Part-C, Study Material of CSIR UGC NET Maths.
Poles, Singularities, Part C, Dec 2016, Q-79, Complex Analysis, Study Material of CSIR UGC NET Maths.
Analytic Function, (Q-80, Part-C, Dec 2017) Caucy Reimann Equ, Study Material of CSIR UGC NET Maths.
Lec 1A: Complex Analysis // CSIR NET Maths// Cauchy Integral Formula// All Questions (2012-2018).
Complex Analysis/Demo-CSIR/GATE/Crash Course/Excellent Educademy/30 hrs lectures +10 Tests for each.
Feedback of Crash Course by Students/Excellent Educademy/CSIR/NET/GATE/IIT JAM/Ph.D: Best Platform.
Real Analysis/Demo-CSIR/GATE/Crash Course/Excellent Educademy/30 hrs lectures +10 Tests/each_Lec-12.
Target Dec 2020. CSIR NET Mathematics, Full Course.
Free Demo Test:Best Test Series Level wise: CSIR NET Mathematics 2021 First time on Youtube-15/05/21.
Taught by
Dr Vivek Kumar Srivastav.
