Contour Integral | Contour Integration Complex Analysis | Contour Integration Examples | Residue

ENGINEERING MATHEMATICS-2 UNIT 5
BAS203
COMPLEX VARIABLE-INTEGRATION
LECTURE CONTENT:
.
COMPLEX VARIABLE INTEGRATION
ENGINEERING MATHEMATICS-2 (MODULE-5)
LECTURE CONTENT:
Contour Integral in complex analysis, Contour Integral examples, Contour Integration in hindi, Contour Integration method, Contour Integration Questions, Contour Integral problems, Contour Integral types, Contour Integration types, Contour Integral complex analysis, Cauchy Residue Theorem, Cauchy Residue Theorem Solved Problems, Residue Theorem, Cauchy's Residue Theorem, Cauchy Residue Formula, example of cauchy residue theorem, problem on residue theorem, Residue at a Pole, Residue at Infinity, Residue at Pole of Order m, Residue Examples, Residue at singularity, Residue at z=infinity, Residue at simple Pole, Residue at essential singularity, residue complex analysis, residue problems, examples of residue, problems on residue, residue examples, Residue problems in complex analysis, Residue problems with solutions, residue formula for simple pole, residue formula for repeated roots, residue formula, Residue definition in complex analysis, Residue definition, definition of Residue, engineering mathematics 2, aktu math channel.
Engineering Mathematics 2
Engineering Mathematics-II
KAS203T
KAS103T
PLAYLIST LINKS:
1. Objective Question Mathematics:
• Engineering Mathematic...
2. Mathematics 2 (Module-1) Differential Equation
• Basics of differential...
3. Mathematics 2 (Module-2) Multivariable Calculus
• Improper Integral | Im...
4. Mathematics 2 (Module-3) Fourier Series
• Infinite Series | Conv...
5. Mathematics 2 (Module-4) Complex Analysis (Differentiation)
• Complex Variable || Ba...
6. Mathematics 2 (Module-5) Complex Analysis (Integration)
• Complex Integration | ...
7. Mathematics 1 (Module-1) Matrix
• Types of Matrix | Matr...
8. Mathematics 1 (Module-2) Differential Calculus-1
• Indeterminate Form | I...
9. Mathematics 1 (Module-3) Differential Calculus-2
• Partial Differentiatio...
10. Mathematics 1 (Module-4) Integral Calculus
• Double Integration | D...
11. Mathematics 1 (Module-5) Vector Calculus
• Basic of Vectors | Pro...
12. Application of Mathematics in Real World
• Geometrical Meaning of...
(COMMUNICATION LINKS)
1. KZbin CHANNEL LINK:
/ @dr.anuj.fearlessinnoc...
2. TELEGRAM LINK:
t.me/joinchat/...
3. FACEBOOK GROUP LINK:
www.facebook.c...
By: Dr. Anuj Kumar
Assistant Professor( Mathematics)
Ph. D, Gold Medalist in M. Sc and B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.
​ @FEARLESS INNOCENT MATH
#kas203T #kas203 #engineeringmathematics
Complex analysis playlist, complex analysis engineering mathematics, complex analysis b.sc 3rd year, complex analysis msc 3rd sem, complex analysis btech 1st year, complex numbers engineering mathematics first year, engineering mathematics 1st year complex numbers, complex variables engineering mathematics 2, complex variable integration, complex variable integration engineering mathematics, complex integration engineering mathematics, complex integration aktu, complex analysis csir net, complex functions engineering mathematics, complex functions bsc 2nd semester, analytic function bsc 3rd year, analytic function complex analysis, engineering mathematics 2 playlist, engineering mathematics unit 5, engineering mathematics unit 5 playlist, engineering mathematics 2 unit 5 aktu, engineering math 2 unit 5, engineering math 2 unit 5 playlist, mathematics 2 unit 5, mathematics 2 unit 5 playlist, mathematics 2 btech 1st year, engineering mathematics 2 btech 1st year, engineering mathematics 2 by anuj sir, complex analysis lecture series, complex variable integration unit 5, complex integration engineering mathematics, complex integration engineering mathematics aktu.

[@nanhesingh317]

पहली बार किसी अध्यापक ने पूरे इंजीनियरिंग aktu का सिलेबस को यूट्यूब पर अपलोड किया है एक दम सीरियल wise 🙏🙏🙏

[@dr.anuj.fearlessinnocentmath]

Thank you dear

[@dinanathmandal8962]

Bahut hi aacha se padaye h sir ne

[@RCBian100]

​@@dinanathmandal8962❤

[@selvamv7385]

Hi sir. Really really thank you so much sir. This month I have semester exam. My complex analysis faculty don't taught this entire unit😔 , I so much worried before seeing your video. After seeing your video I am soooooooooo happy sir. You gave crystal clear explanation on each sums. Really thank you so much sir. In this situation I am seeing you as a GOD. Thanks a lot sir.

[@dr.anuj.fearlessinnocentmath]

Most welcome dear Lovely comment of the day

[@thisravigangwar]

AKTU ke sbse mahenge College me admission lene ke baad bhi mnn apke video se hi pdne me lgta hain,😂 thank you so much sir ❤

[@dr.anuj.fearlessinnocentmath]

Welcome dear 😃😃

[@kavyamaurya5339]

Matalb mai sahi jagah hu mujhe dukh tha ki mera college bekar hai😂

[@thisravigangwar]

@@kavyamaurya5339 college achha burra nhi hota, bs mehnat krro apne skills pe apne app pe,

[@SuhailKhan-qq3dv]

Aallah tumhe or kamyabi de. Inshallah❤

[@dr.anuj.fearlessinnocentmath]

Sukriya Dost ❤❤❤❤❤❤

[@itsok8210]

Omg thank u so much , i understood nothing in college but your teaching is so incredibly crystal clear 😭🩷🎉now i understand, thank u v much 🙇🏻‍♀️

[@dr.anuj.fearlessinnocentmath]

Welcome dear❤❤❤

[@Tanushsativlogs]

best teacher ever i hope i can support him someway and plz never stop uploding,, thanku

[@dr.anuj.fearlessinnocentmath]

Thanks dear💕💕💕

[@deepakbharadwaj9536]

thank you so much sir poora 1 year ka math aap hi ki vidio se hua hai again thank you so much sir

[@chandantyagi837]

41:39 prr cos2a ko e ki power 2ia ki tarah nhi krr skte Mtlb sir jaise pehle Kiya hai e ki power wale formule se ?

[@dr.anuj.fearlessinnocentmath]

No dear

[@nikhilkumar3478]

Sir thank you so much for this content? You are amazing 👏🏻

[@dr.anuj.fearlessinnocentmath]

Welcome dear🎉🎉

[@arzoosingh1340]

Sir You are such hard working person ⭐⭐

[@dr.anuj.fearlessinnocentmath]

Thank you dear

[@keshavaggarwal8315]

Sir Fourier series mai pie to pie , 0 to 2pie , ya half range cosine, sin series mai konsa aane ki sabse jyada umid hai iss baar aktu mai pls btaye

[@dr.anuj.fearlessinnocentmath]

@@keshavaggarwal8315 inse 2 long question aayega

[@singh26255]

God of math ❤

[@dr.anuj.fearlessinnocentmath]

Thanks dear💕💕

[@Ansh-y5q]

sir 6 august se paper hahi aur ye wali unit bhot hee mushkil samaj me aari hai par chrd bhi nahi skta kya karoo , ye sari defination wagera kuch pale nahi pad rahi hai , kya sirf formula and questions practise kar skte hai , aur kuch tarika ho sir toh please tell me

[@dr.anuj.fearlessinnocentmath]

@@Ansh-y5q Taylor and Laurent series ker lo bus is me se

[@Ansh-y5q]

@@dr.anuj.fearlessinnocentmath sir aapke bharose karunga , 😭 kash isme se hee aaye

[@divyagarg4821]

Sir contour integral iss year syllabus ma ha?

[@dr.anuj.fearlessinnocentmath]

Yes application of residue theorem me aata hai ye

[@ghanshyampandit2752]

Clear hai sir

[@dr.anuj.fearlessinnocentmath]

@@ghanshyampandit2752 Thanks dear❤❤

[@Cric.movie123]

Sir exam ka date aa gaya hai bs aap complex differential or integration ka important questions bta dijiye please sir

[@dr.anuj.fearlessinnocentmath]

Ok dear💕💕

[@onuvuti3507]

Nice sir . Loved it ❤

[@dr.anuj.fearlessinnocentmath]

Thanks dear

[@umakantananda9447]

Sir thank u ...thank u so much

[@dr.anuj.fearlessinnocentmath]

Welcome dear❤❤❤

[@M_ahi]

Really Helpfull _Sir...Thankuhh😊

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@sureshsharma9535]

hello sir kya countour integral is year syllabus me hai. please reply

[@dr.anuj.fearlessinnocentmath]

Yes ye Cauchy residue theorem ka application hai

[@sureshsharma9535]

@@dr.anuj.fearlessinnocentmath thank you sir

[@its_naughty_girl]

Superb explanation 🎉

[@dr.anuj.fearlessinnocentmath]

Thanks dear💖💖

[@Jyoti-pc7eu]

Thank you sir 🙏

[@dr.anuj.fearlessinnocentmath]

Welcome dear💕💕

[@rajasthaniculturerajputana]

Oh my God just awesome ❤ thank you

[@dr.anuj.fearlessinnocentmath]

Most welcome dear❤❤

[@dr.anuj.fearlessinnocentmath]

Most welcome dear❤❤

[@debdulaldas4879]

Jabardast ❤❤❤❤❤

[@dr.anuj.fearlessinnocentmath]

Thanks dear❤❤

[@pscsingh2082]

Sir agar last wale question me direct deduction use nhi kar skte kya?? Jese π/root a2+b2

[@dr.anuj.fearlessinnocentmath]

No Pehle 0 to 2π me karte hai kyoki full circle liya hai |z|=1

[@pscsingh2082]

Ok sir thank you so much❤

[@pradeepbose159]

Sir in contour integration question if a< b , like d€/(10-20cos €) then how to solve.. please reply me sir

[@dr.anuj.fearlessinnocentmath]

Jo process maine btaya vo apply ker do dear ❤❤

[@pradeepbose159]

@@dr.anuj.fearlessinnocentmath sir wohi kiye .. but jab poles nikale... Both the poles have imaginary i , like z= (1+√3i)/2, z= (1-√3i)2 .. , sir now how to find out which is inside c

[@dr.anuj.fearlessinnocentmath]

@@pradeepbose159 both pole lies inside dear if these are correct

[@pradeepbose159]

@@dr.anuj.fearlessinnocentmath yes sir poles are lying inside c , exactly near the boundary of circle and i got final answer 0 . But sir in all other question a>b, .. i request you sir please if u get time.. please solve and upload this question also.. sir this is my request to you... Thank you sir for replying 🙏😊

[@piyush8674_]

thank you sir , koi book suggest kar dijiye complex integration vke question solve karne ke liye

[@dr.anuj.fearlessinnocentmath]

Krishna prakashan is best for numericals For theory you can use B. Charchil book

[@piyush8674_]

@@dr.anuj.fearlessinnocentmath thank you so much sir ♥️🙏

[@yuvat9241]

Ex3 the integral 0 to pi or 0 to 2pi

[@dr.anuj.fearlessinnocentmath]

0 to 2pi me solve karte hai sabko fir last me property lagate hai

[@Harikesh662]

Apse mere hostel and college ke sare bache study sir

[@dr.anuj.fearlessinnocentmath]

Very good dear

[@gwmonty8552]

Sir agar limit -π to π di ho to us case me kese solve kre ge Please sir reply

[@dr.anuj.fearlessinnocentmath]

Even odd concept se usko 0 to pi me convert kro Or uska method maine bataya hai

[@secretfacts1925]

Sir abhi unit 5 m kitne topic rhe gye h upload krne ko

[@dr.anuj.fearlessinnocentmath]

Topic saare ho gye jo aapke syllabus me hai, ek extra video dalunga bus

[@srikrishnpandey9323]

@@dr.anuj.fearlessinnocentmath kab?

[@kabeersinghthakur8507]

31:50 par alpha beta kaise pata chala kon >1 or kon < 1 plz reply

[@dr.anuj.fearlessinnocentmath]

Given hai question me dear

[@kabeersinghthakur8507]

@@dr.anuj.fearlessinnocentmath are sir a b Ka Diya h alpha beta kaha Diya plz detail m samja do

[@dr.anuj.fearlessinnocentmath]

@@kabeersinghthakur8507 Are bahi thumbnail me bhi condition likhi hai

[@dr.anuj.fearlessinnocentmath]

@@kabeersinghthakur8507 a>|b|

[@dr.anuj.fearlessinnocentmath]

Vhi to Alfa beta ko batayega Alfa beta ki condition le according koi bhi value lo Fir Alfa beta ka mod nikalo Mod Alfa hamesa less than 1 hoga

[@srilaprabhupaddas6589]

👍

[@clashingsword2685]

Thank you so muchhhh sirrrr❤❤

[@dr.anuj.fearlessinnocentmath]

Welcome dear💕

[@KiratSinghChauhan]

Sir sin ke bhe video dal do plz...

[@dr.anuj.fearlessinnocentmath]

G

[@singh26255]

Sir previous year question papers solve krwa dijiye 17,18,19,20,21,22 all year math 2 please sir please please phla paper aapka hi hai

[@dr.anuj.fearlessinnocentmath]

Ok dear💕

[@deepsikha06]

Sir previous year questions krwa dijiye

[@dr.anuj.fearlessinnocentmath]

Ok dear

[@Brsingh2179]

Nice vedios sir

[@dr.anuj.fearlessinnocentmath]

Thanks dear

[@nagarathnak9441]

Tq sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@rajeshuniyal8817]

Thanks

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@nanhesingh317]

Sir limit 0 to infinity and -infinity to +infinity nhi bataya apne

[@dr.anuj.fearlessinnocentmath]

Vo abhi syllabus me nhi hai dear

[@varshanain985]

@@dr.anuj.fearlessinnocentmath pllĺljjlnĺg

[@priyanshu9922]

Sir -πtoπ wala

[@dr.anuj.fearlessinnocentmath]

all ready cover in video dear

[@shivbharatlodh9138]

Thank you so much sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@mrche.pankaj832]

Good morning sir

[@dr.anuj.fearlessinnocentmath]

Good morning dear

[@Ramneet04]

Sir is this a part of syllabus

[@dr.anuj.fearlessinnocentmath]

Cauchy residue theorem ka application hai

[@NishantSharma-kd9eb]

Sir when will u upload the 2nd part of contour integral

[@dr.anuj.fearlessinnocentmath]

Try yourself dear, every question has same process

[@ammanrajput1252]

Sar Apne sign wale question nahin banae hain kya?

[@dr.anuj.fearlessinnocentmath]

I will upload some question dear ok

[@ammanrajput1252]

Oki sir

[@ammanrajput1252]

@@dr.anuj.fearlessinnocentmath ismein nahin tha to mujhe laga syllabus mein nahin hoga isliye aapane hata Diya

[@krishhiranwal6485]

Sir ye imp h kya 😢

[@dr.anuj.fearlessinnocentmath]

Yes dear❤💕

[@shaniiiiiiiii7304]

Pdf h ky iski

[@dr.anuj.fearlessinnocentmath]

No dear

[@hoperthinkermotivator9902]

Sir minus infinity th o infinity

[@yugalkishordhruw3711]

Tq sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear