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
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1. Objective Question Mathematics:
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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...
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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
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[@Daniyakhan-d3i]

1+cos6theta/5-4cos2theta sir book me is question ko normal method se solve kiya hai na ki real part use krke

[@dr.anuj.fearlessinnocentmath]

Vase bhi ker sakte hai

[@Daniyakhan-d3i]

@@dr.anuj.fearlessinnocentmath agr mai real part use krke kaun to glt to nahi hoga???

[@dr.anuj.fearlessinnocentmath]

@@Daniyakhan-d3i nhi dear

[@YuvrajSingh-my2qq]

Sir shuru me, numerator me cos theta ko directly z ke form me kyon nhi likha jese denominator me kara hai

[@dr.anuj.fearlessinnocentmath]

Dekho try karke answer aata hai kya

[@jaishreeram5808]

sir i have a doubt..why we have not written cos theta as (z+1/z) /2 in numerator....

[@dr.anuj.fearlessinnocentmath]

Us tarike se 1-2 question hi solve ho payega sarre nhi dear. Contour integral me limit o to 2π hota hai isiliye Nr part ko exponential hi likhte hai real and imaginary me.

[@jaishreeram5808]

@@dr.anuj.fearlessinnocentmath sir ussey answer galat aayega? agar galat aayega to kyu ? bcz humne to value shi put kri h cos theta ki.. fir kis step me galati hui?

[@dr.anuj.fearlessinnocentmath]

@@jaishreeram5808 Because vo polynomial banega z me Or Contour integral me hum circle lete hai Circle ki polar equation exponentially hoti hai Isliye hum nr. me exponential hi banate hai Dr. Se hame pole lene hi, isliye polynomial banate hai

[@jaishreeram5808]

@@dr.anuj.fearlessinnocentmath Thanks a lot sirji🙏

[@Daniyakhan-d3i]

Sir plz....important definitions bata dijiye jo AKTU me puchi jati hain

[@dr.anuj.fearlessinnocentmath]

Ok

[@Daniyakhan-d3i]

Sir plz jldi bata dijiye 6 ko maths ka paper hai

[@Daniyakhan-d3i]

Sir plz jaldi provide kr dijiye padhne me bhi to time lagega

[@kumarpiyush2164]

Sir isme residue direct formula se nikal dke [Fie/ sie']z=-1/2 Then real part wla krne ka jarurat nahi hota Direct cos ka value dalte 1/2(z+1/z)

[@chanchalprajapati2841]

Sir numerator me jb b trigonometric terms aayengi to unhe real or imaginary part se hi humesha solve krna h ??

[@dr.anuj.fearlessinnocentmath]

Yes dear, you are right

[@aakashnailwal2249]

Sir agar numerator mai cos ki jagah z ki terms mai value rakh ke karenge toh ? Koi dikkat hogi kya sir ?

[@dr.anuj.fearlessinnocentmath]

@@aakashnailwal2249 Answer will not match correctly

[@aakashnailwal2249]

@@dr.anuj.fearlessinnocentmath ok sir . sir ek or cheez ki , numerator mai cos or sin dono bhi aa sakte hai ? aisa question bhi hota hai koi ?

[@dr.anuj.fearlessinnocentmath]

@@aakashnailwal2249 no jyada complicated ho jayega

[@princekumar-qz8di]

Ram ram sir, I have a doubt and that is why we are not taken the e^ithita on both Numerator and den.? 😢

[@dr.anuj.fearlessinnocentmath]

Usse nhi ho payega ye dear

[@explorer1712]

Sir ye kaise pta lgega ki real part vala concept lgana h?

[@dr.anuj.fearlessinnocentmath]

Agar cos, sin nr. Me hai to lagega

[@khushipanwar7215]

Isse phele wali video m ques the jimne real part wala concept nhi lag rha tha but sin cos the aisa kyuuu ???

[@dr.anuj.fearlessinnocentmath]

@@khushipanwar7215 Aapke pass koi or option hai uske liye

[@iaswallah9411]

Sir important questions de dijiye please

[@dr.anuj.fearlessinnocentmath]

I will upload dear

[@singh26255]

Sir previous year question papers solve krwa diyaye please

[@dr.anuj.fearlessinnocentmath]

Ok dear💕💕

[@rajmaurya4721]

Sir Mera answer alag aa raha hai....Maine numerator mein Co's theeta ko z ki form mein kiya drive.google.com/file/d/1_lOdCuRj9r2cQunJW0md2gji0XNIuiuM/view?usp=drivesdk Pls correct me

[@dr.anuj.fearlessinnocentmath]

z=-1 bhi boundary per aayega