Taylor Theorem in Complex Analysis | Taylor Series Complex Analysis | Taylor Series | Taylor Theorem

ENGINEERING MATHEMATICS-2 UNIT 5
BAS203
COMPLEX VARIABLE-INTEGRATION
LECTURE CONTENT:
. COMPLEX VARIABLE INTEGRATION
ENGINEERING MATHEMATICS-2 (MODULE-5)
LECTURE CONTENT:
TAYLOR SERIES DEFINITION
EXPANSION OF f(z) by TAYLOR SEREIES
PROBLEMS ON TAYLOR SERIES IN COMPLEX ANALYSIS
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@FEARLESS INNOCENT MATH
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Engineering Mathematics 2
Engineering Mathematics-II
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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...
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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.
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[@neelamtunia8852]

Sir I think the value of -1/z² will be 2/z³ . But you wrote 1/z³ 🫱🏼‍🫲🏻

[@whateverittakes5340]

3:05 - type 1
17:55 - type 2 (imp)
24:55 - type 3

[@nitesh__yadav]

Sir example 2 me f " (2) = 2/8 aayega n?

[@ArvindGupta-zv1tr]

Yes

[@thedarkknight9335]

Han

[@rajmaurya4721]

Yes

[@akashsharma-pp1xn]

Haa bhai haa

[@AkashKumar-t4b5x]

Thank you sir
1 doubt is that in sin inverse z why we can use normal method and put z knot= 0.
And another doubt that if we are expanding then |z|

[@dr.anuj.fearlessinnocentmath]

Taylor Series will be used

[@ShauryaSingh-wg9sn]

Sir,last vale Q me humne Z ki terms nikalne ke baad direct Z⁴ ki terms kyu nikali....Z² ki kyu nahi?

[@dr.anuj.fearlessinnocentmath]

@@ShauryaSingh-wg9sn vo to formula me put karke aaya dear z^2 kase aayega fir

[@ShauryaSingh-wg9sn]

Sir,aabhi bhi samajh nahi aaya....aap thoda detail me bata sakte h?😅

[@dr.anuj.fearlessinnocentmath]

@@ShauryaSingh-wg9sn
Comment me detailed nhi bta paunga dear

[@ShauryaSingh-wg9sn]

@@dr.anuj.fearlessinnocentmath ok sir,koi baat nahi....aab samaj me aa gaya
Kyuki z² ki terms mil kar saab 0 denki numerator me to vo aayega kaise....silly mistake...😅
Thanku sir for always replying...❤️

[@user-loop12]

Sir 2nd example me 2nd derivative wrong hai

[@ALLINONE-ws8ss]

last wala partial fraction koi bta do nhi aa rha answer???

[@AbhishekSharma-yq9dd]

Sir please upload more objective based questions video.

[@dr.anuj.fearlessinnocentmath]

Yes

[@manojtiwari9224]

Sir at 22:28 5/122 z^7 hoga in place of 5/122 z^6

[@ShubhamKumar-ml9nj]

Hnji sir

[@whoareyou376]

Sir I always recommend your channel to my friends the way you're teaching 🥰

[@dr.anuj.fearlessinnocentmath]

Thanks dear for love and support

[@multiatoms]

Great explanation thank you sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@shadowknight5930]

sir Type 1 ke last example mein fnc 3,1 pe analytic nhi h and circle is z=4 toh isme toh taylor series apply nhi hona chahiye..?? PLZ CLARIFY??

[@dr.anuj.fearlessinnocentmath]

Lakin z=4 per to analytic hai dear
Usi per to expand karna hai

[@shadowknight5930]

@@dr.anuj.fearlessinnocentmath ok Sir, mujhe lga ki for expanding in |z|=4 fnc must be anaylitic within and on the circle.

[@shadowknight5930]

@@dr.anuj.fearlessinnocentmath Thanks Sir for clarification.

[@gopalshaw2024]

Thank u sir😊😊😊

[@dr.anuj.fearlessinnocentmath]

Share to your friends dear

[@abhinandanraj5660]

sir pls voice increase karein thori, baki video is very helpful.

[@dr.anuj.fearlessinnocentmath]

Ok dear❤

[@vaibhavagarwal1367]

Sir please tell how we will know that which method we should apply while finding the Taylors series..??🙏🙏

[@dr.anuj.fearlessinnocentmath]

Video me ye sab hi to bataya
Ek massage me sab kuch kase batau dear

[@rajmaurya4721]

25:07 sir f(z) pie pe analytic nahi hai… toh Taylor series lagegi?

[@dr.anuj.fearlessinnocentmath]

Variable change karke dear

[@vivekkumarvairagi3665]

Power series bhi bta dijiye,, sir

[@dr.anuj.fearlessinnocentmath]

Ok dear

[@explorer1712]

Sir ye kaise pta lgega ki origin ke about pucha h?

[@dr.anuj.fearlessinnocentmath]

Expansion in terms of z
Origin ke about hi hota hai

[@Evil_Gaming73]

Sir ji I have a question please help to find solution

[@Evil_Gaming73]

For the function f(z) =(2z³ +1)/z²+z find taylor series valid in a nbd of the point z =i

[@dr.anuj.fearlessinnocentmath]

@@Evil_Gaming73 iske jasa question to karya hai Maine video me dear

[@Evil_Gaming73]

@@dr.anuj.fearlessinnocentmath sir isi video me ya kisi aur video

[@Evil_Gaming73]

@@dr.anuj.fearlessinnocentmath agar koi aur video ho toh link send kar dijiye

[@Evil_Gaming73]

Sir in this question I am confused that how to solve because I my answer is in summation form

[@gokulrj3229]

sir is unit ke baki topic kiye bina ye topic kar sakta hu?

[@dr.anuj.fearlessinnocentmath]

Yes dear

[@keshavaggarwal8315]

Sir unit 5 m sa 2question ya topic bta do jo jyada tar aate h 7 marks m pls

[@dr.anuj.fearlessinnocentmath]

Cauchy Integral Firmulae
Taylor's and Laurent series