This is quality content indeed. I suggest everyone to share these to your engineering peers. It is so much easy to understand and such well organised. Thank you NPTEL for these lectures. By the way I'm a first year at IIT KHARAGPUR.
That's just general form for represention.. since E ranges from xnot to x, so if you represent in that form means theta, at theta = 0 you get xnot and at theta = 1, you get x, if if in between value then it ranges from xnot to x
@@ArunKumar-om1xx Consider the interval (0,2) , and x is a number in that interval , say 1. 1 can be represented as 0+1. Similarly, any number in the interval can be represented as 0+eta. Where eta lies in the interval (0,2). Now to abstract this idea even more, any number in any interval can be represented this way provided the number (eta) lies in the interval .
@@mukundsrinivasb in your case, representation of theta is not generic.. if you represent 1 as 0+2*theta, then theta equals to 0.5 and if theta equals to 1, will represent 2
@@ArunKumar-om1xx So, the point i was trying yo make here is any number in that number line spanning from (a,b) can be represented as finite distance from a.
this guy only explains the variables taken in derivatives would be more fascinating if he had explained how those polynomials has been constructed and that remainder par and that remainder function how did he consider that ? he only speak like a Robot nothing else no enthusiasm in teaching at all
This is quality content indeed. I suggest everyone to share these to your engineering peers. It is so much easy to understand and such well organised. Thank you NPTEL for these lectures. By the way I'm a first year at IIT KHARAGPUR.
Same bro
@@user-xo7kq3hs6b which branch and section?
@@siddharthchampia5674 11 EE
@@user-xo7kq3hs6b mine sec 1 ECE
Same..and Prof jkumar is my teacher of MA 😂
This is the best lecture series after somesh Kumar sir .. both of them are by far to my observation the best maths professors IIT has currently
Ok
अपने गणित को अत्यंत सहज रूप में प्रस्तुत किया है अतः मैं आपकी चरण वंदना करता हूं
What are some common examples of functions that cannot be approximated using taylor series??
What is theta? He suddenly introduced it and it ranges from 0 to 1. I can't understand it.. Please anyone help me..( see 15:43)
Same problem here also.
That's just general form for represention.. since E ranges from xnot to x, so if you represent in that form means theta, at theta = 0 you get xnot and at theta = 1, you get x, if if in between value then it ranges from xnot to x
@@ArunKumar-om1xx Consider the interval (0,2) , and x is a number in that interval , say 1. 1 can be represented as 0+1. Similarly, any number in the interval can be represented as 0+eta. Where eta lies in the interval (0,2). Now to abstract this idea even more, any number in any interval can be represented this way provided the number (eta) lies in the interval .
@@mukundsrinivasb in your case, representation of theta is not generic.. if you represent 1 as 0+2*theta, then theta equals to 0.5 and if theta equals to 1, will represent 2
@@ArunKumar-om1xx So, the point i was trying yo make here is any number in that number line spanning from (a,b) can be represented as finite distance from a.
2:31 5:53 8:20 9:47 12:10 13:52
Super lecture sir
Koi batayega ki (n+1) th derivative of g(xnot)=(n+1)! kaise hua.
At 10:48
g'(x) = (n+1) (xnot)^n,
g"(x) = (n+1)(n)(xnot)^(n-1)
so n+1 th derivative will be (n+1)(n)(n-1).....1 = (n+1)!
@@ArunKumar-om1xx but still it has to be zero when x=x0?
@@mdasifhassan no the term of x will vanish
Can someone give me practice sums for this topic ?
It's fine ,if u upload any link or PDF
awesome sir
amazing
g to the power (n+1) at x = x not was (n+1)! . How sir wrote g to the power (n+1) at x =£ equal to (n+1)! ???
If someone know tell me please.
thank you sir....
16:10 17:18 18:00
Typo at 8:45,
**difference
this guy only explains the variables taken in derivatives would be more fascinating if he had explained how those polynomials has been constructed and that remainder par and that remainder function how did he consider that ? he only speak like a Robot nothing else no enthusiasm in teaching at all
True