- 357
- 704 100
Linda Green
Registrace 30. 06. 2013
Taylor Series and Euler’s Formula
Taylor series can be used to prove Euler’s formula e^(ix) =cos(x)+ i sin(x) which can then be used to uncover other amazing relationships. Calculus 2.
zhlédnutí: 209
Video
Taylor Series and Approximating Definite Integrals
zhlédnutí 120Před 2 měsíci
Taylor series give a powerful method to approximate the value of a definite integral.
Using Taylor Series to Find Limits
zhlédnutí 123Před 2 měsíci
Taylor series give a powerful alternative to L’Hospital’s Rule for finding the limit of a 0/0 indeterminate form. Taylor series can also be used to justify L’Hospiral’s Rule. Calculus 2.
Using Taylor Series to Find the Sum of a Series
zhlédnutí 143Před 2 měsíci
Taylor series can be used to find exact sums of sum series, like the Alternating Harmonic Series, that we could only find approximate sums for before. Calculus 2.
Using Taylor Series to Approximate Values of Functions
zhlédnutí 97Před 2 měsíci
Taylor series can be used to approximate values of functions using basic arithmetic. Calculus 2
Work to Pull Up a Rope
zhlédnutí 239Před 4 měsíci
The work required to pull up part of a rope can be found by dividing the rope into small chunks and integrating. Calculus 2.
Volume of a Wedge
zhlédnutí 500Před 4 měsíci
The volume of a circular wedge can be found by integrating the area of triangular cross-sections. Calculus 2.
Trapezoid Rule
zhlédnutí 311Před 5 měsíci
The trapezoid rule gives a way of approximating integrals using trapezoids.
Midpoint Rule
zhlédnutí 262Před 5 měsíci
The midpoint rule is a way of approximating an integral, or the area under a curve, in Calculus.
Loading Up and Plotting Data
zhlédnutí 889Před rokem
Load up a .csv file and plot some of its rows and columns using Python in Google Colab.
Intro to Plotting with matplotlib
zhlédnutí 463Před rokem
How to make a simple line plot and scatterplot using Python's matplotlib in Google Colab
Intro to Colab and Python
zhlédnutí 427Před rokem
How to open a Google Colab file, type some text, and run some simple code.
Linda Green Personal Intro Spring 2023
zhlédnutí 2,3KPřed rokem
Linda Green Personal Intro Spring 2023
Derivatives and the shape of the graph - example
zhlédnutí 1,3KPřed 2 lety
Derivatives and the shape of the graph - example
Limit as x goes to infinity recitation problem
zhlédnutí 740Před 2 lety
Limit as x goes to infinity recitation problem
Recitation 2 a solution and some hints
zhlédnutí 460Před 2 lety
Recitation 2 a solution and some hints
Linda Green Personal Intro Spring 2022
zhlédnutí 3,4KPřed 2 lety
Linda Green Personal Intro Spring 2022
Compactness: Polsby-Popper vs. Schwartzberg
zhlédnutí 1,2KPřed 2 lety
Compactness: Polsby-Popper vs. Schwartzberg
Invertible Matrices and Their Determinants
zhlédnutí 994Před 3 lety
Invertible Matrices and Their Determinants
Symmetric Matrices and Eigenvalues and Eigenvectors - Proofs
zhlédnutí 1,6KPřed 3 lety
Symmetric Matrices and Eigenvalues and Eigenvectors - Proofs
You are gorgeous AF.
Nice
done!
Umm in 6:39 in the square root you did 4-28 = -32 or you do you meant 4+28?
Completed I've also done the notes problems..
i completed!
Lots of Love Your lectures Mrs Linda ❤️. keep growing and improve quality in real world and professional world😅
luv u❤
Finally the end of my journey I started from Algebra then to Precalculus then Calculus 1 then 2 then Linear Algebra and then finally calculus 3 by this it took me a months to master in mathematics with her it was a great journey. Plz I would like have a combine course on basic statistics with probability and set theory if it's there plz I would love to take the course.
nice proof but I got kicked out of my exam for singing formulas
🤣
Thank you!!
After 2:22 minutes on this video, you said that "for any function f(x) and for real numbers a and L, lim_{x → a} f(x) = L means that f(x) gets arbitrarily close to L as x gets arbitrarily close to a. In other words, as x heads towards a, f(x) heads towards L." But are the statement "f(x) gets arbitrarily close to L as x gets arbitrarily close to a" and the statement "as x heads towards a, f(x) heads towards L" really the same? Didn't you mean "as close as we want to" there by the phrase "arbitrarily close"? Or you meant "closer and closer" by the phrase "arbitrarily close"? When we talk about the definition of the limit of a function more informally, we can say the statement that "as x heads towards a, f(x) heads towards L" (which is similar to "as x gets closer and closer to a, f(x) gets closer and closer to L"). But when we talk about the definition of the limit of a function less informally, shouldn't we say that "f(x) gets arbitrarily close to L as x gets sufficiently close to a" (though you did mention it after a few seconds)? Are the statements "f(x) gets arbitrarily close to L as x gets arbitrarily close to a" and "f(x) gets arbitrarily close to L as x gets sufficiently close to a" same? Or f(x) gets arbitrarily close to L as x gets sufficiently close to a" is just a better way of saying the definition of the limit of a function than "f(x) gets arbitrarily close to L as x gets arbitrarily close to a"? Is the statement "f(x) gets arbitrarily close to L as x gets arbitrarily close to a" appropriate for an informal definition of the limit of a function?
As you probably know, the precise definition of lim_(x -> a) f(x) = L is that for any (small) number epsilon > 0, there is a (small) number delta > 0 so that whenever x is within delta units of a, f(x) will be within epsilon units of L. I use imprecise language in this intro video to get the idea of a limit across, without overwhelming my students with the more precise notation. The informal language is good enough for many straightforward limit situations, but not good enough for more complicated situations. Maybe a slightly more precise but still informal definition might be that lim_(x -> a) f(x) = L if f(x) gets and stays arbitrarily close to L when x is sufficiently close to a.
Most intuitive proof ever :) Thank you!
4:10 - that quotient rule has a lot going on, but that chant does the trick!
why cant i download the notes
Hello, Mam is there anyway to contact you or ask some questions? your email or anything to contact?
Thank you for very clear explanations.
@1:15 we could have used the definition of a logarithm and get e^2 = 2x + 5 from it, skipping the step of taking e to the power on both sides.
Thank you, this is very clear.
Thank you, this is very clear.
THANK YOU FOR EXPLAINING THIS FROM THE VERY FUNDAMENTALS!
I always look forward to these videos from Linda Green. 😊
Pls provide us with the pdf notes of this video😭😭😭
You can find the "blank notes" for these videos as part of the course notes here: lindagreen.web.unc.edu/teaching/calculus-3/
@@lindagreen7859 I have tried to check the website with this link given but the sublinks inside this website aren't responding 😭😭😭
@@lindagreen7859 I still can't download the pdf files
@@lindagreen7859The sublinks inside the website are broken 😢😢😢
This is great! Thank you!
Niiice. 🍧
thank you teachel❤🎉
You never prove what you say you intended to prove-namely, that the component definition implies the length-and-angle definition.
good video! Wish you would prove the fourth step aswell :D
How do I communicate with you
Hey Linda. I just wanted to comment to say thanks for all the free material. I just got out of the military and am using your content to brush up on my mathematics before going back to college. It is really well put together. You're helping me out a lot. Much love.
Thanks so much for all you’ve done
Great lecture playlists. Thank you. May God bless you.
Nicely done, Dr Green! 🎉😊
0:25 It is not necessary to include L > 0 as a condition, since this is implied by the fact that the terms of both series are positive. (if An,Bn > 0, this means that An/Bn will also be > 0) Regarding the rest of the proof, I found it extremely understandable and well explained. Way better than Dr. Peyam's video on the same. Thank you so much for this video, I hope you realize how much of a positive impact people like you make on people learning mathematics!
The point of assuming that the limit L > 0 is not to avoid a negative limit, which I agree is already ruled out, but to avoid a limit of 0. Because if the limit is 0, then one series could converge while the other does not.
@@lindagreen7859 Okay, that does make sense. Perhaps it'd still be clearer to write L != 0 instead of L > 0.
Thank you
Thank you very much
Hello Dr. Green, I wish you would make videos for abstract algebra, differential equations, or number theory. I know there are tons of videos and resources out there, but you make lessons easier to understand.
I'm curious. Do you use an iPad when recording these? What kind of technology do you use?
Glad to see you back on CZcams Ms Green!
Teaching is such a noble profession. I love teaching and wish it had the respect it deserves.
Linda I could kiss you rn
Thank you so much Dr. Linda Green for putting up these playlists. Your videos have helped a lot in my Calculus 2 & 3
Thanks for the video. Do you have one for solving systems of linear inequalities?
Thank you.
Linda Green does it again! Woo hoo! 🎉😊
Thank you so much Dr. Green. Word's can't describe how thankful we are for your effort and dedication to provide one of the top online educational materials on the planet. Keep up the great work ✨❤.
Thank you for the beautiful proof. I will refer to this proof on my videos.
There is a mistake in A tilda matrix: the first row must be 5 10 -5, not 5 10 -1
I just want to thank you for all of your videos (including the ones on Free Code Course). I struggled with maths for years, and your videos were the first resource that I managed to understand and follow. I've gone from being afraid of doing maths to being fascinated by it (and doing maths problems for fun) - your uploads are a MASSIVE part of that.🙏
Outstanding.