When I want a high-quality vid with good graphics that emphasizes concepts over mechanics, I check your channel first. You are the math teacher's math teacher.
This is the best explanation of Taylor Series on the internet, because you have explained the core of it rather than directly explaining the steps on how to work with it.
What’s special about your vids, is that you’re not just trying to show us how to solve a question for a math test. You’re educating people from all over the world to truly understand the concept and reasoning between these seemingly abstract topics. Thank you so much!
Dr Trefor you are a superstar!!I finished my engineering degree a while back,I just happen upon your videos and was captured by your passionate presentation,very good graphics and concise explanations...I'm just going through your videos just for fun and to remind myself of some concepts I had already forgotten
Thank you so much! I'm a current Calc 2 student at an engineering school. I tried so hard in class to get this topic, and your video has finally helped me get it! The feeling of relief from getting this is such a great one! Thank you so much for making it make sense! :)
I seriously wonder why can't professors at unis and schools be as inspiring as you are? I have been trying to understand taylor series and your video has helped me to start understanding it
really great video here. it has all the pretty graphics which make sense, but unlike the other pretty graphics videos, it still has a solid explanation. thanks for this, sir
Thank you good Sir, This is the first time I have really understood Taylor Series this semester, and right on time too seeing as my final is on Monday! Love the clarity and the why, not just the how. You've saved me twice this year!!!
I’m not joking, I’m currently watching this video in the middle of my math class about Taylor series because my professor is doing a terrible job of explaining it compared to you. Thank you so much!!! I’m understanding this concept for the first time now.
Just can't appreciate you enough for putting such great effort and time to produce quality content one after another. You make things seem so easy to understand no matter the complexity. You're one of the best teacher I've ever came across. 🙏
Thank you! Every resource, be it textbook or video, tells you how to do a Taylor series, but this is the first time I've seen the "why" of a Taylor series.
I really like your video structure. I think the conceptual aspect is more important for starters than pure calculations. Back when I first learnt this we were just given the formula and told that it works.....This was not teaching but just blatant memorisation, which is not really what math is about in essence but rather fundamental understanding imo. Thanks for the great stuff as always on here
The last week of calc 2, we were supposed to learn Taylor Series. I was struggling mightily in the class. I made the choice to totally punt that content and focus on the rest of the course material to prep for the final exam. Technically my strategy worked, as I passed the class. But I have carried guilt over never actually learning Taylor Series at all. This video at least gave me the basics to now know what I missed. Thanks for that!
Physics is not just about solving problems by putting the given values in an equation, it is also about the core or kick of the topics ur studying 👍🏼🔥. Btw I was wandering from yesterday to get a proper explanation on Taylor's series and found this 🔥🔥
Dr Trefor Bazett - This video is very much helpful. Thanks so much. But I want to ask. Is it possible to use Taylor's series model to increase a rate? I'm a petroleum engineering student, I don't know if a model can be developed from Taylor's Expansion model for the increase of oil production rate.
An excellent video (as usual) by Dr. Bazett. My questions around Taylor Series have always been some form of the following: I either know calculus or don't know calculus. If I know calculus, why do I need an approximation? I know the function and can compute the function and its derivative at any point. If I don't know calculus, how can I calculate the Taylor series which requires knowing first, second and n-derivatives of the function?
you have to look at the equation fully so for example, f ' ' (0)= 0+2*C2+0 and becaues you are solve for C2 you divide 2 factorial to the other side giving you C2 = f' '(0)/2!. Its factorial because you have to factor in all previous derivatives
Hello. Quick question, can be Taylor Series be represented as "composition" of simpler polynomials? If yes , than better numeric stability and order faster calculation. Thanks.
How could u put x-a in the place of X. Then can I also put (n-a)! In the place of n! by saying the same reason you said. If that is correct you can also put x+a in the place of x by saying that it is a general case????
![Lp. Сердце Вселенной #60 РОЖДЕНИЕ ЛОЛОЛОШКИ [Финал] • Майнкрафт](http://i.ytimg.com/vi/YoR0pAV9FVQ/mqdefault.jpg)
When I want a high-quality vid with good graphics that emphasizes concepts over mechanics, I check your channel first. You are the math teacher's math teacher.
So meta
a meta teacher
Best explanation of Taylor Series I've seen.
You should also check out 3blue1brown's video on Taylor series
@@Frosty-tr3ow both are pretty good in there one way
@@Frosty-tr3ow "zackstar" has also made a video on this topic and that one is great 🔥
This is the best explanation of Taylor Series on the internet, because you have explained the core of it rather than directly explaining the steps on how to work with it.
I hope your students appreciate how lucky they are to have you as their teacher.
What’s special about your vids, is that you’re not just trying to show us how to solve a question for a math test. You’re educating people from all over the world to truly understand the concept and reasoning between these seemingly abstract topics. Thank you so much!
This video really made me appreciate Taylor series, as my professor didn't do much besides showing us the general formula. Thank you so much!
This might hands down be the best explanation of Taylor series I've seen in my 10 years of studying math.
amazing. study math on my own and with your help i m starting to realise we have no limits..
So far, the best demonstration of Taylor Series on UA-cam. Thank you sir for the detailed explanation.
Dr Trefor you are a superstar!!I finished my engineering degree a while back,I just happen upon your videos and was captured by your passionate presentation,very good graphics and concise explanations...I'm just going through your videos just for fun and to remind myself of some concepts I had already forgotten
best teacher I have ever seen, I wish if I could give you a great salute, and a big thumbs up
Whenever I'm confused about an advanced concept in math, I always come straight to your videos.
This is an incredibly clear explanation of Taylor Series, thank you so much Dr. Trefor !
That 10 second intro was lit..best thing I have seen on any math video ever ..Thanks
Was struggling with the idea of a series being ‘centred’ at a certain point, this video made it click, thank you
I am very grateful to the way, how you explain Taylor Approximation. I have seen many videos in different languages but yours is the best
Thank you so much! I'm a current Calc 2 student at an engineering school. I tried so hard in class to get this topic, and your video has finally helped me get it! The feeling of relief from getting this is such a great one! Thank you so much for making it make sense! :)
This video is elegantly made with such a good quality. And it is Easy to understand! I found this very helpful! Thank you for your help and passion!
I seriously wonder why can't professors at unis and schools be as inspiring as you are? I have been trying to understand taylor series and your video has helped me to start understanding it
really great video here. it has all the pretty graphics which make sense, but unlike the other pretty graphics videos, it still has a solid explanation. thanks for this, sir
Glad you enjoyed it!
This is by far the best explanation I've come across!
Glad it was helpful!
Thank you good Sir,
This is the first time I have really understood Taylor Series this semester, and right on time too seeing as my final is on Monday! Love the clarity and the why, not just the how. You've saved me twice this year!!!
I’m not joking, I’m currently watching this video in the middle of my math class about Taylor series because my professor is doing a terrible job of explaining it compared to you. Thank you so much!!! I’m understanding this concept for the first time now.
Just can't appreciate you enough for putting such great effort and time to produce quality content one after another. You make things seem so easy to understand no matter the complexity. You're one of the best teacher I've ever came across. 🙏
I think you are hands down the best maths teacher on youtube
Thank you! Every resource, be it textbook or video, tells you how to do a Taylor series, but this is the first time I've seen the "why" of a Taylor series.
Very good explanation, Dr. Bazett. Thank you, and salutations from southern Brazil!
What a great video. Very clear explanation, you’re the best!
Bro that was the best explanation on the Taylor series on UA-cam 😮🛐💗
Incredibly clear, with great visuals. I don't even sub to most math channels but you know what, this isn't most math channels :)
Its 4 years after you made this video and I am here for the first time. Very beneficial, Thank you 🙂
really really awesome your lectures are making maths more and more interesting for me, thank you a lot, greetings from India
Man! You are epic , professor. Brief , clear and deep!
this is crystal clear explanation.. OMG! you're so amazing and very inspiring! please continue what you are doing! God bless
I really like your video structure. I think the conceptual aspect is more important for starters than pure calculations. Back when I first learnt this we were just given the formula and told that it works.....This was not teaching but just blatant memorisation, which is not really what math is about in essence but rather fundamental understanding imo. Thanks for the great stuff as always on here
It's a must watch video for undergraduates.
This is amazing!!!
Prolly the only video on youtube which I could easily understand!!!
that was...
really really good
bless you Dr Bazett
this quality content is underated
Glad you enjoyed it!
I really liked your method of explaining, well worth subscribing
It was awesome special vectors which change by your explanation and the way you explain about derivatives👌
Thanks a lot 😊
The last week of calc 2, we were supposed to learn Taylor Series. I was struggling mightily in the class. I made the choice to totally punt that content and focus on the rest of the course material to prep for the final exam. Technically my strategy worked, as I passed the class. But I have carried guilt over never actually learning Taylor Series at all.
This video at least gave me the basics to now know what I missed. Thanks for that!
Thank you so much!!
Your student from Egypt ♥️
Thank you ,Sir. I was looking for a video which demonstrated the proof.
Brilliant video Dr TB.
this is the best video about taylor approximation. thank you very much!
thanks a lot, this video was very useful for me . although I watched some videos to understand the Taylor expansion, this one was the best
It hits the idea for the derivation of Taylor series.
That was really good!
Gonna have to watch this a couple times. 😅 Although your explanations are very clear and engaging.
Thank you so much sir for this wonderful video🙏🙏🙏...
Physics is not just about solving problems by putting the given values in an equation, it is also about the core or kick of the topics ur studying 👍🏼🔥. Btw I was wandering from yesterday to get a proper explanation on Taylor's series and found this 🔥🔥
What a great way of explanation
Taylor series has to be the math's one of the greatest inventions
Please continue with this teaching .....I am really interested with your teaching
The king of kings
this guy is a god sent
Thanks a lot ...maths should be explanation like this...
Very clear. Suggestion: I could talk about infinite Taylor Polynomials and more details of approximation errors!
You are that hero professor of my dream ❤
Really wonderful explanation.Thank you sir
finally i understand taylor series , thank you so muchhhhhhhhhhhhhhhhhhhhhh
❤❤❤
Dr Trefor Bazett - This video is very much helpful. Thanks so much.
But I want to ask.
Is it possible to use Taylor's series model to increase a rate?
I'm a petroleum engineering student, I don't know if a model can be developed from Taylor's Expansion model for the increase of oil production rate.
Buddy, you are the best explainer 👍
this is beautiful, how the hell do you even think to come up with something such as this?
best fu***ing explanation I've seen so far....thx for effort ;)
AMAZING. This helped me so much, THANK YOUUUU
Wonderful explanation. Excellent
Thank you ❤️ For Such a great explaination 🙏🏼
Now the real question is: Can we take this concept and apply it to multivariable calculus? Oh and btw best explanation I've seen so far
Absolutely! There is a multicariable Taylor formula too
@@DrTrefor oh wow really?! Wouldn't that be kind of difficult to wrap our mind around it?
Sweet graphics. Very helpful.
Glad you like them!
calculus (taylor’s version)
An excellent video (as usual) by Dr. Bazett. My questions around Taylor Series have always been some form of the following: I either know calculus or don't know calculus. If I know calculus, why do I need an approximation? I know the function and can compute the function and its derivative at any point. If I don't know calculus, how can I calculate the Taylor series which requires knowing first, second and n-derivatives of the function?
Great Information!💖
You are a life saver... That's all I can say
Glad it helped!
One thing I’m struggling to understand is how you found C2 to be 1/2 6:35
you have to look at the equation fully so for example, f ' ' (0)= 0+2*C2+0 and becaues you are solve for C2 you divide 2 factorial to the other side giving you C2 = f' '(0)/2!. Its factorial because you have to factor in all previous derivatives
this is v good.
Nice work
Hello. Quick question, can be Taylor Series be represented as "composition" of simpler polynomials? If yes , than better numeric stability and order faster calculation. Thanks.
Amazing!!.. certainly helpful
Thanks a ton Dr Trefor
man you are AMAZING!!
you are simply amazing.
Sir ,is taylor series of multivariable uploaded on your channel??
Not yet sorry, but it is a good topic!
Best explanation.
thank you for sharing your knowledge
Why do you add all of the higher orders together? Why not just replace each previous order terms with the higher order term each time?
Lol, u had a whole lot to still say, the video is awesome ✨✨
awesome video. You deserve more views.
Liked for the title!
THIS IS GOLD!
9:28 it states that mod(x)
Radius
one great video! thank you very much !
better explanation 👍
Amazing video, thank you so much!
Sir,What is the need for derivatives here?how to imagine this,practically in physics
Thank you so much, sir 🙏🙏🙏
Most welcome!
absolute icon.
How could u put x-a in the place of X.
Then can I also put (n-a)! In the place of n! by saying the same reason you said. If that is correct you can also put x+a in the place of x by saying that it is a general case????
When a=o the graphs pass (0,1) when a>0 where is the location of that point
hello what does on steroids mean, sorry for the question, great video!
nice explanation