So glad I'm studying physics in a time where there is so much high quality vids of kinda advance math. You're great! Thank you so much! Lots of appreciation from Tel aviv
@DrTrefor3 жыл бұрын
You're most welcome! Glad to have some subs from Israel!
@naman40672 жыл бұрын
Me too
@hrperformance2 жыл бұрын
Mate I could agree more
@omargaber3122 Жыл бұрын
@@DrTrefor you mean palastin!!
@mianokasha14623 ай бұрын
free palestine
@shehabeldinhousein5875 Жыл бұрын
"... what parametrization does, that it tells us where all the points on the circle at some specific time t". sometimes such sentences are the thing needed to fill the gaps. And such sentences comes from someone who really understands the topic. Thank you!
@NuclearPhysix3 жыл бұрын
Driving from London once, I noticed a police car getting interested in the magnitude of my position vector. So I slowed down naturally. Love you, Professor
@DrTrefor3 жыл бұрын
Ha!
@NuclearPhysix3 жыл бұрын
@@DrTrefor You teach in a clear way that I love. I wish I had you as my Professor when I did that Engineering degree. You got me when you expressed speed as a position vector, made so much sense. Subbed!
@farrukhsaif1082 жыл бұрын
@@NuclearPhysix Speed would be the *magnitude of the rate of change of your position vector*
@diveintoengineering60893 жыл бұрын
The best explanation I've seen. I just failed my multivariable calculus course but your videos will be a valuable help during my next chance. Thank you!
@anotheryoutuberperson388 ай бұрын
Did you pass the second time around?
@gentlemandude13 жыл бұрын
Dr. Bazett, I often come to your videos thinking that I fully understand the topic, but inevitably during my viewing, you mention something that I hadn't considered. Thank you for presenting such wonderful and comprehensible mathematical insight. You're videos are gems!
@DrTrefor3 жыл бұрын
Thank you! It is tricky for sure as my current videos are presuming a lot of multicariable calc stuff. If you ever get lost, feel free to comment and I can link the relevant prereq video hopefully👍
@b49satyarani323 жыл бұрын
@Professor ~ ur video is so much visualising.
@tateallen99723 жыл бұрын
I hope you make money off of these videos because you deserve to. Thank you for all the help. You've helped me understand all my calc II - IV concepts, and I'm very grateful
@addifalcone28173 жыл бұрын
I’ve never been more grateful to find someone on youtube. This is helping me out so much for my calc 3 final tomorrow! Thank you!!
@DrTrefor3 жыл бұрын
Good luck!
@RyanMcCoppin2 жыл бұрын
I took vector calculus (Calc IV) in undergrad but my professor left off all the intuition/application and so most of the topics didn't make much practical sense. Really excited to go through this series!
@andrewkoulogeorge25693 жыл бұрын
The goat himself
@AninditaII3 жыл бұрын
Sir, I have seen many videos on advanced math but wow ,your videos make me feel it, incredible, and others leave me in half way of the course, u r a lifesaver , gonna watch all playlist.....
@DrTrefor3 жыл бұрын
It's my pleasure:)
@carter6132 жыл бұрын
The videos are great but listening to this guy lecture is eye opening.
@anaslahrichi11 ай бұрын
Really well explained. I especially like the intuition given and the graphics generated to support your teaching. Thanks !
@AidanHomewood3 жыл бұрын
Wow this was a lot more interesting and applicable than my lecturer. Thanks! You're amazing.
@lukefarley89843 жыл бұрын
thanks so much for taking the time to make this playlist its super helpful for undergrad physics here in the uk :)))
@user-nz5ml4de5s Жыл бұрын
Extremely grateful for these lectures! Thank you sir!
@DrTrefor Жыл бұрын
Glad you like them!
@joaquintorres8343 жыл бұрын
Short and concise, wonderful work! (As always). I'm starting to learn Diff. Geometry and this was helpful! Take care, love from Spain. PD: congrats on hitting the 100k, you deserve it :)
@DrTrefor3 жыл бұрын
Thank you!!
@nathanbrazil93452 жыл бұрын
Awesome video, I love how quickly you brought together multiple topics I've been learning about in my Calculus 4 class. Thanks for such clear explanations!
@udaysingh5167 Жыл бұрын
thanks for making calculus so easy and fun to study.
@newyorkguy1583 жыл бұрын
I'm taking vector analysis right now and am so excited at what I am learning from your videos. The conceptual explanations are very good.
@DrTrefor3 жыл бұрын
Glad to hear that! Excited to see your comment when you get to the end:)
@ahmedmusa517 Жыл бұрын
finally found someone who teaches because he likes teaching, I should puy my tuition for you sir,
@adityaswamy96473 жыл бұрын
Amazing Explanations Professor Love from India Thank you
@hdheuejhzbsnnaj2 жыл бұрын
Love how we get a breakdown of why police care more about the rate of change of your position vector as opposed to your arc length parameterization.
@Harry-ub2fv3 жыл бұрын
Again thanks, man!. Whenever I wanna understand some topic of multivariable calculus you've made that topic video.:)
@DrTrefor3 жыл бұрын
So glad it’s helping:)
@sutapamaji25103 жыл бұрын
Thank you __From India 🇮🇳
@truongngo63810 ай бұрын
You are so good! This is proper teaching
@theroyalplayer40333 жыл бұрын
thanks sir This video helps me a lot....love from India❣️❣️
@ananthanarayanan93783 жыл бұрын
Awesome video! Pls cover complete vector calculus soon. Ur explanation is very gud and makes these complex topics easily comprehensible for beginner students like me. Pls continue this series😃
@DrTrefor3 жыл бұрын
Thank you! The vector calculus series is coming out 3 days a week and will be done in about one more month:)
@anupriya73663 жыл бұрын
Aahhhh, here is the explanation of parameterization, found it,hashhh. Thanks professor
@thapaharis3 жыл бұрын
I have always enjoyed watching your videos. Thanks for math more enjoyable.
@strigiformsW3 жыл бұрын
Step 1: Read textbook and put formulas into Anki. Step 2: Watch Dr. Trefor Bazett Step 3: Practice Step 4: Ace test
@DrTrefor3 жыл бұрын
Lol awesome
@Hunter-zp9xb3 жыл бұрын
3:27 the curve is one dimensional but it exists in a three dimensional space, just as the circle is also a one dimensional manifold in a two dimensional space. Thus the smallest number of parameters tells you the dimension.
@sdsa007 Жыл бұрын
thanks this review is helping as a prerequisite for tensor calculus!
@naseemakel75883 жыл бұрын
Thank you Dr. From Saudi
@rafiakhan72793 жыл бұрын
Ma sha Allah extraordinary way of teaching 👍🏿
@isaacr7791 Жыл бұрын
Wish I had you as my professor!
@shanmugapriyam26238 ай бұрын
Need an online course from u Beautifully explained🤟
@bananamanjunior75752 жыл бұрын
There is actually a rational parametrization for the equation x^2+y^2= 1 it is [(1-t^2)/(1+t^2), 2t/(1+t^2)]
@matanshtepel12303 жыл бұрын
Thank you! So excited for these vids 😊
@DrTrefor3 жыл бұрын
Glad you like them!
@matanshtepel12303 жыл бұрын
@@DrTrefor they're excellent 😁
@Ehsanfarzin-iu9rh14 күн бұрын
Thank you so much, Dr. Bazett, for your incredible and in-depth teaching. I truly appreciate it! 🙏 Could you please recommend a textbook that aligns with this course?
@youkaihenge58923 жыл бұрын
Taking Calc 3 in Spring! Pretty excited for it. 😄
@DrTrefor3 жыл бұрын
Nice! You're going to love it, multivariable is so much cooler than single variable imo
@lanog403 жыл бұрын
How is it going so far? It's fun for me!
@hrperformance2 жыл бұрын
Thank you so much for these fantastic videos!
@simtholileqaukeni88782 жыл бұрын
Nice breakdowns.
@continnum_radhe-radhe2 жыл бұрын
Thank you very much sir 🔥🔥🔥
@billhopkins83303 жыл бұрын
Very helpful explanation!!!
@DrTrefor3 жыл бұрын
Glad it helped!
@adresscenter3 жыл бұрын
Very good quality channel Thx!
@DrTrefor3 жыл бұрын
Thank you!
@roivinikmossel29982 жыл бұрын
your videos are great.
@jet4682 жыл бұрын
thank you
@scholar-mj3om Жыл бұрын
Marvelous💯💯
@UllyanneFreire3 жыл бұрын
thank you for this, now i finally get it
@harshakontham453410 ай бұрын
love from iit bombay
@newyorkguy1583 жыл бұрын
What is your choice of textbook for MV and Vector Calculus?
@DrTrefor3 жыл бұрын
The "standard" full service calc books are Thomas and Stewart, both are fine
@fotballfredrik13 жыл бұрын
GOAT
@momen88393 жыл бұрын
Awosome...I want to know history of vector calculus and its relation with physics. particularly (flux,curl,circulation)
@DrTrefor3 жыл бұрын
We're definitely going to have a lot of connections to physics, particularly a bit later in the series:)
@momen88393 жыл бұрын
@@DrTrefor Is this any book present these conceptions with historical approach?
@dinamustafa61152 жыл бұрын
"whereas the time parameter here is reflecting the specific choices for a specific particle on a specific path along this curve so which do you prefer" could you explain this statement more ?
@MATT123Gaming3 жыл бұрын
430 likes and not ONE DISLIKE?!?!
@DrTrefor3 жыл бұрын
That's actually a pretty sick ratio
@MATT123Gaming3 жыл бұрын
@@DrTrefor so sick that math breaks for it🤯
@PREMKUMAR-kv1zp10 ай бұрын
Can you bring special course on Vector calculus.
@DrTrefor10 ай бұрын
I have a whole playlist on this!
@hikmatullahpakhtoon36943 жыл бұрын
Sir! As equation of a circle is not a function in x and y variable or i can just in cartesian coordinates. but sir ,after parameterising that equation does it become a function or not?
@DrTrefor3 жыл бұрын
Well yes, but not in the same sense. It is a function from [0,2pi] to a subset of R^2. So not the graph of a function from R to R like you might be imagining.
@hikmatullahpakhtoon36943 жыл бұрын
@@DrTrefor thank you sir.
@hubenbu2 жыл бұрын
A huge new discovery: the domain of time is defined in terms of 0 and Pi, there must be some intrinsic connections between the physical concept of time and this mathematical notation Pi.
@prashanthkumar03 жыл бұрын
cool... vector calculus❤️❤️❤️❤️❤️
@DrTrefor3 жыл бұрын
Love vector calc so much:D
@prashanthkumar03 жыл бұрын
@@DrTrefor yeah... but unfortunately i won't be able to give it some time... because nowadays im busy in teaching myself chemistry for board exam ... i have paused my coding also ...
@DrTrefor3 жыл бұрын
Haha yup have to pass the exams first:D
@physicsmathsworld20333 жыл бұрын
Awosome 😀❤️❤️❤️❤️❤️
@elchanu12392 ай бұрын
How to parametrize a curve while maintaining dimensional accuracy. Like, say I want a curve that looks like the exponential curve but I want the curve to have dimensions of length L. What do I do? Do I do it like x(t) = se^t, and y = st?
@jasonarmondo46193 жыл бұрын
7:41 ' doesnt depend on the specific path along the curve", but isnt this just the curve , since the curve defines the path? Or do you mean going along the curve at different speeds, which correspond to different time parameterizations of the curve (as opposed to *the* arclength parametrization, which has unit speed the whole way'
@DrTrefor3 жыл бұрын
It's like a highway. The highway is fixed. How you drive down the highway, faster or slower, doesn't change anything.
@turkishlegends449911 ай бұрын
Which book you are following for this course??
@DrTrefor11 ай бұрын
Thomas calculus
@user-ql8wm4gy3v Жыл бұрын
講得很好ㄟ 哥 謝謝你 我的超人
@miguelposada36846 ай бұрын
love the video, audio a bit crucnhy prob the mic
@forresthu6204Ай бұрын
Hi Dr Bazett, which textbook should i use in order to follow this playlist?
@antonia54233 ай бұрын
Vectors exam in a week. Let’s go B)
@sabinacharya5117 Жыл бұрын
if position vector (r) represents the displacement, here in the curve(circle), r is normal to the curve. Similarly, if the derivative of r represents the velocity, here in the curve(circle) velocity is along the tangent to the curve. but displacement and velocity must be in same direction. Isn't it? I'm a bit confused over here...
@Falinaschi Жыл бұрын
Dr. Bazett can you help me? How to parametrize a circle in 3D space from three points?
@delsonmcgriffin19892 жыл бұрын
4:22
@mortezakhoshbin3 жыл бұрын
i cant thank you enough...
@DrTrefor3 жыл бұрын
you're most welcome!
@ArmenianDude885 ай бұрын
no kappa, explanation slapped
@danieltambunan9717 Жыл бұрын
Can someone explain, why the r(t) is described using cos(t) i + sin(t) j ? Why not using the circle formula x² + y² = radius instead?
@DrTrefor Жыл бұрын
It’s the difference between describing a road and describing a particular way that a car drives along the road, with for instance a velocity you can compute at each point.
@krzysztofciuba2712 жыл бұрын
OK.Hm, then what is the unit tangent vector (of any curve)? On the definition It (this unit for r (t), r'(t)=v) =: (vector)v (t)/v(t)/(magnitude and also (this unit for r(s);s-arclength= dr(s)(vector)/ds =((dx(s)/ds;dy(s)/ds;dz(s)/ds))and this =1 (on: ds=v(s)ds,then v(s)=ds/ds=1); /v(s)/=/v(t)/(the magnitude)-is it ok? I want t be sure! (I see a huge problem with the use of it or rather ignoring in the application to 4-d spacetime interval: the unit of (spacetime interval), or the unit of time parameter, esp. the unit of proper time- a huge mess in textbooks since....A.Einstein and P.Langevin's,AD 1911 lecture hoax! Again: the unit arc tangent vector and the unit of arclenght=1(or not?).It is just another geometric argument contra ...textbooks' idiocies (on "time dilation"'s interpretation.
@krzysztofciuba2712 жыл бұрын
in few minutes i discovered even on KZbin I am right (in Prof. Leonard's lecture); u missed in your lecture: dr(s)/d(s)=1. A proof of all 110 years of writings about "proper time" (definition, symbol)is a perfect BS without defining the unit of proper time and the unit arc tangent of spacetime interval/unit arclength!
@captaingerbil12343 жыл бұрын
I've never seen a video with such an impressive like/dislike ratio and I can see why.
@DrTrefor3 жыл бұрын
That actually is pretty crazy. If anyone ever dislikes this, I’m mad at you lol
@captaingerbil12343 жыл бұрын
@@DrTrefor Well my good Doctor, may it remain forever untainted.
@karthiks86653 жыл бұрын
Please recommend me a book to learn vector calculus basics
@daniyaaaqil3712 жыл бұрын
Sir ! I am not getting it can you please help me I am in hot water right now
@ludwigimbihl4965 Жыл бұрын
i love you
@syz911 Жыл бұрын
7:10 min What is the "ass?"
@aizazhussainaizazofficial12022 жыл бұрын
outstanding sir , but if possible speak a bit slow......
@MarkCliffeIsGay5 ай бұрын
Great video. It would've been helpful to see an example at the end though, even an easy one. Otherwise thanks!