The ENTIRE Calculus 3!

  Рет қаралды 45,467

KoothBrush

KoothBrush

Күн бұрын

Let me help you do well in your exams!
In this math video, I go over the entire calculus 3. This includes topics like line integrals, partial derivatives, multivariable functions, vector fields, and so on.
00:00 Intro
00:07 Multivariable Functions
00:45 Contour Maps
01:23 Partial Derivatives
02:33 Directional Derivatives
03:30 Double & Triple Integrals
04:25 Change of Variables & Jacobian
05:23 Vector Fields
06:28 Line Integrals
07:27 Outro
My focus is to help people who don't necessarily like Math finally appreciate its beauty. I want them to see that Math isn't all too difficult, and once understood, Math could be really cool : - )

Пікірлер: 62
@koothbrush
@koothbrush 9 ай бұрын
Hope you guys enjoy the video! Now that you have an overview of Calculus 1-3, what do you think of it? 🤔
@pyotrbagration2438
@pyotrbagration2438 9 ай бұрын
I had multivarib in C3 , ContourMaps in C2 , partial derivis in C4 (yeah we had that) , we didnt had directional dervis, double/triples was part of C2, Jacobian was C3 , vector fields C1, Line integrals C2. Then again we called in Math 1/2/3/4, this calculus name came later. Great video bro, keep it up.
@SlyMiku
@SlyMiku 9 ай бұрын
the original trilogy
@koothbrush
@koothbrush 8 ай бұрын
Cinematic masterpiece 😂
@EndG00gle
@EndG00gle 11 күн бұрын
Unless you’re on a quarterly system.
@capekraken2672
@capekraken2672 Ай бұрын
I can't believe we got up to calc 3! . Will you now do a video on calc 7?
@drakesmith471
@drakesmith471 Ай бұрын
Damn, I was gonna say “what’s the factorial calculus?”😂
@amoghng5303
@amoghng5303 20 күн бұрын
Your almost there! keep on grinding, its gonna take time to go from calc 3! or calc 6 to calc 7
@user-hf5ij3rx6q
@user-hf5ij3rx6q 9 күн бұрын
Calc 7 would probably just be advanced functional analysis or operator theory
@drakesmith471
@drakesmith471 9 күн бұрын
@@user-hf5ij3rx6q would love to learn that.
@foolwhodreams
@foolwhodreams 8 ай бұрын
Exam Monday!!! Loved the video man
@dorukme
@dorukme 6 ай бұрын
Bro you really did give me shivers. This series gave me exactly what i've been through in my cs degree. Really nice video thank you for making it.
@koothbrush
@koothbrush 5 ай бұрын
appreciate it :)
@Osvaldo1sr
@Osvaldo1sr Ай бұрын
I start 3rd semester of Applied Maths and Computer Science in August, this is useful for having an outlook. Thank you! Greeting from Mexico 🌮🌮
@colindresjairusjasper3589
@colindresjairusjasper3589 9 ай бұрын
Good content. As a high school student, it feels a bit overwhelming to move on to 3D so it's nice getting a heads up 👍
@koothbrush
@koothbrush 8 ай бұрын
Glad it was helpful! Enjoy the calculus journey 😂
@gam7880
@gam7880 9 ай бұрын
Nearly 2k subs 🎉
@TommyCartesian
@TommyCartesian Ай бұрын
How do they use directional derivatives and vector fields for space travel ?
@016fog3
@016fog3 Ай бұрын
I actually understood that I only know what derivative and integrals. Easier than expected! Yay
@ranggaherlambang605
@ranggaherlambang605 10 күн бұрын
Derivative is easy but not with integral.
@daales.
@daales. 22 күн бұрын
wait there’s no calculus 6
@theorigin8537
@theorigin8537 7 күн бұрын
Hi everyone, according to the end of this video, I just changed my name. My new name is now “absolutely nuts”
@bryn1714
@bryn1714 9 ай бұрын
This is so good, much better than my math teacher
@andremalki25
@andremalki25 Ай бұрын
Very nice
@antonbaydala9780
@antonbaydala9780 8 ай бұрын
Is there Any chance that you make a video like this on linear algebra or differential equations?
@koothbrush
@koothbrush 8 ай бұрын
I was actually planning to do linear algebra next!
@antonbaydala9780
@antonbaydala9780 8 ай бұрын
@@koothbrush hell yeah, cant wait to see it!
@kangwa8589
@kangwa8589 Ай бұрын
​@@koothbrushstill waiting
@brubsi9658
@brubsi9658 13 күн бұрын
in brazil this is calc 2
@michelerota1897
@michelerota1897 7 күн бұрын
Maan i didn't even know calculus 6 existed!
@kobynmalone2134
@kobynmalone2134 9 күн бұрын
I never even got to calc 3 and now you’re talking 3!?
@Goose____
@Goose____ 9 ай бұрын
Bruh i just watched the calc 1 and 2 vids this morning now i get the third? I've never been so lucky
@koothbrush
@koothbrush 8 ай бұрын
I got your back 👀
@phat5340
@phat5340 Ай бұрын
This is for engiis right?
@malekabbr
@malekabbr Ай бұрын
Instead of me just watching this video and saying oh may be it would be easy then remember I have to revise my calc 2 lessons 😔😔
@curtpiazza1688
@curtpiazza1688 Ай бұрын
Cool! 😂
@Carrymejane
@Carrymejane 5 ай бұрын
I didn't know anything but watching it until the end, because I understand nothing at least i know i am sane now
@melonking9752
@melonking9752 Күн бұрын
That is Calculus 6. not Calculus 3
@Iamfafafel
@Iamfafafel Ай бұрын
Not bad but you didn’t talk about greens/stokes
@Custodian123
@Custodian123 6 ай бұрын
Do Calculus 4!
@Carrymejane
@Carrymejane 5 ай бұрын
There is calculus 4??!?!?
@Game_Sometimes
@Game_Sometimes Ай бұрын
How’d we get to calculus 24 😮
@sapwho
@sapwho Ай бұрын
@@Carrymejane Real Analysis 💀
@readjordan2257
@readjordan2257 28 күн бұрын
This is all just Calculus but the second semester.
@r.a.1043
@r.a.1043 27 күн бұрын
that’s calc2
@jowillll
@jowillll Ай бұрын
Are u indonesian?
@atl0520
@atl0520 16 күн бұрын
what about like greens theorem and stokes theorem and all that bs…
@DCandM
@DCandM 6 ай бұрын
Newton would be proud
@penguinjuice7543
@penguinjuice7543 Ай бұрын
Newton didn't know anything about calc 3?
@ededediblemonsta7481
@ededediblemonsta7481 3 күн бұрын
a
@jesscan4563
@jesscan4563 Ай бұрын
are you filipino ?
@zhess4096
@zhess4096 Ай бұрын
he sounds Filipino yes
@jesscan4563
@jesscan4563 Ай бұрын
@@zhess4096 thanks. i disliked the video and reported for hate speech 🥰
@RvmvVnvvctv.9k
@RvmvVnvvctv.9k 9 ай бұрын
🐸🐸 frogged :D
@MathStuff1234
@MathStuff1234 Ай бұрын
I'll be that guy... f(x,y) is a 2D function, not 3D. When we assign it a variable z then sure its nice to view graphically in a 3rd dimension but if we're being technical, f(x) is 1D, f(x,y) is 2D, f(x,y,z) is 3D and so on. This is because for f(x,y) you're mapping from R2 (x,y) to R1 (z). This is a hard point to make clear given that you usually start calc 3 with unit vectors in 2 and 3 space so by the time you get to 2D functions that make nice surfaces your brain is thinking of them as vectors which require 3 orthogonal unit vectors. Otherwise, nice video. Concise, to the point, hits the big topics, well done.
@brickyy3106
@brickyy3106 Ай бұрын
you’re filipino i just know it
@potatoesalad5103
@potatoesalad5103 5 күн бұрын
ngl shit seems easy
@jonathangreene1585
@jonathangreene1585 4 ай бұрын
isn't this calculus 4? Calculus 3 is vectors and series I thought.
@thephantomminish2436
@thephantomminish2436 Ай бұрын
Series is in calculus 2. And I haven’t done calculus 3 yet, so I don’t know, but there are vectors in calculus 3 and Multivariable calculus is also calculus 3.
@jonathangreene1585
@jonathangreene1585 Ай бұрын
@@thephantomminish2436 Just finished calculus 4. Either there are different curriculums, or it's high school university differences in the course or something. Cause calc 2 is all integration.
@thephantomminish2436
@thephantomminish2436 Ай бұрын
@@jonathangreene1585 Where I’m from, calculus 1 is the limits, derivatives, and a little integration, calculus 2 is harder integration, series, parametric equations, and other things like that, and calculus 3 is multivariable calculus Are you from the USA though?
@valen0276
@valen0276 Ай бұрын
I would guess calculus topics vary depending on location. Here we see all this in calc 3 but stuff like series is in calc 4 for some reason
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