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The ENTIRE Calculus 3! 

KoothBrush
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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 : - )

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7 авг 2024

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Комментарии : 74   
@koothbrush
@koothbrush 9 месяцев назад
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 месяцев назад
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 месяцев назад
the original trilogy
@koothbrush
@koothbrush 9 месяцев назад
Cinematic masterpiece 😂
@EndG00gle
@EndG00gle Месяц назад
Unless you’re on a quarterly system.
@capekraken2672
@capekraken2672 Месяц назад
I can't believe we got up to calc 3! . Will you now do a video on calc 7?
@drakesmith471
@drakesmith471 Месяц назад
Damn, I was gonna say “what’s the factorial calculus?”😂
@amoghng5303
@amoghng5303 Месяц назад
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 Месяц назад
Calc 7 would probably just be advanced functional analysis or operator theory
@drakesmith471
@drakesmith471 Месяц назад
@@user-hf5ij3rx6q would love to learn that.
@daales.
@daales. Месяц назад
wait there’s no calculus 6
@foolwhodreams
@foolwhodreams 9 месяцев назад
Exam Monday!!! Loved the video man
@dorukme
@dorukme 6 месяцев назад
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 6 месяцев назад
appreciate it :)
@Osvaldo1sr
@Osvaldo1sr Месяц назад
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 месяцев назад
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 9 месяцев назад
Glad it was helpful! Enjoy the calculus journey 😂
@016fog3
@016fog3 Месяц назад
I actually understood that I only know what derivative and integrals. Easier than expected! Yay
@ranggaherlambang605
@ranggaherlambang605 Месяц назад
Derivative is easy but not with integral.
@gam7880
@gam7880 9 месяцев назад
Nearly 2k subs 🎉
@andremalki25
@andremalki25 Месяц назад
Very nice
@brubsi9658
@brubsi9658 Месяц назад
in brazil this is calc 2
@TommyCartesian
@TommyCartesian 2 месяца назад
How do they use directional derivatives and vector fields for space travel ?
@bryn1714
@bryn1714 9 месяцев назад
This is so good, much better than my math teacher
@curtpiazza1688
@curtpiazza1688 Месяц назад
Cool! 😂
@Goose____
@Goose____ 9 месяцев назад
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 9 месяцев назад
I got your back 👀
@malekabbr
@malekabbr Месяц назад
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 😔😔
@antonbaydala9780
@antonbaydala9780 9 месяцев назад
Is there Any chance that you make a video like this on linear algebra or differential equations?
@koothbrush
@koothbrush 9 месяцев назад
I was actually planning to do linear algebra next!
@antonbaydala9780
@antonbaydala9780 9 месяцев назад
@@koothbrush hell yeah, cant wait to see it!
@kangwa8589
@kangwa8589 Месяц назад
​@@koothbrushstill waiting
@troybird8253
@troybird8253 7 дней назад
The video is near master class but still only functions at a grade 12 level calculus ver. 3.
@phat5340
@phat5340 Месяц назад
This is for engiis right?
@theorigin8537
@theorigin8537 28 дней назад
Hi everyone, according to the end of this video, I just changed my name. My new name is now “absolutely nuts”
@readjordan2257
@readjordan2257 Месяц назад
This is all just Calculus but the second semester.
@michelerota1897
@michelerota1897 28 дней назад
Maan i didn't even know calculus 6 existed!
@kobynmalone2134
@kobynmalone2134 Месяц назад
I never even got to calc 3 and now you’re talking 3!?
@airmand7718
@airmand7718 6 дней назад
What is calculus 6
@pislerpaul8984
@pislerpaul8984 16 часов назад
At my uni those are all topics for the 2nd semester lol
@Carrymejane
@Carrymejane 6 месяцев назад
I didn't know anything but watching it until the end, because I understand nothing at least i know i am sane now
@Custodian123
@Custodian123 7 месяцев назад
Do Calculus 4!
@Carrymejane
@Carrymejane 6 месяцев назад
There is calculus 4??!?!?
@Game_Sometimes
@Game_Sometimes Месяц назад
How’d we get to calculus 24 😮
@sapwho
@sapwho Месяц назад
@@Carrymejane Real Analysis 💀
@Iamfafafel
@Iamfafafel Месяц назад
Not bad but you didn’t talk about greens/stokes
@ededediblemonsta7481
@ededediblemonsta7481 24 дня назад
a
@jowillll
@jowillll Месяц назад
Are u indonesian?
@atl0520
@atl0520 Месяц назад
what about like greens theorem and stokes theorem and all that bs…
@melonking9752
@melonking9752 22 дня назад
That is Calculus 6. not Calculus 3
@yuukil5522
@yuukil5522 11 дней назад
he did say it was calc 3!, so i think he’s in the clear
@melonking9752
@melonking9752 11 дней назад
@@yuukil5522 Duede that was a joke. There isn't a thing called calc 6 at the first place. 3!=6 that was the joke.
@yuukil5522
@yuukil5522 11 дней назад
@@melonking9752 yes, and i was extending the joke, as notated by the fact that i wrote 3! and not 6. Bet you’re fun at parties.
@RvmvVnvvctv.9k
@RvmvVnvvctv.9k 9 месяцев назад
🐸🐸 frogged :D
@DCandM
@DCandM 7 месяцев назад
Newton would be proud
@penguinjuice7543
@penguinjuice7543 2 месяца назад
Newton didn't know anything about calc 3?
@jesscan4563
@jesscan4563 Месяц назад
are you filipino ?
@zhess4096
@zhess4096 Месяц назад
he sounds Filipino yes
@jesscan4563
@jesscan4563 Месяц назад
@@zhess4096 thanks. i disliked the video and reported for hate speech 🥰
@MathStuff1234
@MathStuff1234 Месяц назад
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.
@r.a.1043
@r.a.1043 Месяц назад
that’s calc2
@Leo-hy8ct
@Leo-hy8ct 18 дней назад
In almost every college this is Calc 3
@gameplay-ld6ch
@gameplay-ld6ch 13 дней назад
@@Leo-hy8ctWell, in universities it is 2
@Leo-hy8ct
@Leo-hy8ct 9 дней назад
@@gameplay-ld6ch I was talking American, I don’t know a single university in my country that doesn’t teach this in calc 3
@gameplay-ld6ch
@gameplay-ld6ch 9 дней назад
@@Leo-hy8ct I’m pretty sure you have, because we study by Barkley and MIT courses
@russellbambergertwo
@russellbambergertwo 5 дней назад
​@@gameplay-ld6chMIT is an exception. Most universities in the US teach series and methods of integration as calc 2, and multivariate calculus as calc 3
@brickyy3106
@brickyy3106 Месяц назад
you’re filipino i just know it
@potatoesalad5103
@potatoesalad5103 26 дней назад
ngl shit seems easy
@royalroamer1
@royalroamer1 3 дня назад
it depends on your professor and the course in college
@jonathangreene1585
@jonathangreene1585 4 месяца назад
isn't this calculus 4? Calculus 3 is vectors and series I thought.
@thephantomminish2436
@thephantomminish2436 Месяц назад
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 Месяц назад
@@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 Месяц назад
@@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 Месяц назад
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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