A Year's Worth of Calculus in 1 Minute
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- Опубліковано 3 кві 2020
- For anyone planning on taking AP Calculus or Calculus in college, here's what a year of Calculus looks like in a nutshell. I go over basic derivatives and integrals. If you understand these two problems, you'll have a solid foundation of Calculus 1.
If you're reading this, hi! I'm ShivVZG, a Sophomore at the University of Southern California. I'm on a journey to critique every single aspect of the educational system in a satirical and playful manner.
If you want to join me on this journey, subscribe! : D
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#Calculus #1Minute #ShivVZG
If you understand both of these two problems, you’re gonna get at least a B in AP Calculus xD
Nah mate those were ez problems that will you an F still pretty ex doe xD
But the same concepts apply to even the harder ones, just with some extra rules lol. Integration of volumes and rotations might be on another level though :P
Taxonomic Quantum mate shiv is smart
Further mechanics is hard. Tm on that
@@ShivVZG . Volumes and rotations are decent, unless you understand your math and the problems behind the question.
It’s all fun and games until the integrals of inverse trig functions come out
XD 100% true tbh
Add u-sub and you've got yourself a math jamboree
And trig substitution
Oof
And integration by parts
“Instead of a squiggly you have a solid line” lost me.
420 likes
RossLovesDisneyNature damn
on me
when you're the 911th like....
once u integrate the only thing left is the difference when u plug the interval in
change the title to “One year of calculus in 69 seconds” can guarantee more views
Oh god lmaoo
Absolutely, funny number is in fact, very funny.
Nice
🤣🤣🤣
🤣🤣
POV: there’s 1 minute before the calculus test and you didn’t study
and now you failed lmao
I got a C+ :D
Edit: The teacher made a wrong correction, I have a B-
Pog
@@justacrazyguy1929 I’m pretty sure I would have to sleep in the yard if I came home with a B-
@@samgruzinskiy my bad, I slept pretty badly before the exam
@@samgruzinskiy not necessary bitch fuck off
Actually, it's that the mitochondria is the powerhouse of the cell.
underrated comment
mookay
LMAOOO
This will always be on our brains
@@enriquemaldonado3194 yeah man its been stuck in my brain like forever how
Let's do some u substitution, integration by parts, partial fractions, related rates, revolutions over x/y axis/ volume, and series lol
hahaha now we're getting into more complicated territory xD
Volumes of revolution you just multiply by pi done
ShivVZG thats what you learn in a year in my school
Don't forget differentiation with trigonometric function and exponential function
This isnt even difficult :/, this is what we have to learn in the netherlands
Everyone is a gangster until calculus shows up in Chemistry
Say Sike right now !
@@daversechannel3541 I Wish Fam. 😔
Eh ? In chemistry ? I am so muddled what grade or level do we have calculus in chemistry ‽
@@raghav5095 o bhai iit doge taab malum parega
Oh no
Limits
Continuity
Differentiability
Derivatives
Maxima Minima
Monotonicity
Rate of change
Tangents and normals
Indefinite Integrals
- U-sub
- trigno
- by parts
- partial fractions
- special integrals
Definite integrals
- properties
- sum of limits
Area under the curve
Differential equations
Well done
This but unironically
TRIG*O*NO
This is just sad... i barely know half of these and im still struggling...
@@enriquesuarez7113 😂
man if ap calc was actually this easy i would've gotten an A instead of barely getting a B both semesters
edit: just finished a semester of calc 2 at university and got an A- so i suppose you could call that character development
I love your profile pic
I got an A babbbbyyyyyyy
Semesters? What do you mean? Don’t you learn this stuff in high school?
Frederik Brandt i learned it in high school but not everyone does.
@@frederikbrandt424 I can't even take pre calc in HS because my whole second half of the day is taken up by Cybersecurity and Computer Hardware class and they only offer pre calc in the second half of the day. But I'm not giving up classes that I'll be far more interested in and give me a boost on that stuff heading into college. Plus if I give those up I'd have to get 2 more filler classes like ag or cooking... We stopping at Algebra 2 in HS over here...
Me: That sounds easy enough.
The Series: Allow us to introduce ourselves.
These comments r making me hv PTSD 😂
Nigga it’s not even that bad just memorize the formula and ur good
@@OsirusIrdia what about the proofs
@@samajlo4336 You only deal with proofs in calc 1, not with series
na fr series sucks so much
@osirusirdia nah im in calc 1 and we're learning series diff eq linalg and multivar :D
LMAO SORRY I DIDN'T REALIZE THIS WAS LIKE 2 YEARS AGO LMFAO
A wise kid from my school once said: “math was easy until they added the English alphabet to it”. Nothing but facts right there
You'll miss only having to deal with the english alphabet when they add the greek one into the mix.
@@bonogiamboni4830 shit, I only know 5 Greek letters!
@@bonogiamboni4830 Hold up wot? Greek fucking letters?!
Goodbye world. 😫🔫
@@S3NDP13 Epsilon function
@@samuelsurfboard9887 epstein function
I like this, it actually makes people more confident in themselves prior to them being in calculus; However, when your in calculus, like me, you know there is a lot more to derivatives and integrals than just the power rule on quadratics.
exactly. If he really wanted to do an effective 1-minute calculus I semester, teach the difference quotient real quick. Theoretically anyone could differentiate anything with it (albeit no shortcuts).
Dude that's literally 2 days worth of calculus in my school at the very most.
They told us in 5 mins and said - use these results kids, it saves your time..
seems more like 2 months of regular calc and 15 days-1 month of AP calc
What do you do the rest of the time?
@@antonhelsgaun math
@@antonhelsgaun This video just showed very basic integration and differentiation. There are a lot of types and scenarios that they teach you in class. Some can be very rigorous and challenging. There are also applications of derivatives and integrals.
Precalc: “We’re going to jump from basic Algebra to conics and matrices and sequences and series and limits.”
Calc: “But have you tried taking the derivative of THIS??”
@Kaede basic series like Sn and shit
Kaede i did do matrices
bruh im taking accelerated precalc and we're not even doing precalc we're doing trig
it's december and we're learning double angle formulas
@@djsaidez271 precalc is kinda all trig though, or at least was in my class. It's all about the unit circle and the 6 trig types.
@Kaede everybody???
Me: not too bad, I can do thi...
Trigonometry has entered the chat
Vector has entered the chat
Matrix has entered the chat
Me: well shi-
WHAT
Basic trig is quite simple
I am talking about ultra basic trig
@@devanduraipragash6106 I was talking about the trig that’s used in calculus, not the basic one
@@MaidenlessScrub ok sry
Inverse trig has entered the chat
I’m gonna take AP calc my junior year and this really helped. I always wondered what these terms meant and now I know, thanks!
Since you watched this video you should probably skip AP calc and go straight to differential equations. No need to waste your time.
taking it this year, my junior year, and good luck, this class actively gives me headaches
@@lenathefirst_4574 any tips for AP Calc ab? I’m going to do it in my senior year next year and do pre Calc over the summer
squiggly line :)
Just a freshman in highschool wondering why this is in my recommendations
Edit: Now I'm a sophomore and I'm suffering in Chemistry
Edit: Now I'm a junior and I'm suffering in AP Physics and APUSH
Gang ✊
Oh I and class were freshmen in high school too when the Physics teacher backhanded us with calculus in linear motion.
Gonna be a senior next year and Ima take Calc AB. All I can say is that you should try to get A's all year long in Algebra 2 when you get there so you can skip precalc; I realized too late that precalc is a waste of time to some extent.
I feel old and i'm a junior
Bruh same
As someone who’s currently in AP Calculus, I can confirm. There are a couple other smaller concepts such as U-substitution, limits, curve sketching, optimization, etc, but derivatives and integrals are definitely the building blocks for everything you will learn in calc.
I've taught Calculus, and the amount of time used to cover differentiating and integrating something as simple as polynomials is much much less than one year. Total time for both probably one hour.
e^x: " *Am I a joke to you* ?"
Man eulers number combined with logs, lons, and exponential on exponential derivatives got me fucked up in all sorts of ways i didnt even know existed in my last semester of hs
@@firewall5189 ions?
@@firewall5189 excuse me what
@@antonhelsgaun he probably meant Ln (natural log)
e^f(x): "Hold my beer!"
Week #12 of quarantine I’m teaching myself math for absolutely no reason and I hate math
Barrikz i forgot everything i learnt last year :/ im gonna hope for the best ....
Lol it didn’t go so well for me when I forgot all my basic algebra after quarantine started
Keep going
i- why?
I love Math , I'm in the 7th grade I did not understand a word he said , but one day I will.
"One year of calculus" my ass. We covered this in one lecture in my HS AP calc AB class.
In freshman year of HS, we had a calculus intro series, like 5 classes, and we learnt more than this... power rule, chain rule, implicit differentiation, u sub, I by parts and rates
As a AP calculus teacher, this is partially true. Most of the class is focused on derivatives and integrals. But it’s applying them where students struggling. This includes curve sketching, related rates, optimization, volume of solid revolutions, etc. You won’t easy easy questions like this on exams.
I like related rates, but I find one in an odd few are phrased a bit ambiguously or confusingly in general.
Curve sketching isn't too bad. Graphing rational functions with curvilinear asymptotes is good fun especially.
Lol. I learned all this in 3 months on khan academy. But there are also other techniques for finding derivatives and integrals but this is the main idea. You should also understand what limits are but that's a really easy concept.
So true, like chainrule uses the derivatives concept but has a few additional rules and then there's integrating volumes and rotations and differential equations xD
bruh that epsilon delta shit is not easy
@@bartchen5628 😂😂😂😭😭😭 truth brother. Those proofs were hella annoying
Hi tatan
@XBorg0 hello. so you know shivvzg too cool.
Lmao 5 seconds in to calculus, and you're already teaching them differential equations xDDDDD. The y' is the same as dy/dx, the foundation of Diff EQs
:P
Speak
E N G L I S H
Please
all derivative problems and integrals are literally differential equations. lmao.
@@minecraftmarioboy5012 Sorry, we only speak Greek here in the world of mathematics.
I think these kinds of videos are a must watch for introducing yourself to a topic. It can't replace actually comprehensively going through the material but it's a really good way to know ahead of time what to expecg
Nice video! It’s a good rundown of the basics. It obviously gets more complicated because classes will have you learn the practical applications of derivatives and integrals. And also all the complications that come up when you aren’t working with polynomial functions.
I mean I was literally born with the mathematical equivalent of illiteracy (dyscalculia, or innumeracy, if you prefer that), I don't understand basic multiplication, subtraction, addition or division, let alone counting past ten, the very concept of maths fills me with frustration and confusion, throughout primary school and high school I fluctuated between failing every maths subject or finally memorizing something about a maths subject and not being able to retain that knowledge, but this felt a lot more pleasant than any maths classes I've sat through, and I feel like I've actually learned something from it, even if this is basically diving into the deep end, but I probably won't be able to retain it, unless I'm periodically revisiting this video for the rest of my life, still though, at least I have some grasp of it, but thank you nonetheless.
Actually in general I wish I discovered your channel 5 years ago.
I'm dyslexic when it comes to maths.
I've heard that people with dyscalculia struggle with basic math but are actually able to understand more complex and abstract ideas. So maybe not all is lost?
Lol, try to solve a partial differential equation and see for yourself if it is that pleasant
If only it were this simple. Oh how I hate the quotient rule, nobody want to divide functions
I just use the product rule, like if it is u/v i just take u*(1/v) then product rule...it's easier
Kishorekumar Sathishkumar im sorry but that’s some of the dumbest shit ive ever heard im guessing the most you’ve ever encountered is polynomials?
@@preteensuicide3369 Why is that dumb? I got through two years of AP Calc by doing that. If anything, it's a lot smarter to find applied ways to make problems easier than to just memorize a formula because your teacher told you to.
@@preteensuicide3369 I've seen PhD students use that method so who are you to call it dumb?
@@kishorekumarsathishkumar1562 Doesn't that require chain rule though?
It took me a full year just to get my head around this, and then i failed calc in my final year. So joy. This video has resurfaced my high school depression.
honestly id watch videos of u explaining calculus im learning that rn and you explain pretty well
I don't know why I'm watching this
I still have like 5 years to learn this
5 years? Are you in 6th grade?
7th (at the time of the comment)
@@umcuber3399 no knowledge is waste😁
I’m back again and am finally starting Calculus
It’s crazy how fast time went by
(This is UMCuber)
With the outbreak of the coronavirus, all of the AP Tests are open book, collegeboard themselves said open notes 😱
2 hours before my AP Calc exam!
Hey, did you think you did well in the AP Cal AB test? I sure did, didn’t get sleep that night xd
@@somesandman8328 yup i think i did well. Hopefully i got a 5
You know, I hope we both get 5s or at least 4s. (SOVIET RUSSIA THEME INTENSIFIES)
@@somesandman8328 Yup hopefully we did well. Hope fully everyone that took an AP exam got a 5(COMMUNIST SONG BLARING)
Thanks for covering my first week of AP Calc AB
Thanks for recommending this to me 4 hours after my Calculus final, UA-cam.
It's all fun and games until chain rule quotient rule product rule an integral by parts come for your neck
Derivative, limit, integral, all in one: Insect!
But you didn’t find the derivative through epsilon-delta proofs. 0/10
Calculus Student: PTSD INTENSIFIES
My teacher literally gave up on trying to teach them because no one in my class was understanding what the hell was going on lol. I had to watch the same khan academy video like 20 times before I just barely understood them enough to do the homework.
Good to know I can understand the basics lol
They taught us how to find the derivative in after school extended maths sessions, but that got cut short due to covid :(
I wish this was the only content covered in my AP Calculus Class
Calc 1 - 75% derivatives 25% integrals Calc 2 - 50% U-sub 25% integration by parts 25% shell/disks/washers
I'd say Calc I is 25% limits 50% derivatives 25% integrals. Also, in Calc II you need summations of series in there somewhere.
im in calc 1 and i'm doing all that
dish... washers? calc is daunting
Don’t let the Maclauren Series fool you, it’s only a special case of the Taylor Series
Hahahahahahahahaa
Imagine if every class was this short, then you would be able to finish an entire school year in a few minutes
I literally learned this 4 months ago before covid and now I don't even remember how to find the integral
Boil away the practical applications and this is all of what we did in my college financial calculus class
This is like what you write when you're just bsing an answer on a test lmao. If anyone thinks they'll be able to get through AP calc with just this they'll be in for a rough time.
Idk, he explained it pretty well. This was how I practically thought about problems during the AP Test, and I still got a 5. Obviously he didn't cover everything, but it isn't inherently wrong or bad or anything.
Tbh this is simply a joke video lol
Two mins ago: MINDBLOWN
Two mins later: Wait, I get it now.
Honestly tho, this video is all I needed to recall EVERYTHING I learned in Calculus! Thanks
There's so much more than this. Limits are fundamental to understanding how derivatives work. Integrals get WAY harder. Applying these types of things isn't easy. While this does cover the basics of two major calculus topics, these really only scratch the very surface in the grand scheme of things and saying that understanding both of these things will get you at least a B is very bold and misleading.
I haven’t taken calculus yet, in fact, I’m in 7th grade. don’t ask why I’m here. I think his goal is to just help people understand the main parts of calculus. there is rules that he hasn’t touched on, (at least I assume there is) but with this basic understanding, It isn’t going to be as hard as going into calculus knowing nothing.
@@velocity_2314 It's more of a facade than a basic understanding. Take it from me and my bachelor's in math. Mathematics, from kindergarten through graduate school, is composed of building blocks that support one another. You can't understand multiplication until you understand addition, you can't understand linear algebra until you understand set theory, etc. This video simply gives you two of the blocks that you encounter in a calculus class. Yes, they are two very prominent topics in calculus. However, it doesn't put into perspective how many blocks they support, nor how many blocks they're supported by. You will need to understand all of these blocks to be successful in calculus.
The only point I'm trying to make is that if you go into a calc class after watching this video and expecting it to be this easy, prepare to be disappointed. Understanding how these couple of problems are done will not put you ahead the curve in any significant way.
@@qu1nneth136 I'm not expecting it to be this easy, and plus looking back at this video, it seems like the only thing hes doing is defining the two prominent parts of calculus, and showing examples of them. he even stated in his comment, that you will get atleast a b. the other part is for the teachers for the student to learn by themselves.(I think that's his intent) but I will have to say, you have a pretty good point on the building blocks that support each other part. also congrats on a bachelor's in math!
@@velocity_2314 Thanks. What I'm trying to get across is that understanding this will not guarantee you a B. I've tutored many calc students who understood these two problems just fine but still struggled to maintain a passing grade.
@@velocity_2314 it's only meant to be a joke video. There's no actual theory explained in it, it just explains how to apply the power rule. Even then it doesn't tell you why the power rule is why it is
My peeps in AP BC Calc be laughing at this
My peeps in ABCDEFG Calc also be laughing at this
Thank you 😊!❤ I have a upcoming competition and I needed to learn calculus in a month and because of you I got it in 1 minute 😭♥️
True, this was basically my last half year of school, bits and pieces are missing but they follow from this
I’m in Calc BC right now and I’m so sad that I’m not gonna learn it in a class anymore😭😭
It was one of my favorite classes
Calc BC? Is this integral calc (calc 2)?
Me going into calculus next year: 👁👄👁
Just finished watching the video... all righty, I guess I'm ready for the AP exam now!
Not even in high school yet, but I'll be sure to keep this in mind
I wish. I know all this stuff and just barely passed AP Calculus, there’s a lot more you need to know if you want to get an A or B in calculus. Although a significant portion of your class time is dedicated to learning these two things
0:44 "Instead of squiggly u have a solid line"
That's where you lost me.
This is a blessing
What's the best online resource to learn MATH ??
damn i wish ap calc ab was really this easy 😫
It is that easy.
@@cyan1294 well there's more to AB than just that ..
Except the whole point of calculus is theorems and proving how and why
^two types of people
@Jake Scott Thats a sad way of looking at things 😕
No it's not. Calculus in highschool is not proof based.
@@cyan1294 my classes were and i took three years of calc in high school
@@kaylawatson5441 interesting. When I was in ap calculus I had to prove the theorems myself in my freetime. My teacher did do some proofs but they were never the center if the course. Finding the proofs werent a big deal though. Everything in ap calc is pretty straight forward.
How about limits or product rule or chain rule. U substitution is missing and optimization
I have this "super power" where I can learn a new thing in math with only seeing it done with like 1-2 problems. It kinda takes any fun out of the class when I have to wait for everyone else to catch-up but it also gives me good grades. I easily understood the 1st problem but the second was harder because of the hand writing.
@@mollydrake9789 I can't tell if it is something everyone has or only a couple of people. Cause only like 2-3 other people can do the same in my class.
Get of your high horse the other people probably have the same ability to understand math but they just dont have the energy or appriciation for the subject to care.
By "learn" you really mean be able to follow some basic arithmetic steps which lead you to the answer without understanding what you're doing
@@C4rnee No I completely know what I am doing, I learn things fast in math.
@@goofysupporter6682 I am not on a high horse lmao, I am just stating something and wondering if anyone else has it.
But yeah, cry harder.
"you multiply the exponent [^2] by the number in front of X [5]"
"that's 10x"
9th grade me in Algebra I: NO??
Ah yes, I remember being a freshmen. Lowest oint in my life xd, don't worry, this is the most simple part of calc and it'll make sense when you learn what exactly a derivative is lol.
The derivative is just the slope. Most of calculus class is spent learning where all the concepts come from so they actually make sense
Chain Rule: Am I a joke to you?
This is like only 2 months of my whole year of calculus tho 😭😭
were barely doing review on solving rational problems with asymptotes, holes, domains, and im already very confused. I got bumped from statistics junior year to AP Calc my senior year without have taken pre-calc or the regular calc class. this is gonna be a rough year
Uh, you forgot sequences and series, vector fields, and differential equations
I literally studied this in my 11th class in just less than 1 week!!
Jee basic maths?
We were taught this is 9th... for some summer program.
If only I had seen this 1 year earlier
Hold your horses, I think that we need a two minute video for this one
Jokes on you because as a pcb student I can verify this is exactly how I learned calculus in physics class😂😂
Exponents, trig and inverse trig functions introduces itself!!!
Asians: prettty simple lol
This 1 minute video is what you're professor provides as examples then tramples your hopes and dreams during exams.
this video awoke a power within me i didnt know i had. i am now going to invent time travel.
video is highly misleading. Calc ain't about computing derivatives
As someone who just moved up from 1st year college.
This is 100% true
I don’t know how everyone else’s math classes go, but this just about covered the first week. Now I actually have to study for over 30 seconds :(
I’m just finishing up my first year of calculus and this is spot on!
@@cpotisch How?
@@cpotisch I know he didn’t explain the logic or theory behind it, but he did explain some major rules that would take up, I wanna say, at least 25% of first year. While yes, he missed trig, integrals and u-sub, he did manage to cover a major section of first year calculus very quick. Also, this video is obviously meant to be on the joking side of things, and it’s best not to take things as serious.
@@cpotisch Relax man, this video was completely satirical and my comment was a joke. You are taking it way too seriously.
0:18 0^0 is undefined, meaning that theoretically any derivative of a function that has something times x in it would be undefined at x=0 which is a huge problem I have with derivatives
0^0 is not undefined, it’s 1
@@50Steaks68 I have two ways to prove that wrong.
1.
let’s make two graphs, one is y=x^0, the other is y=0^x
The first graph should be a straight line passing through y=1 no matter what the x value is, and when x=0 the graph should be going through the point (0,1) since anything to the power of 0 equals to one.
Now let’s take the other graph, since 0 to the power of anything is always zero, the second graph should be a straight line right passing through y=0 no matter what the x value is, passing through (0,0) when x=0. The problem here is that in one graph 0^0=0 and in the other 0^0=1, meaning it should be undefined
2.
Let’s rewrite 1 as x/x.
x/x can be rewritten as x^1/x^1
x^1/x^1 can be rewritten as x^(1-1)
x^(1-1) can be rewritten as x^0.
We can try this out with 3 for example:
1=3/3=3^1/3^1=3^(1-1)=3^0
All works out, 3^0 equals to 1.
Now let’s do it with 0
1=0/0 see the problem? You can’t divide by zero, now can you?
Both of these points prove why 0^0 is undefined
@@randomname9291 for #2, could this not be used to prove that all 0^x is undefined? Because 0^2/0^1 also equals 0/0
@@royfoy1013 0^x is equal to zero, and you can’t rewrite 0 as x/x. Method two only works with 1
@@cpotisch the easiest workaround I’ve found is just to differentiate any function with a power higher than one and then evaluate the slope of the straight line since (f(x)+g(x))’=f’(x)+g’(x)
If that's "literally half a semester of calculus" either you didn't actually understand the subject, or the course was terrible.
It was a satirical video...
I am saving this for the future
Thanks. I spaced out during my Calc class on virtual learning
This will mislead a lot of young men
A year of calculus? I had to learn that in two months!!
i know its 2022 but can u give more problems for the half year calculus plz.
i gotta take pre-calc next year and AP calc senior year. i cant wait
Gonna save this until I get to my senior year
Actually found it helpful, my second semester started a week ago. ^~^
Still haven't used this a day in my life
where do i learn integrals, im trying to get ahead of class
This gives crash course a whole new meaning
You’re a national treasure my guy
Yay, a new word to my vocabulary
Do you have one of these for trigonometry
Thanks Man, For teaching me Calculus for a year.
This was how our teacher taught us calculus. I can say he's the best teacher ever.
Theres a reason theres a whole ass semester for this
wow what a great absolute amazing content video player you make very good!!