AP Calculus Riemann sums: Soup to Nuts

[otaka732]

Midnight tutor... funny thing is, I'm watching this at midnight right now.

[Westscottchip]

Great video, thanks for the help.

[jonnyrebel00]

Loved the video, wish it was a little easier to see what you wrote.

[Kridge2011]

You're really annoying... And not to mention incorrect. Thanks for the confusion!

[DieRightNowPlease]

@Kridge2011 Oh shut up. he was off by one. I'm sure you still learned from it.

[postal83]

you kidding me people lol... my college teacher makes several mistakes in class, but most people don't see them because it's the concept that matters... elementary algebraic mistakes are something you can throw out the window. Watching this has helped reinforce my understanding of Riemanns Sum, not how to add numbers.

[leet512]

ya i think these videos are excellent and shouldn't be written off due to a few numerical errors... teaching high-level math is more about getting across concepts and methods in an understandable way rather than being perfect at numbers

numerical accuracy is more important when math is applied in life... and in most such projects there is already an established safety net of peer review and hawk-eyed computers that spot those minor errors... so getting upset over them is a bit over the top :)

[AnkitOverkill]

hey thanks a lot for the tutorial, it helped a lot! ignore all the idiots trolling on about the mistake you made , silly mistakes happen to everyone.

[AvidLearner11]

It looks like you're feeling awkward trying to turn toward us while doing the problem. :P Be on the right side instead so you can write with your right hand and turn to us from the left.

[Ironliquor]

Thanks for all the help. It was really quite useful. You're a great teacher!

[Vaminos413]

This video helped clear up Reimann sums, thanks!

[Ironkiller22]

I´ve been reading Spivak´s Calculus and i don´t get what does mean U(f,P)-L(f,P)<e, where U(f,P)=upper sum and L(f,P)=lower sum???

[DarcPrince]

if you have an equation with inconstant curve ] a=0, b=5 - so n (the amount of subdivisions) = 5, therefore when you are trying to find the Upper Sum, it would be the highest point within that one subdivision, if the next one has a higher point in the left side than you would take the division from that point, and the same for the Lower Sum, but the opposite, taking from the lowest point within that subdivision.

[SpareNoOne]

Very Helpful thank u

[novatodeguitarra]

1+4+9+16=30 just do (1+9) + (16+4) my adivice to you people when adding a lot of numbers please make yourself a favour and join the "tens"

[vaunstone89]

totally cool....loved it :)

keep the good work going

[moha9]

thank u so much i had trouble with the midpoint but after watch ur video i totally get it

[dominicfhk]

This video is very helpful. Thanks!!

[maj10311982]

You know all can commit mistakes or wrong answers, but the most important is how you compute the math problem in the right method.

[superflex007]

besides you are normally given more complicated functions for which you wont draw during your exam

[superflex007]

but how do you calculate it as n approaches infinity using limits?

[Promatheos]

I want to see the person that can do this and not know which way left is.

[zlailer]

me like it very much yes.

[maj10311982]

men i think that is 1(1)+1(4)+1(9)+1(16)=30 and not 29..

[gmsherry1953]

Maj and Shooter are both right. The left method answer is 30 not 29, and the right method answer is 55 not 54 (same mistake both times, ignoring the initial 1). Also, it's absurd to figure the area of trapezoids by breaking them into rectangles and triangles when a simple formula exists to find it directly , 0.5(h1+h2)b. I'm sure the presenter meant to be helpful, but this video might mislead the very people he means to help. They deserve better.

[k2g2005]

@maj10311982 i know it drove me crazy -.- i was like ITS 30 U SHOULDNT BE TEACHING IF U CANT ADD!!!!!

[Ghaiyst]

@k2g2005 Teachers make mistakes a lot. Little errors are not a big deal, especially when he's not trying to design a structure or something that important. Maybe your brain development, but you can render that through experience. a brain structure can develop with mistakes, but a structure of a building or whatever cant. We all make mistakes and can learn from them. When a building collapses, thats the end of it.

[xantares13]

wait a sec, you had calc as a junior then you became a sophomore and had bc

thats either really weird or a typo

[Shooter1444]

Ok, at about 8:00 when he is using the right sided method shouldn't the answer be

1(1)+1(4)+1(9)+1(16)+1(25)=55 units squared not 54 units squared.

[Muramasa007]

AP CALC TOMORROW GOOD LUCK!

[Taser15]

Cramming for the Calc BC FTW lol.

[VOC2006]

Lol I now remember why I didn't pay attention in class. You taught it well I understood perfectly its just that Riemann sums is boring.

[wizsoft]

My comment below was referring to

soadfannumeroone. What midnighttutor has presented is excellent; far better than taught in schools. Please keep up the good work.

[linuxva]

Very good stuff , thanks !

[MichaelCheM]

in @ 8:30 in the video I have the idea why not just add the left to the right and divide by 2? (29 + 55)/2 or 42

[romerod]

i am a nursing major but i've taken calculus my freshman year by mistake... i loved it though (got an A) and I think i might take the 2nd part which is multivariable...

this riemann sum is awesome as far as I remember... but the simpson's rule is easier...

[vanastensucks]

i'm a high school student taking calculus in college and maybe its in southern california only, but calc 3 is multivariabled

[romerod]

over at the college i go to, they offer multivariable calc in calc 2.

[marecha23]

no son 29, son 30, no se ingles pero se SUMAR, jejeje error del profesor

[thecommonpatriot]

does he do a video on Simpson's method and evaluating the bounds for error?

[daganboy]

Integrals are so much easier!!!

-Dagan, 14

[PlainOlJoe]

People say to use The Fundamental Theorum of Calculus, but what's important to understand is that this is the basis for Integrals. This is what the Fundamental Theorum of Calculus is based on with just taking Limits involved. This is also handy when you don't have a neat little function, but instead just have a series of points on a graph.

[invitedman]

he's handsome !!

[soadfannumeroone]

wtf is wrong with this guy how is 1+4+9+16+25=54 put it in a flippin calculator and itll tell ya its 55 this guy needs to lay off the sauce

[mallory281]

yeah thats pretty bad

[wizsoft]

I have a Phd in Mathematics; you are an idiot.

You are right, but look at the big picture.

[EvaSlash]

my 8 year old sister knows this by heart

[macdrj]

My AP Calc final is in 16 days. I currently am failing 50% first quarter 53% right now. I need a 100. You are my god.

[DoomHell999]

i know a lot of them b/c i grew up in buffalo LOL Buffalo is Not in Canada LOL LOL LOL hahaahha and yes this guy is Canadian iam Canadian sure he is not American Canadians Dont Have Accents LOL American Do lol

[sa09yx]

This is so great. Thank you!

I <33 you.

[lightsaber4]

Ok but wouldnt it be smarter to just use calculus (integrals) for a more precise answer?

[DarkZea1ot]

if you are just trying to find an integral, yes, but on some test questions, they might ask you specifically to do a riemann sum

[itoady]

Basic math, what a bunch of noob.

[daganboy]

Too True

[Clubelvis77]

Gay, 0 out of 10

[ken0928811709]

thank you Mr.Calculus

[edison1oveu]

that's esay

[gomerrpm21]

is it bad if i understand riemann sums better than how to find the distance between two lines in retard geometry?

[pronely]

I'm in geo as well.

[stealthkiller2107]

Is this guy Canadian? His mouth/jaw structure is weird.

[PressurEagle]

lol, no he clearly has no canadian accent whatsoever. and canadian's don't have unusually structure jaws, i know a lot of them b/c i grew up in buffalo

[EvilArmorX]

Despite the error of addition of the 1st two problems, it is explained quite well.

[theycallmest3r]

right handed limit was 55. not 54. when you were adding your areas, you forgot 1(1)... which is just + 1...

[neofusionstylx]

forgot about simpsons rule...and left handed limit was 30 not 29

[ThermalTeeth]

thanks you

[proudarmybrat85]

he didn't get the answers right in the first two... check the addition. it's ok though, he just forgot to add one. it was well explained

[259]

Integral Calculus was my weakest subject in Calc, especially the Riemann sums. I still managed to understand it, eventually.

[sannin3]

he forgot simpsons!

[inqilabi]

does he have dip in his mouth?

[breakyournails]

whats that?

[inqilabi]

A form of tobacco that red necks stick in the side of their mouth and get high off of

[inqilabi]

A form of tobacco that red necks stick in the side of their mouth and get high off of.

[Aschmedai]

Nerd!

[core1977]

BIGGER WRITING on the board next time. but thanks for the refresher.

[istarlife]

lovely, but a bit stiff

[jpcme2002]

this idea is fantastic, with some errors, but fantastic, you people must remember that is not easy in from of a camera, but the autor must see this video before upload, because put this video teaching mathematicas with erros... pls, just recheck your work before show to other people. Regards JP

[midnighttutor]

I think the errors serve to reinforce my view about numerical answers in an intro calculus class: who gives a crap anyway??? Its not like we're building a structure or something.

[MyLifesDespair]

Haha, you made me think of that geeky joke of a mathematician, physicist, and an engineer defining pi. The mathematician states pi is circumference/diameter. The physicist says pi is approximately 3.141533. And the engineer says, it's about 3.

[marlinheck]

@jpcme2002 Be aure to use a GOOD ink marker, possibly NEW, for you videos. Much of your work was not well visible. As, write larger. Even at full screen, your writing was small. (PS. I've been teaching for 42 years.)

[marlinheck]

@jpcme2002 Be aure to use a GOOD ink marker, possibly NEW, for you videos. Much of your work was not well visible. As, write larger. Even at full screen, your writing was small. (PS. I've been teaching for 42 years.) Oh, and I do remember the formula for area of trapezoid. It's required for all students in Maryland from fifth grade on up. Since I've taught from fifth to 12th, I remember it.

[StarPrepMath]

when will we get to hypermathematics... all this will just be irrelevant...just like Newtonian Physics vs Quantum Physics. The important question here is ... where the Ideas are coming from?

[fighter12345432]

The video is helpful in its concepts, but there are a lot of arithmetic errors (I think all of them are mentioned in the comments, so don't worry about it)

[susoni17]

Yey, I've doubled my math knowledge! Cheers Tom, big handshake!

[hmgj44]

the solution for the second method is not 54 its 55

[hmgj44]

wait a second, 0+1+4+9+16=30 not 29 for the solution of the rieman sum using the left sided method

[RiemannCalculator]

JUST USE THE FREAKING FUNDEMENTAL THEOREM OF CALCULUS!!!!!!!Riemann sums are just approximations but the theorem gives you an exact answer. You need an exact answer not some way off approximation (except with midpoint and Simpson's rule) but yeah!

[MrTurtle007]

The method of Riemann Sums is a method which demonstrates the concepts behind integration (areas under curves) and it's much better to understand concepts than memorize formulas. If you know how it works then use formulas but to understand the underlying methods you need to learn Riemann Sums.

[pulsarsl]

RiemannCalculator, I think it's sort of ironic that you've chosen to name yourself after the very method you're criticizing.

Anyway, there are many instances where using the FTC is impossible/impractical and approximations are your only option.

[Shukie6174]

Thanks a lot for this video, I appreciate it.

[0daniel9]

very good!

[khGoldChocobo]

lol, during the midpoint, the guy doesn't know which part is extra and which part is under.

[bochoonz]

thanks really helpfull stuff keep it up !

[briankid]

The trapezoidal method could be done easier with just the trapezoid formula, no?

Such a hassle to cut each trapezoid into a triangle and rectangle.

[midnighttutor]

true but who the heck remembers the trapezoid area formula?.....too much crap to remember as it is.... Tom

[bobgahblah]

lol...wtf...for the tetrazoidal method, you can just use the formula for the area of a tetrazoid: (f(x)+f(x+n))n/2

such a tedious process finding areas of triangles and rectangles....

[KelthRaptor]

What about Simpson's Rule?

[Incipidone]

i prefer reimann, less work, or you end up with smaller numbers

[tweeds2010]

Hehe. Sewage treatment plant --> ANALyze the problem. Such wit.

[kikililimimi]

He added wrong twice to include to it and it always forgot the 1(1) xD

[Adam27X]

he added wrong :P

[mparilla]

you rock!

[weatherweanie]

the sewage plant thing was funny! Good job. It was very useful!