the problem some people have with calculus is the abstract thinking that takes real world problems and turns them into numbers that can variably change.
@IIAOPSW Actually it is. Watt is energy/time, Watt hour is W.h (not W/h or Watts per hour), so it is equal to energy/time x time, which is equal to energy. For eg. a 100W light bulb which is ON for 1 hour uses 100W.H of energy.
Actually, if you do a midpoint Riemann sum, you end up with a better approximation then a trapezoid rule. Left end and right end Riemann sums are just silly.
it takes a lot of adjusting to before you actually understand what intuitively is happening. to be honest it's very easy to learn how to do integrals (i.e. the method), but actually setting up integrals and understanding what they mean... you probably need to cover a bit of analysis first. but once you have fully grasped the concept of a riemann sum, these things come quite easily. i can deduce things like volume integrals or radial integrals from first principles now...
man it's really pretty simple..there's just a lot of information. Three major ideas and a lot of information. If you have strong trig and algebra you will soar through calculus.
The dart board problem. It turns out to be 1% and he says that's pretty high? Seems to me 1% is pretty low.
ttttrigg3r 1 week ago in playlist MIT 18.01 Single Variable Calculus, Fall 2006
@ttttrigg3r Because he was friend with Ralph's little brother :-)
hilalvenus 2 days ago
the problem some people have with calculus is the abstract thinking that takes real world problems and turns them into numbers that can variably change.
redrum41987 1 month ago
It's a bit too fast for me. I'll watch this again.
agapitoflores001 2 months ago
This has been flagged as spam show
if you have IPHONE or IPAD and you want to calculate integrals check out this app:
itunes.apple.com/us/app/integrals/id471022211?mt=8
bebefore3 3 months ago
numerically incorrect. I accepted that the units were correct over a month ago. learn to read please.
IIAOPSW 5 months ago
@IIAOPSW LOL please look lower down. you removed them and are incorrect:)
ryanmerkle5 3 months ago
WTH,
first 2 min in. Kilowatt hour is NOT the same type of unit as calorie or ft-lbs. KwH is energy per unit time whereas the other 2 are just energy.
and why is he using those horrendous English units. Use the damn metric system.
IIAOPSW 8 months ago
@IIAOPSW Actually it is. Watt is energy/time, Watt hour is W.h (not W/h or Watts per hour), so it is equal to energy/time x time, which is equal to energy. For eg. a 100W light bulb which is ON for 1 hour uses 100W.H of energy.
And yes, metric rules!
surferboy36O 7 months ago
Comment removed
ryanmerkle5 5 months ago
@ryanmerkle5
wow. your correction was redundant (as per suferboy360 1 month ago) and incorrect.
way to go "asshole" (as opposed to "ass hole").
IIAOPSW 5 months ago
@IIAOPSW can you explain to me how it is incorrect? please brush up on your metric units before criticizing a professor at MIT :)
ryanmerkle5 5 months ago
Comment removed
ryanmerkle5 5 months ago
@IIAOPSW KWH means a (Kilowatt) times an (Hour) which is (Joules per second) times (hour) which is approx. 3 600 000 joules. ass hole.
ryanmerkle5 5 months ago 2
@IIAOPSW umm KwH is energy. If it wasn't multiplied by hours, then ya it would be per unit time. Also he lives in the U.S.
johnliamten 1 month ago
Actually, if you do a midpoint Riemann sum, you end up with a better approximation then a trapezoid rule. Left end and right end Riemann sums are just silly.
kotofu 10 months ago
@kotofu is there a sort of proof?
wzhang7 7 months ago
laughter @ 32:46
behnamasid 11 months ago
Simpson's rule at 43:40
RobotGymnast 11 months ago
Pre-calculus for me was a waste of time. I remember that the only thing it was good for was for studying the SATII MATHIIc.
EgoSumIndigentia 1 year ago
Err what's the average age of these students? In the UK we do this when we're 18 the clever ones at 17.
BritishPrashant 1 year ago
@BritishPrashant you got some retards in the UK then
PriestRSC 1 year ago
it takes a lot of adjusting to before you actually understand what intuitively is happening. to be honest it's very easy to learn how to do integrals (i.e. the method), but actually setting up integrals and understanding what they mean... you probably need to cover a bit of analysis first. but once you have fully grasped the concept of a riemann sum, these things come quite easily. i can deduce things like volume integrals or radial integrals from first principles now...
gorgolyt 1 year ago
I'm in PreCal now, I've been at it for almost 2 full months. I have a 93 average, and it is definitely not as hard as I thought it would be.
SuperMafioBrother 1 year ago
@SuperMafioBrother cool story brah
VapourSword 1 year ago
@SuperMafioBrother pre-calc is nothing like true true calculus.
PriestRSC 1 year ago
I've yet to take Calculus, many people make it out to be the achilles heel of those who seek higher learning. I hope that's not the truth.
SuperMafioBrother 2 years ago
It is the truth, Calculus is very hard for some people but hat does not mean that you have to find it hard.
michalchik 2 years ago 7
man it's really pretty simple..there's just a lot of information. Three major ideas and a lot of information. If you have strong trig and algebra you will soar through calculus.
darkoriginhunter 1 year ago