Summation Notation Practice | MIT 18.01SC Single Variable Calculus, Fall 2010

Summation Notation Practice
Instructor: Christine Breiner
View the complete course: ocw.mit.edu/18-...
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

[@tanjilarehnuma4922]

I never do any class like that. It's superb.I would love to do more classes like that.neat and clean explanation.what my course teacher made us understand the whole semester. you made me understand that things in 14 minutes. I just love your teaching method.

[@jingyiwang5113]

You have explained these different problems about sigma notation in such a clear way. I am really grateful for your explanation. MITOpenCourseWare is such a valuable source that it has already helped me a lot in multivariable calculus class and python programming class. Thanks for all of your wisdom!

[@leobekayombo8087]

MIT has displayed its library in this generous manner...Oh how enriching!!!!

[@georgesadler7830]

Over the years I had a few problems with Summations, however I did understand the way professor Breiner explain the Summation Notation. In advanced mathematics, more attention should be paid to Summation.

[@shin-ishikiri-no]

She's perfect... I want her to teach me math so I can study for her exam.

[@vaca493]

Bro chillax

[@guitarttimman]

Summation( (i=1 to n)[ a(sub((i+1) - a(sub(i))] = a(sub n+1) - a(sub 1). There are a lot of uses for this property. For example, set a(sub(i+1)) =(i+1)^2, and use the above property, and watch where it goes.

[@binhton1140]

Good guidance for the beginner. Thank you so much Ms. Breiner.

[@siddharthamondal4346]

Wow it rhymed

[@rahultimatum]

love the four second break to work on the problems

[@xolaninxumalo5747]

I LIKE HER VOICE. IT MAKES THINGS A LOT EASIER

[@tabreperez]

That -1^k trick was brilliant. Great video.

[@nksh19]

shes's good!!! i love her! more more !

[@shin-ishikiri-no]

If only she gave me a harder math problem... Oh god.... I need a harder one.

[@Notyouranalyst]

Thank you mam 👍

[@wzhang7]

thanks to MIT

[@sahilkhan_cs50]

Fantastic Really fantastic explanation...That’s why MIT Leads.....

[@adolfocarrillo248]

I think there's an error in min 10:03 ; because if you need to decrease a difference then you add that amount to the subtrahend or subtract the same amount to the minuend, then I think the answer is n^3-(n^2+n) = (n^3-n^2)-n

[@adolfocarrillo248]

I believe she forget to use some brackets to organize better the idea. But it's okay I see the point.

[@TheLegendSpeaker]

I did Q B) and C) my own way and got the answer, it was simpler for me and faster. If you're interested comment.

[@alias40anon]

Very good and simple explanation of nice selected paradigms

[@itsfzt]

Great I never knew you can alternate sign like that

[@rnjnmhta.catomato]

Thanks Professor

[@claradiaz2375]

Fantabulous. Those exercises are so useful. Thanks a lot.

[@toyanarson2604]

it is so easy to understand her instead of my university professors who barely know english

[@lewismahon1619]

Hi thanks for this you explained it very clearly and even expanded at small parts that helped me understand the whole process of sigma- at the moment currently studying open university and the textbooks we get are ok but generally jump to great assumptions that the reader is already an accomplished mathematician so is confusing and throws you off. Thanks again

[@lexinaut]

Very helpful! Sigma is some summer! Doing these problems can help you become a real sumbody.

[@igotbev1394]

Brilliant. Thank you for making this video!

[@abigailabeo4914]

Thank you, God bless you.

[@dineshmolavade8331]

it helped!!!!!!!
Thank you:)

[@mahsam6878]

Thank you so much!

[@harrybhoombla8752]

that's MIT style right there for ya!

[@rnjnmhta.catomato]

11:48 : how do you alternate sign in an problem

[@user-lu6yg3vk9z]

@ 4:13 It should u pull out 1/4 not 2 error.

[@thefigmaster3519]

Why... im pretty sure she's right

[@claudioleighton6799]

Thank you. Very clear.

[@motiversity_1074]

thank you

[@RestartLife]

Excuse me can you help me to solve this problem
Find the positive value of n satisfying
∑(1/2)^k = 31/32
where
Lower Limit is k = 1 and Upper Limit is k = n

[@snotface8]

Hey bro you are weird as fuck for your username and that comment....
Ol' commenting from the dark corner of the universe ass dude

[@schaz7563]

k=5

[@TheLegendSpeaker]

You have to use the geometric series formula, otherwise the algebra becomes way to complicated.

[@T12ISC]

i wish this was just how school woked

[@tohruoikawa1713]

Congrats you got another sub
👏👏👏👏👏👏

[@192ali1]

Excellent

[@f1mercury]

Nice. Thank you very much Miss.

[@jreylbc1]

Great job! Thank you!

[@gigijbijbj]

Thank you so much

[@guitarttimman]

When I took calculus, I just thought of the summation as a function. It is a onto one to one mapping. I knew immediately knew what to do. One can substitute functions of summations too. I know a lot of tricks. The summation of a constant is analogous to saying f(x) = nC where in is the index and C is the constant. For example, the summation going from 1 to 5 of 5 is 25 which also equals 5 times 5. The foundation of the definite integral is established with the Riemann Sum utilizing polygons and taking the limit of each one's width to infinity.

[@kingtriplebbb5347]

Good Job 👍 👏 Professor 🎓

[@imeneeladel6471]

emazing a big thanxx

[@nirmalkumar1297]

Wow nice tutorial

[@thatdamkat]

Thank You very much :D

[@CakeAndPi3]

I overthought the last one and used imaginary numbers...

[@alihsanelmas]

Çok hoş!

[@abilioinacio3867]

she's good explanation but I want to share also correlation

[@venkatesanmunusamy7319]

great

[@rodrigorubio136]

Cuando no entiendes los problemas de estadística y julia profe te salva

[@Usuario459]

Julia profe???? De que me perdí ?

[@justins7796]

is this gonna hurt

[@qzorn4440]

smart girl....

[@canaldovital188]

gostei

[@godsrighteousness5003]

i did -(-1)^k

[@JoryRFerrell]

It's called a "pause button". I know...it's inconvenient, but still.... :P
j/k

[@randomotaku7833]

He face andface expressions are similar to Elon musk

[@brzydkareka]

Vool

[@tinerepompo2776]

I wanna die

[@satyamrai2577]

: )

[@magicmike1122]

Those are the most ugly Sigma's I've ever seen! I hate when people write their Sigma like that; makes my skin crawl.

[@magicmike1122]

What the hell is a grammar nazi doing on a math video; Go back and read your Hemingway.

[@chefdeputas]

You're my hero

[@Usuario459]

Wth lmaooo

[@ronaldfungss]

Thank you