New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Week 1 Notes for Math 31A

by: Isabel Yin

Week 1 Notes for Math 31A Math 31A

Isabel Yin
Differential and Integral Calculus
Popa, S.

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Detailed notes of both Mr. Popa's lectures and my discussion notes to reinforce the concepts! Example problems and answers are all embedded in the document!
Differential and Integral Calculus
Popa, S.
Class Notes
Calculus, Math
25 ?




Popular in Differential and Integral Calculus

Popular in Mathematics (M)

This 10 page Class Notes was uploaded by Isabel Yin on Sunday October 4, 2015. The Class Notes belongs to Math 31A at University of California - Los Angeles taught by Popa, S. in Fall 2015. Since its upload, it has received 49 views. For similar materials see Differential and Integral Calculus in Mathematics (M) at University of California - Los Angeles.


Reviews for Week 1 Notes for Math 31A


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/04/15
MUMma huclaQdMNPOFq3IK Sui Teachlhj WM atom 01 m leau rt 39 reader a med 0 OLA in NEXT assassim drode m ComPuW cf W1 5 I wait No 399115194quot 10 am 07 W han N 13952 dem I 33957 bw 0 Zm39dm 39 v1 fix 3 dl rul m worm u Im Of xl 43 X afpnm39u r 7 Afp In a I N 39 r m I f A t L 9 in in z x A g 1 quot w n 5 044 a rrrr onegidjd ilibfquot We Say mm x hm I39WH39T L as Y a 7 r L v K a 3 x L 3 x 34315 claw and c105 W L M x if 1 r g z 49 ex quot 2 7 y g 7 39 3 l X Z 2 XZw lt Z m dA 1 lm 5 1100 X 2 quot gt x a 2 X 1 quot 1 0 f m 7 M ltgtlt w i 3 1 ObSenah m we Maj hm hm C f 1 9 quot 17 quot ex our Hui w dFFcrenr 9 k 56x40 XZl x70 A A 0 X 0 X 1 39 4quot 7lto 4 3 X quot9 r l x V 4M M Eu 39 krill 4 by xvmm v 39 i iquot 7 u A 155 5L Sin from doejnf approach an iii or S L number I M if ml quot j 39 39 39 r M C 0 35 m H has no leffry39hf quot La 49quot C 0 upquot 7 I a quotjutnemamxw 2wmy wit chJJuyH wn n J I 0fwa i Tu 30 230 a H MN l 4 In daSQuXSM J 4 w v 1 5 r J J 1 39 7 4 5 j 1 39 hViW ash39gF A J x 23m bc WW n W0 L I S Li j 39I 1 f 1 QA aL fnlV I f I o g JfJK a v QquotLll f j I quot l 1 L A 39 39 11 g Ww 397 hwnaa 9 5 33 Suppose 3 i aufm u 39m m ayen wwrw A quotb y 1 mmquot u Manet a Pomf Cbw M nu le 4 C we say Hnaj ml mm as x it affrontAs and wringhrqu 7 04 L as x afpmacku C x Wm u knb v a39f f m MMVMMJ knM of SWdn ml CuIrhn u a Law w v 39 mm W y 1quotgtquot X gtVQ almlah Hu allawr I h I U m 39 f h bvl f J17 nFt N 39 39 4 M g H V 2 Iarmx 1 1 7 393 7 But 3 um x 11 fx 439 mr z 39 Mow hth k In 239 z I f ff xzsv f 2 in Ham v lav 39 real a 5 m 39 u W M r I 4 Wino aum M AL w m ii aloe we 39Ejquot nan lt 4 I CM Commc lam Xw w 1 u N V 1 4 g ft1quotquot qwuon39 V mwvtlt avunu u lt 2 ndous quot61 om HI 11m 1 3 C Wm Mm v v A r W up A q X T 35 A hbybff ofc w Vb1CM6LVquotC J g 139 4 w a 2 0 x I a warr11 394 4 I 1 r V I 39 T 39 J Afr 55 Iwi39rf c 7 1 r4 T y39 fI Afyllli ruln 39 I VIIHA quot39 a kc a W m M I c u x W 399 I v q quot nf n n I 1 r v 39l I l I I 1 v A f x r x v l r 39 A f I f 1Vquot A I L I 1 39 3 t 4 I I 39 39 U i 1 f 1 1 r I N k I 1 A I l V 9 O 3 WM j 4 IVquot 7 r J W z r 1 l T I N am I39m X H xao M I w 4 m u 7 39 Be 397 chmJuI on am Open i 39wLeWJ CUGJWHWT Cx Poi1 C quotM continuumUquot a C if X Vc jqx 8 5 on A g ECILLC J JFC V 39 1 I 54 quotw m I i 39 39 IMFDrranf J am 3 u 53 31quot 439 C 1 quot7 x h NM L A L I I n I l O I L n O r A 139 I 351 393 quot Elf quot4 quot r I W K I pt v 47 7 v 5 C 4513 0 r 134 Til n39i 9 1 1 C3931 I l m i y bnhnu0M5 OI 215 dam 413 39 vmtc3g H c 139 C 1quot wl J Qm39mugfas 0 Mn Ont Cu 65 c x m r u w u nr 7 44 n hmn w A 1 A 539 W x Guam 0 an R 9 f an 7V 439quot f ragga P31 l vlvAIIJO V OQ 3 V 4 Yum


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Jennifer McGill UCSF Med School

"Selling my MCAT study guides and notes has been a great source of side revenue while I'm in school. Some months I'm making over $500! Plus, it makes me happy knowing that I'm helping future med students with their MCAT."

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Parker Thompson 500 Startups

"It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.