×

### Let's log you in.

or

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

×

or

## PRINCIPLES OF ANALYSIS

by: Eunice Schoen

38

0

1

# PRINCIPLES OF ANALYSIS MATH 306

Eunice Schoen
JMU
GPA 3.61

David Carothers

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

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

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

×
Unlock Preview

COURSE
PROF.
David Carothers
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Eunice Schoen on Saturday September 26, 2015. The Class Notes belongs to MATH 306 at James Madison University taught by David Carothers in Fall. Since its upload, it has received 38 views. For similar materials see /class/214025/math-306-james-madison-university in Mathematics (M) at James Madison University.

×

## Reviews for PRINCIPLES OF ANALYSIS

×

×

### What is Karma?

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

Date Created: 09/26/15
Suppose that f ls a functlon that ls contlnuous and nonrnegatlve at least f0 some lntelval c gt 3 b We wlll use the symbol ftdt ol ln an abbleVlated fOIm fff to denote the alea bounded by the gzaph of f and the hollzontal axls between t u and t b ftdt o f wlll be called the mesng off fmm c to b The numbels c and b ale often called the llmlts of lnteglatlon ml At thls polnt we wlll not tly to make any addltlonal llstl catlon f0 what eems llke an unusual notatlon fzdz ln paltlculal we wlll not yet olrel an explanatlon f0 what the dz ls supposed to leplesent 0 how the symbol was chosen lso no e that a mm ls Just a numbel so thele ls no paltlculal Slgnl cance to be attach d to the cholce of the Vauablet le mm would leplesent exactly the same quantlty lt ls best tdt as the 816a detelmlned by the gzaph of y t when we allow ya l blet to move fzom u o We wlll extend thls de nltlon as follows 0 a a eamp e a c If lt happens that b lt u the pzecedlrg assumed the levelse wewlll de ne 7 f F0 example 2 f by de nltlon ls the same as 712 We wlll consldel the sltuatlon ln whlch u g b ln ff as the natuzal oldel addlrg h negatlye and swltchlng the oldel If the lelatlon between a and b ls lnltlally IeVeISed fzom the natulal oldel If functlon f takes on both posltlye and negatlye values dlylde the 816a between the gzaph of f an the hollzontal axis lnto pleces ln whlch fz 2 o and f 2 lt o sepalately nd the alea of the plece above t e axls and the alea below the axis attach a negatlye Slgn to any alea below the f be the xesultlrg sum hollzontal aens and let

×

×

### BOOM! Enjoy Your Free Notes!

×

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."

Allison Fischer University of Alabama

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over \$600 per month. I LOVE StudySoup!"

Bentley McCaw University of Florida

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION 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 support@studysoup.com

#### STUDYSOUP REFUND POLICY

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: support@studysoup.com

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 support@studysoup.com