×

### Let's log you in.

or

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

×

or

## IDEASINMATHEMATICS

by: Claudine Friesen

53

0

5

# IDEASINMATHEMATICS MATH170

Claudine Friesen
Penn
GPA 3.56

E.So

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.
E.So
TYPE
Class Notes
PAGES
5
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 5 page Class Notes was uploaded by Claudine Friesen on Monday September 28, 2015. The Class Notes belongs to MATH170 at University of Pennsylvania taught by E.So in Fall. Since its upload, it has received 53 views. For similar materials see /class/215393/math170-university-of-pennsylvania in Mathematics (M) at University of Pennsylvania.

×

## Reviews for IDEASINMATHEMATICS

×

×

### 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: 09/28/15
Lecture Notes for Math 170 Ideas in Mathematics Spring 2007 by Nathanael Leedom Ackerman January 19 2007 1 TALK SLOWLY AND WRITE NEATLY AND BIG 2 1 TALK SLOWLY AND WRITE NEATLY AND BIG 2 Review Recall from last time a discrete dynamical system is a way to model some behavior lt is done by nding a series of numbers 130131 related by a formula of the form Pn fltPn1 Further De nition 201 Let PnH We then say a state a is an equilibrium if a a and De nition 202 We say a is an unstable equilibrium of Pn fltPn1 if a a and for all su ioiently small 6 P0 a 6 implies limrH00 Pn y a 3 CHAOS 3 3 Chaos De nition 303 ln mathematics chaos is when a small change in initial conditions leads to a large change in outcome Describe the Butter y effect 0 Term coined by Edward Lorenz in 1963 o Phrase was One meteorologist remarked that if the theory were correct7 one flap of a seagull7s wings could change the course of weather forever77 Discuss errors and repeated calculations using a calcula tor l Population Formula l Give population formula PnH ltl gt explain about predators 3 CHAOS 4 Say we want to consider maps where we stay in the in terval 0 1 so we can consider it as a of the maximum possible population We want to discuss this over time One way is to simply write a computer program which spits out values How ever we want a pictorial representation of what is going 011 Functions 0 De ne what a function is 0 De ne it as a black box 0 Make connection to black box of probability 0 Range of a function Domain of a function l Graphing Functions l 3 CHAOS 5 0 De ne what a graph of a function 0 Go through an example Web Diagrams 0 Explain the relation of the graph to the dynamical system 0 Draw the 13 y line 0 Go step by step though the case of the exponential 0 Go step by step through a case where A g 1 so everything is below 13 y Observe that if A g 4 then everything Observe period points if A gt 33 Go through the isosolese triangle and cycles with a web

×

×

### 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

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!"

Amaris Trozzo George Washington University

#### "I made \$350 in just two days after posting my first study guide."

Jim McGreen Ohio University

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