### Create a StudySoup account

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

Already have a StudySoup account? Login here

# Math 105 Notes- Week 1 MATH 105

Edinboro University of Pennsylvania

GPA 4.0

### View Full Document

## About this Document

## 44

## 1

1 review

## Popular in College Algebra

## Popular in Mathematics (M)

This 3 page Class Notes was uploaded by Cassandra Notetaker on Saturday January 23, 2016. The Class Notes belongs to MATH 105 at Edinboro University of Pennsylvania taught by Dr. Phillip Funtulis in Spring 2016. Since its upload, it has received 44 views. For similar materials see College Algebra in Mathematics (M) at Edinboro University of Pennsylvania.

## Similar to MATH 105 at Edinboro University of Pennsylvania

## Popular in Mathematics (M)

## Reviews for Math 105 Notes- Week 1

You're awesome! I'll be using your notes for sure moving forward :D

-*Kaela*

### 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: 01/23/16

Funtulis- MATH 105 Review Section 1: Sets - 1/20/16 Set- a collection of any objects of our intuition; a well-defined collection of any objects (physical or abstract). Well-Defined- the set is not biased; one is able to determine what is in the set. Ex. {all great actresses} since “great” is a relative term, this set would be based on opinion and therefore not well-defined. Empty Set- also referred to as the null set, this set contains no elements. Ex. {Unicorns on Earth} = probably an empty set. Statement- assertion of truth. Set-Builder Notation: Set Braces { }, enclose the elements a set contains. Ex. {1,2,3,4} Ellipsis points (…) , indicate that the set continues following the same pattern; can also indicate that the set is infinite if appearing at the end of a set. Ex. {1,2,3,4,…} Separating line, |, reads “so that” or “such that”; seen when using variables in the statement of a set. Ex. {x | x is a natural number between 1 and 4} Funtulis- MATH 105 Review Section 1: Real Numbers – 1/22/16 Real Numbers Natural Numbers: {1,2,3,4,…} Whole Numbers: {0,1,2,3,…} whole numbers include zero! Integers: {…-3,-2,-1,0,1,2,3,…} integers include negative numbers! Rational Numbers: {p/q | p is an integer, q is an integer that is not zero} rational numbers are fractions that do not have a denominator of zero! Irrational Numbers: {…π, square roots, e} irrational numbers include repeating, non- terminating numbers that cannot be expressed as a ratio of integers! Subset- a set within a set. Ex. Natural numbers are a subset of whole numbers. Containment- an element of a set that is expressed as being contained by a set. Ex. 0 E {x | -1 ≤ x < 3} *Integers are a proper subset of Rationals (proper- lacking some elements)* Funtulis- MATH 105 **Empty set- { } or ; { }- a set containing an empty set; - a subset of every set (the empty, or null, set}** The union of two sets, A and B for example, is the set that contains all of the elements of both A and B. Ex. A = {1,2,3}, B = {2,3,7}, so {1,2,3} U {2,3,7} = {1,2,3,7} The intersection of two sets, A and B for example, is the set that includes the elements set A and set B have in common. Ex. A = {1,2,3}, B = {2,3,7}, so {1,2,3} ∩ {2,3,7} = {2,3} Disjoint Set- sets that have no elements in common. Ex. A = {1,2,3}, B = {4,5,6}, therefore A ∩ B =

### 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

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

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

#### "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!"

#### "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."

### 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

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.