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by: Shania

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# Math 111

Shania
Clarion
GPA 3.8

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Chapter 1 and 2
COURSE
PROF.
Michael Mcconnell
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Shania on Monday February 1, 2016. The Class Notes belongs to 111 at Clarion University of Pennsylvania taught by Michael Mcconnell in Spring 2016. Since its upload, it has received 9 views. For similar materials see Math Conc Grades K-8 in Mathematics (M) at Clarion University of Pennsylvania.

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### What is Karma?

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Date Created: 02/01/16
Week One: Problem Solving Four Step Problem Solving Process 1. Understand the problem 2. Devise a plan 3. Carry out the plan 4. Check it Problem Solving Strategies (Plans of Action)  Guess and Check  Draw a Picture  Use a variable  Look for a pattern  Make a List  Solve a simpler problem Week Two: Functions Arithmetic Sequence:  Start with an initial term a  Add a common difference d  Keep adding the difference d o a(n+1)=a(n)+d Geometric Sequence:  There is a starting term a  There is a common ratio r  Start with a and multiply r each time n+1 o a(n)= a x r Relation: is a a relation is a connection between two sets of objects. • Elements of the first set are connected to elements of the second set. Function: is a specific kind of relation  Function from set A and B o Takes an input from A (domain) o Returns an output from B (codomain) o Each input from A there is exactly one output from B Numbers and Counting What is a set? -a set is a collection of things -must be well defined -need to be able to tell what and what isn’t in the set -set= {NY, OH, WV, MD, NJ} -Listing= {4,5,6,7,8,9} -Set Builder Notation: {N|n is a whole number and 3<n<10} Equal Set: -two sets are equal if they have the same element -to explain why two sets are equal, you explain how -to explain two sets are not equal, you find an element that is in one of them but not the other. One to One Correspondence: -A 1-1 correspondence between A and B is a pairing of the elements of A with the elements of B so that each element of A corresponds to exactly one element of B and vice versa. -not all functions are a one to one correspondence -all one to one correspondences are a function

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