MA 111 6.1 Circuit Training
MA 111
Can you draw the image below without lifting your pen from the page, starting and ending at
point X?
Graph Theory some definitions
A graph is a collection of points and lines connecting the points.
The points are called
Math 111 Mathematical Thought and Problem Solving
Battleships Solutions
File 1
We can immediately extend the ship segments in the corners. The one in the upper-right is
extended at least one left, and the one in the lower-left extends at least one up. We
1
2
3
4
5
A
B
C
D
E
F
Begin with the circle in F3. We have to go straight through it in both directions, so the line can't
go straight up. Therefore we can draw a line from F2 to F4.
That line must bend up in the black circle in F4 and continue for two sq
Section 6.2 Feeling Edgy
Section 6.2
Feeling Edgy?
Try doodling something crazy
Exploring Relationships Among Vertices, Edges, and
Faces
Insight into difficult
challenges often
comes by first looking at easy
cases.
Try doodling something crazy
O Try doodl
Section 4.2
A View of an Art Gallery
MA 111
Using Computational Geometry to Place Security Cameras in Museums
How do we strategically place video cameras in an art gallery such that every point of the
gallery will be viewed by at least one camera?
Top vie
Section 2.4: Crazy Clocks and Checking Out Bars
Cyclical Clock Arithmetic and Bar codes
Identifying similarities among different objects is often the key to understanding a deeper idea.
Section 2.4: Crazy Clocks and Checking Out Bars
Complete the starter
MATH 111 Section 2.4 Crazy Clocks and Checking out Bars
UPC and ISBN bar coding
How does a register at the supermarket
accurately scan item numbers? Can mistakes in
scanning be detected? The purpose of this
activity is to see how modular arithmetic is
app
Fun With Prime Numbers
Worksheet 1
Suppose m and n are natural numbers. We say that m is a divisor of n or that m evenly divides n
or that n is a multiple of m if there is some natural number x such that mx = n. For example, 7 is
a divisor of 21, since 7
Worksheet 2 Knights and Knaves
These problems all take place on a mythical island where each person is either a knight or a
knave. Knights always tell the truth, while knaves always lie.
1. Three inhabitants (Albert, Betty, and Chris) are standing in a ga
The Re-Occurring Problem
Problem solving is equated to word problems in
the field and with current college students.
Part of the crusade with this presentation is to
increase the awareness that problem solving is much
more than word problems.
Brahier (
Math 111: Mathema*cal
Thought and Problem Solving
2.1: Es*ma*on and the Pigeonhole
Principle
Chapter 2: Number Contempla*on
2.1: Coun*ng
2.2: Numerical [email protected] in Nature
2.3: Prime Numbers
2.4: Clock Arithme*c
2.5:
Section 2.2
Subconsciously, we are sensing a hidden order.
Shasta daisy with 21 petals
Field daisy with 34 petals
Lets closely inspect the yellow in
the middle of the daisy.
The yellow area contains clusters of
spirals coiling out from the center.
In fact
Pythagoras of Samos
ca. 560-ca. 480 BC)
"For I discerned a certain sublimity in the discipline of
Pythagoras, and how a certain secret wisdom enabled him
to know, not only who he was himself, but also who he had
been; and I saw that he approached the al
Mount St. Marys University
Spring 2014
Mount Saint Marys
Mathematical Thought and Problem Solving Math 111
Spring 2014
Instructor Information
Name: Professor Chris Jarvis
Room: Coad Science 118 C
Phone: 301.447.5291
Email: [email protected]
Office Hours:
Factors, Prime Numbers &
Composite Numbers
Definition
Product An answer to a
multiplication problem.
7 x 8 = 56
Product
Definition
Factor a number that is
multiplied by another to give a
product.
7 x 8 = 56
Factors
Definition
Factor a number that divid
Bayes Theorem
Example
n
Three jars contain colored balls as described in the table
below.
One jar is chosen at random and a ball is selected. If the ball is
red, what is the probability that it came from the 2nd jar?
Jar #
1
2
3
Red
3
1
4
White
4
2
3
Blue
Math 111 Mathematical Thought and Problem Solving
Exam 1 Review Guide
Date: September 13, 2013
Value: 100 points
This exam covers all the topics we discussed (or will discuss) during the first four weeks of the
course that will be covered on the exam. Her
Math 111 Mathematical Thought and Problem Solving
Exam 2 Review Guide
Date: March 17, 2014
Value: 100 points
This exam covers all the topics we discussed between what was covered on the first exam and
now. Here's a brief summary:
The Pythagorean Theorem (