Section
06 meets MW 6:00  9:45
Rm
317 Shepard Bldg, Providence
Instructor:
Dr. Nancy Eaton, 8744439, eaton@math.uri.edu
Office:
Tyler Hall, Rm 222, Kingston
NOTE: SCHEDULE updated 5/23
Course Description and goals:
Math 108 is a special topics course that satisfies
the general education requirement for math at the University of Rhode Island.
The content of the course varies from section to section and semester to
semester.
In this section of this course, you will have the opportunity to review Basic Math Skills. To better appreciate the variety of subjects within mathematics, you will be introduced to some exciting ideas in mathematics that come from a wide variety of disciplines such as game theory, graph theory, probability, theory of numbers coding theory, and geometry. These topics will be presented along with real world applications such as street networks, planning and scheduling, voting schemes, etc. Also we will discuss aspects of the culture of mathematics, including its history in different cultures and its role in present day culture, particularly, in relationship to some gender issues. In this section we will also discuss math anxiety.
I hope that you will have a better understanding and appreciation for mathematics by the time you finish this course, that you will no longer think that math is only about balancing a check book and designing rockets, and that you will be proud to say that you LIKE math. You may be surprised to find that taking further math courses is both possible and desirable.
Text:
The text for the course is: For all
Practical Purposes, by CoMap. We will all or part of chapters:
1: Street Networks, including graph theory
and Euler Circuits
2: Visiting vertices including Hamiltonian
Circuits
3: Planning and Sceduling
9: Identification Numbers
10: Transmitting Information including
binary codes and cryptography
11: Social Choice and decision making,
including voting schemes
17: Symmetry and Patterns including fibonacci
numbers, the golden ratio
Note: There is much more material in our text,
For
All Practical Purposes, than we could possibly cover this semester,
so I will let you know specific pages that you are responsible for and
that will accompany what we cover in class. Read as much of the rest as
you like.
Methods of learning:
We will use reading, writing, discussion, and
worldwide web assignments as methods of learning the topics covered in
this course. You will discuss and work in groups in class as well as do
some short presentations. Because of the high level of knowledge that will
be imparted and assessed during class time, attendance will be mandatory.
During class time, topics will be presented, examples given and then you
will be given the opportunity to work examples on your own.
Readings:
In addition to the textbook, I will present excerpts
from the following books. These are also suggested for you to read
on your own.
Fear No More, by Hilton and Pederson for
learning general math skills at your own pace.
Conquering Math Anxiety by Arem and Forgotten
Algebra by Bleau. You may find these two books helpful to Conguer your
own math anxiety and refresh your basic math skills.
Multicultural Mathematics, by Nelson,
Joseph and Williams
Women in Mathematics, by Osen
I will also pass out some articles from journals and magazines from time to time to cover a wide range of topics such as math anxiety, relevance of math to our lives, history and experiences of women in math, theory of teaching math.
Prerequisites and Math Skills addressed:
We may divide math levels into the following
categories:
(1) basic arithmetic  through grammar school
and junior high,
(2) basic and intermediate algebra and geometry
 high school math,
(3) pre calculus and trigonometry,
(4) calculus,
(5) advanced college math,
(6) graduate level mathematics, and
(7) research level mathematics.
The topics that we cover are new to you but will be presented in a way that depend on skills from levels (1) and (2) above. You will have the opportunity to review and basic math skills from levels (1) and (2) above that are needed for this course.
Writing Assignment
There will be one research paper due toward the
end of the semester. It does not have to be long, 35 typed pages.
For this assignment, you may pick one of the suggestions given at the end
of the chapters that we cover or you may choose a topic from the following
list.
multicultural mathematics
history of math
current level of math skills
in American high schools
gender and/or race issues
in math education
math anxiety
math puzzles
historical figures in math
 personal histories
professions and levels of
math used for various professions.
Your work will be judged on the basis of relevence
to the course, quality of writing, validity of information, interest, and
references used.
Help With Your studies and homework:
Tutors are available at both the providence and
kingston campuses. Check with them for specific hours. Also, you
can make individual appointments with me. For this, contact me by
phone, email, or ask me during class. You can even email
some of your questions to me and I can answer by email.
Schedule of Events:
Each week we will focus on a new math topic with
classwork and homework problems given. Also each week we will consider
topics relavent to the role mathematics plays in our lives and in history.
For these topics, you will have reading and writing assignments and some
discussions. I will set up appointments to work with you individually on
your basic skills and answer any other questions you have.
Date  Chapter Covered  Homework Due  Exam 
Mon. May 22  chapter 1  
Wed. May 24  chapter 2  HK#1,  
Wed. May 31  chapter 3  HK #2  
Fri. June 2  Review, chapter 9  HK#3  
Mon. June 5  chapter 9  EXAM 1 (on 1,2,3)  
Wed. June 7  chapter 11  HK#4 article  
Mon. June 12  Review, chapter 10  HK #6  
Wed. June 14  chapter 10  EXAM 2 (on 9, 11)  
Mon. June 19  chapter 17  HK #5
written assignment 

Wed. June 21  HK #7
web assignment 
EXAM 3 (on 10, 17) 
Homework assignments:
Homework assignments will be given when we start
a new topic and are due when the next topic begins. You will receive feedback
from me on these homework assignments.
HOMEWORK
NUMBER 1:
Starting
on page 22: 5,6,8,9,10,11,13,14,15,16,17,18,21,22,23,25,26
Hand
in HK #1: 16, 18,22,26.
NOTE:
For all homework assignments that you hand in,
write
neatly,
On your
header, put your name and write out the homework assignment,
include
only the problems that I asked you to hand in,
put
them in order, labeled clearly,
only
write on one side of the paper,
and
leave enough room for me to write comments.
HOMEWORK
NUMBER 2:
Starting
on page 57: 1,2,7,8,12,23,26,27,29,30,31,32,37,38,39,40,45
Hand
in HK #2: (12,26,32,40)
HOMEWORK
NUMBER 3:
From
Chapter 3:5,7,8,9,10,2434,35,36,45,46,47,48
Hand
in HK #3: 8,10,24,34,36,46,48
HOMEWORK
NUMBER 4:
From
Chapter 9: 119, 27,28,40
Hand
in HK #4: 2, 6, 8, 10, 12, 14, 16, 18, 28
HOMEWORK
NUMBER 5:
From
Chapter 10: 1.2.3.4.5.6.7.9.10.11.20.23.25.28.29
Hand
in HK #5: 2,4,6,10,20,28
HOMEWORK
NUMBER 6:
From
Chapter 11: 510, 15,16,17,19,20
Hand
in HK #6: 15,16,17,19,20
Reading Assignments:
Throughout the semester, I will pass out articles
that you should read and write summaries of. We will discuss these
in class.
Email and a Weekly world wide web assignments:
I will use email to send you world wide web
assignments. These will consist of the names of websites. You are
to visit this sites and respond to my email with your comments. If you
are unfamiliar with "surfing the web", visit a computer lab and ask for
help. Once you get started, you will find that it is a very easy
thing to learn to do. To start this process off, as soon as possible, send
me email just saying hello. Once I have email from everyone, I will send
out the first assignment.
Quizzes, Tests and Evaluation:
There are many activities that you will be involved
in throughout this course which will count toward your grade: Identifying
and improving math skills using exercises which I provide, homework
on the new math topics, reading and discussions on articles, visiting web
sites and answering questions, and taking exams. I use the following percentages
to evaluate your efforts and successes in learning this material.
10% (1) Class participation.
20% (2) Homework.
15% (4) Writing assignment..
10% (5) Readings: web assignments and articles.
45% (6) Three 1 hr exams will be given throughout
the semester.