Mth108 Topics in
Mathematics Θ Fall
2006
Instructor: Dr. Nancy Eaton, 8744439, eaton@math.uri.edu
Office: Tyler
Hall, Rm. 222,
Office hours: R 8:00 – 9:00
Students who require accommodations and who have documentation
from
Disability Services
(8742098) should make arrangements with me as soon as possible.
Course Description and goals: Math 108 is a
special topics course that satisfies the general education requirement for math
at the
In this section of this course, you will be
introduced to some exciting ideas in mathematics that come from a wide variety
of disciplines such as voting theory, graph theory, game theory, scheduling,
counting, algebra, and fractal geometry. These topics will be presented along
with real world applications such as voting schemes, fair division schemes,
street networks, planning and scheduling, pattern recognition, and fractals in
nature. Three skill areas are addressed, namely, reading of complex texts, use
of quantitative data, and writing.
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.
We will use reading, writing, discussion, and
worldwideweb 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.
Text: The text for the course is: Excursions In Modern
Mathematics, 6th edition, by Peter Tannenbaum. We will cover the
following chapters.
1: The Mathematics of Voting
3: Fair Division, The Mathematics of Sharing
5: Euler Circuits
6: The Traveling Salesman Problem
7: The Mathematics of Networks
8: The Mathematics of Scheduling
10: The
Mathematics of Population Growth
Note: There is much more material in our text
than we could possibly cover this semester.
Read these entire chapters. We
will cover most of the material in these chapters.
Class work: Examples and
exercises will be worked on in class. There will be some class discussion
and working in groups. This is a very important time to absorb the information
and begin to understand how to apply it to problems. This work will count
as 10% of your grade. I will collect
names while you work in class so that I can count your work toward your grade. No makeups are given.
World wide web assignments: I will use email to send you worldwideweb
assignments. These will consist of the names of web sites and questions for you
to answer about each site. You are to visit these sites and respond to my
email with your answers to my questions. 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 do. To start
this process off, as soon as possible, send me an email just saying hello with
"MTH108" followed by your full name as the subject. Once I have
email from everyone, I will send out the first assignment. This work
will count as 10% of your grade.
Writing Assignments: Short
writing assignments will be given throughout the course. These are writing intensive and will take
quite a bit of time to complete. The specific problems, will be selected
from the text, for each writing assignment.
Follow these instructions carefully:
1) (5pts) Your header should include your name, writing
assignment number, list of problems in this assignment (including the
problem numbers and chapter).
2) (5pts) Put the problems in the proper order. Label them and all parts clearly. Do not include any other exercises.
3) (5pts) Only use one side of the paper. Leave room for me to write comments. Staple together all pages.
4)
(5pts) Write out the entire question and copy
any charts or diagrams.
5)
(5pts) Write neatly and follow rules of proper
grammar. Use of a word processor is
recommended.
6)
(5pts) Give your solution in paragraph format.
You may break from paragraph format to give tables, diagrams, or
equations.
7)
(35pts) Explaining clearly, exactly how you
calculated every answer. Explain it as
if you are explaining it to someone who doesn’t know the theory. Use proper terminology.
8)
(35pts) Emphasis will be placed on correct work
and proper use of logic in your explanation.
This work will count as 15% of the final grade for
the course. I will accept these
assignments late, but points will be deducted for late work, without exception.
Homework: Problems
are assigned from the book. You are responsible to do all problems that
are assigned. We will work on some in class and you will hand some in as
writing assignments. It is best if you collect all of your homework in a
looseleaf notebook. This is so that you can keep it in order and add
corrections from class. Often, one individual problem will take many
passes before it is worked up completely correctly. You must take the responsibility
of seeing to it that you know how to correctly answer each homework
problem. Many problems will be presented in class. Take notes and
compare it to what you wrote. The quizzes will be based on the
homework. If you understand every homework problem then you should have
no trouble on the quizzes.
Tutor: Providence.
Kingston.
Homework assignments: Begin working on the
exercises from each chapter when it is first introduced in class. There will be some class time allowed for
going over some questions on the homework.
Exercises from chapter
1: starting on page 28: 1, 9, 17, 19, 20, 27, 31, 33, 34, 35, 37,
41, 43, 45, 49, 51
Exercises from chapter
3: 117 (Odd), 39, 41, 43 47,
51
Exercises from chapter
5: 1, 511 (Odd), 1519 (Odd) 2329(Odd), 41,43, 63
Exercises from chapter
6: 1, 3, 7, 9, 11, 19, 2329 (Odd), 3741 (Odd)
Exercises from chapter
7: 17 (Odd), 1115 (Odd), 19, 21, 25
Exercises from chapter
8: 711 (Odd), 1721 (Odd), 2529 (Odd) 35, 36, 39, 47, 50
Exercises from chapter
10: To be announced
Quizzes: Quizzes will be given based on the homework. Problems
will be selected at random from the homework to demonstrate your understanding
of the material. If you miss a quiz, no makeup will be given, instead, the two
lowest quiz grades will be dropped and the rest will be averaged to give 15% of
the grade for the course. You are responsible to get from me a copy of
the quizzes that you miss.
Exams: Three exams
will be given on the material from the chapters indicated. The exam
questions will be based on the homework questions. To prepare, make sure
you understand homework and quiz solutions. Solution keys will be given.
Final exam: The final
will be cumulative. It will cover chapters that were covered on the
previous 3 exams, namely, Chapters 1, 3, 5, 6, 7, and 8.
Course schedule: The
following is the schedule of events. When
a chapter is listed, we begin to cover the material in that chapter. After introducing a chapter, we will used
class periods to finish covering the chapter and going over examples and
exercises.
Week of 
Introduce Chapter 
Writing and WWW Due 
Quizzes and Exams 
Thurs 9/7 
Chapt 1 


Thurs 9/14 
Chapt 3 


Thurs 9/21 



Thurs 9/28 
Chapt 5 
WA#1 (Chap 1: 12, 18, 36) 
Quiz 1 (on Ch1) 
Thurs 10/5 
Chapt 6 
WA#2 (on Chapt3: 18, 56, 64) 
Quiz 2 (on Ch3) 
Thurs 10/12 

WA#3 (on Chapt5: 18, 28, 42) 
EXAM 1 (on 1 & 3) 
Thurs 10/19 
Chapt 7 
WWW#1 
Quiz 3 (on Ch 5) 
Thurs 10/26 
Chapt 8 
WA#4 (on Chapt6: see below) 
Quiz 4 (on Ch 6) 
Thurs 11/2 

WA#5 (on Chapt7: see below) 

Thurs 11/9 
Mini Ex 2 
WWW#2 
EXAM 2 (on 5 & 6) 
Thurs 11/16 

WA#6 (on Chapt8: see below) 
Quiz 5 (on Ch 7) 
Thurs 11/30 
Chapt 11 
WA#7 (on Mini Ex 2: see
below) 
Quiz 6 (on Ch 8) 
Thurs 12/7 

Worksheet on Ch11done in
class 
Exam 3 (on 7 & 8) 
Thurs 12/14 


Final Exam (on 1,3,5,6,7,8) 
Evaluation: The following percentages are given to compute your grade
for the course. Each category is described above.
10%  Class participation
10%  Worldwideweb assignments
15%  Writing assignments
15%  Quizzes
30%  Three 1 hr exams
20%  Final Exam
A(92100)
A+(90,91) B+(87,88,89) B(8286) B(80,81) C+(77,78,79) C(7276) C(70,71)
D+(6569) D(6064)
Summary of Policies:
Quizzes: You may make up quizzes missed from up to 2 class
periods. You must notify me by email in
advance of missing the class and give your reason for missing. All makeups will be given by appointment
outside of class hours in as timely a manner as possible.
Writing assignments: You may hand in any
assignment on or before the due date.
After that, it is considered late and points will be deducted, unless there
are exceptional circumstances.
Exams You must take all exams during the assigned class period,
unless you have made arrangements with me in advance. If you are sick on the exam date, call my
office and leave a message or send me an email, saying that you are sick. We will make arrangements for a makeup as
soon as you are feeling better.
Attendance: I give work in class and it counts 10% toward your
grade. I keep a record of who
participates in the class assignments by collecting your names during the
assignment. If you are not there, you
can’t do this work, and this part of your grade will suffer. I
don’t make any exceptions.
Integrated Skills for General Education:
This course has been approved as a general
education course. As such, it must focus
on at least three integrated skills.
They are:
1.
Read complex texts.
2.
Use of quantitative data.
3.
Write effectively.
Practice
for Exam 3 (including solution)
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The