Mth108 Topics in Mathematics – Summer 2006
Section 1000  meets MW: 6:00 – 9:45
Providence
Instructor: Dr. Nancy Eaton, 8744439, eaton@math.uri.edu
Office: Tyler Hall,
Rm. 222, Kingston
Office hours: By appointment


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 University of Rhode Island. It introduces the nonmathematics student to the spirit of mathematics and its applications. The content of the course varies from section to section and semester to semester.
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, 5th edition, by Peter Tannenbaum and Robert
Arnold. 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
11: Symmetry
12: Fractal Geometry
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. Under Homework
Assignments below, you will see the specific problems, 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 (Don Plante) TR
116, W 104, usually on 2nd floor, students should ask.
Kingston: Brian Joseph MW
125 Cassandra Brewer TR 36, W
48 (both in Tyler 102104)
These hours might change
slightly. Check the department website for updates.
It may be necessary to limit
time that a tutor can spend with an individual student due to the number of
students potentially served.
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
Writing Assignment #1:
20, 34
Exercises from chapter
3: starting on page 112. 117
(Odd), 39, 41, 43 47, 51
Writing Assignment #2:
10, 42  Be
sure to give reasons.
Exercises from chapter
5: starting on page 203. 1,
511 (Odd), 1519 (Odd) 2329(Odd), 41,43, 63
Writing Assignment
#3: 54 
Be sure to draw the picture and the graph models. Give a verbal explanation
of your solution.
Exercises from chapter 6: starting on page 247. 1,3,7,9,11, 19, 2329 (Odd), 3741 (Odd)
Exercises from chapter 7: starting on page 293. 17 (Odd), 1115 (Odd), 19, 21, 25
Exercises from chapter
8: starting on page 342. 711
(Odd), 1721 (Odd), 2529 (Odd) 35, 36, 39, 47, 50
Writing Assignment #4:
36  Do 35
first to check your understanding
and 50  Do 47 first to check your understanding
Exercises from chapter 11: starting on page 453. 1, 3,13,15,2939 (Odd), 45,47
Exercises from chapter
12: starting on page 500. 1, 2a,
3a, 5(a, b), 9, 10a, 11a, 15
Writing Assignment #5:
9, 10a, 11a 
Use graph paper and start with a very large square  Do not trace the solution.
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 
Mon 5/22 
Chapter 1 


Wed 5/24 
Chapter 3 
WA#1 (on Chapt1) 





Wed 5/31 
Chapter 5 
WA#2 (on Chapt3) 
Quiz 1 (on Ch1) 
Fri 6/2 
Chapter 6 (No class Monday) 

Quiz 2 (on Ch3) 




Mon 6/5 
Chapter 7 
WA#3 (on Chapt5) 
EXAM 1 (on 1 & 3) 
Wed 6/7 
Chapter 8 
WWW#1 
Quiz 3 (on Ch 5 & 6) 




Mon 6/12 


EXAM 2 (on 5 & 6) 
Wed 6/14 
Chapter 11 
WA#4 (on Chapt8) 
Quiz 4 (on Ch 7 & 8) Quiz 5 (on Chapt11) 




Mon 6/19 
Chapter 12 

EXAM 3 (on 7 & 8) 
Wed 6/21 

WA#5(on Chapt12) 
Final Exam 
Fri 6/23 

WWW#2 

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 (10% each)
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 – During this summer 2006 session – You
may make up quizzes missed from up to 2 class periods. You must notify me by email in advance
of missing the class – 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)
Keys to Exams:
URI Civility Policy
The University of Rhode Island is committed to developing and actively protecting a class environment in which respect must be shown to everyone in order to facilitate the expression, testing, understanding, and creation of a variety of ideas and opinions. Rude, sarcastic, obscene or disrespectful speech and disruptive behavior have a negative impact on everyone's learning and are unacceptable. The course instructor will have disruptive persons removed from the class.