**Section
10 meets M,W 6:00 - 9:45**
**Shepard
Bldg, Providence**

**Instructor:
Dr. Nancy Eaton, 874-4439, eaton@math.uri.edu**
**Office:
Tyler Hall, Rm 222, Kingston**
**Office
hours: Mondays at 5pm in our classroom and by appointment.**
**MATH
TUTOR**

Course
Description |
Class
work |
Schedule |

Text |
Home
work |
World wide web |

Writing assignments |
Quizzes |
Evaluation |

Keys to quizzes | Keys to exams |

** 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 non mathematics
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.

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 world-wide 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.

** Text: **The
text for the course is:

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, 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.**

** Additional 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.

** 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.

** World wide web assignments:**I
will use e-mail to send you world wide web assignments. These will consist
of the names of web sites. You are to visit this sites and respond
to my e-mail 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 e-mail just saying hello. Once
I have e-mail from everyone, I will send out the first assignment.
This work will count as 10% of your grade.

** Writing Assignments: **
Short writing assignments will given throughout the course. You will
be given specific problems from the book to write up in detail, including
the complete question and the solution written in a logical manner.
Your work should be neat and proper use of grammar should be followed.
Emphasis will be placed on proper use of logic in your explanation.

** 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 loose leaf notebook. This is because you
can more easily keep it in order. Often, one individual problem will
take many passes before it is worked up completely correctly. You
need to see that you understand each problem completely. 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.

Tutors are available at both the providence and kingston campuses. Assistance with all levels of mathematics is available on a walk-in basis in Room 240. Hours are posted each semester. Also, you can make individual appointments with me. For this, contact me by phone, e-mail, or ask me during class. You can even e-mail some of your questions to me and I can answer by e-mail.

__Home work 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.

**Exercises
from chapter 1: starting on page 25:
1,9,17,19,25,27,31,33,35,37,39,41,43,45,49,51,58,59**
**Writing
Assignment #1: 51, 52**

**Exercises
from chapter 3: starting on page 99.
1-17 (Odd) 23-29 (Odd) 39, 41, 43 47, 51, 59, 63**
**Writing
Assignment #2: 9, 11 Be sure to give reasons.**

**Exercises
from chapter 5: starting on page 178.
1, 5-19 (Odd), 23, 25, 29-35 (Odd), 35, 39, 41, 53, 54, 60**
**Writing
Assignment #3: 53, 54 Be sure to draw the picture and the graph
models.**

**Exercises
from chapter 6: starting on page 218.
5-11 (Odd), 19, 23, 27-31 (Odd), 37-41 (Odd)**

**Exercises
from chapter 7: starting on page 258.
1-7 (Odd), 11-15 (Odd), 19, 21, 25-31 (Odd)**

**Exercises
from chapter 8: starting on page 301.
7-13 (Odd), 17-29 (Odd), 33-37 (Odd), 47, 49.**
**Writing
Assignment #4: 36 (to make sure you understand, do 35 and check the
answer before doing 36)**
**50 (do
47 first to check your understanding)**

**Exercises
from chapter 11: starting on page 394.
1, 5, 25-35 (Odd), 41-47 (Odd)**

**Exercises
from chapter 12: starting on page 434.
1-5 (Odd), 9-15 (Odd), 25, 27.**
**Writing
Assignment #5: 9, 10, 11 (Use graph paper and start with a very large
square)**

** Quizzes: **
Short quizzes will be given each class based on the homework. Problems
will be selected at random from the homework to demonstrate your understanding
of the material. Complete solutions to the quizzes will be handed out to
demonstrate the proper write up of a problem. You should study these
as examples for the writing assignments. 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 a copy of the quiz and its solution.

** Exams: **
Three short 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. Exactly 1 hour
will be allowed for each exam. Solution keys will be given.

** Final exam: **
The final will be cumulative. 2 sections will be new, the rest will
be covered in previous exams. The questions given from sections covered
in previous exams will be similar to those given before. So prepare
by going over the solution key to each exam.

** Course schedule: **
The following is the schedule of events. We will use the entire class
period each day of class. Please come prepared to work hard until
9:45 each evening.

Date |
Chapter Covered |
Homework Due |
Exam |

Mon. May 20 | chapter 1 | ||

Wed. May 22 | chapter 3 | Writing assignment #1, | quiz 1 |

Wed. May 29 | chapter 5 | Writing assignment #2 | quiz 2 |

Fri. May 31 | chapter 6 | EXAM 1 (on 1,3) | |

Mon. June 3 | chapter 7 | Writing assignment #3 | quiz 3 |

Wed. June 5 | chapter 8 | Www assignment #1 | EXAM 2 (on 5, 6) |

Mon. June 10 | chapter 11 | Writing assignment #4 | quiz 4 |

Wed. June 12 | chapter 12 | EXAM 3 (on 7,8) | |

Mon. June 17 | REVIEW | Writing assignment #5 | quiz 5 |

Wed. June 19 | Www assignment #2 | Final exam on all chapters
1,3,5,6,7,8,11,12 |

** Evaluation:**The
following percentages are given to compute your grade for the course.
Each category is described above.

10% - Class participation.

10% - World wide web assignments

15% - Writing assignments

15% - Quizzes

30% - Three 1 hr exams (10% each)

20% - Final Exam

KINGSTON:
Brian Travers - RM. 104B, VHCrash@aol.com, 4-4186

Hours:
Mon-Thurs, 9-1 pm

PROVIDENCE:
Thomas Buss - Shepard Bldg. Rm. 240 (Prov.), tbuss@math.uri.edu

Hours:
Mondays - 11-5 pm, Tuesday 9-3 pm, Wed. - 9-1 pm