Department of Mathematical and Digital Sciences

Bloomsburg University of Pennsylvania

MATH 101

**Summer 2018**

Section 31: Mo-Th, 9:50-11:30 in Bakeless 104

Professor: Drue Coles

E-mail: dcoles@bloomu.edu

Phone: 570-389-4626

Office: 235 Ben Franklin Hall

Office Hours: Mo-Th, 9:00-9:45 and 11:30-12:00

**Text:** *For All Practical Purposes*, 10th edition, Comap, W.H.
Freeman and Company, 2016.

**Prerequisites:** There are no college-level prerequisites for this course.

**Course Description.**
If you have studied arithmetic and geometry during your K-12 years and decided that
mathematics is uninteresting, you are among the majority. But that is like studying the
rules of spelling to the point of boredom and deciding that literature is uninteresting.
The rules of spelling are important, but they tell you nothing about novels and poetry.
In the same way, your early exposure to practical arithmetic and geometry was important,
but it probably did not reveal to you anything about the scope and character of modern
applied mathematics. That is exactly what this course is about.

Mathematical thinking is explored in this course through a variety of interesting ideas from different areas of applied mathematics. For example, we will learn about common voting methods and see how each of them can lead to paradoxical outcomes. We will also study methods for the fair division of property and goods among parties with conflicting interests. And we will discover that the movement of objects through a network can be modeled mathematically in order to investigate everything from the efficient routing of delivery trucks to the propagation of rumors through a social network.

**Schedule and Reading** (numbers refer to sections in the book)

- Graphs and Euler Circuits (1.1-1.4)
- Hamiltonian Circuits and Spanning Trees (2.1-2.4)
- Voting Systems (9.1-9.5)
- Fair Division (13.1-13.8)
- Linear Programming (4.1-4.4)
- Tilings (20.1-20.5)

**Articles:**
Graph Theory
•
Mathematical Biology
•
Traveling Salesman Problem

**Grading.**
Course grades are determined by chapter quizzes, a midterm exam, and
a comprehensive final exam.

Quiz Average 50% |
Midterm Exam 20% |
Final Exam 30% |

Your weighted total will be converted to a letter grade using the following scale:

A 100-92 |
A- 91-90 |
B+ 89-88 |
B 87-82 |
B- 81-80 |
C+ 79-78 |
C 77-72 |
C- 71-70 |
D+ 69-68 |
D 67-60 |
F 59-0 |

**Exams.**
No electronic devices of any kind may be used for any reason during an exam. If you must
miss class on the day of a quiz or exam in order to participate in a university-sponsored
event, attend a job interview, or fulfill some other serious commitment, let me know
*in advance*. I will be happy to accommodate reasonable requests for alternative
testing arrangements in such cases. If a medical emergency or other serious
dilemma makes it impossible for you to inform me in advance, notify me by
email prior to class upon your return.

The final exam will be on **Thursday, August 9,** our last
scheduled class meeting. Please note that the exam will not given on other
dates to accommodate individual vacation plans, so be sure not to book a
flight until classes are officially over.

**Homework.**
I assign plenty of homework from each chapter to prepare you for the quizzes and exams.
I do not collect the homework but we will review solutions together in class. If you
have any trouble completing the assigned problems, I will be glad to help you during
office hours. There is a very high correlation between (a) completion of the homework
problems with genuine understanding and (b) performance on the quizzes and exams, so do
not hesitate to ask for help if you need it.