MATH 439 (G) **Topology I ** Fall
2013

8:00 – 8:55 MWF COHH 2121 3 credit hours

**Instructor: ** Dr. Tom
Richmond
COHH 3106 745-6219

tom.richmond@wku.edu

http://people.wku.edu/tom.richmond/

**Office Hours: **

Tu/Th 8:30-9:30; W 1:45-2:30; F 9:00-10:00

Drop-ins and appointments are welcomed.

**Purpose of Course: ** Math 439 (G) is a senior/graduate level
course having Math 317 as a prerequisite. Topology is an extremely broad and
useful area that is at the foundation of traditional advanced mathematics. This is one of the standard courses for
undergraduate seniors or master's students in the U.S. and is strongly
recommended for all majors in mathematics.

**Attendance Policy: ** Registration in a course obligates the
student to be regular and punctual in class attendance. Three or more unexcused absences from
class may result in an "F" as final course grade. A student absent from class bears full
responsibility for subject matter and announcements missed.

**Testing and Grading: ** There will be at least two one-hour
in-class tests, each worth 100 points.
The comprehensive final exam is worth 150 points and will be given at
8:00 Friday, December 13. There
will also be up to 150 points of daily grades, consisting primarily of homework
problem sets and projects. Projects
may involve outside reading or group work.
To fulfill the additional requirements necessary for graduate credit,
students enrolled in 439 G will be required to do additional work, including
expanded problem assignments.
Grading will follow the 10-point scale: 90% of the total number of points is an A, 80% is a B, etc.

**Text: **Introduction to Topology: Pure and
Applied, by Colin Adams and Robert Franzosa, Pearson/Prentice
Hall, (c) 2008, ISBN-13: 978-0-13-184869-6
ISBN-10: 0-13-184869-0..

**Course Outline: Topics**
are developed in conjunction with material presented in the text. After some review of sets and functions
from Chapter 0, we will cover Chapters 1-7. Additional topics from the text or
outside sources will be presented as time permits.

**Learning Outcomes: **By the end of this course, you will
be able to

¥ Apply concepts of open sets, continuity, connectedness, and compactness to problems in

topology and analysis.

¥ Use clear logic and prose to write proofs.

¥ Recognize when the topological concepts of nearness and convergence may be characterized by

a metric.

**Last Date to Withdraw/Audit: **October 16.

ÒIn compliance
with university policy, **students with
disabilities** who require accommodations (academic adjustments and/or
auxiliary aids or services) for this course must contact the Office for Student
Disability Services in DUC A-200 of the Student Success Center in Downing
University Center. Please DO NOT
request accommodations directly from the professor or instructor without a
letter of accommodation from the Office for Student Disability Services.Ó