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.

 

“In 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.”