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Topology (340-49-301) Instructor:  Ash, J.M.
Quarter:  Spring, 2006
Time:  TTh 8:30 - 10:00
Campus:  LPC
Room:  Levan 403
Homepage: http://www.depaul.edu/~mash/
E-mail: mash@math.depaul.edu
Phone(s): (773)325-4216
Fax: (773)325-7807
Office: 519 SAC
Office Hours: TTh 10:15 - 11:45, also by appointment


 

 

 

Prerequisites

Either MAT 141 or MAT 215, and either MAT 220 or MAT 262. Prerequisites are strictly enforced by the Math Department. A prerequisite can only be waived by approval of the instructor and the department chair.

Textbooks and other materials

Introduction to Metric and Topological Spaces, W. A. Sutherland, Oxford Science Publications.

Summary of Course

Chapter 1: Review of Some Real Analysis

Chapter 2: Metric Spaces

Chapter 3: Topological Spaces

Chapter 4:  Hausdorff Condition

Chapter 5: Compact Spaces

Chapter 6: Connected Spaces

Chapter 7: Convergence in Metric Spaces

Chapter 8: Uniform Convergence

Chapter 9: Complete Metric Spaces

 

Homework and Grading Policy

Midterm and final exams, in class and closed book will count equally in determining a preliminary grade. Homework will be assigned each class day, discussed the next class day, collected the next class day and will increase or decrease the preliminary grade by at most one grade. For example, B+ and satisfactory homework = A-. Make-up exams will not be given. The final exam will be from 8:45-11:00 on Monday, June 5, 2006.

Methods

Classroom lectures and discussion.

 

DePaul University's Academic Integrity Policy

Students must abstain from any violations of academic integrity and set examples for each other by assuming full responsibility for their academic and personal development, including informing themselves about and following the university's academic policy. Violations of academic integrity include but are not limited to the following categories: cheating; plagiarism; fabrication; falsification or sabotage of research data; destruction or misuse of the university's academic resources; alteration or falsification of academic records; and academic misconduct. Conduct that is punishable under the Academic Integrity Policy could result in additional disciplinary actions by other university officials and possible civil or criminal prosecution. To review the complete Academic Integrity Policy of the University, please go to http://condor.depaul.edu/~handbook/code17.html .