SYLLABUS –MATH 4133

Spring 2010

Course title: Intro to Topology

Class time/location: Tu & Th 7:00-8:20 p.m./BAYOU 3315

Instructor: Dr. Zack (also known as Zokhrab) Mustafaev

Office: Bayou 3521-6, phone: (281) 283-3735

E-mail: mustafaev@uhcl.edu

Office hours: Mon & Wed 5:30-6:30 p.m., Tu & TH 4:00-5:20 p.m.

Text: Principles of Topology, Fred H. Croom

Prerequisites: Advanced Calculus

Content: An introduction to the general techniques of point set and general topology with emphasis on a mastery of fundamental concepts and rigorous proofs.

Learning Outcomes/Course Objectives: On successful completion of this course students should be able to

· determine whether a collection of subsets of a set determine a topology;

· determine if a subset of a topological space is connected and be familiar with the basic properties of connected subsets;

· determine if a subset of a topological space is compact and be familiar with basic properties of compact subsets;

· improve their ability to read and create mathematical proofs.

Homework: A typical homework assignment will consist of a few of the assigned problems on each area when content is introduced. I will regularly collect two homework exercises on Thursday at the beginning of class. No later homework will be accepted. Students are responsible for the solution of homework problems. I strongly encourage you to see me if you are having difficulty with the material in this course.

Exams: There will be two exams. Exams will be taken on the assigned date. Personal illness or a family emergency, accompanied by appropriate documentation, are the only excuses for submitting a late homework assignment or for requesting a make-up exam.

Grading: Exam I - 40%, Final - 40%, HW - 20%

Attendance: Students are expected to attend class regularly and to take exams as scheduled unless arrangements are made in advance. A student is responsible any work missed due to absence.

Honesty Policy: The Honesty Code is the university community’s standard of honesty and is endorsed by all members of the University of Houston - Clear Lake academic community. It states: I will be honest in all my academic activities and will not tolerate dishonesty.

Disabilities: If you are certified as disabled, please notify me as soon as possible. If you are not currently certified and believe you may qualify, please contact to the UHCL Health and Disability Services office.

6 Drop Rule Limitation: Students who entered college for the first time in Fall 2007 or later should be aware of the course drop limitation imposed by the Texas Legislature.  Dropping this or any other course between the first day of class and the census date for the semester/session does not affect your 6 drop rule count.   Dropping a course between the census date and the last day to drop a class for the semester/session will count as one of your 6 permitted drops.  You should take this into consideration before dropping this or any other course. Visit www.uhcl.edu/records for more information on the 6 drop rule and the census date information for the semester/session.

Remark: February 1, 2010; Last day to Drop/Withdraw without Grade Penalty