THE UNIVERSITY OF WESTERN ONTARIO
DEPARTMENT OF MATHEMATICS
METRIC SPACE TOPOLOGY
TEXTBOOK: Metric Spaces by Micheal O. Searcoid, published by Springer Verlag. ISBN 1-84628-369-8.
PREREQUISITES: Minimum 60% in one of Mathematics 2122A/B or 2123A/B.
COURSE OUTLINE: An introduction to the theory of metric spaces with emphasis on the point-set topology of Euclidean n-space, including convergence, compactness, completeness, continuity, uniform continuity, homeomorphism, equivalence of metrics, connectedness, path-connectedness, fixed-point theorem for contractions, separability, normality, product spaces, category.
EVALUATION OF STUDENT PERFORMANCE:
Regular assignments worth 40% of the final mark.
Two in-class Midterm Examinations (October 12 and November 16) worth 10% each .
A three hour cumulative final examination, worth 40% of the final mark.
EXAMINATION DATES: TBA in class.
LECTURES: MWF 11:30--12:30, UC 202. Beginning September 9, 2011.
IMPORTANT SENATE POLICY:
Students are responsible for ensuring that their selection of courses is appropriate and accurately recorded and that all course prerequisites have been successfully completed. If the student does not have the requisites for a course, and does not have written special permission from his or her Dean to enroll in the course, the student may be removed from the course and it will be deleted from the student's record. This decision may not be appealed. A student will receive no adjustment to his or her fees in the event that he or she is dropped from a course for failing to have the necessary prerequisites.
STATEMENT ON ACADEMIC OFFENCES:
"Scholastic offences are taken seriously and students are directed to read the appropriate policy, specifically, the definition of what constitutes a Scholastic Offence, at the following Web site: http://www.uwo.ca/univsec/handbook/appeals/scholoff.pdf "
NEW MEDICAL EXCUSE REGULATIONS:
If you are unable to meet a course requirement due to illness or other
serious circumstances, you must provide valid medical or other
supporting documentation to the Dean's Office as soon as possible and
contact your instructor immediately. It is the student's responsibility
to make alternative arrangements with their instructor once the
accommodation has been approved and the instructor has been informed. In the event of a missed final exam, a "Recommendation of Special Examination" form must be obtained from the Dean's Office immediately.
For further information please see:
A student requiring academic accommodation due to illness, should use the Student Medical Certificate when visiting an off-campus medical facility or request a Record's Release Form (located in the Dean's Office) for visits to Student Health Services.
The form can be found here: