Introduction to Topology
- Course description
This three-credit course covers
metric spaces; topological spaces; separation axioms; continuity,
convergence, connectedness, and compactness; basic notions in homotopy theory; quotient spaces;
- Course objectives
By the end of the course, you should be able to
- explain the fundamental concepts and theorems of topology;
- construct topological examples and counterexamples; and
- apply your knowledge to solve problems and prove theorems.
The required textbook is the second edition of Elementary Topology by Michael C. Gemignani.
The prerequisites for this course are Math 220 (Foundations of
Mathematics) and Math 221 (Several Variable Calculus).
- Meeting time and place
The course meets in room 223 of the Civil Engineering
Building on Tuesday and Thursday afternoons from 2:20 to 3:35.
The first class meeting is on Tuesday, January 14; the
last class meeting is on
Thursday, April 24, because the final class day of the semester
(Tuesday, April 29) is a redefined day on which students attend their Friday classes.
- Exams and grades
There will be examinations in class on February 13 (Thursday) and
April 3 (Thursday), each counting for 25% of the course grade.
Homework, quizzes, and in-class work count for 25% of the
There is no final examination; instead, you will write a term paper
(due on April 25),
worth 15% of the course grade.
The remaining 10% of the course grade is based on an online journal
that you will keep during the semester.
grades are based on the standard scale (60% is passing, 70% or higher earns a C, 80% or higher earns a B, 90% or higher earns an A).
- Course website
- Office hours
During the Spring 2014 semester, my office hour
is on Monday and Wednesday afternoons from 2:30 to 3:30; I am
available also by appointment.
At the beginning of the semester, my office location is
but I expect to move to the Blocker building later in the
semester. Update: My new office, as of April 7, is Blocker 601L.
The best way to contact me is via email to firstname.lastname@example.org. Telephone messages can be left at the Department of Mathematics, 979-845-