**MATH 441: Topology**

**Prerequisites: MATH 300**

**Credit Hours: (3)**

An introduction to point-set topology, with emphasis on the study of functions and
the real line.

**Detailed Description of Content of Course**

The following topics will be covered:

a) An introduction to basic set theory including Cartesian Products and DeMorgan's
Laws

b) An introduction to functions and countability

c) A study of topological spaces with an emphasis on the real line and the plane

d) A consideration of bases, subbases and the product topology

e) A consideration of continuous functions

f) An introduction to separation axioms, connectedness, compactness, metric spaces,
and convergence

**Detailed Description of Conduct of Course**

Most instructors will present the course material in lecture format. Students may
be required to prepare and present problems for class discussion. Students are expected
to develop an understanding of the material by working exercises.

**Goals and Objectives of the Course**

1) To develop a knowledge base and problem solving skills which will serve the student
well in future mathematics courses, particularly graduate school analysis courses.

2) The student is expected to develop a deep understanding of the concept of continuous
function.

3) The student is expected to improve skills of presentation including proof writing
and possibly oral presentations.

**Assessment Measures**

Graded tasks may include tests, quizzes, homework exercises, and class participation.

**Other Course Information**

None

Review and Approval

November 7, 2017

Sept. 2001 Review Stephen Corwin, Chair