Topology

Course Goals	To provide an understanding of the essential concepts of topology and to furnish the tools necessary to apply the techniques of topology in a variety of contexts.
Methods of Instruction	Learning higher mathematics requires effort by the learner working on practice problems and homework problems. The faculty member will support this effort with motivation, examples and discussion.
Methods of Evaluation	We will use practice problems in class, homework assignments, tests, and a final examination to evaluate student performance.
Attendance Policy	The full attendance policy, stated in the Texas College Catalog, applies to this course. Specifically, more than four unexcused absences may result in a grade penalty.
Cell Phones	Turn off all cell phones before class begins. If your cell phone goes off during class, I will dismiss you from class and will give you a zero for that day's assignment.
Practice Problems	Students should come to class prepared to work practice problems. Students do not have to turn in practice problems done in class.
Notes	Since taking extensive notes provides dubious benefit, we do not encourage this practice. Instead we recommend that students concentrate on understanding the explanations given, doing the practice problems and homework problems, and asking lots of questions.
Homework Problems	At the end of each lesson students should do the assigned exercises. Write your name at the upper right corner of each page and write the section number at the upper left corner of each page. Turn in homework two class periods after the completion of a section.
Tentative Test Plan	Chapter 1: Test Chapter 2: Test Chapter 3: Test
Final Examination	The comprehensive final examination will count as two regular examinations.
Grade Determination	Let X represent the sum of the two test scores. Let Y represent twice the score on the final. Then the semester grade G = (X + Y)/4. A grade G ³ 90 will yield an A, G ³80, will yield at least a B, G ³70, at least a C, and G ³60, at least a D. Homework and practice problems will serve as "tie-breakers" for borderline grades and for purposes of mercy.
Important Dates	Mid-term examination: Thursday, March 6. Last day to drop with a W: Friday, April 11.
Texas College Online Databases	http://drglass.texascollege.edu/opac/index.htm http://www.jstor.org/search http://www.libraryoftexas.org http://www.texshare.edu/drglasslibrary/index.php3

Web Resources	http://www.ams.org/ http://www.maa.org/ http://www.nasa.gov/ http://www.nctm.org/ http://www.siam.org/

Course Number	MATH 43752
Course Description	Studies set theory, limits and metric spaces, digital systems; completeness and compactness, mappings and other characteristics of functions; fundamental concepts of topology such as congruence classes, surfaces, connected surfaces; Euler's characteristics, the Jordan curve, topological spaces.
Textbook	Simmons, George F., Introduction to Topology and Modern Analysis, Krieger, 1982.
Semester	Spring
Semester Hours	3
Prerequisite	None
Attendance	The full attendance policy, stated in the Texas College Catalog, applies to this course. Specifically, more than four unexcused absences may result in a grade penalty.
Instructor	Dr. William Stenger
Office Hours	9–10:Monday,Wednesday, and Friday 8:30–9:30: Tuesday and Thursday 11–noon: Monday and Friday 3–4: Monday, Tuesday, and Wednesday Other times by appointment
Office	113 MSBC
Phone	(903) 593-8311, ext.2283

Prepared by:	William Stenger
	Instructor	Date
Approved by:	M.S.T. Namboodiri
	Division Chair	Date