Math 306: Topology 2006

Introduction to Topology, Crump Baker

Dr. Roland Minton, Trexler 270-G, 375-2358 office hours: 11-12M, 1-2T, 11-12W, 2-3Th

minton@roanoke.edu www.roanoke.edu/staff/minton/ccourse.html

Course Objectives: Understand the motivation, techniques and basic results of introductory point-set topology. Appreciate the use of definitions and theorems to precisely determine what is known and what is unknown. Abstract the ideas of calculus (especially continuity), understand how they apply to sets of numbers and extend them to general sets. Understand (but probably not laugh at) the classic joke, “A topologist is someone who can’t tell the difference between a donut and a coffee cup.”

Attendance Policy: Regular attendance is expected. You are responsible for everything done in class, through your attendance and sharing class notes with classmates. If you miss class, you are likely to miss important information that will affect your grade. At times, this course may be frustrating and confusing, but the process of helping each other overcome the momentary difficulties can make the course very rewarding. Part of attending class should be an after-class follow-up session of compiling new definitions, theorems and canonical examples. These will be checked periodically.

Equipment: We will not use computers. We will use our brains extensively.

Academic Integrity: The college policy is fully supported. Tests are closed notes, closed book. Homework assignments may be discussed in class, and you are always encouraged to ask me for help. Otherwise, homework is to be your own work.

Study Problems: Problems will be assigned at the end of each section of the book. You are expected to attempt every problem before the next class and ask questions in office hours about those you do not understand. Study problems will indicate what you are responsible for on tests.

Homework: Homework problems to be turned in will be assigned throughout the term. You are to write these problems up as if you were preparing lecture notes for class. One interesting aspect of theoretical math is that although the definitions are precise and unchanging, there are a variety of ways to understand and explain a given concept.

Tests: There will be two tests and a final exam. Each test will cover all material discussed since the previous test. Anticipated test dates are (F) 2/24 and (W) 4/12. The exam is Wednesday, April 26, 8:30-11:30.

Make-ups: In case of sickness or scheduling conflicts, get in touch with me ASAP.

Grading: The homework grades will count two test grades. The final exam counts one test grade. Each test counts 20%. Grades may be curved up based on consideration of one unusually low test score or other extenuating circumstance.

A : 93-100 A-: 90-92 B+: 87-89 B:83-86

B-: 80-82 C+: 77-79 C : 73-76 C-: 70-72

D+: 67-69 D: 63-66 D-: 60-62 F: below 60