Syllabus for Math 637

Topology II

 Spring 2007

Section 600

Instructor: Volodymyr Nekrashevych

Office: Milner 223

Office hours: Tuesday and Thursday 2:00-3:00 PM or by appointment.

nekrash "at" math "dot" tamu "dot" edu

Home-page: http://www.math.tamu.edu/~nekrash

Telephone:  (979) 845 24 50

Class hours:

   MWF      3:55 - 5:10                 CE 223

MATH 637 web page: 

The web page of the course is http://www.math.tamu.edu/~nekrash/teaching/07A/MATH637.html.

It will contain lecture handouts and homework assignments.

Course Description.

Credit 3. This course is an introduction to Topology and is a continuation of MATH636. We will study Differential and Algebraic Topology. The topics include: manifolds; vector fields and tangent bundles; Sard's theorem; immersions and submersions; embedding theorems; the fundamental group and classification of covering spaces; Seifert-Van Kampen theorem; homology and cohomology theories and their axioms; CW-complexes and cellular homology; applications.

Prerequisite: MATH637 or approval of instructor.

Text.

Topology and Geometry, by Glen E. Bredon, Graduate Texts in Mathematics 139, Springer- Verlag.

Grading.

 Your grade will be determined by two exams, a cumulative final exam, and homeworks. The weights of each of these are as follows.


Exam I Exam II Final Exam Homework
Total
250 pt
250 pt
300 pt
200 pt
1000 pt
Feb 22
Mar 29
May 8
weakly


I may curve any grade and will then compute the course grade by the following rule: A for at least 900 points, B for at least 800 points, C for at least 700 points, D for at least 600 points and F for less than 600 points.

Make-up policy:  Make up exams will be offered only in case of serious and well documented medical or family problems, religious holidays, or participation in university authorized activities. Please refer to the

Texas A&M University Student Rules on attendance

for more precise information. In particular, note the Rule 7.5 which states that if the student is seeking an excused absence, the student must notify the instructor as soon as possible after the absence, but no later than the end of the second working day after the last date of absence. If the absence occurs the same day as a scheduled exam or other graded procedure, the student must notify his/her instructor or department by the end of the next working day after the absence in order to ensure full rights. The student is responsible for providing satisfactory evidence to the instructor within one week of his or her absence return to substantiate the reason for absence.

Late Homeworks will not be accepted.

Scholastic dishonesty: Copying work done by others, either in-class or out of class, is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. Collaboration on assignments, either in-class or out-of-class, is forbidden unless permission to do so is granted by your instructor. For more information on university policies regarding scholastic dishonesty, see University Student Rules.

Remember the Aggie Code of Honor: "An Aggie does not lie, cheat, or steal or tolerate those who do."

Copyright policy: All printed materials disseminated in class or on the web are protected by Copyright laws. One xerox copy (or download from the web) is allowed for personal use. Multiple copies or sale of any of these materials is strictly prohibited.

Americans with Disabilities Act (ADA) Policy Statement: The following ADA Policy Statement (part of the Policy on Individual Disabling Conditions) was submitted to the University Curriculum Committee by the Department of Student Life. The policy statement was forwarded to the Faculty Senate for information.

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the Department of Student Life, Disability Services Office, in Room B116 of Cain Hall or call 862-4570.