Syllabus

Course Title: Current Problems in Topology, M124

Lectures: Kemeny Hall 201, MWF 12:30-1:35pm, x-period: Th 1:00-1:50

Instructor: Rustam Sadykov

Office: Kemeny, room 316

Phone: 603-646-2960

E-mail: Rustam.Sadykov at math dot dartmouth dot edu

Course description

It is an introductory course of topology and geometry on manifolds.

Textbook

Our primary textbook will be An introduction to differentiable manifolds and Riemannian geometry, revised second addition, by William M. Boothby.

Occasionally we will consider topics from other textbooks such as Differential topology, Graduate Text in Math. 33, by Morris W. Hirsch. In this case handouts will be distributed in class.

Grades

Homework: 30%

Takehome Midterm Exam: 30%

Takehome Final Exam: 40%

Homework

Homework will be assigned after each lecture. Homework problems assigned during a week must be submitted next week at the beginning of the class on Wednesday. Late homework will not be accepted. The lowest HW score for a week problem set will be dropped.

Exams

The MidTerm will be distributed on October 22th and will be due November 5th at the beginning of the class. The Final will be distributed on Dec 3 and will be due December 9th. You are free to use lecture notes, handouts and any textbooks.

Honors code

Collaboration and discussion of general ideas related to homework problems are allowed and encouraged. However you must write down all solutions by yourself in your own words; copying is obviously a violation of the honor code. If you work in group, the names of collaborators must be written on the solution sheet. As for exams, no collaboration is permitted.

Students with disabilities

Students with disabilities who will be taking this course and may need disability related classroom accommodations are encouraged to make an appointment to see their instructor as soon as possible. Also, they should stop by the Academic Skills Center in Collis Center to register for support services.

Religious observance

Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with me before the end of the second week of the term to discuss appropriate accommodations.