Course Title: Differentiable Manifolds
Course Number: MATH 6510 - 1
Instructor: Andrejs Treibergs
Home Page: http://www.math.utah.edu/~treiberg/M6510.html
Place & Time: M, W, F, 10:45 - 11:35 in LCB 333
Office Hours: 11:45-12:45 M, W, F, in JTB 120 (tent.)
E-mail: treiberg@math.utah.edu
Prerequisites: Prerequisites: "C" or better in MATH 4510 AND MATH 5520 or consent of instructor.
Main Text: Math 6510 Notes by Kevin Wortman
http://www.math.utah.edu/~wortman/6510.pdf
Additional Texts:List of supplementary materials used in the course.

In this first semester of a year long graduate course in topology, we shall focus on differentiable manifolds. The second semester, Math 6520 taught by M. Bestvina, will homotopy and homology theory. In this course, along with the Math 6520, we shall try to cover the syllabus for the qualifying exam in topology. Although some mathematical sophistication is required to take the course, and it moves at the blazing speed of a graduate course, I shall provide any backgroung materials needed by the class.

We shall follow Wortman's notes. We shall discuss as many applications as we can.

Home Pages of Previous Math 6510's

Math 6410 - 1 Fall 2016

Expected Learning Outcomes

At the end of the course the student is expected to master the theorems, methods and applications of the following topics:

Grading

The success of the student will be measured by graded daily homework. A student who earns 50% of the homework points will receive an A for the course. In addition, the student's performance will be reported to the Graduate Committee, which decides the continuation of financial support annually. Ultimately, the learning will also be measured by the Topology Qualifying Examination.

Last updated: 8 - 22 - 18