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 JTB 120
Office Hours: 11:45-12:45 M, W, F, in LCB 224 (tent.)
E-mail: treiberg@math.utah.edu
Prerequisites: Prerequisites: "C" or better in MATH 4510 AND MATH 5520 or consent of instructor.
Main Texts: Math 6510 Notes by Kevin Wortman
http://www.math.utah.edu/~wortman/6510.pdf
Introduction to Smooth Manifolds, 2nd. ed., by John M. Lee, Springer, 2013.
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 and Jack Lee's text. We shall discuss as many applications as we can.

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Math 6510 - 1 Fall 2018

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.

ADA

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Note

The syllabus is not a binding legal contract. It may be modified by the instructor when the student is given reasonable notice of the modification. Last updated: 8 - 8 - 19