Syllabus

Instructor
Tyler Lawson
Vincent Hall 323
(612)625-6802
tlawson (at) math.umn.edu
Office Hours: Fridays 10:10-1:10
Objectives
This is the second half of a full-year course covering the basics of algebraic topology, smooth manifolds, and their interaction.
The main topics for the first semester are smooth manifolds, tangent spaces, vector fields and vector bundles, embeddings and immersions, Sard’s theorem, differential forms, integration, and de Rham cohomology.
Prerequisites
Knowledge of basic point-set topology and multivariate calculus will be essential for this course. Students should also have completed Math 8301 or equivalent.
Exams
There will be no exams.
Homework
The assigned problems for each week are due each Monday in-class at 1:25pm. The homework assignments are listed on this page.
Students must make arrangements in advance if they will not be handing in homework on time.
We encourage you to discuss homework problems and lab assignments with your classmates, including strategies for solving different kinds of problems. However, when you actually write up your solutions, you must do this on your own.
Textbooks
Textbook information can be found on the course webpage.
University policies
The student conduct code and statements on many other aspects of University policy can be found through this page.