Syllabus
- Instructor
-
Tyler Lawson
Vincent Hall 323
(612)625-6802
tlawson (at) math.umn.edu
Office Hours: Mondays 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, de Rham cohomology,
and (time permitting) Morse theory.
- 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 one final exam, worth 30% of the final grade.
- 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.
- Online resources
-
Homework grades, as well as forums for the course, are
available online through the course's
Moodle
site.
- 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.