Professor: Ko Honda

Office: Math Sciences 7901
Schedule:

Class: MWF 22:50pm

Discussion: Thursday 22:50pm (Pacific)
My Office Hours (tentative)

Location: Zoom

Tuesday 45pm

Thursday 34pm
This is the first class in the graduate Geometry and Topology Qualifying Exam sequence.
The class generally covers:
 Differentiable manifolds and smooth maps
 Vector bundles, like the tangent and cotangent bundles
 Differential forms
 Integration of differential forms, including Stokes’ theorem and de Rham cohomology
 Vector fields, distributions, and Frobenius’ theorem.
The main references for this course as I understand them are the following:
 For review of multivariable calculus, chapters 13 of Michael Spivak’s Calculus on Manifolds.
 The main reference should be John Lee’s
Introduction to Smooth Manifolds.
If you are on the UCLA network, you should be able to download a free pdf copy of the book,
since UCLA has a SpringerLink subscription. If you are not at UCLA right now, you can still
access the UCLA network by
using a VPN.
 Professor Honda’s course notes, which can be accessed from
his website.
Zoom links can be found on the CCLE in the Discussion Links & Materials section
Handouts