A thematically appropriate picture will appear shortly. For now, have some Taylor polynomials.

Math 501, Spring 2020

The main online resource for this course is Canvas, where handouts and homeworks are posted. Here you can find the syllabus and calendar. If a date is in the future then the topics are tentative. If the date is a week or more in the past then I probably have updated the calendar with what we actually covered on that date.

Date	Reference	Topics
T 1/14	Lee SM Ch. 9	Integral curves and flows
Th 1/16	Lee SM Ch. 9, 12, 14	Lie derivatives
T 1/21	Lee SM Ch. 9	Integral curves and flows
Th 1/23	Lee SM Ch. 9, 19	Integral curves and flows, Distributions and foliations
T 1/28	Lee SM Ch. 19	Distributions
Th 1/30	Lee SM Ch. 19	Distributions
T 2/4	Lee SM Ch. 19	Foliations and contact structures
Th 2/6	Lee SM Ch. 7	Lie groups
T 2/11	Lee SM Ch. 7	Lie subgroups
T 2/18	Lee SM Ch. 7	Group actions and equivariant maps
Th 2/20	Lee SM Ch. 7	Orthogonal and unitary groups, semidirect products
T 2/25	Lee SM Ch. 8	Lie Algebras
Th 2/27	Lee RM Ch. 2	Riemannian metrics
T 3/3	Lee RM Ch. 2	Riemannian metrics
Th 3/5	Lee RM Ch. 3	Model Riemannian manifolds
T 3/10	Lee RM Ch. 3	Model Riemannian manifolds
Th 3/12	Lee RM Ch. 4	Connections, covariant derivatives
T 3/24		Intro to symplectic geometry
Th 3/26	Lee RM Ch. 4	Geodesics, parallel transport
T 3/31	Lee RM Ch. 5	Levi-Civita connections
Th 4/2	Lee RM Ch. 5	The Riemannian exponential map
T 4/7		Student presentations
Th 4/9	TBA
T 4/14	Lee RM Ch. 6	Geodesics and distance
Th 4/16	Lee RM Ch. 7	Curvature
T 4/21	Lee RM Ch. 7	Curvature
Th 4/23		Student presentations