W, Jan 19	Preface	lecture	Tychonoff's theorem
F, Jan 21		* * *	* * * snow * * *
M, Jan 24	1. Smooth manifolds	Dan Kelleher	Topological manifolds, Topological properties of manifolds
W, Jan 26		Alex Baldenko	Smooth structures, Examples of smooth manifolds, Manifolds with boundary
F, Jan 28	2. Smooth maps	John Haga	Smooth functions and smooth maps, (Lie groups)
M, Jan 31		lecture	Jan31.pdf notes
W, Feb 2		* * *	* * * snow * * *
F, Feb 4	3. Tangent Vectors	Stephanie Kimball	Geometric tangent vectors, Tangent vectors on a manifold
M, Feb 7		lecture	Partitions of unity, Push forward, Other spaces?
W, Feb 9		Jacob Suggs	Computations in coordinates, Tangent vectors to curves
F, Feb 11	4. Vector Fields	Mingfeng Zhao	The tangent bundle, Vector fields on manifolds
M, Feb 14		lecture	derivations and tangent bundles in examples
W, Feb 16	5. Vector Bundles	lecture	vector bundles, local and global sections, bundle maps, categories and functors
F, Feb 18	6. The Cotangent Bundle	Ricky Martin
M, Feb 21		lecture
W, Feb 23	7. Submersions, Immersions, and Embeddings	Dan Kelleher
F, Feb 25		lecture
M, Feb 28	8. Submanifolds	Alex Baldenko
W, Mar 2		lecture
F, Mar 4	10. Embedding and Approximation theorems	lecture
	Spring Break			HW
M, Mar 14	9. Lie Group Actions	John Haga
W, Mar 16		John Haga
F, Mar 18		lecture
M, Mar 21		lecture
W, Mar 23	11. Tensors	Stephanie Kimball
F, Mar 25		Stephanie Kimball
M, Mar 28		lecture		HW
W, Mar 30	12. Differential forms	Jacob Suggs
F, Apr 1		Jacob Suggs
M, Apr 4	13. Orientations	Mingfeng Zhao
W, Apr 7		Mingfeng Zhao
F, Apr 9	14. Integration on Manifolds	Ricky Martin
M, Apr 11		Ricky Martin		HW
W, Apr 13	15. De Rham Cohomology	Dan Kelleher
F, Apr 15		Dan Kelleher
M, Apr 18		Alex Baldenko
W, Apr 20		Alex Baldenko
F, Apr 22	16. The de Rahm Theorem	lecture		HW
M, Apr 25		lecture
W, Apr 27	18. Lie derivatives	John Haga
F, Apr 29