Lectures are on Monday and Wednesday, 10:0511:25 in Burnside 920 Alternate Time/Discussions are on Wednesday, 12pm, Burnside 1214 

Syllabus 

Final Exam: April 17, 9am12pm, in Burnside Hall 1205 You'll be allowed to use a onepage crib sheet. 

Lecture NotesScanned notes will be posted here as they become available. Numbering is logical, and does not necessarily agree with textbook. (J.Lee, Smooth Manifolds, 2nd Edition, available as ebook via McGill Library)Chapter 1 (Preliminaries) Chapter 2, §§ 2.12.2 (Differentiable manifolds: definitions, partition of unity) Chapter 2, § 2.3 (Differentiable manifolds: tangent space) Chapter 3 (Smooth maps, submersions, immersions, and embeddings) Chapter 4 (Submanifolds, boundaries, and corners) Chapter 5 (Tangent bundle, vector fields, and Sophus Lie) Chapter 6 (Vector bundles, tensor algebra, Lie derivative) Chapter 7 (Differential Forms and Integration, Stokes's Theorem) Chapter 8, §§ 8.18.4 (Riemannian manifolds: Metrics and Connections) Chapter 8, §§ 8.58.7 (Riemannian manifolds: Geodesics and Completeness) Chapter 9 (DeRham cohomology, MayerVietoris Theorem) 
Homework ProblemsRegistered students are asked to work on the complete problem set at home, and contribute their solutions during the discussion session. Please note that your final grade depends in part on your participation in the discussion sessions.Homework 1 to be discussed January 14 Homework 2 to be discussed January 21 Homework 3 to be discussed January 28 Homework 4 to be discussed February 11 Homework 5 to be discussed February 18 Solutions of Midterm Homework Homework 7 to be discussed March 11 Homework 8 to be discussed March 25 Homework 9 to be discussed April 1st 