MATH 505: Differentiable Manifolds

Textbook

Course information

Instructor:   Ibrahim Unal
Classes:   Mon 15:40-17:00 in M-105, Wed 15:40-17:00 in M-103
Office-Hours:   Wed 08:40-10:30
Textbook   John M. Lee "Introduction to Smooth Manifolds" 2. Ed.

Course Content

Differentiable manifolds, smooth mappings, tangent, cotangent bundles, differential of a map, submanifolds, immersions, imbeddings, vector fields, tensor fields, differential forms, orientation on manifolds, integration on manifolds, Stoke's theorem.

Grading

Homeworks   40%
Midterm   30%   April 22, 2019 in Class
Midterm   40%   May 31, 2019 at 09:00 in M-231

Homeworks

Homework 1Homework 2Homework 3Homework 4Homework 5