This course is an introduction to the basic structures and concepts of smooth manifolds. Topics to be covered include: smooth manifolds, tangent and tensor bundles, vector and tensor fields, differential forms, integration on manifolds, Stokes theorem, deRham cohomology.
Instructor: Michael Anderson
Office: 4-110 Math Tower
Email: anderson at math.sunysb.edu
Web site: http://www.math.sunysb.edu/~anderson
Office hours: Tues/Thurs 1:30 - 3pm & by appointment in 4-110 Math Tower
Grader: Aleksander Doan
Email: aleksander.doan at stonybrook dot edu
Office: Math Tower 2-106
Office hours: Tu 9-10am in Math 2-105, , Tu 11:30-12:30 and 1:30-2:30 in MLC, Math S-240A.
Lectures: Tu/Th 11:30-12:50pm, Physics P122
Grading: Homework 50%, Midterm 20%, Final 30%
A Comprehensive Introduction to Differential Geometry, Vol I, 3rd Edition, by Michael Spivak
There will be weekly HW assignments, generally due in class on Tuesdays.
Check the course schedule below regularly for the assignments.
Thursday, March 10, 1-2:20pm, in lecture class
Wednesday, May 11, 5:30-8pm, in Physics P122 (usual lecture room).
The exam will be cumulative, covering topics for whole semester, but with an emphasis on material since the Midterm.
There are 6 problems on the exam.
Ch. 2: 9, 18, 19, 24, 27
Ch.2: 7, 25, 29, 32, 33a
Ch.3: 5, 7, 19, 20(a), 23(a)-(d), 24(a)-(d)
Ch.3: 12, 14, 15, 25, 26, 27
Ch.5: 11, 13, 17, 19
Ch.7: 5, 6, 8, 13, 17, 20
Correction: Spivak Ch.8 (not Ch.7) probs.
Ch. 8: 13, 14, 21, 22, 32(a).
Ch 8, Ch. 11
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