Spring 2016
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%
Course Text:
A Comprehensive Introduction to Differential Geometry, Vol I, 3rd Edition, by
Michael Spivak
Homework:
There will be weekly HW assignments, generally due in class on
Tuesdays.
Check the course schedule below regularly for the assignments.
Midterm:
Thursday, March 10, 1-2:20pm, in lecture class
Final Exam:
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.
Week of
Chapter
Problems/Assignments
Due Date
Jan 25
Ch. 2
Ch. 2: 9, 18, 19, 24, 27
Feb 2
Feb 1
Ch. 2
Ch.2: 7, 25, 29, 32, 33a
Feb 9
Feb 8
Ch.3
Ch.3: 5, 7, 19, 20(a), 23(a)-(d), 24(a)-(d)
Feb 16
Feb 15
Ch.3
Ch.3: 12, 14, 15, 25, 26, 27
Feb 23
Feb 22
Ch. 4
March 1
Feb 29
Ch.4/5
March 8
Mar 21
Ch.5
Ch.5: 11, 13, 17, 19
March 29
Mar 28
Ch.7
Ch.7: 5, 6, 8, 13, 17, 20
Apr 5
Apr 4
Ch. 7
Apr 12
Apr 11
Ch. 7/8
Correction: Spivak Ch.8 (not Ch.7) probs.
Apr 19
Apr 18
Ch.8
Ch. 8: 13, 14, 21, 22, 32(a).
Apr 26
Apr 25
Ch 8, Ch. 11
May 3
Americans with Disabilities Act: If you have a physical, psychological, medical, or learning disability
that may impact on your ability to carry out assigned course work,
please contact Disability Support Services at (631) 632-6748
DSS
. DSS office: EEC (Educational Communications Center) Building, Room 128.
DSS will review your concerns and determine,
with you, what accommodations, if any, are necessary and appropriate. All
information and documentation is confidential.
Arrangements should be made early in the semester so that your needs
can be accommodated.
Students who require assistance during emergency evacuation are encouraged to discuss
their needs with their professors and DSS. For procedures and information go to the DSS website above.
Academic Integrity: Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another persons work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website here.
Critical Incident Management: Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits the students' ability to learn. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Handbook and the Faculty-Employee Handbook.
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%
Course Text:
A Comprehensive Introduction to Differential Geometry, Vol I, 3rd Edition, by
Michael Spivak
Homework:
A Comprehensive Introduction to Differential Geometry, Vol I, 3rd Edition, by Michael Spivak
Homework:
There will be weekly HW assignments, generally due in class on
Tuesdays.
Check the course schedule below regularly for the assignments.
Midterm:
Thursday, March 10, 1-2:20pm, in lecture class
Final Exam:
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.
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.
|
Week of |
Chapter |
Problems/Assignments |
Due Date |
|---|---|---|---|
|
Jan 25 |
Ch. 2 |
Ch. 2: 9, 18, 19, 24, 27 |
Feb 2 |
|
Feb 1 |
Ch. 2 |
Ch.2: 7, 25, 29, 32, 33a |
Feb 9 |
|
Feb 8 |
Ch.3 |
Ch.3: 5, 7, 19, 20(a), 23(a)-(d), 24(a)-(d) |
Feb 16 |
|
Feb 15 |
Ch.3 |
Ch.3: 12, 14, 15, 25, 26, 27 |
Feb 23 |
|
Feb 22 |
Ch. 4 |
March 1 |
|
|
Feb 29 |
Ch.4/5 |
March 8 |
|
|
Mar 21 |
Ch.5 |
Ch.5: 11, 13, 17, 19 |
March 29 |
|
Mar 28 |
Ch.7 |
Ch.7: 5, 6, 8, 13, 17, 20 |
Apr 5 |
|
Apr 4 |
Ch. 7 |
Apr 12 |
|
|
Apr 11 |
Ch. 7/8 |
Correction: Spivak Ch.8 (not Ch.7) probs. |
Apr 19 |
|
Apr 18 |
Ch.8 |
Ch. 8: 13, 14, 21, 22, 32(a). |
Apr 26 |
|
Apr 25 |
Ch 8, Ch. 11 |
May 3 |
Americans with Disabilities Act: If you have a physical, psychological, medical, or learning disability that may impact on your ability to carry out assigned course work, please contact Disability Support Services at (631) 632-6748 DSS . DSS office: EEC (Educational Communications Center) Building, Room 128. DSS will review your concerns and determine, with you, what accommodations, if any, are necessary and appropriate. All information and documentation is confidential. Arrangements should be made early in the semester so that your needs can be accommodated.
Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and DSS. For procedures and information go to the DSS website above.
Academic Integrity: Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another persons work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website here.
Critical Incident Management: Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits the students' ability to learn. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Handbook and the Faculty-Employee Handbook.