Instructor: Igor Zelenko
Office: Milner 324
Office hours (subject to change): Tue 11:30 - 12:30, Thu 11:30-13:30 or by appointment
e-mail: zelenko"at"math.tamu.edu
Home-page: /~zelenko
Telephon (979) 845-5837.
Class hours: Math439 MW 4:10- 5:25 ZACH119D
Text:. Manfredo P. Do Carmo, Differential geometry of curves and sufaces, Prentice Hall, 1976
Course Description. We will closely follow
Chapters 1-4 of Do Carmo's book:
Curves, Regular Surfaces, The geometry of the
Gauss map, The intrinsic geometry of surfaces.
Prerequisite: Vector Calculus.
Grading. Your grade will be determined by weekly home assignments (30%) due on Wednesday of each week, by two mid-term exams (20% each) and cumulative final exam (30%). All exams will be take-home exams. The grade will be given according to the following percentage:
85%-100%=A,
75%-84%=B , 65%-74%=C, 55%-64%=D, less than 55%=F
Tentaive dates of exams:
Mid-term exam I: Mon 9/27, Take home,
due Wed 9/29 in class;
Mid-term exam II: Mon 11/01, Take home, due Wed 11/03 in class.
The sections covered on a test will be announced well before the test.
Complaints about test grades must be made within two weeks of when the test
is returned to the class. Beyond that time, the grade will not be changed.
Final exam: Wed 12/01, take home, due 12/13 by 5:30 p.m. in my office.
Tentative weekly schedule:
Week 1 (Aug 30, Sep 1): Sections 1.2, 1.3, 1.4
Week 2 (Sep 6, Sep 8): Section 1.5 (Frenet frames in R^2 and R^3)
Week 3 (Sep 13, Sep 15): Section 1.6 and Frenet frames in R^n
Week 4 (Sep 20, Sep 22): Sections 2.2 and 2.3
Week 5 (Sep 27, Sep 29): Sections 2.4 and 2.5
Week 6 (Oct 4, Oct 6): Sections 2.6 and 3.2
Week 7 (Oct 11, Oct 13): Section 3.2 (continued)
Week 8 (Oct 18, Oct 20): Section 3.3
Week 9 (Oct 25, Oct 27): Sections 4.2 and 4.3
Week 10 (Nov 1, Nov 3): Section 4.3 (continued)
Week 11 (Nov 8, Nov 10): Section 4.4
Week 12 (Nov 15, Nov 17): Sections 4.4 (continied) and 4.5
Week 13 (Nov 22): Section 4.5 (continued), Nov 24 the class is cancelled
due the Thanksgiving;
Week 14 (Nov 29, Dec 1): Section 4.5 continued and Review
If the time permits we also will touch some material from sections
3.5, 4.6
and/or 5.9
Home assignments: Will be posted Wednesdays and is due next Wednesday.
The homework that is not submitted
by the end of lecture on Wednesday is "late" and will suffer a 20%
penalty if graded. You have until end of the lecture on next Monday to
deliver the late homework. The homework that is not submitted by
the end of lecture on next Monday will not be graded (you will get 0
points for it).
Scholastic dishonesty: Copying work done by others, either in-class or out of class, is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. Collaboration on assignments, either in-class or out-of-class, is forbidden unless permission to do so is granted by your instructor. For more information on university policies regarding scholastic dishonesty, see University Student Rules .
Copyright policy: All printed materials disseminated in class or on the web are protected by Copyright laws. One xerox copy (or download from the web) is allowed for personal use. Multiple copies or sale of any of these materials is strictly prohibited.
Americans with Disabilities Act (ADA) Policy Statement.
The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides
comprehensive civil rights protection for persons with disabilities. Among other things, this legislation
requires that all students with disabilities be guaranteed a learning environment that provides for
reasonable accommodation of their disabilities. If you believe you have a disability requiring an
accommodation, please contact Disability Services, in Cain Hall, Room B118, or call 845-1637. For
additional information visit http://disability.tamu.edu.