Math 121A Differential Geometry Winter 2008
Homework is due at the beginning of class on Fridays.
Due January 23 (Wednesday, extended deadline): Section 1.2) 1, 3, 5. Section 1.3) 3, 5. Section 1.4) 2, 4, 9. Section 1.5) 1-4, 6a, 7, 9. Section 1.6) 1, 3-6.
Due January 25:
Section 1.7) 2-5, 8, 9. Section 2.1) 2, 5, 6-10.
Read all exercises in the section and review in a vector calculus book
any unfamiliar statements.
Due Wednesday, January 30: Section 2.2) 1, 2, 4, 5, 11. Section 2.3) 1, 2, 5 (use problem 4), 6.
Due Friday, February 8: Section 2.4) 1, 3-5, 7, 9. Section 2.5) 1-4. Section 2.7) 1, 2, 4, 5. Read all exercises in the section and review in a vector calculus book any unfamiliar statements.
Due Friday, February 15: Section 2.8) 1, 3. Section 3.1) 1-3, 6-8. Section 3.2) 1, 3.
Due Friday, February 22: Section 3.3) 1, 2. Section 3.4) 1, 3, 5. Section 3.5) 1, 3, 6. Section 4.1) 3-6, 8-10.
Due Friday, 29: Section 4.2) 1, 2, 4-6, 10. Section 4.3) 1, 4, 5, 7, 10.
Due not later than Friday, March 14: Section 4.4) 1, 3, 4, 6. Section 4.5) 1-5, 10, 12. Section 5.1) 1-6, 9.
Due not later than Friday, March 21; you must let me know by 11:00AM Tuesday if you'll be submitting the homework after Tuesday (I don't want to hold off on working up the grades if nothing more is coming in). Drop off your assignment in my mailbox or at my office. Section 5.2) 1, 2. Section 5.3) 1-4.
Specifications and recommendations
Late homework will be discounted and, at the discretion of the grader
and/or the instructor, may not be accepted.
Your homework should be neatly written and well-organized, with the pages
securely fastened together and your name on every page. Many of the exercises
involve several nontrivial steps; make it clear to your readers (and yourself!)
what it is you're doing at each step.
Clearly number the exercises and try to submit them in numerical order;
if any problems are out of sequence, indicate that at the beginning of
the assignment. (You don't need to solve them in order, just submit them
in order.)
The grader should not have to hunt through several pages to find a particular
problem.
Computer use
You may use symbolic computation packages (e.g. Maple or
Mathematica to carry out the routine
calculations in the homework; please check with the instructor if
you have any doubt as to what would be considered routine in a given context.
If you use such software, please write up the key steps
of your solutions by hand, indicating which parts were carried out by
computer and attaching a hardcopy of your computer work, or prepare an organized 'notebook'.
Computer difficulties do not justify late or
incomplete assignments.