MAA 4212 Assigment 1
Due date: Fri. 1/18/02
Last update made by D. Groisser Thu Jan 10 15:16:51 EST 2002
Note to new students (and reminder to continuing students): On
every homework assignment, you are expected to work on ALL the problems
listed. In order for you to have time to write up the assignment, and
for me to grade it, I require you to turn in only a certain subset of
the assigned problems. Nonetheless I expect you to
seriously attempt ALL the problems, including the ones I don't ask you
to hand in, and will hold you responsible for the material in them.
Some portions of some of the problems below were discussed in class
last semester. In the problems on this assignment that involve
trigonmetric functions or their inverses, you may assume that these
functions have the derivatives you learned in Calc 1-2.
- A: pp. 108-110/ 1,2,4,5, 7,9, 10, 12. Hand in only 1ab, 2b,7,
10, 12. Note:
-
In problem 1, "Discuss the differentiability of the
function" means "state at which points the function is differentiable,
at which points it is not differentiable, and prove your answers".
Problem 1b was actually done in class last semester,
but I want you to write it out anyway.
- In problem 7, assume that f'(a) does not equal
f'(b); otherwise the assertion is
false. Regarding number 7, also hand in an answer this question: Why
can't you just apply the Intermediate Value Theorem to f'?
- B: Do and hand in the problems on the web handout
Exercises on the Mean Value Theorem.
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