Math 4433 Homework Assignments
Fall, 2009

Week 11:


Reading:
Monday 11/2 Wednesday 11/4 Friday 11/6
none none review p. 166-170
Homework: Chapter 6, #7, 23, 25 and the problems on this handout.
Due date: Wednesday, November 11
Announcements: The midterm exam will be on Wednesday, November 4. It will cover all of the material we covered in the book between Sections 3.4 and 6.2, plus the material from the lectures and homework assignments.
We skipped the following parts in the book: Prop 4.6, Thm 4.6 in Section 4.3; all of Section 4.4; Thm 4.9 and Ex. 4.14 in Section 4.5, all of Chapter 5, Def. 6.3, Thm. 6.3, Remark 6.3, and Cor. 6.1 in Section 6.2
We covered the following topics that were not in the book: The infinite version of the comparison test for infinite series, the Limit Comparison Test (3 parts, stated in the handout from Homework 8), the Squeeze theorem for function limits, the Limit Location Theorem and Function Location Theorem (from the handout in Homework 9), the definition of infinite limits for functions, and the infinite version of "comparison" for limits. We also modified the proofs of Prop. 6.3 and Prop. 6.4.

Week 12:


Reading:
Monday 11/9 Wednesday 11/11 Friday 11/13
170-175 p. 181-183 p. 183-189
Homework: (Same as listed above.) Chapter 6, #7, 23, 25 and the problems on this handout.
Due date: Wednesday, November 11
Announcements:
Challenge: The problems on this handout.

Week 13:


Reading:
Monday 11/16 Wednesday 11/18 Friday 11/20
p. 189-194 p. 194-199 p. 199-200
Homework: Ch. 7, #1, 14 and the problems on this handout. Don't forget your collaboration statements!
Due date: Extended to Friday, November 20
Announcements:

Week 14:


Reading:
Monday 11/23 Wednesday 11/25 Friday 11/27
none no class no class
Homework: Ch. 7, #11, 15, 20 and the problems on this handout.
Due date: Wednesday, December 2
Announcements: There will be no class on Wednesday or Friday this week for the Thanksgiving holiday.
Reminder: The final exam for this course will be on Monday, December 14 from 8:00 - 10:00 a.m.

Week 15:


Reading:
Monday 11/30 Wednesday 12/2 Friday 12/4
p. 205-211 p. 211-214 p. 214-216
Homework: (Same as above!) Ch. 7, #11, 15, 20 and the problems on this handout.
Due date: Wednesday, December 2
Announcements: The final exam for this course will be on Monday, December 14 from 8:00 - 10:00 a.m.

Week 16:


Reading:
Monday 12/7 Wednesday 12/9 Friday 12/11
p. 216-217 p. 217-219 none
Homework: (Last one!!) Ch. 8, #2, 8, 9 and the problems on this handout. For extra credit, you can do Ch 8, #3, 18, 30.
Due date: Friday, December 11
Announcements: The final exam for this course will be on Monday, December 14 from 8:00 - 10:00 a.m.
The final will cover all the material we have covered this semester, but will be more heavily weighted toward the topics covered since the last exam (Sections 6.3-8.2 plus the material from the lectures and homework assignments).
We skipped the following parts of sections 6.3-8.2: Thm 6.7, Prop 6.5, Cor. 6.4, Thm. 6.8, Thm. 7.7, the Lipschitz condition on p. 200, Lemma 8.2, Cor. 8.1, Thm. 8.5. Also, in Section 6.3, we often replaced "compact set" with "closed bounded interval".
We covered the following topics which are not in the book: The Intermediate Value Property (IVP) and the result that if f is strictly monotone on an interval I and has the IVP then f is continuous on I; the kinds of counterexamples we talked about on "crazy function day"; and the theorem from Monday that the function F(x) which is the definite integral of a function f from a to x is continuous.



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