MATH 153 Calculus (Spring 2004)

# MATH 153: Calculus for Math Students I

• Announcements.
• Answers or hints to the Final Exam questions:
1.c. Since f' is not continuous at x=0, f'' does not exist at x=0.
2.a. ln 154-ln 153
b. g''(o)/2
c. 6, 3, 1789.
3. alpha should be 2.
4.a. Apply IVT to show the existence of a solution.
b. Apply Rolle's Theorem to show the uniqueness. (A very similar question was on the last quiz!)
5. Apply IVT.
6.a. Apply MVT to ln x on [a,b].
b. Take b=6 and a=5.
7.a. False, take f(x)=-x.
b. True.
c. False.
d. False.
e. False.
f. True, use the chain rule.
8. Draw a traingle.
• The final exam is on 12 June 2004 Saturday at 10:30 in M-205. Please note the change in date.
• The second midterm is on 25 May 2004 Tuesday at 17:40 in M-05. (Contents: Everything we covered about differentiation; except related rates, IVT, Rolle's Theorem and MVT.)
• We will do an extra class on 4 May Tuesday between 10:40-11:30 (M-04) and between 12:40-13:30 (M-05), so that we can cancel our class during the Spring Festival (12 May Wed 15:40).
• The Winter issue of Matematik D�nyas� is out now.
• Books. The textbook is "Calculus, Concepts and Computers" by Ed Dubinsky, Keith E. Schwingendorf, and David M. Mathews, second edition, McGraw-Hill, 1996. You can buy a copy of the book at Z-23.
"Calculus with Analytic Geometry" by Richard Silverman (Prentice-Hall) can be used as a reference book.
• Diskettes. You can obtain a diskette with ISETL and DERIVE from Beste G��ler at Z-46. It is recommended that you have 2 diskettes. You are required to return your activities on the diskette and exercises on paper.

HOMEWORK QUESTIONS

COURSE PLAN