Math 104 - Fall 2002

Homework Assignments


Homework #10 Due Thursday, December 12

Reading:

BC 5.7 (pp 302-303, 306-307)

Problems:

5.7 #1, 3, 5, 19, 20, 26

Homework #9 Due Wednesday, November 27

Reading:  BC pp.277-279 (don't bother with the bottom half of the page)

Problems:

5.2 #1,2,3,7,13, 25

Handout (on EReserve if you didn't get a copy in class)

10 cdefghi  (some of these answers can be "does not exist")

11 cde

Homework #8 Due Thursday, November 21

Reading:  BC 5.1, TOTC 14, 15 (For next historical interlude on Cauchy and Bolzano)

Problems:

5.1 #3, 4, 6, 8, 9, 18, 19, 23, 30, 31, 43

Homework #7 Due Thursday, November 14

Reading: BC 3.5, 3.6


Problems:
3.5 #4, 17
3.6 #1, 2, 6
Chapter 3 review (p. 194) #11

Also:  Write a short essay (1 to 2 pages) describing Isaac Newton's contributions to science and mathematics, based on your reading of the article by Gibberson.


Homework #6 Due Thursday, October 31 Noon (boo!)
BC  section 3.1 #3, 5 (you should hand in 3 separate graphs, one for each part, showing the rectangles that give an underestimate and overestimate of total change), #7, 8

BC section 3.2 #2, 15

BC section 3.3 #1, 2, 6


Homework #5, Due Monday, October 21

Read Part I of the "Warden of Time and Space" before class.  This is a biography of Isaac Newton.

Homework #4, Due Thursday, October 10 Noon

All problems come from BC -- there is no essay this week!.

2.2 #5 (here you want to look at average rates nearer and nearer to 2 with your calculator, to see what they approach), #8, #9 (for this problem, you want to label the given graph with lengths or slopes that represent each of the four quantities), #12

2.3 #5, 8, 11 (use your calculator, then look at the answers to guess a formula), 13, 14

2.4 #1, 3, 5, 7, 9

2.5 #1, 3, 4, 13, 14


Homework #3 (Due Thursday, Sept 26 Noon)

BC 1.5 #6, 9, 18

BC Chap 1 Review (p. 60) #9 (part a) is revenue as a function of advertising expeditures),  13 (make one sketch that satisfies all 5 properties -- the last property means that the value of the function gets close to 5 as x gets large), 14

BC 2.1 #5, 7, 8, 10, 14

Plus Essay Question: (Please hand in separately)

Write a one- to two-page essay, giving real world examples of each of the 4 kinds of behavior
(increasing concave up, increasing concave down, decreasing concave up and decreasing concave down). For full credit, your essay will need pictures with graphs of each of these different types, and the axes must be clearly labeled (eg hours, feet, ice cream cones, etc).  These can be made up, but should correspond to real-word situations -- that is, you don't have to research anything to find actual graphs, but could be like the graph shown in class of AIDS cases as a function of time.  Be sure to explain why each of your examples makes sense -- what about the specifics of the quantity you're graphing makes it behave that way? Your essay should be written so that someone who wasn't familiar with the concepts could learn them!


Homework #2 (Due Weds, Sept 18, in Hilles 207)


Homework #1 (Due Weds, Sept 11, in Hilles 207) :