MATH 142- FALL 2004
COURSE LOG AND HOMEWORK
8/18 course policies
5.1: approximation of areas
5.1 homework: 3, 6b, 11, 15, 22
8/19 5.1 cont'd-area, position
8/20 QUIZ
1 (5.1)
5.2: definite integral: definition, properties
5.2 homework: 3, 7, 9, 12, 35, 36, 47, 48, 49
8/23 5.3: computation of
definite
integrals
5.3 homework: 9-34 (all; practice is important in this business)
45 to 48; 51 to 56; 60
8/25 problems from 5.3
8/26 QUIZ
2 (5.2, 5.3)
5.4: fundamental theorem of calculus
5.4 homework: 2,3,10,11,14,16,19,23,24,25
8/27 problems from 5.4
substitution method (change of variable)-intro
5.5 homework: 7-32 (all !) 37-52 (just the hard ones), 55, 56,
61,
64
[the most important problems are those you don't immediately see how to
do]
8/30 problems from 5.5
9/1
integration
by parts; examples ( 4- 20 even)
5.6 homework: 3-24 (all), 25, 27, 37, 38
9/2 QUIZ
3(5.4, 5.5)
problems from 5.6
9/3
techniques
of integration I (three rational families)
5. 7 homework: 1-6, 9, 10, 11, 13, 14,17-22, 29, 30
9/6
Labor
Day
9/8
techniques
of integration II (partial fractions- appendix G)
9/9
QUIZ 4 (5.6, 5.7) version
A version
B
section 5.10- improper integrals (intro)
9/10 improper integrals
comparison and "limit comparison" tests
5.10 problems: 25-32, 43-46, 47, 48, 54, 56, 59, 61
CHAPTER 5 REVIEW PROBLEMS (p. 439): 3, 8, 20-34, 39-42, 55-61,
63, 69, 70
9/13 problems
from 5.10 (improper integrals)
9/15
improper integrals/ ch. 5 review
9/16
chapter 5 review
9/17
EXAM
1 (PDF file- questions and answers)
9/20
6.1 areas of general regions
discussion of exam 1- solutions
6.1 homework: 8, 13, 14, 15, 22, 24, 28, 29, 33, 41
9/
22
6.2- volumes
9/23
QUIZ
5
6.2- examples
6.2 homework: 3, 6, 8, 10, 22,
23, 24, 30, 31, 34, 35,
42
(in italics: discussed in class)
9/24
volumes- examples
arc length- intro
9/27
arc length, average value
6.3 homework: 5-10, 17-20, 24
6.4 homework: 5, 6, 9, 11, 14, 17,
18
9/29 6.5:
work
6.5 homework: 7-12,
14
9/30 QUIZ 6
6.5: hydrostatic pressure
6.5 homework: 19-21, 24
10/1 6.5:
center of mass
6.5 homework: 27-32,
33, 34
10/4
solution of quizzes 5 and 6
review problems from 6.5: 17, 18, 23
10/6
Review problems (ch.6): 3, 7, 11, 19, 21, 24
10/7
no class
10/8
Exam 2: ch. 6 (sections 6.1-6.5)
10/11
8.1 sequences
homework: 17, 19, 21, 23, 25, 35, 38, 44, 45, 50
10/13
sequences-examples
discussion of exam 2
10/14, 10/15 FALL BREAK (no class)
10/18
8.2/8.3 infinite series, integral test
8.2 homework: 15, 19, 20, 22, 23, 31, 36, 51
10/20
8.3 integral test; comparison and limit comparison
8.3 homework: 13-23 (odd), 25, 27, 29
10/21
QUIZ 7 (sections 8.1, 8.2)
8.4: alternating series, absolute convergence
8.4 homework: 9, 11, 13, 21, 23, 25, 26, 29, 32, 33
10/22
ratio test, root test, Stirling's formula
review list: convergence of series (20 problems)
10/25
power series; representation of rational functions
8.5 homework: 9, 11, 13, 15, 17, 25, 25, 27, 28
10/27
integration and differentiation of power series
8.6 homework: 5, 8, 10, 11, 13, 15, 21, 23, 25, 27, 36
10/28
QUIZ 8: 8.3, 8.4 (inc. handout), 8.5
examples from 8.6
10/29
Taylor series
11/1
Taylor & McLaurin series
8.7 homework: 3, 13, 15, 16, 17-23 (odd), 24, 29, 30, 39, 40, 54
11/3
Examples from 8.7; binomial series
11/4
QUIZ 9: 8.6, 8.7
8.8 homework: 1, 2, 4, 5, 9
solution of quizzes 7, 8, 9
11/5
Chapter 8 review
review problems (p. 641): 13, 14, 17, 20, 22, 23, 42, 43, 47, 50
11/8
Exam 3: sections 8.1 to 8.8
11/10
Discussion of exam 3
Examples from 8.9
11/11
Numerical integration (5.9): midpoint, trapezoidal, Simpson; error
bounds
Homework problems: 5, 9, 13, 25, 27, 29, 30, 32, 34