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