MATH 250b

CALCULUS AND DIFFERENTIAL EQUATIONS I

Spring Semester 2008, Section 2, Professor J. M. Cushing

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READING & HOMEWORK ASSIGNMENTS

SEMESTER STATISTICS  FOR  HOMEWORK
Mean
Median Maximum Minimum St. Dev.
79.3 %
85 %
96.9 %
54.1 %
13.9 %

16.  Week of April  29
READ:  Chapter 8.3-8.4
Test #2, Thursday, May 1
SUGGESTED HOMEWORK: 
    Chapter 8.4, Page 303:    Exercises:  1, 3, 5
    Chapter 8.8, Page 329:    Exercises:  1, 3, 5
15.  Week of April  22
READ:  Chapter 5.4, 6.1, 8.1-8.3
SUGGESTED HOMEWORK: 
    Chapter 5.4, Page 212:    Exercises:  odd 1-25, 34
    Chapter 6.1, Page 233:    Exercises:  1, 3, 9(for 1 and 3), 12, 14, 30. 32
    Chapter 6.5, Page 256:    Exercises:  odd 17-27
    Chapter 8.3, Page 298:    Exercises:  odd 1, 3, 5, 8

14.  Week of April  15
READ:  Chapter 5.3, 5.4, E5-E12
HOMEWORK #10:  Due in class on Thursday, April 24
    Chapter 5.3, Page 195:    Exercises:  2, 4, 6, 13, 15
    Chapter 5.4, Page 212:    Exercises:  2, 4, 6, 8, 18, 22, 32, 35
    Chapter 5.8, Page E-19:  Exercises:   8, 14
SUGGESTED HOMEWORK: 
    Chapter 5.3, Page 195:    Exercises:  odd 1-9, 14
    Chapter 5.4, Page 212:    Exercises:  odd 1-25, 34
    Chapter 5.8, Page E-19:  Exercises:  7, 13
13.  Week of April  7
READ:  Chapter 4.3 - 4.4, 5.1 - 5.2
HOMEWORK #9:  Due in class on Thursday, April 17
    Chapter 5.1, Page 180:    Exercises:  6-10
    Chapter 5.2, Page 191:    Exercises:  2, 4, 10
    Chapter 5.6, Page 218:    Exercises:  2, 4, 10, 22
    Chapter 5.7, Page 225:    Exercises:  22-25 (note: change 0.02y to 0.2y in the compartmental modeling diagram)
SUGGESTED HOMEWORK: 
    Chapter 5.1, Page 180:    Exercises:  1-5
    Chapter 5.2, Page 191:    Exercises:  odd numbered from 1-15
    Chapter 5.6, Page 218:    Exercises:  odd numbered from 1-15
    Chapter 5.7, Page 225:    Exercises:  odd numbered from 1-11, 17-21
12.  Week of March 31
READ:  Chapter 4.2
HOMEWORK #8:  Due in class on Thursday, April 10
    Chapter 4.2.1, Page 147:    Exercises:  5
    Chapter 4.2.2, Page 153:    Exercises:  6, 7(b,d,f), 14
    Chapter 4.3, Page 164:      Exercises:  4-6, 16
    Chapter 4.5, Page 174:      Exercise:   34, 48, 51(b), 55
SUGGESTED HOMEWORK: 
    Chapter 4.2.1, Page 147:    Exercises:  6
    Chapter 4.2.2, Page 153:    Exercises:  5, 7(a,c,d), 11, 13
    Chapter 4.3, Page 164:      Exercises:  1-3, 15
    Chapter 4.5, Page 174:      Exercise:  28, 47, 49, 51(a), 52, 54
11.  Week of March 24
READ:  Introduction: Preliminaries (pp 1-8), Chapter 4.1
HOMEWORK #7:  Due in class on Thursday, April 3
    Introduction: Preliminaries, Page 8:    Exercises:  47, 49, 58, 60, 69, 71, 91, 93, 108, 110
    Chapter 4.1, Page 142:                     Exercises:  15, 23
SUGGESTED HOMEWORK: 
    Introduction: Preliminaries, Page 8:    Exercises:  48, 50, 57, 59, 68, 70, 90, 92, 107, 109
    Chapter 4.1, Page 142:                     Exercises:  14, 16, 20, 24 

10.  Week of March 17
SPRING BREAK
9.  Week of March 10
Test #1, Tuesday, March 11
Thursday, March 13:  Applications and review of Least Squares method.
8.  Week of March 3
READ: Chapter 3.2
HOMEWORK :  None due on Thursday, March 13

SUGGESTED HOMEWORK: 
    Chapter summaries and exercises for Chapters 1, 2 and 3.
7.  Week of February 25
READ: Chapter 3.1.4
HOMEWORK #6:  Due in class on Thursday, March 6
    Chapter 3.1.4, Page 101:     Exercises:  6, 8, 12, 20 (draw a bifurcation diagram), 22 (draw a bifurcation diagram), 24 (draw a bifurcation diagram), 30 (draw a bifurcation diagram), 39
    Chapter 3.2,   Page 111:      Exercises:  4, 6, 10, 12, 21, 23, 31, 33
    Chapter 3.5,   Page 133:      Exercises:  31, 35, 38, 40
SUGGESTED HOMEWORK: 
    Chapter 3.1.4, Page 101:     Exercises:  odd 1-35, 40
    Chapter 3.2,   Page 111:      Exercises:  odd 1-13, even 20-34
    Chapter 3.5,   Page 133:      Exercises:  30, 32, 34, odd 37-43
6.  Week of February 18
READ: Chapter 3.1.2-3.1.3
HOMEWORK #5:  Due in class on Thursday, February 28
    Chapter 3.1.2, Page 89:      Exercises:  6, 8, 10, 16, 24
    Chapter 3.1.3, Page 91:      Exercises:  6, 8, 10
    Chapter 3.5,  Page 133:      Exercises: 19, 21
SUGGESTED HOMEWORK: 
    Chapter 3.1.2, Page 89:      Exercises:  5, 7, 9, 11, 15, 17, 25
    Chapter 3.1.3, Page 91:      Exercises:  3, 8
    Chapter 3.5,  Page 133:      Exercises: 3, 5, 7, 9
5.  Week of February 11
READ: Chapter 2.4-2.5, Chapter 3.1.1-3.1.2
HOMEWORK #4:  Due in class on Thursday, February 21
    Chapter 3.1.1, Page 81:      Exercises:  3, 5, 7, 9 (use a geometric argument), 11, 13, 15
    Chapter 3.1.2, Page 89:      Exercises:  2, 4
    Chapter 3.5,  Page 133:      Exercises:  2
SUGGESTED HOMEWORK: 
    Chapter 3.1.1, Page 81:      Exercises:  even numbered 2-16
    Chapter 3.1.2, Page 89:      Exercises:  1, 3
    Chapter 3.5,  Page 133:      Exercises:  1
4.  Week of February 4
READ: Chapter 2 (skip 2.3)
HOMEWORK #3:  Due in class on Thursday, February 14
    Introduction, Page 17:   Exercise 13. Consider the following question: "In the long run, how much salt is there (or equivalently what is the concentration of salt) in the tank?". Answer this question: (a) intuitively, (b) using a computer to draw the graph of the solution to the initial value problem, and (c) by using a formula for the solution.
    Chapter 2, Page 53:      Exercises:  even numbered 1-16, 27, 33, 37 (what if a=0?), 41, 43, 45 (what if b=0?), 52, 58, 66
    Chapter 2, Page 69:      Exercises:  4, 6, 8, 17
SUGGESTED HOMEWORK: 
    Chapter 2, Page 53:      Exercises:  odd numbered 1-16, 28, 32, 38, 40, 44, 51, 53, 55, 65
    Chapter 2, Page 69:      Exercises:  3, 5, 7
    Chapter 2, Page 70:      Exercises:  odd numbered 1-17, odd 31-35
3.  Week of January 28
READ: Introduction 1.1, Chapter 1
HOMEWORK #2:  Due in class on Thursday, February 7 
    Chapter 1, Page 25:   Exercises 10, 16, 21
    Chapter 1, Page 30:   Exercises 2, 6, 14, 16
    Chapter 1, Page 39:   Exercises 6, 16-18
SUGGESTED HOMEWORK: 
    Chapter 1, Page 25:   Exercises 9, 11, 13, 18, 25
    Chapter 1, Page 20:   Exercises 1, 5, 11, 13, 17
    Chapter 1, Page 39:   Exercises 7, 8, 11, 12, 13
2.  Week of January 21
READ: Introduction 1.2
SUGGESTED HOMEWORK: 
    Introduction, Page 16:   Exercises 10, 12, 19
1.  Week of January 14
READ: Introduction 1.2
HOMEWORK #1:  Due in class on Tuesday, January 29
    Introduction, Page 16:    Exercises 2, 4, 6
SUGGESTED HOMEWORK: 
    Introduction, Page 16:    Exercises 1, 3 (Hint: think about the amount of substrate when applying the balance law), 5, 9

STATISTICS  FOR  GRADED  HOMEWORK

Mean
(out of 10)
Median Maximum Minimum St. Dev.
HW #1 8.6
9.0
10.0
5.3
1.4
HW #2
8.2
8.2
9.8
7.1
0.8
HW #3
8.9
9.1
9.8
7.5
0.8
HW #4
9.0
9.2
9.9
6.4
1.0
HW #5
8.5
8.8
9.5
7.4
0.8
HW #6
7.1
6.9
9.9
3.9
1.9
HW #7
9.6
10.0
10.0
7.9
0.7
HW #8
7.4
8.1
9.4
4.3
1.8
HW #9
8.6
8.9
10.7
4.6
2.0
HW #10
7.3
6.9
10.0
4.9
1.7




J. M. Cushing  / Department of Mathematics  / Program in Applied Mathematics  / University of Arizona / Tucson, AZ, 85721-0089

(revised 15 May 2008)
Copyright © 2007