DORDT COLLEGE MATH AND COMPUTER SCIENCE DEPARTMENT
DIFFERENTIAL EQUATIONS — MATH 204
(FALL 2007)

PROBLEM SETS

(Last update: 12/13/2007 2:33 Pm)
PS
#   		Assigned Due Returned Problems Assigned
(In Polking et al unless otherwise noted)
 

12/12  
 
  		  (No new assignment--study for final exam
  Monday, 12/17 3:30 PM - 5:30 PM)
39

12/10 12/12










12/12
at
5:00 PM












12/13# 		  Read 6.1
  Do p253 Sec 6.1 Ex 1, 2
  Do Ex 1 by hand. You may do Ex 2 by hand as
  specified in the problem statement or you may
  write (or use) a computer program. Excel,
  Matlab, or Mathcad are three possibilities.
  Do not use a function designed to solve
  differential equations. Instead set up the
  computer to do the various calculations of
  the specified (Euler's) method.
 
  On Wednesday, 12/12 there will be a box labeled
  "MATH 204 Homework" near Prof. De Boer's office
  door. Drop your homework in the box by 5 PM
  Wednesday, 12/12 for final grading.
 
  This problem set will be graded and ready for
  pickup by 5 PM Thursday, 12/13. Pick your
  homework up from Prof. De Boer's plastic bin
  near the engineering pod door.
38

12/07 12/10
12/12
12/13# 		  Review 4.5, Read 5.7, 5.8
  Do p172 Sec 4.5 Ex 21
  Do p241 Sec 5.7 Ex 4, 5
 
  Note errata on page 234.
 
  This problem set will be graded and ready for
  pickup by 5 PM Thursday, 12/13. Pick your
  homework up from Prof. De Boer's plastic bin
  near the engineering pod door.
37

12/05 12/07
12/10
12/13# 		  Read 5.6
  Do p232 Sec 5.6 Ex 1, 5, 10
36

12/03 12/05
12/07
12/10# 		  Review 5.3, Read 5.5
  Do p209 Sec 5.3 Ex 27
  Do p225 Sec 5.5 Ex 1, 3, 4, 6, 13, 14
35

11/30 12/03
12/05
12/07# 		  Read 5.4
  Do p214 Sec 5.4 Ex 1, 4
34

11/28 11/30
12/03
12/05# 		  Review 5.2, Read 5.3
  Do p202 Sec 5.2 Ex 20, 35
  p209 Sec 5.3 Ex 19
33

11/16 11/28
11/30
12/03# 		  Read 5.2
  Do p196 Sec 5.1, Ex 21, 22, 23, 24
  p197 Sec. 5.1, Ex 29
  p201 Sec 5.2, Ex 1, 2, 3, 4, 5, 6
  (Also study for test on Monday, 11/19)
32

11/14 11/16
11/28
11/30# 		  Review 5.1
  Do p196 Sec 5.1, Ex 3, 6
31

11/12 11/14
11/16
11/28# 		  Read 5.1 & Prof. De Boer's Notes on Transforms
  Do problems in Prof. De Boer's handout, 1, 2, 3
 
  Note errata on page 191 and following.
30

11/09 11/12
11/14
11/16# 		  Read 4.6
  Use the method of variation of parameters to
  do p177 Sec 4.6 Ex 3, 4
29

11/07 11/09
11/12
11/16# 		  Read 4.5
  Do p 172, Sec 4.5, Ex 19, 29
28

11/05 11/07
11/09
11/12# 		  Reveiw in section 4.3 up to "Repeated Roots" and
  Read 4.3 from heading "Repeated Roots" to
  end of section
  Do p156 sec 4.3 Ex 11, 17, 18, 35
27

11/02 11/05
11/07
11/09# 		  Reveiw in Sec. 4.3 as needed
  Do p156 sec 4.3 Ex 9, 10, 25, 27
26

10/31 11/02
11/05
11/07# 		  Read 4.2 from p152 heading "Complex Roots" to
  p154 heading "Repeated Roots"
 
  Do problems in Cunningham and Stuller,
  Ex 11 parts a and d only, 15, 17.
 
  Note: In class on Wed. 10/31 some problems in
  Polking et al were deleted from this
  assignment and moved to a later assignment.
25

10/29 10/31
11/02
11/05# 		  Read Textbook Appendix p595 – p598 and
  Prof. De Boer's Notes on Complex Numbers
 
  Do problems in Cunningham and Stuller,
  Ex. 2, 3, 4, 7 parts a and b only.
 
  Note: For Ex. 4 part b, find the answers by
  doing complex arithmetic and then compare the
  results to part a.
24

10/26 10/29
10/31
11/02# 		  Read 4.2 up to heading "Complex Roots," p152
  Do p156 Sec 4.3 Ex 1, 2, 4
23

10/24 10/26
10/29
10/31# 		  Read 4.2
  Do p149 Sec 4.2 Ex 1-6, (9 omit part i, 19),
  (16 omit part i, 22)
 
  PPlane is recommended for Ex 9, 19 and 16, 22.
 
  Note: Work Ex 9 and Ex 19 as one problem.
  Also work Ex 16 and Ex 22 as one problem.
  Prof. De Boer recommends that you copy and
  paste your graphs from PPlane into Word
  documents so that you can print all related
  graphs conveniently on one page. Here is an
  example for Ex 15, 21. Pressing
  (alt)-(Print Scrn) will copy the active window
  to the clipboard. Then place your cursor in
  MS-Word and press ctl-v to paste it in. Select
  the pasted graphic, then press alt-J-P-C keys
  (Word 2007) or find the picture editing toolbar
  and click on the "crop" button (looks like an 'L' crossed with an upside down 'L',
  works with Word 2003 or earlier.) Then drag the
  handles (little black squares) to crop the
  graphic as desired. Remember to adjust graph
  sizes on screen before copying so that they
  paste in at the right size. Adjusting the size
  within Word (after pasting) will blur the
  graphs since Word can't recalculate them.
22

10/22 10/24
10/26
  		  Review section 4.1
  Do p145 Sec 4.1 Ex 21, 23, 24
21

10/19 10/22
10/24
10/26# 		  Read 4.1 from Theorem 1.23 to section end.
  Do p145 Sec 4.1 Ex 9, 10
  Note: Be sure to define variables and
  consider units.
20

10/17 10/19
10/22
10/24# 		  Read 4.1 up to Theorem 1.23
  Do p145 Sec 4.1 Ex 1 through 8 and Ex 13
  Note errata in sentence above Ex 1
19

10/15 10/17
10/19
10/22# 		  Read 3.3 and Lecture notes on Chapter 3
  Do p126 Sec. 3.3 Ex 7, 8 and for each . . .
  a.) Assume continuous compounding and
  continuous payments. Solve using the D.E. model.
  b.) Assume monthly compunding and monthly
  payments. Solve using the TVM formula
  presented in class and in the lecture notes.
 
  Note: For full credit, answers to Ex 7 must be
  accurate to within $0.05 or five cents.
  answers to Ex 8 must be within $5.00.
18

10/12 10/15
10/17
10/19# 		  Reveiw 3.1, Read 3.2
  Do p116 Sec 3.1 Ex 16, p120 Sec 3.2 Ex 2
  Hint: Don't overlook the footnote, bottom of p119.
17

10/10 10/12
10/15
10/17# 		  Read 3.1
  Do p114 Sec 3.1 Ex 2, 11, 12
16

10/08 10/10
10/12
10/15# 		  Read 2.9
  Do p100 Sec 2.9 Ex 1, 2, 30
15

10/03 10/08
10/10
10/12# 		  Read 2.7, 2.8
  Do p86 Sec 2.7 Ex 7, 8, p91 Sec 2.8 Ex 1, 2, 3, 4.
  Use Dfield to do Ex 1, 2, 3, 4.
  Help with Dfield an be found here.
14

10/01 10/03
10/08
10/10# 		  Reveiw 2.6
  Do p75 Sec 2.6 Ex 33, 34, 36
 
  Note: This assignment was posted after
  class on 10/01.
 
  Hint: The answer to Ex 36 can only be found in
  an implicit form. An inverse tangent is part
  of the answer.
 
  A useful table of integrals can be found here.
13

9/26 10/01
10/03
10/08 		  Review 2.6
  Do p75 Sec 2.6, Ex 27, 35
  Note errata on answer to Ex 35
  (Also study for the test on Friday, 9/28.)
12

9/24 9/26
10/01
10/03# 		  Review 2.6 through p68, Read 2.6 p69 – page 74.
  Do p75 Sec 2.6 Ex 9, 11, 12, 14
11

9/21 9/24
9/26
10/10# 		  Review 2.5, Read 2.6 through page 68
  Do p62 Sec 2.5 Ex 7, p75 Sec 2.6 Ex 1, 2, 7
10

9/19 9/21
9/24
9/26# 		  Read 2.5
  Do p61 Sec 2.5, Ex 1, 2
  See errata on the answer to Ex 1.
9

9/17 9/19
9/21
9/24# 		  Reveiw 2.4
  Do p55 Sec 2.4, Ex 23, 37, 38
 
8

9/14 9/17
9/19
9/21# 		  Review 2.4
  Do p55 Sec 2.4, Ex 7, 10, 22
7

9/12 9/14
9/17
9/19# 		  Reveiw 2.3, Read 2.4
  Do p45 Sec 2.3, Ex 6, 19
  p55 Sec 2.4, Ex 1
6

9/10 9/12
9/14
9/17# 		  Read 2.3
  Do p36 Sec 2.2 Ex 35,
       p45 Sec 2.3 Ex 4
5

9/07 9/10
9/12
9/14# 		  Review thru Section 2.2
  Do p15 Sec 1.3 Ex 20
           Hint: Integrate by parts twice.
       p35 Sec 2.2 Ex 6
           Hint: Factor the right hand side.
       p35 Sec 2.2 Ex 23 Note errata on Ex 23
       p35 Sec 2.2 Ex 24
4

9/05 9/07
9/10
9/12# 		  Read 2.2
  Do p25 Sec 2.1 Ex 8,
       p35, Sec 2.2 Ex 1, 4, 13, 18
3

9/03 9/05
9/07
9/10# 		  Read 2.1
  Do p14 Sec 1.3 Ex 28,
       p25 Sec 2.1 Ex 2, 3, 4, 10
 
  (On 9/4 a typo in this problem set was fixed.
  "p25 Sec 1.4" was changed to "p25 Sec 2.1.")
2

8/31 9/03
9/05
9/07# 		  Read 1.3
  Do p14 Sec 1.3 Ex 1, 2, 3, 6, 10
1

8/29 8/31
9/03
9/05# 		  Read Chapter 1 Sections 1.1 and 1.2
  Do on page 6, Sec. 1.1, Exercises 1, 4, 7, 10.
  Bring homework questions to class on Friday.

Note 1) Homework must be ready for peer grading and discussion in class on the first listed due date. It must be turned in for a final grade on the second listed due date. Peer grading will be 1/5 (20%) of the homework grade.

Note 2) If a "#" follows the "returned" date, then the solution key is posted on the cork board across the hall from room S233.

Note 3) Problems sets shown above with no "assigned" date are tentative. More problems might be added, expected due dates might change, but problems shown will eventually be assigned.

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