Last updated November 30 2007
This page lists old tests, notes, Maple worksheets, sample
problems, etc., for Mth 256.
You may find this material useful for studying.
Expect some overlaps in the various files.
Eventually very old files will dribble off the bottom.
Many of the documents are in Portable Document Format (PDF) or are
Maple worksheets (MWS).
PDF files are "Portable Document Files." You can use the
free Adobe Acrobat Reader, available at
http://www.adobe.com, to view or print PDF files. The
Acrobat Reader plugin is installed in the browser(s) on many
campus computers. There are many other software packages for
reading PDF files. Maple Worksheets require Maple to be useful.
Problems
viewing or printing PDF files. Please report any problems you
have reading or printing my PDF files.
Homework (for text edition 8)

2007 Fall Mth 256 Exam
PDF,
61 KB, 8 pages, 15 problems

In addition to 15 multiple choice problems the final exam has 4 useful tables
occupying 3 pages. The actual test is 5 pages. The following table shows the problem
number, the correct answer and the number of people who chose it, the number of people
who chose each proposed answer, A  E, and
the topic of the problem. As you can see, for most problems the correct answer was
the most popular choice. The exceptions are problems 5 and 6. Note also that problem
7 was difficult for many people.
Que  Ans  A  B  C  D  E  Topic 
1  B  45  38  45  9  5  4  undetermined coefficients 
2  C  41  3  26  41  28  3  undetermined coefficients 
3  C  52  10  11  52  24  4  initial value problem 
4  D  50  15  13  17  50  6  variation of parameters 
5  A  18  18  35  26  18  5  variation of parameters 
6  A  13  13  49  21  17  1  amplitude of steady state, driven dissipative spring 
7  E  31  29  16  21  4  31  harmonic oscillator, magnitude of solution 
8  A  90  90  5  1  1  4  Laplace transform 
9  D  74  2  8  10  74  7  inverse Laplace transform 
10  C  80  7  8  80  4  2  IVP via Laplace transform 
11  A  71  71  7  6  12  5  IVP via Laplace transform 
12  A  59  59  38  2  1  1  Laplace transform of unit step 
13  C  46  9  25  46  17  8  Newton's law of heatingcooling, cold beer 
14  B  37  11  37  26  16  9  TorricelliBorda draining a tank 
15  A  90  90  1  0  3  5  Laplace transform, IVP with Dirac delta 

2007 Fall Mth 256 Midterm Test
PDF 1300 version,
35 KB, 4 pages, 11 problems
PDF 1500 version,
35 KB, 4 pages, 11 problems

The answers are:
1300: C / A C C B / C D D C / 2.0625 oz/gal
1500: D / B A A B / D C D D / 2.0625 oz/gal

2007 Fall Mth 256 Time of Death Example
PDF,
19 KB, 1 page

This example uses Newton's Law of Cooling to determine the time of
death of a cadaver. In reality the situation is more complex but at
least now you'll have a reason to think about differential equations
when watching a murder mystery movie.

2006 Fall Mth 256 Test Format Sample
PDF,
21 KB, 2 pages

Here is the cover page for our midterm test. Please read
the instructions before coming to class to save a bit of time.
Ignore any statements about the number of problems. I just
chose some random numbers!

2006 Fall Mth 256 Complex Numbers  Early History
PDF,
13 KB, 2 pages

This is a brief and very sketchy early history of complex numbers.

2006 Fall Mth 256 Three Week Review
PDF,
47 KB, 8 pages, 27 problems
 Here are a few sample problems with Maple generated answers. The
actual test problems will be similar to some of these problems but
will be in multiplechoiceanswer format.

2006 Winter Mth 256 Final Exam
PDF,
(Lost  to be posted after being found.)


2006 Winter Mth 256 Midterm Test
PDF,
37 KB, 4 pages, 8 problems
PDF large print,
39 KB, 6 pages, 8 problems

Multiplechoice answers, 10 points each: 1=C, 2=B, 3=A, 4=D, 5=D, 6=A, 7=E (31/4).
Partial credit for problems 2 and 3, 8 points for 2=A and for 3=D. For problem
number 8 the answer is 1.10119 oz/gal and partial credit was allowed for some
correct work.

2004 Winter Mth 256 Final Exam
PDF,
65 KB, 6 pages, 12 problems

Multiplechoice exam.

2004 Winter Mth 256 Laplace Transform table from the final exam
PDF,
45 KB, 2 pages

This is the actual Laplace transform table that will be supplied with the final
exam. Be sure that you understand how to use it.

2004 Winter Mth 256 Test 2
PDF,
38 KB, 3 pages, 4 problems


2004 Winter Mth 256 Test 1
PDF, 40 KB,
3 pages, 8 problems


2004 Winter Mth 256 Sample Problems  second set
PDF,
55 KB, 5 pages

Here are 24 problems dealing with variation of parameters and the method
of undetermined coefficients.

2004 Winter Mth 256 Applied Differential Equations Problem Collection
PDF,
72 KB, 9 pages

Version 20040123.
This collection of problems will be updated fairly frequently during the quarter. The
problems are mostly multiplechoice problems and are organized by topic. Many of the
problems, though perhaps not all, are suitable test problems.

2002 Winter Mth 256 Applied Differential Equations Test 2, version a
PDF,
34 KB, 3 pages, 10 problems


2002 Winter Mth 256 Applied Differential Equations Sample (partial) Test
PDF,
30 KB, 1 page, 3 problems


2002 Winter Mth 256 Variation of Parameters and Duhamel's Principle
PDF,
48 KB, 4 pages
MWS,
13 KB, Maple Worksheet


2002 Winter Mth 256 Method of Undetermined Coefficients  sample problems
PDF,
46 KB, 4 pages, 10 problems
MWS,
12 KB, Maple Worksheet


2002 Winter Mth 256 Applied Differential Equations Test 1
PDF,
33 KB, 2 pages, 8 problems, test version a
PDF,
33 KB, test version z


2002 Winter Mth 256 Applied Differential Equations Sample Test Problems
PDF,
20KB, 1 page, 4 problems


2002 Winter Mth 256 Integrating Factors and Exact ODE
PDF,
63 KB, 9 pages, 12 problems
MWS,
25 KB, Maple Worksheet


2002 Winter Mth 256 Euler Method for First Order ODE
PDF,
76 KB, 7 pages
MWS,
30 KB, Maple Worksheet


2002 Winter Mth 256 Linear First Order ODEs
PDF,
33 KB, 2 pages, 12 problems
MWS,
14 KB, Maple Worksheet Drill
problems with answers provided by Maple.


2002 Winter Mth 256 Separable First Order ODEs
PDF,
43 KB, 1 page, 6 problems
MWS,
17 KB, Maple Worksheet Drill
problems with answers provided by Maple.


2001 Winter Mth 256 Applied Differential
Equations Final Exam
PDF,
108 KB, 6 pages, 12 problems


2001 Winter Mth 256 Applied Differential Equations Sample Final Exam Problems
PDF,
101 KB, 4 pages, 6 problems


2001 Winter Mth 256 Applied Differential Equations Midterm Exam
PDF,
61 KB, 4 pages, 4 problems

2001 Winter Mth 256 Applied Differential Equations Sample Problems
PDF,
43 KB, 2 pages, 34 problems


2001 Winter Mth 256 Model Problems  Mixing Problems
PDF,
35 KB, 1 page, 3 problems


2001 Winter Mth 256 Model Problems  Drug Dosage
PDF,
33 KB, 1 page, 3 problems


2001 Winter Mth 256 Model Problems  Rocket Equation
PDF,
36 KB, 1 page, 3 problems


2001 Winter Mth 256 Model Problems  Newton's Law of Cooling
PDF,
39 KB, 1 page, 2 problems


2001 Winter Mth 256 Model Problems  Bouyancy, drag and acceleration of gravity
PDF,
36 KB, 1 page, 2 problems


2001 Winter Mth 256 Model Problems  Parachute problems
PDF,
39 KB, 1 page, 3 problems


2001 Winter Mth 256 Model Problems  BordaTorricelli principle examples
PDF,
42 KB, 1 page, 5 problems


2001 Winter Mth 256 Model Problems  Euler's method for a first order IVP
PDF,
35 KB, 1 page, 1 problem


2001 Winter Mth 256 Laplace Transform in Maple
PDF,
52 KB, 4 pages
MWS,
11 KB, Maple Worksheet

This Worksheet illustrates how to solve (linear) initial value problems by using the
Laplace transform. Maple is useful here by eliminating the large amounts of (simple, but
overwhelming) algebra needed when doing transform problems by hand.

2001 Winter Mth 256 Differential Equations with Maple
PDF,
211 KB, 10 pages
MWS,
46 KB, Maple Worksheet

This worksheet illustrates how to solve differential equations in Maple, how to extract
pieces of the data structure that Maple returns and a bit of plotting. It is just a short
introduction!

2000 Fall Mth 256 Laplace Transform table
PDF,
54 KB, 2 pages


2000 Fall Mth 256 Linear differential equations with Diracdelta and
Heaviside terms: Examples
PDF,
84 KB, 6 pages
MWS,
29 KB, Maple Worksheet


2000 Fall Mth 256 Newton's Law of Cooling  examples
PDF,
110 KB, 3 pages
MWS,
17 KB, Maple Worksheet

We solve two problems illustrating Newton's law of cooling. We note the system
temperature tracks the ambient, but with a time delay and with reduced amplitude of
fluctuation.

2000 Fall Mth 256 Applied Differential Equations Archive
PDF,
84 KB, 8 pages, 18 problems

Two tests and the final exam.

1997 Spring Mth 256 Applied Differential Equations Archive
PDF,
162 KB, 36 pages, 183 problems

This archive contains 164 sample problems, two tests and the final exam.

1996 Summer Mth 256 Applied Differential Equations Archive
PDF,
33 KB, 5 pages, 15 problems

Three tests.

1996 Spring Mth 256 Applied Differential Equations Archive
PDF,
46 KB, 7 pages, 19 problems

Two tests, final exam, Laplace transform table

1995 Spring Mth 256 Applied Differential Equations Archive
PDF,
91 KB, 9 pages, 25 problems

Five tests, final exam, Mothers' weekend test (fun), Laplace transform table
 1995 Winter Mth 256 Applied Differential Equations Archive
PDF,
158 KB, 25 pages, 141 problems

Sample problems by topic from CRUM1994, two tests, final exam.

1994 Fall Mth 256 Applied Differential Equations CRUM Report
PDF,
123 KB, 15 pages, 123 problems

Applied differential equations equations course description. Most parts of the course
are illustrated by typical test or homework problems.

1994 Summer Mth 256 Applied Differential Equations Archive
PDF,
88 KB, 9 pages, 54 problems

Sample problems, two tests.

1994 Winter Mth 256 Applied Differential Equations Archive
PDF,
111 KB, 12 pages, 69 problems

Sample problems, two tests, final exam.
 1993 Summer Mth 256 Applied Differential Equations Archive
PDF,
87 KB, 7 pages, 45 problems

Sample problems, three tests.

1992 Summer Mth 256 Applied Differential Equations Archive
PDF,
84 KB, 7 pages, 48 problems

Six tests.

1992 Spring Mth 256 Applied Differential Equations Archive
PDF,
70 KB, 4 pages, 28 problems

Two tests, final exam, makeup exam.

1992 Winter Mth 256 Applied Differential Equations Archive
PDF,
90 KB, 7 pages, 47 problems

Sample problems, two tests, final exam.
Copyright © 19922004 Bent E. Petersen. The documents and the Maple
worksheets described here, may be used, copied and distributed
freely, entire and intact, for any educational noncommercial
purpose, but may not be distributed in an altered form. If you
want to improve on anything, which certainly can be
done, then please write your own version(s).
petersen@math.oregonstate.edu
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