This page lists old tests, notes, Maple worksheets, sample
problems, etc., for Mth 254.
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 plug-in is installed in the browser(s) on many
campus computers. There are many other software packages for
reading PDF files.
Maple Worksheets (MWS) require Maple to be useful.
Problems
viewing or printing PDF files. Please report any problems you
have reading or printing my PDF files.
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2007 Winter Mth 254 Midterm
PDF,
29 KB, 4 pages, 8 problems
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The version of the test posted here is the corrected section 050 version.
The correct answers are
C | B D B | D C A | C
Problem number 4 on all versions of the actual test had a typographical error
in it and therefore the correct answer (and the most popular) was E. Thus for
the actual test the correct answers were
Section 050: C | B D (B)E | D C A | C
Section 070: A | D A (C)E | A A C | B
MLC Make-up: B | D A (D)E | B B A | C
The answer in parantheses is the intended, but incorrect, answer for the actual test,
and E was the correct answer, because of the error.
The average on the test was 66/90 (73 %). That is a good average - congratulations!
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2006 Winter Mth 254 Final Exam
PDF,
49 KB, 6 pages, 16 problems
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This exam is all multiple choice. Unfortunately I have misplaced the
key. I'll post it after I find it, or after I work out a new one.
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2006 Winter Mth 254 Midterm
PDF,
39 KB, 5 pages, 9 problems
PDF large type,
40 KB, 7 pages, 9 problems
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Answers: 1-B, 2-C, 3-C, 4-A, 5-A, 6-B, 7-D, 8-B, 9 tangent 9x-y=8, normal x+9y=10.
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2005 Winter Mth 254 Final Exam
PDF,
43 KB, 4 pages, 12 problems
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2005 Winter Mth 254 Exam Header
PDF,
25 KB, 1 page
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This document contains the actual exam header.
By reading the instructions in the header ahead of time you can
avoid worrying about having insufficient time to read the
instructions on the actual exam. I regret I did not have time to
post some sample problems.
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2005 Winter Mth 254 Midterm Test
PDF,
36 KB, 2 pages, 9 problems
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2001 Spring Mth 254 Vector Calculus I Final Exam
PDF,
118 KB, 3 pages, 10 problems
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2001 Spring Mth 254 Vector Calculus I Test 2
PDF,
117 KB, 3 pages, 7 problems
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2001 Spring Mth 254 Vector Calculus I Test 1
PDF,
117 KB, 3 pages, 7 problems
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2001 Winter Mth 254 Vector Calculus I Midterm Test
PDF,
54 KB, 4 pages, 6 problems
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2001 Winter Mth 254 Vector Calculus I Sample Problems
PDF,
36 KB, 1 page, 12 problems
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2001 Winter Mth 254 Vector Calculus I Final Exam
PDF,
91 KB, 4 pages, 4 problems
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2001 Winter Mth 254 Vector Calculus I Sample Final Exam
PDF,
73 KB, 2 pages, 6 problems
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Actually just half of a sample exam.
- 2001 Winter Mth 254 Eigenvalues and eigenvectors.
Study Guide solutions. Quadratic forms
PDF,
40 KB, 11 pages
MWS,
26 KB,
Maple Worksheet
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Some examples of eigenvalues and eigenvectors. Solutions to the
problems in lesson 22 of the Study Guide (Parks 2000-01). Examples
of how to use Maple to diagonalize quadratic forms.
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2000 Summer Mth 254 Vector Calculus I Archive
PDF,
71 KB, 4 pages, 18 problems
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Two tests, an assignment and the final exam.
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2000 Summer Mth 254 Eigenvalue and Eigenvectors
PDF,
18 KB, 4 pages
MWS,
10 KB, Maple Worksheet
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Answers to section 22 of the Study Guide - a Maple example.
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2000 Summer Mth 254 Some Surface Plots
PDF,
168 KB, 5 pages
MWS,
264 KB, Maple Worksheet
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Maple plotting examples.
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2000 Winter Mth 254 Vector Calculus I Archive
PDF,
90 KB, 10 pages, 26 problems
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Midterm and final exam.
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1999 Fall Mth 254 Vector Calculus I Archive
PDF,
252 KB, 10 pages, 25 problems
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Maple surface plots, sample problems, final exam.
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1999 Fall Mth 254 Double and Triple Integrals in Maple
PDF,
51 KB, 5 pages
MWS,
20 KB, Maple Worksheet
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Maple has limited, but useful, support for double and triple integrals
in its student package (a standard part of Maple). This worksheet
illustrates how to use the commands for double and triple integrals.
With one or two kludges, we are able to compute the gravitational
attraction of a ball with density depending only on the distance
from the center. There are probably better ways to arrange the
calculation, so by all means, try to improve this worksheet.
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1998 Fall Mth 254 Vector Calculus I Archive
PDF,
59 KB, 9 pages, 40 problems
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Sample problems, midterm and final exam.
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1997 Fall Mth 254 Vector Calculus I Archive
PDF,
38 KB, 4 pages, 12 problems
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Midterm, final exam.
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1996 Fall Mth 254 Vector Calculus I Archive
PDF,
36 KB, 4 pages, 17 problems
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Two tests and the final exam.
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1996 Fall Mth 254 Of Rabbits, Graphs and Eigenvalues
PDF,
74 KB, 5 pages
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Leonardo of Pisa, also known as Fibonacci, lived about 1170 to 1250.
In 1202 he published the Liber Abaci in which he introduced
Arabic, Arabic-Greek, and Hindu arithmetic, geometry, algebra, and
the decimal place-value system to Europe. In the same text he introduced
a model for the propogation of rabbits, a model which leads to the
celebrated Fibonacci numbers. In this note we obtain the Binet formula
for the Fibonacci numbers as an application of the notion of eigenvalues.
As a second application of eigenvalues we see how to obtain formulae
for the number of paths of a given length in a graph.
- 1996 Fall Mth 254 Vector Calculus I Linear Algebra Supplement
PDF,
70 KB, 13 pages
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Solutions for the Anselone and Lee Study Guide as obtained by using Maple.
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1996 Spring Mth 254 Vector Calculus I Archive
PDF,
41 KB, 5 pages, 17 problems
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Two tests and the final exam.
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1996 Winter Mth 254 Vector Calculus I Archive
PDF,
568 KB, 28 pages, 42 problems
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Railroad tracks, curvature, surface plots, level curves, 8 tests
and a the final exam.
- 1994 Fall Mth 254 Vector Calculus I Archive
PDF,
27 KB, 4 pages, 13 problems
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Midterm and final exam.
Copyright © 1994-2005 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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