Last updated January 22, 2005
This page lists old tests, notes, Maple worksheets, sample
problems, etc., for Mth 355.
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 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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2003 Winter Mth 355 (399) Take-Home Final Exam
PDF,
71 KB, 2 pages, 10 problems
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This test has 8 work-out problems (you may use Maple if you wish) and 2 Maple
programming problems. Your solutions are due Thursday, March 20, 2003 at 3:30 PM, or
earlier, by email. Be sure to read the instructions on the test.
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2003 Winter Mth 355 (399) Assignment 9. Pedagogical stuff - the Maple student package
MWS,
27 KB, 2 problems, Maple Worksheet
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The student package provides double and triple integrals, change of variables in
integrals, trapezoidal and Simpson's numeric quadrature rules, and some other goodies.
Some things are not fully implemented - for example if we change variables in a multiple
integral we have to compute the limits of integration separately. As another example, in
the trapezoid rule and in Simpson's rule we can not specify the number of subintervals
except in the most primitive way. Maple explains these short-comings by stating, "The
student package is a collection of routines designed to carry out step-by-step solutions
to problems. " In other words, the purpose of the student package is pedagogical.
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2003 Winter Mth 355 (399) Assignment 8. Linear Algebra - the Maple linalg package
MWS,
24 KB, 2 problems, Maple Worksheet
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We look at a few commands from the linalg package.
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2003 Winter Mth 355 (399) Applied Discrete Mathematics Midterm
PDF,
90 KB, 3 pages, 10 problems
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2003 Winter Mth 355 (399) Applied Discrete Mathematics Midterm Sample Problems
PDF,
57 KB, 2 pages, 15 problems
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The actual midterm will be fewer problems.
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2003 Winter Mth 355 (399) Assignment 7. Interpolation. Planar Graphs. Numeric Derivatives
MWS,
16 KB, 5 problems, Maple Worksheet
PDF,
167 KB, 14 pages
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More Maple commands: Interpolation polynomials. Interpolation splines. Planar graphs.
Constructing numeric derivative estimates by the method of undetermined coefficients.
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2003 Winter Mth 355 (399) Assignment 6. Partial Fractions. Least Squares. Limits
MWS,
27 KB, 3 problems, Maple Worksheet
PDF,
88 KB, 17 pages
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Partial fractions. Full partial fractions. Trigonometric expressions. Least squares fit
(stats). Least squares fit (linalg). Limits. Problems.
- 2003 Winter Mth 355 (399) Assignment 5. Linear Recurrence Generating Function.
Graphs, Adjacency Matrix
MWS,
22 KB, 6 problems, Maple Worksheet
PDF,
97 KB, 15 pages
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Linear recurrence equations - generating functions. Graphs, adjacency matrix, number of
paths of a given length.
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2003 Winter Mth 355 (399) Assignment 4. Linear Recurrence Equations in Maple
MWS,
18 KB, 6 problems, Maple Worksheet
PDF,
89 KB, 14 pages
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Linear recurrence equations - examples. Linear homogeneous recurrence equations of
finite order. Linear inhomogeneous recurrence equations of finite order. Problems.
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2003 Winter Mth 355 (399) Assignment 3. Maple Topics: Differential Equations.
Prime Numbers
MWS,
28 KB, 4 problems, Maple Worksheet
PDF,
119 KB, 17 pages
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Introduction. Equations. Functions and differentiation. Plotting multiple functions.
Ordinary differential equations (symbolic). Ordinary Differential Equations (Numeric).
Prime numbers. Problems.
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2003 Winter Mth 355 (399) Assignment 2. More Maple commands. Some combinatorics
MWS,
32 KB, 3 problems, Maple Worksheet
PDF,
248 KB, 18 pages
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Digits. Functions and expressions. Derivatives. Integration. Plotting. Stirling numbers
of the second kind, S(r,n). Bell numbers. Number of factorizations of a square-free
natural number. Construction of all partitions. r-permutations. Multinomial and binomial
coefficients. r-cobinations. Problems.
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2003 Winter Mth 355 (399) Assignment 1. Set Theory and Maple Programming
MWS,
34 KB, 3 problems, Maple Worksheet
PDF,
53 KB, 14 pages
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Introduction. Getting started. Assignment and ditto operators. Execution time. Set,
intersection, union, difference. Functions. Symmetric difference of sets. Cardinality of a
set. Elements of a set. Lists. Subsets of a set. Maple procedures. Cartesian product of
sets. Problems.
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2001 Fall Mth 355 (399) Applied Discrete Mathematics Final Exam
PDF,
93 KB, 2 pages, 8 problems
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2001 Fall Mth 355 (399) Assignment 8 Graph Theory in Maple
MWS,
20 KB, Maple Worksheet
PDF,
135 KB, 8 pages
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2001 Fall Mth 355 (399) Assignment 7 Inhomogeneous Recurrence Equations, Method
of Undetermined Coefficients
MWS,
29 KB, 7 problems, Maple Worksheet
PDF,
71 KB, 10 pages
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2001 Fall Mth 355 (399) Assignment 6 Recurrence Equations
MWS,
28 KB, 7 problems, Maple Worksheet
PDF,
109 KB, 12 pages
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2001 Fall Mth 355 (399) Assignment 5 Combinatorics in Maple
MWS,
36 KB, 16 problems, Maple Worksheet
PDF,
88 KB, 17 pages
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2001 Fall Mth 355 (399) Some Notes on Counting
PDF,
41 KB, 3 pages
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- 2001 Fall Mth 355 (399) Assignment 4 Introduction to Matlab
HTML,
26 KB, 5 problems, Matlab
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2001 Fall Mth 355 (399) Programming Example -
imagic.m
M-file,
2 KB, Matlab m-file
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2001 Fall Mth 355 (399) Least Squares Polynomial Fit -
lsp.m
M-file,
1 KB, Matlab m-file
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2001 Fall Mth 355 (399) Assignment 3 Combinatorics
MWS,
31 KB, 3 problems, Maple Worksheet
PDF,
80 KB, 13 pages
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2001 Fall Mth 355 (399) Assignment 2 Solution to Problem 3 - Multiple Cartesia Products
MWS,
13 KB, Maple Worksheet
PDF,
36 KB, 4 pages
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2001 Fall Mth 355 (399) Assignment 2 Maple Programming
MWS,
13 KB, 5 problems, Maple Worksheet
PDF,
43 KB, pages
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2001 Fall Mth 355 (399) Lab Visit - Introduction to Maple
MWS,
50 KB, Maple Worksheet
PDF,
306 KB, 29 pages
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2001 Fall Mth 355 (399) Assignment 1 Power Set
PDF,
27 KB, 1 page, 1 problem
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2001 Fall Mth 355 (399) Maple Introduction - Set Theory in Maple
MWS,
16 KB
PDF,
20 KB, 6 pages
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Copyright © 2000-2003 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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