Mth 341 Documents

Last updated January 18, 2005

This page lists old tests, notes, Maple worksheets, sample problems, etc., for Mth 341. 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.


2000 Spring Mth 341 Roundoff example - row reduction and rank
MWS, 15 KB, Maple Worksheet
PDF, 18 KB, 6 pages
We present an example of a 3 by 3 matrix where Maple V5's row reduction yields rank 3, but where we have reason to think the rank should be viewed as 2. Increasing the precision of our calculations does not help - we simply get an apparently random sequence of 2's and 3's as we increase the precision in this ill-conditioned problem. This simple problem illustrates that Maple for all its power does not negate the need for careful though and thorough analysis of proposed solutions.
2000 Spring Mth 341 Linear Algebra Archive
PDF, 79 KB, 6 pages, 21 problems
Test, assignments and final exam.
2000 Spring Mth 341 Linear Algebra - First Lab Visit
MWS, 19 KB, Maple Worksheet
PDF, 37 KB, 19 pages
TXT, 25 KB, ASCII text
This worksheet is an introduction to using Maple in linear algebra (with the linalg package). At this point only row reduction and the solution of systems of linear equations are considered. More advanced topics will be considered later in the term. I have added a few comments and examples to illustrate that while Maple is very powerful it is no substitute for understanding. The worksheet is intended to be used in the Lab, but a text and a PDF version are provided for perusal on any PC, even one without Maple.
2000 Spring Mth 341 A Short Introduction to Maple in the MLC Lab
MWS, 28 KB, Maple Worksheet
PDF, 35 KB, 17 pages
TXT, 21 KB, ASCII text
The MLC lab contains 20 PC's running Windows NT. These workstations are equipped with some popular mathematical software. This note has a few comments on using the lab, some general comments on using Maple, and then a few examples pertaining to linear algebra (with linalg package) . The ASCII file should be viewable in any browser. The PDF file will, of course, require the Acrobat plug-in.
1999 Spring Mth 341 Linear Algebra Archive
PDF, 75 KB, 6 pages, 23 problems
Assignments, test and final exam.
1998 Winter Mth 341 Linear Algebra Archive
PDF, 66 KB, 4 pages, 12 problems
Midterm and final exam.
1998 Winter Mth 341 Linear Algebra Example - Population Migration
MWS, 12 KB, Maple Worksheet
PDF, 11 KB, 5 pages
We use Maple to find an equilibrium solution to a population migration problem. This worksheet provides an application also of the notion of matrix multiplication.
1997 Summer Mth 341 Linear Algebra Archive
PDF, 80 KB, 7 pages, 27 problems
Sample problems, two tests.
1997 Summer Mth 341 Kirchhoff Laws Example - An application of Linear Algebra and Maple
HTML, 7 KB, 1 problem
We use Maple to find the effective resistance of a network of resistors. This example makes use of Maple's ability to solve equations symbolically.
1995 Summer Mth 341 Linear Algebra Archive
PDF, 88 KB, 8 pages, 37 problems
Sample problems, three tests.
1995 Summer Mth 341 Maple and Linear Algebra
PDF, 110 KB, 15 pages
Fifteen pages of instructions on how to use some of the features of Maple's linalg package to solve problems in linear algebra
1995 Spring Mth 341 Linear Algebra Archive
PDF, 62 KB, 3 pages, 12 problems
Two assignments. (This file is a partial archive. Some things are missing, probably lost.)
1992 Fall Mth 341 Linear Algebra Archive
PDF, 104 KB, 9 pages, 43 problems
Sample test, two tests, draft exam, final exam.
1992 Winter Mth 341 Linear Algebra Archive
PDF, 76 KB, 5 pages, 21 problems
Two tests, final exam.

Copyright © 19xx-19xx 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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