Welcome to the Math 108 (Finite Mathematics) home page.
Please click on any of the following:
Math 108 Section 11 (Online) syllabus for
Summer 2012
Orientation video to Canvas,
WileyPLUS and Excel
(The Canvas material is between 1:00-9:00 and 37:00-39:00 in the
video; the WileyPLUS material starts at 9 minutes into the video; the
Excel material starts 25 minutes into the video. I recommend
right-clicking on this link and saving it to your computer's hard
drive. Then, either (1) navigate to the directory where you saved
it and double click on the downloaded file, orientation_video.wmv or
(2) start Windows Media Player and click on "File", "Open", navigate to
the directory containing orientation_video.wmv, click on the file name,
and then click on "Open". )
A
spreadsheet that can be used with Excel to
pivot matrices (in xls format) (I recommend
right-clicking on this link and saving it to your computer's hard
drive. Then, navigate to the directory where you saved it and
double click on ExcelPivot.xls). If this spreadsheet won't work
on
your computer, click here for
instructions that might help you fix the problem.
A Linear Algebra
toolkit that can perform row operations on a matrix and obtain its
reduced row echelon form
A spreadsheet, rowop.xls, that will perform
Gaussian elimination on most matrices up to 3x4
(To use this, you might need to (1) save rowop.xls to your hard disk,
by
right clicking and using "Save target as" with Internet Explorer or
using
"Save link as" with Firefox or Netscape and then (2) double click on
rowop.xls. After the first time, only step (2) will need to be
done.)
A simplex
method tool
(Note: This tool requires all constraints to be written with the
right-hand side nonnegative. The objective function can't have
any
constant terms in it. If a variable appears in a constraint but
not in
the objective function, be sure to include it in the objective function
with a coefficient of 0).
More course material has been posted at Canvas
. If your Salem State Student ID is 1234567, your username is
S1234567
. If you don't know your password, click on the link "I
don't know my password" . From Canvas, you may find
links to the first
assignment. This assignment may also be accessed directly by
going to
http://edugen.wiley.com/edugen/class/cls267317/
(if you are in Section 11) .
To use this site, you will need a PIN code, which
is included
with Sullivan's textbook : ISBN 9781118091142 or
9781118091180 for the
11th edition).
If you
don't have this book, you may go to
http://edugen.wiley.com/edugen/class/cls267317/
(if you are in Section 11)
and
click on the appropriate links to purchase a Wiley PLUS registration
code.
Be sure to give a valid e-mail address when asked.
With Wiley PLUS assignments, please note that if the answer
to a problem is
2x-1, you need to type the multiplication sign (namely 2*x-1) to get
your answer marked correct. Although TI calculators do not
require the multiplication sign to be explicitly typed, WileyPLUS, like
Excel, does require the multiplication sign to be explictly typed in
order to yield the correct answer.
Also, if the answer to a problem is 113000, WileyPLUS marks 113,000 as
incorrect. If this type of issue causes you to lose any credit
for a problem, please e-mail me at arosenthal@salemstate.edu
and let me know the problem number. I will make sure you receive
full credit for such a problem.
Program "Rowop" with prompts to perform elementary row operations on
a matrix [A] on TI calculators:
Rowop TI 82 binary version (397
bytes); TI
82 text listing of Rowop program
Rowop TI 83 binary version (396
bytes); TI
83 text listing of Rowop program
(Use the TI 83 version if you have a TI 84)
Rowop TI 85 binary version (522
bytes); TI
85 text listing of Rowop program (Use the TI 85 version
if
you have a TI 86)
Program "Simplex5" to perform the
simplex
method on an initial simplex tableau on a TI 83 or TI 84 (The
program asks where your matrix is. Press MATRX and the down arrow
if necessary to select your matrix. Then, press ENTER. The
program alters the matrix [B] as it performs the simplex method).
Simplex5 TI 83 binary version (914
bytes);
TI 83 text listing of Simplex5 program
(Use the TI 83 version if you have a TI 84)
Note: In the text listings,
\->\
represents
the
STO-> key in the left column.
Note: To use the binary version of the program, you
will
first need to download it. To download it, right click the
appropriate
link and choose
"Save target as..." with Internet Explorer or "Save
link
as..." with Netscape. The downloaded file should have the
indicated
length. With some versions of Netscape, it may be corrupted and
have
a different length. In that case, please use Internet Explorer or click
here
to find another link that might enable you to download this file
properly.
If you have problems following these instructions, please send e-mail
to
arosenthal@salemstate.edu).
After being downloaded, the binary
version of
the
program may be loaded directly into the TI calculator of the
corresponding
type, IF you have a "TI-GRAPH LINK" cable to connect your PC and the
calculator
and you use the appropriate "TI-GRAPH LINK" software available for free
download at http://education.ti.com/us/product/apps/latest.html .
There used to be "TI-GRAPH LINK" cables connected to several of
the computers
in the Math Lab which you may use in the Math Lab. The "TI-GRAPH
LINK" software is already installed on some of the computers in the
Math
Lab. If you have trouble finding it, please ask for help.
If you have a "TI USB connectivity kit" cable
and
TI-Connect version 1.6 (or later) software installed on your computer,
it is even easier to load the binary version of "Rowop" onto your TI
calculator. (TI USB cables and TI-Connect
software are already
present on many of the computers in the Math Lab. If you have
trouble
finding such a computer, please ask for help. TI-Connect
is available for free download at http://education.ti.com/educationportal/appsdelivery/download/download_select_product.jsp?cid=us
if you click on the link for Free
Computer Software
and then click on the link for TI-Connect Software for Windows or
Macintosh, whichever is appropriate for your computer).
After TI-Connect version 1.6 or later is installed on your computer,
plug the USB part of the USB cable into a USB port on your computer and
the pointy part of the USB cable into your TI calculator. Then,
turn on your calculator. Use the mouse on your computer to
right-click on the binary program file you downloaded to your
computer. Select "Send to TI device". Select the file
and choose Destination RAM. Then, click on "Send to Device" at
the bottom of the screen. The binary file will then be
transferred to your TI calculator.
A spreadsheet, binomial.xls, to find
binomial
probabilities
A spreadsheet that illustrates using Solver
(Tools/ Solver with Excel) and the simplex method to solve a linear
programming problem
A spreadsheet containing an
explanation of how to use spreadsheets, solver and sensitivity analysis
(To
use the Solver feature of Excel with this spreadsheet, you might
need to (1) save it to your hard disk, by
right
clicking and using "Save target as" with Internet Explorer or using
"Save link target as" with Netscape and then (2) double click on the
file you saved. After the first time, only step (2) will need to
be
done.)
A script (rowop.m) which you may use with
MATLAB
(in
the Math Lab) to pivot matrices.
(This may be useful when
performing
Gaussian elimination or when using the simplex method). I
recommend
right-clicking on the above link and saving it to your computer's hard
drive. Then, open MATLAB and click on "File" "Run Script" and
navigate
to the directory where you saved rowop.m. Click on rowop.m and
then
click
on "Open" and "OK". To input your matrix, enclose it in brackets
and
separate each row with a semicolon. For example, to input a 3 by
3
identity matrix, type
[1 0 0;0 1 0;0 0 1]
A script (rowop.sci) which you may use
with SCILAB to pivot matrices
(This may be useful when performing Gaussian elimination or when using
the simplex method). I recommend right-clicking on the above link
and
saving it to your computer's hard drive. To use this, you may
need to
download and install SCILAB from http://www.scilab.org
. Then, open SCILAB and click on "File"
"Exec" and navigate to the
directory where you saved rowop.sci. Click on rowop.sci and then
select "Open". To input your matrix, enclose it in brackets
and
separate each row with a semicolon. For example, to input a 3 by
3
identity matrix, type
[1 0 0;0 1 0;0 0 1]
(You could also type eye(3,3) to input a 3 by 3 identity matrix).
A toolkit to solve a
linear system of equations, find a matrix inverse, etc.
Professor Rosenthal's home page
My favorite Web sites
(including
a map of Salem State University and a link to MBTA schedules for routes
serving
Salem)
Home page for Mathematics
at Salem State University or Salem
State University or ***Graduate
Math programs at Salem State University or Graduate
programs in general at Salem State University
To send me e-mail, click on arosenthal@salemstate.edu