Math 740 Section D1 syllabus (Click here to obtain pdf format)

Assignment 1 Due Wednesday, January 31 at the beginning of class

Assignment 2 Due Wednesday, February 7 at the beginning of class

Note: To view or print out pdf files, you may need the Adobe Acrobat reader, which you may download for free if you don't have it yet by clicking here.

Assignments 3a and 3b Due Wednesday, February 14 and 21 at the beginning of class

A transcript showing the use of Octave to implement Gram-Schmidt orthogonalization, QR factorization and solving the least squares problem (as in Sections 3.2, 3.3 and 3.4)

How to get Octave to evaluate a definite integral

MATLAB functions from class:

mysolve.m (to solve a*x=c); lissajous.m ; myeps.m (to find the machine epsilon)

Links for useful MATLAB functions:

lufactor.m plufactor.m forwsub.m backsub.m QRfactor.m modifiedQR.m householderQR.m

inversepowerit.m orthogit.m powerit.m QRit.m QRshift.m rayleigh.m QRiterr.m QRshift.m

newton2_sys.m orthogonal_polynomials.m (as on page 277) interp.m mypolyval.m

Octave installation instructions

Octave tutorials: How to get started (in pdf format); this consists of extracts from Introduction to Octave (in pdf format)

Note: To view or print out pdf files, you may need the Adobe Acrobat reader, which you may download for free if you don't have it yet by clicking here.

Program "Rowop" with prompts to perform elementary row operations on a matrix [A] on TI calculators:

TI 82 binary version (397 bytes); TI 82 text listing of program

TI 83 binary version (396 bytes); TI 83 text listing of program; (Use the TI 83 version if you have a TI 84)

TI 85 binary version (522 bytes); TI 85 text listing of program (Use the TI 85 version if you have a TI 86)

Program "Eulertab" to use Euler's method to solve dy/dx=f (x,y) on TI calculators:

TI 84 binary version (203 bytes); TI 84 text listing of program. (Use the TI 84 version if you have a TI 83).

Note: If you wanted to solve dy/dx=x

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 are "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.

Some notes on how to perform elementary row operations on a graphing calculator and with an Excel spreadsheet (in pdf format)

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 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 pivot.xls).

Programs to test floating point arithmetic

Fortran program to find floating point "solutions" of a^n+b^n=c^n

Try running this program with the following input: c value to use: 40000.

n value to use: 3

number of c values to use: 1000

The value of err2=c^n-a^n-b^n is printed in cases when err2 is small.

What happens if you input these values of a, b and c into a TI 83 calculator?

The spreadsheet euler.xls (62464
bytes)

The spreadsheet eulerapr19_06.xls
(67584 bytes)

Note: To use this binary file, 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 Firefox. The downloaded file should have the
indicated
length. With some

versions of Firefox, it may be corrupted and have a
different length. In that case, please use Internet Explorer. If
you have problems following these instructions, please send e-mail to arosenthal@salemstate.edu).

**Current and future Master's level Math courses offered at Salem State University

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

Specific Information on Master of Science (MS) in Mathematics or Master of Arts in Teaching (MAT) Mathematics programs at Salem State University

To send me e-mail, click on arosenthal@salemstate.edu