Assignment
1
Due Wednesday, January 29, 2014 at the
beginning of class (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.

Assignment
2
Due Wednesday, February 12, 2014 at the
beginning of class (in pdf format):

Solutions to part
1 (in pdf
format); Solutions to part 2
(in pdf format)

Assignment 3
Due Wednesday, March 5, 2014 (for problem 1) and March 19 (for problems
2 and 3) at the
beginning of class (in pdf format):

Solutions to part 2 (in
pdf format)

Assignment 4 Due
Wednesday, April 2, 2014 at the beginning of class (in pdf
format)

Note: Knowing how to do Problems 1 and 2 of this assignment could
help on the test on March 26th.

Assignment 5 Due
Wednesday, April 9, 2014 at the beginning of class (in pdf
format)

Assignment 6 Due
Wednesday, April 16, 2014 at the beginning of class (in pdf format)

Assignment 7 Due
Wednesday, April 23, 2014 at the beginning of class (in pdf format)

A recommended problem to do before class on April 30, 2014 (in pdf format)

A Matlab program
newton1dr.m to solve fun(x) = 0 using Newton's method (You
need to supply fun.m and funpr.m containing the function and its
derivative. The links here are functions that could be used for
problem 6 in HW 2: pr6fun.m
pr6fpr.m To use them, type the
following at the Octave prompt: [xc yc
errx]=newton1dr("pr6fun","pr6fpr",0,1.e-11,20,2)

You could also use pr6ftaylor.m to
evaluate fun(x) using a Taylor polynomial. To use it,
type [xc yc
errx]=newton1dr("pr6ftaylor","pr6fpr",0,1.e-11,20,2)

A Matlab program
bisectionf.m to solve ff(x)=0 by bisection

I
recommend right-clicking on the above link and saving it to your
computer's hard drive. Then, open MATLAB or OCTAVE and navigate
to the directory where you saved euler.m. (If it is in
c:\myprogs, you could type cd c:\myprogs . To use
this, you will also need to write a function, which you could call
myfun.m to evaluate the function f(x,y).
You could then invoke
euler.m by typing [X,Y]=euler('myfun',a,b,y0,n); (after defining a, b,
y0 and n; if y(0)=1 and you want to find y(2), you could type
[x,y]=euler('myfun',0,2,1,16) at the Matlab command prompt.
You could also use euler_f_results.m
to call euler.m. To run euler_f_results.m, you could
type yres=euler_f_results('myfun',0,1,1,2,13) at the Mablab (or
Octave) command prompt.

A spreadsheet heuns_method.xls to solve dy/dx=f(x,y), y(x_0)=y_0 by Euler's method and by Heun's method, with Richardson extrapolation

A spreadsheet that can be used to
solve f(x,y)=0 and g(x,y)=0 using Newton's method (in .xls format)

Information about storing floating point numbers: IEEE 754-1985
(recommended reading); IEEE 754-2008

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.

Programs to test floating point arithmetic

**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

Afterwards, click "Back" to go back to this page.

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