Math 723 Section D1 syllabus (click here to obtain pdf format)

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Assignment 1 Due Wednesday, September 13, 2017 at the beginning of class (in pdf format)

Assignment 2 Due Wednesday, September 27, 2017 at the beginning of class (in pdf format)

Assignment 3 Due Wednesday, October 4 and 11, 2017 at the beginning of class (in pdf format)

Assignment 4 Due Wednesday, November 1, 2017 at the beginning of class (in pdf format

Assignment 5 Due Wednesday, November 15, 2017 at the beginning of class (in pdf format)

Assignment 6 Due Wednesday, November 29, 2017 at the beginning of class (in pdf format)

Assignment 7 Due Wednesday, December 6, 2017 at the beginning of class (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)

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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

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