Math 725 Section S1 syllabus for Spring 2018 (Click here to obtain pdf format)

Assignment 1 Due Tuesday, January 23, 2018 at the beginning of class (in pdf format)

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Assignment 2 Due Tuesday, January 30, 2018 at the beginning of class

Assignment 3 Due Tuesday, February 6, 2018 at the beginning of class

Assignment 4 Due Tuesday, February 13, 2018 at the beginning of class

Assignment 5 Due Tuesday, March 6, 2018 at the beginning of class

Notes on how to solve linear recurrence relations with constant coeffficients

Follow the links to Step 1 (finding the homogeneous solution to the homogeneous equation);

Step 2 (finding a particular solution, if the recurrence relation is inhomogeneous);

Step 3 (combining the homogeneous and particular solutions);

Step 4 (use initial conditions to eliminate the undetermined constants from Step 1).

Files that will let you compile basic programs (in zip format) (to use, you might need to (1) save qbasic.zip 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) unzip or extract qbasic.zip to c:\, using the create directory option, and (3) double click on "Microsoft Quick Basic" in the qbasic directory that should be created. After the first time, only step (3) will need to be done.) However, this version of Microsoft Quick Basic won't work on a 64 bit version of Windows 7 Home Premium. I don't know yet if it will work on a 32 bit version of Windows 7. If you find Quick Basic doesn't work on your computer, you may also download Octave (which is similar to MATLAB) using the links below:

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 fractal.bas (a modified version of the program FRACTAL on p. 142 of the text) and fractal_9_143.m (run fractal_9_143.m with Octave or Matlab)

Program orbitlogistic.m to generate the orbit diagram for the logistic function f (x) = cx( 1 – x ) ( This enables Exercise 2.7 on page 28 to be answered).

Program orbit02.bas (a
modified version of the
program ORBITDGM on p. 70 of the text) and orbit2.m (run orbit02.bas with qbasic;
orbit2.m with Octave or Matlab)

A video demonstrating how to use Qbasic, Matlab or Octave to generate an orbit diagram or plot a Julia set

Program julia5b.bas to find the julia set for T(z)=z^3+c as in Exercise 7, p. 96 using the backward orbit method as in chapter 7 and julia5b.m

Program Mandelbrot1.bas (a modified version of the program on p. 117 of the text) and mandelbrot2.m (To download this file, right click on the link and select "Save target as..."; run mandelbrot1.bas with qbasic; mandelbrot2.m with Octave or Matlab).

Program julia7p3.bas (to find the Julia set of ce^z, where c is a complex number; c=c1+ic2, where c1 and c2 are real)

A graphing calculator emulator (Microsoft Mathematics 4.0)

**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