http://faculty.wiu.edu/IShovkovy/syllabus/410_Mathematica.htm
Application of Computer Programming in the Physical
Sciences and Engineering PHYS 410G 
Days: 
Monday, Wednesday, Friday 
Time: 
3:00 p.m. – 3:50 p.m. 

Location: 
CURRENS 336 
Overview: This is
the Application of Computer Programming
in the Physical Sciences and Engineering course for physics majors at the
advanced undergraduate and graduate level. Tentative list of topics to be
covered includes basics of computer
algebra program Mathematica (including
functions, procedures, packages, 2D and 3D graphics), solving algebraic and
differential equations, studying linear and nonlinear oscillating systems.
Objectives: It is the purpose of this course that students develop practical skills in using analytical, numerical and graphics features of Mathematica for solving various physics problems, for setting up computational simulations, for working with data files, and for presenting the results in a number of different graphical forms.
Textbook: Mathematica for Physics (2nd
edition) by Robert L. Zimmerman and Fredrick I. Olness.
Supplementary texts: Numerical
Methods for Engineers by S.C. Chapra and R. P. Canale,
and Numerical computation in Science
and Engineering by C. Pozrikidis
Attendance policy:
Attendance is expected although not mandatory. Students are responsible for all
material presented in class, all homework, and for all changes to the schedule
or plans which are announced in class.
My office is Currens 305. My office telephone number is 3092982743. You are welcome to call me at my office at any time. There is a voice mail if I am not available. My email address is IShovkovywiu.edu. I read email daily during weekdays.
Office hours will be on Wednesday and Friday from 4:30 p.m. to 6:00 p.m. In addition, you can make appointments with me.
Prerequisites: One year of general physics, one year of calculus, or permission of the instructor.
The final grade for this course will be based on weekly homework assignments and a project. My default plan is to use the following table for determining the maximum number of points for each category:
Homework 
60 
Project 
40 
TOTAL 
100 
together with the following grade ranges:
A (85100 points), B (7084 points), C (5569 points), D (4054 points), F (<39 points)
Homework will be assigned about every week or so. The solutions should be handed in the following week before the class. In general, late homework will not be accepted. There will be 10 to 20 problems assigned during the course. Each of them will be graded on a scale from 0 to 10. At the end of the semester, I will rescale the total homework score so that the maximum is 60 points.
Project. Each student will be required to complete a small project on a problem of his/her choice (to be approved by the instructor). The maximum score for the project is 40 points. The finished project should demonstrate (i) the knowledge of the physics processes modeled, and (ii) the practical knowledge of using procedures, functions and graphical tools of Mathematica. The project should be written in a clear way, and should be executable as a whole notebook. The project (in an electronic form, preferably on a CD) is due not later than the last day of classes (May 4, 2007).
Tentative schedule
The exact schedule for lectures will depend on how long it takes to cover the material. The following is my best guess as of now (January 2007). Please note that there will be no midterm exam and no formal final exam. The purpose of the project is the same as the final exam.
Dates 
Tentative description of
topics to be covered 

from 
To 

Jan. 17, 2007 
Mar. 9, 2007 
Introduction to computer algebra program Mathematica, Arithmetic and Algebra, Functions and Procedures, Packages, Calculus, 2D and 3D Graphics, Solving algebraic and differential equations, Analytical and numerical solutions, Graphics options 
Mar. 12 – 16,
2007 
Spring break 

Mar. 19, 2007 
May. 4, 2007 
Linear oscillating systems, coupled oscillations, nonlinear oscillating systems, phase space analysis, use of the Mathematica standard packages, use of Mathematica in research 
May 4, 2007 
Due date for the project 
For student rights and responsibilities see the WIU web
page: http://www.wiu.edu/provost/student/
Useful online resources:
1. Web site of Prof. R. L. Zimmerman
2. Web site of Prof. F. I. Olness
Handouts
1. Notes on Mathematica commands (pdffile)
2. Local copy of MathSample_Olness.nb (Mathematica notebook)
1. note_1 (pdf, 1/26/07)
2. note_2 (nb, 1/29/07)
3. note_3 (nb, 2/2/07)
4. Notebook on 3DAnimation, animated GIF file (nb, 2/16/07)
5. Animation of the Brownian motion (nb, 2/21/07)
6. Nomesh surfaces of various types (nb, 3/2/07)
7. Extended help sheet on Mathematica commands (pdf, 3/2/07)
Homework
solutions
1. homework_1 (pdf, 1/30/07)
2. homework_2 (pdf, 2/12/07)
3. homework_3 (pdf, 2/19/07)
4. homework_4 (see, e.g., “Animation of the Brownian motion” above)
5. homework_5 (pdf, 3/6/07)
6. homework_6 (pdf, 3/23/07)
7. homework_7 (pdf, 3/26/07)
8. homework_8 (pdf, 4/8/07)
9. homework_9 (pdf, 4/12/07)
10. homework_10 (pdf, 4/25/07)
Last
modified March 26, 2007