Computer Assisted Math Modeling
(MA 354-101)

SPRING  2008

Instructor: Dr. Jyoti Champanerkar
Office: ILB 423
Phone: (251) 414-8039
Office Hours: Mondays 1:30-3:00pm, Tuesdays 11:00am-12:30pm and Wednesdays 1:30-3:00pm (or by appointment).
E-mail:  (This is the best way to contact me.)

Class Meets: (Instructional Laboratory Building)  ILB 410, Tuesdays 9:30-10:45am and ILB 405 (Computer lab), Thursdays 9:30-10:45am.
Class URL:

Text: A First Course in Mathematical Modeling, F.R. Giordano, M.D. Weir and W.P. Fox. (ISBN: 0-534-38428-5)
Additional Reading:
Differential Equations Computing and Modeling, C.H. Edwards and D.E. Penny. (ISBN: 0-13-067337-4)
Mathematical Models: Mechanical Vibrations, Population Dynamics and Traffic Flow, R. Haberman
Differential Equations A Modeling Approach, F.R. Giordano and M.D. Weir. (ISBN:0-201-17208-9)

Important Dates:
Last day to drop this class: Friday, April 4, 2008 (4:59pm).
No Final Exam.

You are expected to attend all lectures. You are responsible for all the material covered in class, whether or not you are present.

Cellphones / Beepers Policy:
Use of cell phones and beepers is not permitted in the classroom at any time. If you have a cell phone or a beeper they must be kept on silent mode in the class. These devices are disruptive to the class and a student violating these policies will be asked to leave the classroom.

Course Description:
This course is intended to provide the basic idea regarding formulation, development, testing and reporting of mathematical models of various real world problems. The use of simple calculators and various computer software such as Microsoft Excel, Mathematica, etc., will be an integral part of the course.

Course Objective:
The objectives are two-fold. The first objective is to study the behavior of  given mathematical models of real-world problems analytically and numerically. The mathematical conclusions thus drawn are then to be  interpreted in terms of the real-world problem that was modeled, thereby ascertaining the validity of the model. The second objective is to  model real-world observations  by making appropriate simplifying assumptions and  identifying key factors.

If you have a disability that requires academic accommodations, please see Ms. Andrea Agnew (Student Center 270, Phone: (251) 460-7212), obtain a certificate verifying the disability and provide it to me.

The requirements and policies may be modified as circumstances dictate. Such changes will be provided to you in class and in writing.

There will be one mid-semester exam. The date and the syllabus for the mid-semester exam will be announced in due course of time.

Final Exam:
There will be no Final exam. However the write-up of the final project will be due on the day of the final exam, Thursday, May 1, 2008 by 10:30am.

Your total score will be determined as follows:
50 %
Mid-semester Exam
25 %
Final Project
25 %

The total score will then be curved and the letter grade for the class will be determined as follows.
Your total curved score
Letter Grade
below 50%
greater than or equal to 50% but less than 60%
greater than or equal to 60% but less than 75% C
greater than or equal to 75% but less than 89% B
greater than or equal to 89%

On an average, two homeworks will be assigned every week. You may discuss the homework with others, but you must not copy from others. Each student must submit their own homework. Homework must be written legibly and neatly or typed. Late homework will not be accepted.
(M): Homework marked (M) should be done using Mathematica® and emailed. The files should be labeled as yournamehwNO.nb and sent as an attachment,  where "yourname" is Your Name and "NO" stands for the two-digit homework number. So, for example hw 3 submitted by Jyoti Champanerkar may be saved in a file labeled CJyotihw03.nb. Please send only one notebook containing your entire homework for that day.

Each student will be assigned a final project sometime in March. The project will consist of a reasonably simple modeling problem. You are required to read up the topic on your own, model the problem, analyze it, solve it numerically, hand-in the complete solution written (or typed) precisely and logically and present this solution. You will be graded on the project for: mathematical writing, understanding concepts, presentation skills and listening to other presenters. Extra credit will be given for solutions typed using the Mathematics typesetting software LaTeX or other flavors of it.You will be assigned a time slot to make your presentation. There may be a quiz based on all presentations on the last day of class. Write-up of Projects is due by the day of the final exam, Thursday, May 1, 2008, 10:30am. More details will be discussed in due course of time.

Disclaimer: The requirements and policies may be modified as circumstances dictate. Such changes will be provided to you in class and in writing.

Schedule of  Lectures & Exams (Tentative):
Suggested Practice Problems
Hand-in Homework Problems
Due Date
Jan 8
1.0, 1.1, 1.2
P5/examples1,2; P7/1-10; P9/examples1-5; P15/1-10
P8/9,10; P16/4,5,8
Jan 15
Jan 10
MS Excel
Jan 15
P31/1f, 2h, 3b, 4c, 5,7,8,10
Jan 22
Jan 17
MS Excel P31/1-12
Jan 22
1.4, 2.2
P48/1-7; Read Sec 2.1; P74/1-5
Jan 29
Jan 24
Introduction to Mathematica® --
Jan 29
P79/Solved Ex 2, P84/7
Feb 12
Jan 31
Introduction to Mathematica® --
Feb 7
Feb 5
Mardi Gras Holiday ~ No class
Feb 7
Mathematica®: population dynamics
Read the Master Index
Feb 12
10.0, 10.1
Read P371-381 P379/3, 6d-g, 7c, 8
Feb 19
Feb 14
Mathematica®: population dynamics --
Feb 21 28
Feb 19
10.2, 10.3
Read P382-392
P389/4,5,8; P392/1
Feb 26
Feb 21
HW 09
Feb 28
Feb 26
Read P395 - P403
P402/1d,e, 3, 9, 11e Mar 4
Feb 28
Mathematica®: population dynamics --
Mar 6
Mar 4
P412-426 (Feel free to use Mathematica®)
P418/3,7,9c,d, P424/2,3,7
Mar 18
Mar 6
11.3 P428-435, class notes P436/5 (5e optional) Mar 25
Mar 11
Spring Break ~ No Class
Mar 13
Mar 18
Review for Exam 1
Mar 20
Review for Mathematica Exam
Mar 25
Exam 1
Mar 27
Mathematica Exam
Apr 1
Discussion of Exam, Assignment of Projects
Apr 3
Mathematica®: drug flow --
Apr 17
Apr 8
P258/ 2, 4c
Apr 15
Apr 10
P263/ 3, 4c Apr 17
Apr 15
P273/ 1, 2 Apr 22
Apr 17
Mathematica®: Chemotherapy --
HW 18 Apr 24
Apr 22

Apr 24
Student Presentations
Apr 29
No class
May 1
Write up of project due by 10:30am