PLEASE
CHECK THE CLASS WEBSITE REGULARLY FOR UPDATES AND ANNOUNCEMENTS

Computer
Assisted Math Modeling

(MA 354-101)

(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: jchampanerkar@jaguar1.usouthal.edu (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: http://www.southalabama.edu/mathstat/personal_pages/champanerkar/ma354-101.html

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)

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: jchampanerkar@jaguar1.usouthal.edu (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: http://www.southalabama.edu/mathstat/personal_pages/champanerkar/ma354-101.html

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)

Announcements:

Important Dates:

Last day to drop this class: Friday, April 4, 2008 (4:59pm).

No Final Exam.

Important Dates:

Last day to drop this class: Friday, April 4, 2008 (4:59pm).

No Final Exam.

Attendance:

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.

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.

Disabilities:

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.

Disclaimer:

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

Exams:

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.

Grading:

Your total score will be determined as follows:

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.

Disabilities:

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.

Disclaimer:

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

Exams:

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.

Grading:

Your total score will be determined as follows:

Homework |
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% |
F |

greater than or equal to 50% but
less than 60% |
D |

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% |
A |

Homework:

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

Project:

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):

Date |
Section(s) |
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 |
P15/1-10 |
-- |
-- |

Jan 15 |
1.3 |
P31/1-12 |
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 |
P48/4,6,7 |
Jan 29 |

Jan 24 |
Introduction
to Mathematica^{®} |
-- |
-- |
-- |

Jan 29 |
2.3 |
-- |
P79/Solved
Ex 2, P84/7 |
Feb 12 |

Jan 31 |
Introduction
to Mathematica^{®} |
-- |
HW05 |
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 |
-- |
HW07 |
Feb 21 28 |

Feb 19 |
10.2, 10.3 |
Read P382-392 |
P389/4,5,8;
P392/1 |
Feb 26 |

Feb 21 |
NO CLASS |
-- |
HW 09 |
Feb 28 |

Feb 26 |
10.4 |
Read
P395 - P403 |
P402/1d,e, 3, 9, 11e | Mar 4 |

Feb 28 |
Mathematica^{®}: population dynamics |
-- |
HW11 |
Mar 6 |

Mar 4 |
11.1,11.2 |
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 |
-- |
HW14 |
Apr 17 |

Apr 8 |
7.2 |
P258/1-4 |
P258/ 2, 4c |
Apr 15 |

Apr 10 |
7.3 |
P263/1-4,6 |
P263/ 3, 4c | Apr 17 |

Apr 15 |
7.4 |
P273/1-4 |
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 |