Syllabus for MATH 442, SECTION 500, Fall 2009

Mathematical Modeling

Instructor: Dr. Peter Howard, Blocker 620D

Phone: 862-3459

Email: phoward@math.tamu.edu

Office hours: MW 3:00-4:00; R 1:30-2:30. Also, by appointment.

Class time and place: MWF 11:30-12:20, TBA.

Section web page: http://www.math.tamu.edu/~phoward/M442.html

Textbook: Suggested MATLAB text: An Introduction with Applications, 3rd Edition, by Amos Gilat. Also, students will be expected to download a considerable amount of material from the course web site.

Prerequisites: M304 (Linear Algebra) and M308 (Differential Equations), or consent of instructor.

Catalogue Description:  The construction of mathematical models from areas such as economics, game theory, integer programming, mathematical biology, and mathematical physics.

Course Goal: The main goal of the course is to introduce students to both deterministic and probabilistic techniques useful in the mathematical description of physical events and situations. The main topics will be regression analysis, dimensional analysis, modeling with ordinary differential equations, and discrete and continuous methods of probabilistic modeling. We will also work with two software packages, MATLAB for number crunching and LYX for typesetting reports.

Homework Assignments: An individual homework assignment will be made on most Fridays during the semester, due the following Friday. Individual assignments will depreciate by 5 points for each class period they are late for up to one week, at which time a 0 will be assigned.

Projects: Three projects will be assigned during the semester, each of which will be roughly two to four weeks in duration. The first project will be individual, the remaining two carried out in groups of two or three students, with the groups changing after the second project.  Projects will not be accepted late. 

Exams: There will be two exams during the semester, a midterm and a comprehensive final.  The midterm exam will be an evening exam, Wednesday October 28, 7-9 p.m. The final exam for this class will be on Wednesday December 16, 10:30 a.m.--12:30 p.m.. Please make a note of these dates.

Grades: Final grades will be determined in the following manner: Semester Projects: Individual: 10%, Group: 15% each; Homework assignments: 10%; Exams : 25% each. Grade ranges will be standard: 89.50-100, A; 79.50-89.49, B; 69.50-79.49, C, 59.50-69.49, D; below 59.50, F.

Make-up policy: Make-ups for exams will only be given if the student can provide a documented University-approved excuse (see University Regulations). According to University Student Rules students are required to notify an instructor by the end of the next working day after missing an exam. Otherwise the student forfeits his or her right to a make-up.

Scholastic Dishonesty: Copying work done by others, either in-class or out of class, is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. "An Aggie does not lie, cheat, or steal or tolerate those who do." Please refer to the Honor Council Rules and Procedures, available at the Office of the Aggie Honor System.

Copyright policy: All printed materials disseminated in class or on the web are protected by copyright laws. One xerox copy (or download from the web) is allowed for personal use. Multiple copies or sale of any of these materials is strictly prohibited.

Students with Disabilities: The following statement was provided by the Department of Disability Services: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, in Cain Hall, Room B118, or call 845-1637. For additional information visit http://disability.tamu.edu.

Class Schedule: Roughly speaking, we should cover the following material on the following schedule:
Week of Monday Material Covered
August  31
Introduction to MATLAB and LyX (Fri. Sept. 4 is last day for drop/add.)
September 7
Solving ODE with MATLAB
September 14
Curve fitting and parameter estimation
September 21
Dimensional analysis and non-dimensionalization (Dimensional Analysis project assigned Fri. Sept. 25.) 
September 28
Modeling with ODE  
October 5
Modeling with ODE (Dimensional Analysis project due Fri. Oct. 9, HIV project assigned.)
October 12
Analysis of ODE models
October 19
Analysis of ODE models
October 26
Review. Midterm Wed. Oct. 28, 7-9 p.m. 
November 2
Modeling with probability (Fri. Nov. 6 is last day for Q-drop.)
November 9
Modeling with probability (HIV infection project due Fri. Nov. 13, Hold'em project assigned.)
November 16
Modeling with probability
November 23
Modeling topics (Thurs.-Fri. Nov. 26-27 is Thanksgiving holiday.)
November 30
Modeling topics 
December 7
Review (Hold'em project due Monday, Dec. 7, last day M442 meets.)