Math 280-24   Mathematical Modeling          Spring 2007
Instructor	Office	Phone	Hours
Jimmie Lee Johnson	A. A. Robin Campus Schaumburg, Illinois Room 153	(847) 619-7939 Shared Voice Mail	Th 5:00-6:30pm and by appointment.
6:30-9:00pm Classroom SCH 706	Auditorium Campus Chicago, Illinois Room 416	(312) 341-3552 Voice Mail	Only by appointment.
	E-mail:  jjohnson@roosevelt.edu Web Page:  http://faculty.roosevelt.edu/jjohnson/

Text: A First Course in Mathematical Modeling. Frank R. Giordano, Maurice D. Weir, and William P. Fox, 3rd ed. Brooks/Cole 2003, ISBN 0-534-38428-5. A TI-83+ graphing calculator or better is expected.

Prerequisite: Grades of C or better in Math 231 Calculus I .

Class will consist of discussions, quizzes, examples, and the answering of questions. Prior to each class, you must do the assigned reading or you will be lost; make notes of topics you feel need elaboration in class. You are responsible for all assigned reading even if it is not discussed in class.  Class will usually include
     1. a short quiz each week;
     2. now and then, a short oral presentation of current material by selected students;
     3. discussion of new material via examples and the answering of questions.

Quizzes will be given each week beginning February 1st except for the weeks of the exams. The quizzes will be closed book, and will count for 15% of your grade. The two lowest quiz grades will be dropped. No make-ups; a missed quiz will count as one of the dropped grades.

Homework will be collected, discussed, graded and returned; please leave the assignment on the instructor's desk whether I ask for it or not. Homework will count for 15% of your grade. Late homework may be downgraded, if it is later than a week, but it is still worth more than no credit at all.
Projects: Three projects are expected. The use of Maple 10 or 11 is heavily recommended. Clear expression of your ideas and strategy are quite important. The average of the project scores will count for 10% of your grade. However, extra credit is also available. These project reports may be used for assessment of your mathematical writing. See the rubric for this assessment.

Exams will be given on March 8th and April 12th. These will be closed book. Their average will count for 30% of your grade. No make-ups except for excused absences with advance notice. The grade on the subsequent exam will be used for both.

Final Examination will be given on Thursday, May 10th, closed book and comprehensive. It will normally count for 40% of your grade.

Grades: Regulations covering grades (especially I and W) are on pages 254-256 of the 2006-2008 Undergraduate Catalog or on pages 203-205 of the 2005-2007 Graduate Catalog. Incompletes will not be given, except to a student who has done passing work up to the Final Examination (including most of the homework) but misses the final exam because of an excused absence with advanced notice. The last day to drop a class (with a grade of "W") is Friday, March 23rd, and the drop form must be submitted to the Registrar's Office. Anyone registered after that must be graded solely on academic performance.

---

Objectives: The student is expected to learn the rudiments of modeling using mathematical ideas. For assessment purposes, copies of some graded homework assignments and exams of each student will be placed in a file in the school office. Further review of these materials for assessment purposes will not affect the student's standing.

Syllabus

Date	Sections	Topics -  changeable
January 25	1.0 1.1 1.2	Introduction Modeling Change with Difference Equations Approximating Change with Difference Equations
February 1	1.3 1.4	Solutions to Dynamical Systems Systems of Difference Equations
February 8	2.0 2.1 2.2	Introduction Mathematical Models Modeling Using Proportionality
February 15	2.3 2.4 2.5	Modeling Using Geometric Similarity Automobile Gasoline Mileage Body Weight and Height, Strength and Agility;
February 22	3.0 3.1 3.2	Introduction Fitting Models to Data Graphically Analytic Methods of Model Fitting
March 1	3.3 3.4	Applying the Least Squares Criterion Choosing a Best Model ;  Review
March 8	Exam #1	Chapters 1, 2, 3. Lecture
March15	No Class	Spring Vacation!
March 22	4.1 4.2	Harvesting in the Chesapeake Bay and Other Models High-Order Polynomial Models
March 29	4.3 4.4	Smoothing: Low-Order Polynomial Models Cubic Spline Models
April 5	5.1 5.2	Simulating Deterministic Behavior Generating Random Numbers;  Review
April 12	Exam #2	Chapters 3, 4, 5.1-5.2.
April 19	5.3 5.4 5.5	Simulating Probabilistic Behavior Inventory Model: Gasoline and Consumer Demand Queuing Models
April 26	6.1 6.2 6.3	Probabilistic Modeling with Discrete Modeling Modeling Component and System Reliability Linear Regression
May 3	7.1 7.2	Overview of Discrete Optimization Modeling Linear Programming I: Geometric Solutions:  Review
May 10	Final	Comprehensive.

This page is at http://faculty.roosevelt.edu/jjohnson/Spring2007/M280S07.htm and was last revised January 18, 2007.