Prerequisites: Math 323 - Multi-Variable and Vector Calculus and Math 327 - Introduction to Linear Algebra.

Instructor: Timothy Peil, Ph.D.
Text: A First Course in Mathematical Modeling,2th Edition by Giordano, Weir, & Fox
Office: MacLean 365
Phone: 218-477-2454
FAX:  218-477-2984
Office Hrs: MF 9:00 - 9:50 & 11:00 - 11:50 & 1:00 - 1:50; TR 9:00 - 9:50; W 1:00 - 3:00
E-mail: peil@mnstate.edu
Web homepage: http://web.mnstate.edu/peil

General Information follows the tentative class schedule.

Date		Section		Topic
January 12		Ch. 2		The Modeling Process Read Chapter 2. Work: p. 40 #7 or 9 (Encouraged to work in groups.) Begin thinking about the first project -  Powerball.
14		Ch. 2		Work: p. 49 #4
19		Ch. 3		Modeling with Discrete Dynamical Systems Read Chapter 3 Work: p. 58 #1 - 3
21		3.1		Modeling Change with Difference Equations Work: p. 59 #7
24		3.2		Approximating Change with Difference Equations p. 67 #1, 6
26		3.3		Numerical Solutions p. 79 #1, 2, 4
28		3.3		p. 79 #7
31		3.4		Systems of Difference Equations p. 95 #3
February 2		More		Stability in Discrete Dynamical Systems p. 95 #2 (Also, do a stability analysis.)
4		More		Read Chapter Four 1st draft on first project due - hand in by e-mail. Powerball.
7		4.1		Proportionality p. 103 #2, 3, 4, 5
9		4.2		Vehicular Stopping Distance p. 109 #1 or 2
11		4.4		Geometric Similarity p. 117 #1, 2, 4, 5
14				Guest Lecturer
16		Ch. 6  & 7		Experimental Modeling; Simulation Modeling Read Chapters Six and Seven (For your own information, read Chapter Five.)
18		Ch. 6  & 7		Read Chapters Six and Seven (For your own information, read Chapter Five.) 2nd draft on first project due - hand in by e-mail. Powerball.
21		6.1 & 7.1		p. 175 #1; p. 224 #1
23				Discuss Powerball Projects
25		6.1, 7.1 & 7.2		p. 175 #2 - 5; p. 224 #3; p. 227 #1a, 2a
28				NO CLASS
March 3				First project oral presentations begin. Powerball. Hardcopy due.
10				Midterm Exam (tentative date)
20		7.3		p. 232 #1 & 2.
22		7.3		p. 232 #3 Write the program.
24		7.3		p. 233 #1 & 3 (Consider these problems.)
27		6.3		p. 187 #3
29				Be able to explain Longest Run for not 50%.
April 3				Read Chapter Thirteen: Dimensional Analysis and Similtude Work on your final projects.
5				No Class!!! I will be at a conference.
7				No Class!!! I will be at a conference.
10		13.1		p. 450 #1, 2, 3, 5
12		13.2		p. 460 #3, 4, 7
14		13.3		p. 467 #1, 2
17		13.4		p. 475 #1, 2, 7
20		13.5
April 24				Second project oral presentations begin.
May 8		12:00 noon		FINAL EXAM!!!!

FINAL EXAM: Noon May 8.

GENERAL INFORMATION: Mathematical Modeling is an introduction to developing techniques and analyzing mathematical descriptions of physical and economic phenomena.

Exam solution keys and resource materials will be posted at my web homepage. http://web.mnstate.edu/peil or through Moorhead State University's homepage.

Resources and tools which are available:
        1.    The Mathematics Computer Lab has many programs which you may find useful; MathCad, Macsyma, MatLab,    Derive, Excel, Geometer's Sketchpad, etc. Further, Mathematica is available on the computers in BR 357 (located in the northeast corner of the office area); you are welcome to use those machines if the door is locked ask the department secretary, a member of the department, or myself to unlock the door.
        2.     There are four TI-92 calculators which may be checked out from me; as well as three CBL's and three CBR's which may be used for experiments involving collecting real data.
        3.     The fourth floor of the library has many reference books available.

If you have any questions or problems, come in for help. If my office hours do not match your schedule, see me about arranging another time to meet. Also, you may e-mail me questions. A tutor room will be available in MacLean 362A.

Grades will be determined from assignments, projects, tests, and quizzes. Each person will be required to complete at least two projects, one of which may be a group project . Groups must consist of three or four individuals. Projects and assignments must be handed in by the due date; each day a project or assignment is late will result in a deduction of 10% per day. The projects are yours to choose; you may expand the exploration of a topic which we discussed in class, explore a topic of personal interest to you, or complete a UMAP module. An oral presentation for each project will be presented to the class.
        Project presentations begin:
            1.     March 3
            2.      April 24
There will be at least two exams (mid-term and final) each of equal value.

Grades will be assigned using lower bounds of 93 A; 90 A-; 87 B+; 83 B; 80 B-; 77 C+; 73 C; 70 C-; 67 D+; 63 D; 60 D-; and below 60% F.