M331 Introduction to Mathematical
Modeling
Fall 2002
Text: This course will be based on class notes. (available
on web or will be handed out in class)
Meeting times: MWF 11, EE-205.
Instructor: Professor
Kirby, Weber 115, kirby@math.colostate.edu
Office Hours: Monday 1:20-2:10;
Wednesday 10:00-11:00, Thursday 10:30-11:30.
Teaching Assistant: Amanda Fox, Weber 10, fox@math.colostate.edu
Office Hours: Monday, Wednesday,
Friday 12:00-12:50.
Prerequisite: M160; Co-Requisite: M161
WEB: http://www.math.colostate.edu/~kirby/teaching/m331/Fall2002/M331.htm
Topics Outline
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The Modeling Process
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Modeling with Discrete Dynamical Systems
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Modeling Using Proportionality
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Model Fitting
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Simulation Modeling
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Continuous Optimization Models
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Linear Programming
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Modeling with Differential Equations
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Probabilistic Modeling
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Dimensional Analysis and Similitude
Homework Assignments (Homework is due every Wednesday
-- no homework will be accepted after class ends.)
-
Homework number 1. Due Wednesday, Sept. 4, 1.1, 1.2, 2.1-2.6.
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Homework
number 1. Solutions
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Homework number 2. Due Wednesday Sept. 11. Problems 2.7, 2.8, 2.9,
2.10 (omit shipping costs but do include costs of
packaging material), 2.12, 2.13; 2.11
is extra credit
Grading
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Homework 40%
-
Group Project 10% (Groups will be formed later
in the semester)
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One hour exams (3) 30%: September 20, October
18, November 20.
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Final Exam 20%
Lecture Summary:
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Introduction to class: Overview
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Modeling with functions: supply/demand
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Graphical modeling: arms race, islands
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Modeling with proportions
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Heart rate of mammals
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Dimensional analysis