Math 411 - Class Outline

Information about the future is only speculative; only trust what has already happened.
Week Monday Wednesday Friday
1   8/19 - Class Introduction; Introduction to Modeling
Syllabus
8/21 - Model Categories; Box Model
HW#1 (due 8/28)
Chapter 1 version 1.0
2 8/24 - Box Model; Discrete Dynamical Systems; US Population
US Population Data
8/26 - DDS: Types & Solutions 8/28 - Qualitative Behavior Fixed points; Stability; Cob-Webs
HW#2 (due 9/4)
3 8/31 - Details for Qualitative Solution; Computation Solution Methods
Chapter 2 version 1.0
9/2 - Example 9/4 - Examples (systems, etc.)
HW#3 (due 9/11)
Solution #1
4 9/7 - Labor Day Holiday 9/9 - Last of DDS examples; Group Project begins
Group Project #1
Solution #2
9/11 - Stochastic Processes; Probability Basics
HW#4 (due 9/18)
5 9/14 - Markov Processes and Analysis
Solution #3
9/16 - Examples of Markov Processes
Chapter 3 Notes (incomplete; will update later)
9/18 - Evaluation of Markov Processes
Markov Examples
HW#5 (due 9/25)
6 9/21 - Examples of Markov Processes with Absorbing States 9/23 - Last Examples of Markov Processes 9/25 - Begin Continuous Deterministic Models; Differential Equations
Resources for Presentations - various resources; I highly recommend the "Tips ..." from ONR.
7 9/28 - Examples & Analysis
HW#6 (due 10/5)
9/30 - Group Project Presentations: 1. Sale, et. al; 2. Vaughan, et. al 10/2 - Group Project Presentations: 1. Johnson, et. al; 2. Underwood, et. al.
Project Report due by 5PM (electronic - pdf)
8 10/5 - Qualitative analysis: fixed points & stability 10/7 - Unitless Equations
Solutions #4 Solutions #5 HW #7
10/9 - Perturbation Methods
9 10/12 - Motion Models
Project #2 - Group Info
10/14 - Sample Model
10/16 - Fall Break
10 10/19 - FDIT
HW #8 (due 10/28)
FDIT Notes
10/21 - FDIT application: Traffic
Solutions #6 Solutions #7
10/23 - FDIT application: air flow/wave equation
11 10/26 - More FDIT apps 10/28 - Group Project #2 Presentations 10/30- Presentations continued
Project #2 report due by 5PM
12 11/2 - Continuous Stochastics (Single Transition)
Final Project Information
11/4 - Multiple Transitions (waiting in line) 11/6 - Birth & Death process
13 11/9 - 11/11 - Last of stochastics 11/13 - Random topics relevant for your project?
HW#9 (due 11/30) Final Project Description Due
14 11/16 - 11/18 - 11/20 -
15 11/23 - 11/25 - 11/27 - Thanksgiving Holiday
16 11/30 - 12/9 12:30-2:30 Final Oral Reports (#1)
TBA Final Oral Reports (#2)
12/9 - Final Written Report due by 5PM

ccollins@math.utk.edu
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