# 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