MATH 465 Spring 2008 Tentative Class Schedule
Session 1 (01/29): Nature of Models; Model Building; Collecting Tokens; A Simulation; Mathematical System
Session 2 (01/31): Axiom Systems & Models; A Mathematical Model for the Collecting Tokens Problem;
Models and Modeling; Types of Models
Session 3 (02/05): Mendelian Genetics - A Mathematical Model; A Tree Diagram
Session 4 (02/07): Some Kinds of Change; Growth of a Population of Flies; Bison Population in Yellowstone
Session 5 (02/12): Genetics Model Extended; Go to Computer Lab HS 150 (10:00 am - 10:45 am);
Session 6 (02/14): Mass of the Above Ground Portion of a Sorghum Plant over Time
Session 7 (02/19): Classifying Models for Growth Processes; (discrete-time, continuous-time, deterministic, stochastic)
Effects of Changes in Parameters, Change of Variables in Logistic Model;
Session 8 (02/21): Stable Points; Web Diagrams - Consideration of Section 2.2
Session 9 (02/26): Modeling the Number of Fish in a Pond; Estimating Parameters; Harvesting Fish;
Maximum Sustainable Harvest (Population); Minimum Viable population
Session 10 (02/28): A Glance at Social Choice; Preference Schedules; Voting and Elections
Session 11 (03/04): A Transportation Problem; Moving Mobile Homes; Excel Solution for a 2 x 3 Transportation Problem
Session 12 (03/06): Modeling Lynx-Hare Interaction (Introduction); Sample Data; A Model for Lynx-Hare Interaction;
Estimating Parameters for the Model; Sample Spreadsheet Model
Session 13 (03/11): A Sample Spreadsheet for a L-V Model; Data from a Stella Implementation of Model
Session 14 (03/13): Tossing Coins (Exercises 2.6: #1); Random Numbers; Random Number Algorithms;
A Simulation; Expected Number of Trials to Success; Some Notes on Series; Exercises 2. 6: #2
Session 15 (03/25): Introduction to Markov Chain Processes (MCP); Example of a MCP (Range of a Marmot)
Session 16 (03/27): Regular, Ergodic, & Absorbing MCP's;
Session 17 (04/01): More on Absorbing MCP's; Modeling Dynamic Change in a Raised Mire
Session 18 (04/03): Significance of Fundamental Matrix; Simulating Successional Changes in a Raised Mire;
Exploring Implications of a Model;
Session 19 (04/08): Review Some Theorems & Proofs Related to MCPs;
A Diet Problem: Introduction to Linear Programming (LP); Graphical Solution
Session 20 (04/10): Meet with your project group regarding your presentation.
Session 21 (04/15): Computer Solution for the Diet Problem; Some Applications of LP;
A Resource Allocation Problem; An Assignment Problem
Session 22 (04/17): Dual LP Problems; Graphical Solutions; Computer Solutions; Interpretation of Output
Session 23 (04/22): Primal & Dual Example; Another Transportation Problem (Transshipment; LP Formulation)
Session 24 (04/24): Work on presentations
Session 25 (04/29): Presentation (Katie F & Rachael L; CPM/PERT)
Session 26 (04/01): Presentation (Katie E & Matt L; Shortest Route Problem)
Session 27 (05/06): Presentation (Henry H, David L, and Nathan B; Epidemics & Rumors)
Session 28 (05/08):
Session 29 (05/15): Final Exam Due at 10:30 am
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Final Examination Due at 11:00 a.m. on Thursday, May 15