MATH495 Special Topics in Mathematics:  Mathematical Modeling

Fall 2006 - Class Pace/Assignments

Date and Time of Last Update to This Page: 09/27/10 03:04 PM


Up ] Class Syllabus ] [ Class Pace and Assignments ] Handy Documents ]

 

This page will be updated as we progress through the class so please check regularly for updates.

 

Assignments (in reverse chronological order)

 

Week & Date of Class

Assignment(s) Due/Quiz or Test Scheduled

Material Covered

Homework Problems

Week 14

W 12/13

Final Exam 8:00-10:30 a.m.

Open Book and Open Computer!

The final exam is comprehensive with an emphasis on material covered after the midterm exam.

Week 14

F 12/8

All "cults" write-ups due by beginning of class.

Final Project Written Reports Due

Review for Final Exam

Recall the Practice Homework from Chapter 5:  1 - 7, 10

You should also try working Project 5.9 on Predator-Prey Variations

Week 14

W 12/6

Team Presentations on Final Projects

Week 13

M 12/4

Team Presentations on Final Projects

Week 13

F 12/1

- Section 5.3.6:  The Classical Predator Prey Model

Week 13

W 11/29

One Paragraph Abstract of Final Presentation Due by Noon on Thursday 11/30

-Section 5.3.5:  Phase Plane Analysis

Week 12

M 11/27

- 5.2.6:  Systems of First-Order Homogeneous Linear Differential Equations with Constant Coefficients

Week 12

M 11/20

Hand-In Homework 5 Due by 5:00 p.m.

 

You should have decided on your Final Project Team members by this date.  The sooner you clear your Final Project choice with me the more time you will have to work on the project.

- More from Chapter 5:  Systems of Linear ODEs

Week 12

F 11/17

- Section 5.2.5:  Linear Differential Equations with Constant Coefficients.

- Final Project Directions are ready.  Final project presentation dates will be Monday, Dec. 4 and Wednesday, Dec. 6. 

Week 11

W 11/15

Project 5 Reports and Presentations Due

- Group Presentations.  Order to be decided by the roll of a fair die. 

Week 11

M 11/13

- Start Chapter 5 - Continuous Models

Section 5.2.1: Separable Equation

Section 5.2.2: An Example

Practice Homework from Chapter 5:  1 - 7, 10

Hand-In Homework 5 Due Monday, November 20 by 5:00 p.m.

Week 11

F 11/10

- In-Class Project Work Day

Week 10

W 11/8

- Comment on Project 4

- In-Class Project Work Day

Week 10

M 11/6

Hand-In Homework 4 Due

Download this file onto your desktop (you may want to save it also)

- Section 4.12 - An Introduction to Multiple Regression

Project 5: Work Project 4.13 on page 236 of the text.  This project will also require a 15 minute power point presentation by each group in addition to your written report.  Team members for this project are listed here.  Project Due Date and Presentation Date:  Wednesday, November 15. 

Week 10

F 11/3

- Section 4.10 - The Statistics of Linear Regression

Week 9

W 11/1

- More on nonlinear regression

Hand-In Homework 4:  Due Monday 11/6 beginning of class.

Week 9

M 10/30

Download this file onto your desktop (you may want to save it also)

Section 4.8: Nonlinear Regression - The Logistic Curve

Don't forget that I have assigned  practice homework from Chapter 4....

Week 9

F 10/27

Midterm Re-Work Due Beginning of Class

- In-Class Project Work Day

Week 8

W 10/25

Bring an Excel file to class with the data from Table 4.3 (page 170)entered into it.  Note:   Just enter the last two digits of the year variable. 

- Sections 4.3, 4.4, 4.6, and 4.7:  Understanding R^2 and Fitting other types of curves to data.

Project 4:  Work Projects 4.1 and 4.2 on pages 228 and 229 of your text.  Project Due Date is Wednesday, November 1, Beginning of Class.  Team Members are listed here

Week 8

M 10/23

- More on Sections 4.1 and 4.2, and 4.3:  Covariance, Correlation, Least Squares Regression, R^2

Practice Homework Problems from Chapter 4 (in Section 4.15): 1, 2, 3, 4, 5,  7, 8

Week 8

F 10/20

 

Midterm Exam - Open Book and Open Computer - Covers Chapters 1-3

 

Week 7

W 10/18

Project 3 Due Beginning of Class.

Also be sure to turn in your team self evaluations.

- Overview of Topics for Midterm Exam

- Sections 4.1 and 4.2:  Covariance, Correlation, and Least Squares Regression

- Sections 4.3, 4.4, and 4.5:

Understanding R^2

 

Week 7

F 10/14

 

- In-Class Work on Project Day

 

Week 7

W 10/11

 

- Cultural Points Day:  Special Guest Lecturer (Dr. Kyle Siegrist) on Markov Chains

 

Week 6

M 10/9

 

- In Class Work Day

 

Week 6

F 10/6

Hand-In Homework 3 Due (NOTE: New Due Date!!) - Section 3.8 -3.9: Fundamentals of Markov Chains, Copy Machine Dynamics (see Practice Homework Problems 6 and 7) Project 3: Work Project 3.6 California II on page 142 of the text.  Project Due Date is Wednesday, October 18.  Team Members are Listed Here

Week 6

W 10/4

  - More on Eigenvector and Eigen value Analysis (Section 3.6) You may want to download this MATLAB m-file for use in class.

Week 5

M 10/2

 

- Work on Hand-In Homework 3 In Class

 

Week 5

F 9/29

 

- Sections 3.6 and 3.7:   Eigenvector & Eigenvalue Analysis and a Staged Example

 

Week 5

W 9/27

 

- Sections 3.4-3.5:  Matrix Algebra, Applying Matrices to State Models

Hand-In Homework 3:  Due Friday 10/6  (NOTE: New Due Date!)

Week 4

M 9/25

Project 2 Due Beginning of Class

- Sections 3.1-3.3:  A Human Population Model, State Diagrams, and Equations from State Diagrams

Read Sections 3.4, 3.5, and 3.6 (up to Example 3.1 on page 114).

Practice Homework Problems (Section 3.13): 1, 2, 3, 4, 5, 6, 7, 9

Week 4

F 9/22

  - Section 2.3.4:  Analysis of Environmental Stochasticity and the Binomial Distribution (Section 2.3.2)  

Week 4

W 9/20

  - In-Class Work on Project Day  

Week 3

M 9/18

Bring your Stochastic Cranes Excel File to Class - Section 2.3.3:  Creating Stochastic Models: Demographic Stochasticity and the Normal Distribution (Section 2.3.2) Project 2:  Work Project 2.1. Stochastic Bobcats (page 93).  DUE Date:  Monday, 9/25, Beginning of Class.  Team Members are Listed Here.

Week 3

F 9/15

Hand-In Homework 2 Due

- Section 2.3.3:  Creating Stochastic Models: Environmental Stochasticity and the Uniform Distribution (Section 2.3.2)

- Read Section 2.3

- Use the Excel File (Stochastic Cranes) we generated in class today to try to recreate a plot similar to Figure 2.12 on Page 74 of your text. 

Week 3

W 9/13

 

- Section 2.2:  Measures of Center, Spread, Frequency Tables, Histograms, and Boxplots.

- Read Sections 1.2 and 2.2

- Practice Homework from Chapter 2:  Page 90 #1, 2, 3, 4, 5, 10(a)

Week 2

M 9/11

Project 1 Due Beginning of Class

- Section 2.1 and parts of Section 2.2:  An Introduction to Discrete Stochasticity - Stochastic Squirrels

- Use the Excel file we generated in class to complete Hand-In Homework 2 by Wednesday 9/13.  Bring your Excel file to class on Wednesday.

Week 2

F 9/8

 

- Section 1.5:  Variable Growth Rates and the Logistic Model

 

Week 2

W 9/6

 

- Finish Section 1.4:  More Analysis

- Please be sure to review the project requirements on the Handy Documents page for information on what is expected in your report and suggestions for how to organize the report.

Week 1

F 9/1

Homework 1 Due

- Start Section 1.4: Closed-Form Solutions and Mathematical Analysis

- Read Section 1.4

- See if you can understand the proof of Theorem 1.2 on page 23

- Practice Homework:  Page 38 (1.8 Exercises): 2, 3

- Project 1:  Work Project 1.3. Blood Alcohol Model starting on page 40 of the text.  Team Members are listed here.  DUE Date:  Monday, September 11, 2006, beginning of class.

Week 1

W 8/30

Easy Quiz 1 Due

-Sections 1.1 - 1.3:  Basic Recurrence Relations, Spreadsheet Simulations, Difference Equations

Reproduce the graphs in Figures 1.6 and 1.7 for the hacking chicks modification to the crane population model.

Week 1

M 8/28

Read Chapter 0 Before Class

- Review of Syllabus/Website

-  Cover Chapter 0 (which you should have read before coming to class today)

- Read Sections 1.1 - 1.3

- Easy Quiz 1 (Due 8/30)

- Homework 1  (Due 9/1)


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