Math 311 Mathematical Modeling


Spring 2017

Any of the following pdf files can be viewed and/or printed using Adobe Acrobat Reader which is available as a free download.

Course Syllabus

Project Report Format and Grading

Tentative Homework Problems


DATE ASSIGNMENT
01/31
Summer Reading Program Preparation
Summer Reading Program Project   [Due 02/09]
Project_LibraryProgram_Data.xlsx
Mathematical Expressions with Microsoft Word Activity  
Mathematical Expressions with Microsoft Word Exercises  (Get a copy from the instructor)  [Due 02/07]
Introduction to Excel  [Exercises Due 02/07]
02/02
Continue working on the Library Project
02/07
Section 1.1 Excel Examples: Savings Account; Credit Card Balance
Section 1.1, p. 7:  #1-5(a,c), [7-9 set up DDS model], [10, 12, 13 set up DDS model and use Excel to iterate and answer questions.]  [Due 02/16]
Section 1.2 Ibuprofen Example
02/09
Library Project Presentations
Ibuprofen Example Data Only
Ibuprofen Example Completed
Section 1.2, p. 16 #1, 2[Use only 1790-2000 for your data to construct the model.  Then use your model to predict the population for 2010 and see how it compares.] [Due 02/21]
02/14
Aphid Infestation Example
Aphid Infestation Example Completed
More Single Population Modeling Applications  [Have worksheet completed by 02/16.  If you are confident in your carrying capacity - extinction threshold model, you can start working on the first 2 bullet points of the Homework Assignment on p.3.]
Section 1.2, p. 16: #(1,2), 6-8  [Due 02/21 -- #1-2 previously assigned, but #1 should have been on today's assignment since it is a constrained growth model.]  [Due 02/21]
[The rest of the assignment listed on the worksheet will be assigned later.]
02/16
Steps for iterating DDS on a TI-83/84
Equilibrium and Stability Preparation
Sections 1.2-1.3 Homework [But only part if it has been assigned -- see below.]
Section 1.2 Homework [Due 02/21]
Additional Assignments from Single Population Modeling worksheet [Due tbd  Not turned in.]
Section 1.3, p. 31:  #13, 14, 1(a,c), 2(b,d), 3(b, c, d)  [Due 02/28]
02/21
TV Purchase Example (Excel)
Nonlinear Examples Aphids and Chaos (Excel)
Section 1.3, p. 31:  #1(e, f), 2(g, h, i, k) 4(a,c), 6-9, 11  [See the Sections 1.2-1.3 Homework handout for details about the problems. [Due 02/28]
Rescale Section 1.3, p. 31 #14 to see what value of r is in the standard form a(n+1) = r(1-a(n))*a(n) for the 4 values of k given in the book.   [Due 02/28]
02/23
Two Species Population Model
No new homework.
02/28
Competing Species:  Foxes and Coyotes (Excel)
Population Migration:  City and Suburbs (Excel)
Section 1.4 Example, Homework, and Project [Homework Due 03/07] [Project Due 03/09]
03/02
Linear Algebra Homework  [Due 03/09]
03/07
Boyce & DiPrima Homework
03/09
wk1.4_EigenValuesAndStability.xlsx
Boyce & DiPrima Homework
03/14
Exam 1 Review Sheet
03/16
Exam 1 Solutions

Spring Break
03/28
Proportionality Graph Examples
Section 2.2, p. :  #1, 5, 8, 9, 11
03/30
Least Squares Criterion
No new homework
04/04
Finish Least Squares Criterion
Section 3.3, p. 125:  #2(a,c) [Don't find D, dmax, cmax], 7  [Due 04/13]
04/06
Section 3.3 Examples (Excel)
Least Squares Criterion for fitting a quadratic curve
Section 3.2, p. 125:  #4 10 [Due 04/13]
04/11
Linear Programming:  Geometric Solutions  [Have completed by Thursday 04/13]
Linear Programming:  Geometric Solutions (Graphs)
04/13
Section 7.2, p. 254:  #5, 7, 11, 1, 3 (Geometric)  [Due 04/25]
In-Class Example:  Finish determining whether the remaining 3 intersections are feasible or not.
04/18
Linear Programming:  Algebraic Solutions
Resolve problems #1, 3, 5 from Section 7.2 using the Algebraic Method  
[Due 04/25:  Turn in any 3 of the following 6 problems:   #1, 2, 4 from the worksheet ; 1, 3, 5 from the homework]
04/20
Building an Optimization Model with Solver
Linear Programming:  Excel Solver
Linear Programming Excel Solver Blank Template (Excel File) [Right click to save]
Sensitivity Analysis:  Maple Animations
Finish Linear Program:  Excel Solver Worksheet (Turn in Excel)  [Due:  tbd]
Use Excel Solver to Resolve problems #1, 3, 5, 7, 11 from Section 7.2  [Due:  tbd]
04/25
Linear Programming:  Sensitivity Analysis
Finish the worksheet.
Perform the Sensitivity Analysis for Section 7.2 #1, 3  [Due:  tbd]
04/27
Section 2.3, p. 90:  Problems #4, 5, Project #3, 7[Read Example 3]  [Due:  tbd]
05/02
wk2.5_HeightWeightData.xlsx
wk2.5_HeightWeightData_ExcelSolverWork.xlsx
Section 2.5 In-class Example and Homework  [Due:  tbd]

Final Projects:  Groups should discuss the project before class on Thursday.  Come with a starting plan and questions. 
Group 1:  Shane, Rachel, Daniel, Anne -- Planned Parenthood for Jumbo (Dumbo's Mom) icm2000data_correct.xlsx  
Group 2:  Johnny, Ismaeel, Hannah, Luis -- Weight Weight, Don't Tell Me body.dat.Project.xlsx
Group 3:  Aaron, Matthew, Geoffrey, Dana -- Trash Talk
05/09
Review for Exam 2
Work on Projects
05/11
Exam 2
Linear Programming Blank Template for Exam 2 (right-click to download Excel File)


Old Assignments/Quizzes/Exams Spring 2013

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