M636 INTRODUCTION TO MATH MODELING

SYLLABUS

POLICIES

ASSIGNMENTS


      M636 Math Modeling / Assignments


No.
Topic
Section/Problems
Due Date: on each day
( No late homework )
ALL problems that involve plotting or tabulating iterations must be computer-generated.
Attendance: The instructor reserves the right to record class attendance and use it as part of the final grade. If lateness becomes a common problem, admission into the classroom may be refused. Please TURN OFF all electronic devices, cell phones and laptops, during class.

Academic Integrity
All work that you complete in this class should be your own. In particular, exams, homework, and quizzes, are considered individual work. Any form of cheating (including copying someone else work or allowing to be copied) will result in an "F" in the final grade of the course and a referral to the Dean for further action.
     
1. Discrete one-species models and exponential growth 32: 2, 3, 12
34: 3, 7, 14, 16
Wednesday, September 9
pledge_sheet
2. Density-dependent growth, qualitative methods (phase-plane), logistic equation 37: 2, 3, 5
38: 3,
39: 1,4
Monday, September 21
pledge_sheet
Population dynamics / model fitting. Data:
bacteria.dat
bombay.dat
doves.dat
duckweed.dat
houston.dat
kenya.dat
lupine.dat
usapop.dat
worldpop.dat
yeast.dat

MATLAB Codes:

algebraic_fit_exp.m

houston_fit.m

logistic_fit.m

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3.

Review (max 5 pages, single column, one side) of research article:

Leading Paragraph
Briefly describe the goal and main contributuions of the paper. Make reader become interested in the paper.
Technical Section
Describe the methodology, experimental data and derivation of relevant models. Discuss interesting results.
Conclusions
Summarize main ideas and results.

Download article
Wednesday, September 23
pledge_sheet
4. Linear Systems, Lotka Volterra Models 45: 1(b), 1(j), 1(k)
46: 4
49: 1
Wednesday, September 30
pledge_sheet
5. Qualitative Analysis of Competing Species Models 50: 8, 13
54: 2(a)-(d), 6, 11
Monday, October 12
pledge_sheet
6.

Review (max 5 typed pages, single column, one side) of research article:

Leading Paragraph
Briefly describe the goal and main contributuions of the paper. Make reader become interested in the paper.
Technical Section
Describe the methodology, experimental data and derivation of relevant models. Discuss interesting results.
Conclusions
Summarize main ideas and results.

Ansatz library for global modeling with a structure selection.


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Wednesday, October 14
pledge_sheet
 
Midterm Exam

I. In-class
Sections 32-54
(only those covered in class)

Monday, October 19
(no class October 21)
Wednesday, October 28
   
Pattern Formation

7. Stability Analysis of Pattern Forming Systems in Spatially Extended Models
Friday, November 13, 3PM
pledge_sheet
Greg Behm Code

Maple Code

Matlab Code
8.

Review (max 5 typed pages, single column, one side) of research article:

Leading Paragraph
Briefly describe the goal and main contributuions of the paper. Make reader become interested in the paper.
Technical Section
Describe the methodology, experimental data and derivation of relevant models. Discuss interesting results.
Conclusions
Summarize main ideas and results.

Review of article: Emergence and Evolution of Patterns

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Monday, November 16
pledge_sheet
9. Computational Work: Pattern formation on a Discrete 2D Model
Monday, November 23
pledge_sheet
10.

Review (max 5 typed pages, single column, one side) of research article:

Leading Paragraph
Briefly describe the goal and main contributuions of the paper. Make reader become interested in the paper.
Technical Section
Describe the methodology, experimental data and derivation of relevant models. Discuss interesting results.
Conclusions
Summarize main ideas and results.

Review of article: Cellular pattern formation in circular domains

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Monday, November 30
pledge_sheet
  Stochastic Models  
 
FINAL EXAM

I. In-class
Spatially Extended Models

Wednesday, December 2
(no class November 30)
II. Take home
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Wednesday, December 9, 4PM




Milk Splash