M636 INTRODUCTION TO MATH MODELING

SYLLABUS

POLICIES

ASSIGNMENTS


        M636 MATH MODELING / Syllabus

Textbook
Mathematical Models: Mechanical Vibrations, Population Dynamics and Traffic Flow
Author: Richard Haberman
Publisher: SIAM Classics in Applied Mathematics
Office Hours: M W 2:30PM - 3:30PM GMCS 589

Cell Phones: Please turn off your cell phones during class. NO TEXTING.

Prerequisite: M254 & M337 or M342A & M342B or Aerospace Engineering 280.
Please present proof of completion (copy of unofficial transcripts would suffice) by
Monday, August 31, 2015.
Failure to to show proof of prerequisite will result in being dropped from class.


Course Outline

  1. Discrete Models
    • Population Dynamics
    • Linear Equations
    • Homogeneous Equations
    • Nonhomogeneous Equations
    • Qualitative Methods
    • Model Fitting

  2. Continuous Models
    • Carbon Dating
    • Drug Distribution
    • Mechanical Vibrations
    • Linearization and Stability
    • Qualitative Analysis


  1. Spatial Models
    • Reaction-diffusion models
    • Pattern Formation
    • Linear Stability Analysis
    • Proper Orthogonal Decomposition
    • Galerking Projections

  2. Stochastic Models
    • Gaussian White Noise
    • Colored Noise
    • Two Species Competition Model

  3. Final Exam / Projects

 

 

 

 

 

 


References

[1] MATLAB Tutorial: http://www.math.mtu.edu/~msgocken/intro/intro.html
   
[2] ODE Software for MATLAB
   
[3] Solving Population Models through Cobwebbing

 


Grading
Homework
35 %
Midterm Exam
30 %
Final Exam / Project
35 %
Grading Scale
A -- (minus)
90% and above
B -- (minus)
80% and above
C -- (minus)
65% and above
D -- (minus) 55% and above

*Note: Exam dates listed above are tentative and will be confirmed in class. The instructor reserves the right to change these dates if considered necessary.

  • Exams, Homework, and Quizzes are considered individual work. Copying someone else work is considered cheating and will be penalized.
  • Quizzes may or may not be announced. If a quiz is given at the beginning of class and you are late, you will not be able to take this quiz earlier.If a quiz is given at the end of the hour, you will not be able to take this quiz earlier.



Important Dates

Withdrawal (fees refunded) Day: September 4, 2015
Last Day of Classes December 10, 2015



Milk Splash