M336 INTRODUCTION TO MATH MODELING

SYLLABUS

POLICIES

ASSIGNMENTS


        M336 MATH MODELING / Syllabus

Textbook
Introduction to Mathematical Modeling
Author: Frederick R. Marotto
Publisher: ThomsonBrooks Cole


Course Outline

  1. Linear 1D Models
    • Discrete Dynamical Systems
    • Linear Equations
    • Homogeneous Equations
    • Nonhomogeneous Equations
    • Qualitative Methods
  2. Nonlinear 1D Models
    • Autonomous Equations
    • Cobwebbing
    • Fixed Points
    • Periodic Points
    • Bifurcations


  1. Linear Systems
    • Linear System Models
    • Dynamic behavior
    • Stability
    • Nonhomogeneous Systems
  2. Nonlinear Systems
    • Linearization
    • Bifurcation
    • Chaos
    • Fractals

 

 


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 %
2 Midterm Exams
40 %
Final Exam
25 %


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:  
Last Day of Classes  



Milk Splash