Math 620
Applied Mathematics

Instructor

Ernest Boyd, Wissink 273, 389-1452
Office Hours:

Textbook

Desktop published notes by the instructor

Course Content

Applications of nonlinear continuous and discrete dynamical systems and their mathematical analysis. Problems taken from the natural sciences, economics and operations management.

Schedule

Noon - 12:50 pm, MTR, Academic Computer Center Room 116
Two hour tests to be arranged. Final exam is Monday, May 8, 10:15 am - 12:15 pm.

Grading Policy

Each test will be graded on its own scale normalized to 100%. The final will also be graded on a scale normalized to 100%. All of the homework and quizzes collected will be totaled and graded as one test. At the end of the semester the four grades will be averaged and compared to the average of the scales. Grading will reflect the mathematical correctness of the answer and the quality of the presentation in terms of completeness and organization. Late assignments will be penalized. Active participation in the class discussions will also be factored into the evaluations.

MSU provides students with disabilities reasonable accommodation to participate in educational programs, activities or services. Students with disabilities requiring accommodation to participate in class activities or meet course requirements should first register with the Office of Disability Services, located in 0132 Memorial Library, telephone 389-2825, TDD 711 and then contact me as soon as possible.



Mathematica Supplements

  1. Basic Example of Differentiation and Integration
  2. Logistic Equation
  3. Competition Model
  4. Lotka-Volterra Predator-Prey Model
  5. Lotka-Volterra Predator-Prey Model in Dimensionless Form
  6. Measuring Periodicity in the Lotka-Volterra Predator-Prey Model
  7. Picard Iteration Method
  8. Van der Pol Oscillator
  9. Pendulum without driving force
  10. Pendulum with driving force
  11. Lorenz Butterfly
  12. Discrete Time Dynamical System using Function Iteration
  13. Bifurcation Diagram for Discrete Time Dynamical System
  14. Shooting Method for Two-Point Boundary Value Problem
  15. Harvesting a Renewable Resource
  16. NASA Bioreactor
  17. Graeme Caughley's Model
  18. Double Pendulum


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