Chapter 1 Global Vision of the Project 4

2.4.2.8. MB108: Mathematical modeling

Learning outcome:

• 
  The modelling process
  

• 
  Differential modeling
  

* From natural phenomenon to mathematical model

* Differential models building

* Application to Mathematical Ecology

* Phase plane, equilibrium and linearization

* Stability and chaos transition

• 
  Discrete modeling
  

• 
  Basis on numerical methods
  

* Numerical linear algebra

* Curve fitting, interpolation

* Least square approximation for model identification

* Numerical differentiation and integration

• 
  Optimization models
  

Bibliography:

• 
  R. Haberman, "Mathematical models", SIAM edition, 1998
  

• 
  F. Giordano, M. Weir, W. Fox, "A first course in Mathematical Modeling"
  

• 
  W. Meyer, "Concepts of Mathematical Modeling"