Math 483                                                      Fall 2007 
                          Mathematical Modeling 
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Text:             
		  Math Models in Population Biology and Epidemiology," 
		  Brauer  & Castillo-Chavez 
		   
Syllabus:         
		  Chapters 1, 3 through 8. In addition, if time permits
		  we will cover a few additional topics, e.g., models
		  for HIV/AIDS and Stochastic models for real-life phenomena. 

Course Coverage:
		  a) Qualitative Analysis of Single-Species Continuous Population Models
		  b) Continuous Single-Species Population Models with Delays
		  c) Qualitative Behavior of Linear systems
		  d) Continuous Models for Two Interacting Populations
		  e) Harvesting in Two Species
		  f) Mathematical Epidemiolgy
		  g) Models for Populations with Age Structure
		  h) Mathematical Models for HIV/AIDS
		  i) Stochastic Models
		  j) Ergodic Theory for Markov Processes


References:     
		  "An Introduction to mathematical Biology," 
		  Yeargers, et. al.

		  "Population Biology," A. Hastings

		  "Dynamics of Complex Systems," Bar-Yam

		  "Elementary Probability Theory," K.L. Chung

		  "Mathematical Modeling," Meerschaert

		  "An Intro. to Stochastic Modeling," Taylor & Karlin

		  "Theory of Heart," Glass et al

		  "Math Biology I: An Introduction,"
		  Murray 
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Grading:          
        Homeworks                                           10%
        Midterm                                             20%
        Projects                                            40%
        Final Exam                                          30%
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Remarks:  
	  a.  To pass this class you must complete at least 50% of the 
	      course work.
          
	  b.  There will be no make up exams. (In case of an emergency
	      contact me immediately.)
	  
	  c.  Late homeworks or projects will not be accepted.
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