Nov 23, 2024  
2016-2017 Undergraduate Academic Catalog 
    
Catalog Navigation
  Catalog Home
  Academic Calendar
  University Overview
  Enrollment Management Department
  Academic Regulations and Policies
  Student Financial Services
  Academic Departments, Undergraduate Degree Programs, Minors and Certificates
  Degree Programs, Minors and Certificates
  Reserve Officer Training Corps (ROTC)
  Course Descriptions
  Board of Regents, Academic Administration, Faculty and Advisory Committees
  Campus Map
  Student Resources
  My Portfolio
HELP
2016-2017 Undergraduate Academic Catalog [ARCHIVED CATALOG]

Facebook this Page (opens a new window)
Tweet this Page (opens a new window)
Add to Portfolio (opens a new window)

MA 3710 - Mathematical Biology

3 lecture hours 0 lab hours 3 credits
Course Description
This course is an overview of several techniques used in the development and analysis of mathematical models that illustrate various biological processes. The topics covered involve applications of ordinary and partial differential equations, dynamical systems and statistical analysis. Applications include population models, infectious disease and epidemic models, genetics, tumor growth and DNA sequencing. (prereq: MA 235 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Interpret biological assumptions in terms of mathematical equations
  • Construct mathematical models to illustrate a biological processes
  • Write computer simulations for a biological model
  • Analyze a model numerically and graphically
  • Find equilibria of system of equations
  • Perform local stability analysis
  • Solve counting problems involving the addition and multiplication rules, permutations, and combinations
  • Calculate discrete probability
Prerequisites by Topic
  • Know the techniques of limits, differentiation, and integration
  • Be able to determine the solution of first-order differential equations by the method of separation of variables
  • Be able to determine appropriate integrating factors for first-order linear differential equations
Course Topics
  • Introduction to Mathematical Biology
  • Constructing a model
  • Exponential and Logistic Growth
  • Population-genetic models
  • Models of interaction among species
  • Epidemiological models of disease spread
  • Matlab Review
  • Numerical and graphical techniques
  • Finding equilibrium
  • Performing local stability analysis: one variable model
  • Finding an approximate equilibrium
  • Matrices, Eigenvalues, Eigenvectors
  • Performing local stability analysis: Non-linear models with multiple variables
  • Counting principles: Addition and Multiplication Rules
  • Permutations
  • Combinations
  • Arrangements with repetitions
  • Probability
  • Conditional probability and independence of events
Coordinator
Kseniya Fuhrman


Facebook this Page (opens a new window)
Tweet this Page (opens a new window)
Add to Portfolio (opens a new window)