Modeling and Dynamics

Department: 
MATH
Course Number: 
6705
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Every fall semester

Mathematical methods for solving problems in the life sciences. Models-based course on basic facts from the theory of ordinary differential equations and numerical methods of their solution. Introduction to the control theory, diffusion theory, maximization, minimization and curve fitting.

Prerequisites: 

RESTRICTED to biology, bioinformatics, biomedical engineering, bioengineering, and chemistry students. Graduate students in other majors cannot take this course. Math majors may not use this course toward any degree in the School of Mathematics.

Course Text: 

No text

Topic Outline: 
  • Discrete Dynamics
  • Stationary and Periodic States
  • Their Stability
  • Compartment Models
  • Ordinary Differential Equations
  • Diffusion
  • Circular Reactions
  • Oscillations and Regulation
  • Laplace Transform
  • Numerical Methods
  • Curve Fitting
  • Method of Least Squares
  • Partial Differential Equations