01/29

Linear and nonlinear difference equations applied to a single species,
equilibrium points, stability, periodic orbits, cobweb diagrams.

02/05

Linear and nonlinear differential equations applied to a single
species, exponential growth, the logistic equation,
equilibrium points, stability, harvesting.

02/12

Linear and nonlinear difference equation models of two interacting
species, equilibrium points, asymptotic behavior,
introduction to matrix algebra.

02/19

More matrix algebra, eigenvalues and eigenvectors, determinant,
characteristic polynomials, PerronFrobenius theorem,
diagonalization, basis vectors, applications to population interactions.

02/26

Leslie models, genetics models of autosomal inheritance, age
stratification in a population.

03/05

Numerical taxonomy.

03/12

Genetic drift, sexlinked genes.

03/19

Differential equation models of two interacting populations, models of
epidemics, vector
field diagrams, nullclines, invariant regions, equilibrium points,
stability, stable and unstable manifolds.

03/26

Spring break.

04/02

Evolutionary ecology, optimal phenotypes.

04/09

Muscle mechanics

04/16

Plant growth analysis, allometry, curve fitting.

04/23

Models of biochemistry and physiology, chemical kinetics,
ligandreceptor interactions, parameter estimation, Hill plots,
a model of dialysis.

04/30

Phyllotaxis and the Fibonacci sequence.

05/07

Models of spatial distributions, the game of life, random walks.
