BIOLOGY 301
COURSE OUTLINE |
|
|
Part A: Introduction
(1) Introduction
- Mathematical models in biology.
- Model construction.
- Example: Deriving the Hardy-Weinberg Law.
(2) Mathematica Basics
Part B: Models in One Variable
Examples to be used:
- Population growth (no density dependence)
- Population growth (with density dependence)
- Selection at one genetic locus
(3) Discrete-time Formulations
(4) Continuous-time Formulations
(5) Preliminary Analyses
- Iterating recursions
- Graphical analyses
(6) Analysing Linear Models in One-Variable
(7) Analysing Non-Linear Models in One-Variable
- Equilibrium states
- Stability of equilibrium states
- Global versus local solutions
Part C: Models in More than One Variable
Examples to be used:
- Red blood cell production
- Demographic models
- Competition between two species
- Spread of disease
(8) Formulating the Models
(9) Analysing Linear Models in More than One Variable
- Background: Linear Algebra
(10) Analysing Non-Linear Models in More than One Variable
- Equilibrium states
- Stability of equilibrium states
- Graphical methods
Part D: Probabilistic Models
Examples to be used:
- Sex ratio among offspring
- Fixation probability of a beneficial allele
- Genetic drift
(11) Introduction to Probability Theory
(12) Discrete probability distributions
(13) Continuous probability distributions
Back to biology 301 home page.