Skip to main content

Consortium for Mathematics and its Applications

Product ID: 99738
Supplementary Print
Undergraduate

The Hardy-Weinberg Equilibrium (UMAP)

Author: Steven Kolmes & Kevin Mitchell


This module uses elementary probability to show how genotypes in a population reach an equilibrium in a single generation, under appropriate conditions. Real data illustrate this concept, and conditions are examined that may keep a population from attaining an equilibrium. With completion of this module students will be able to: 1) model simple genetic inheritance with elementary probability; and 2) calculate genotypic and allelic equilibria using the Hardy-Weinberg model.

Table of Contents:

INTRODUCTION

BASIC TERMINOLOGY
Diploidy and Haploidy
Loci and Alleles
Homozygosity and Heterozygosity, Dominance and Recessiveness

SOME ELEMENTARY PROBABILITY
The Basic Laws
Independence
Using Punnett Squares

POPULATIONS
Gene Pools and Genotypic Frequencies
Allelic Frequencies
Examining Frequencies in Successive Generations

UNDERLYING ASSUMPTIONS
Males and Females Are Genetically Equivalent
Random Mating
No Immigration of Emigration
Mutations
Evolution
Population Size

THE HARDY-WEINBERG MODEL
The Hardy-Weinberg Equilibrium
Using the Binomial Expansion
More Than Two Alleles
More on Blood Groups
Still More on Human Blood Types

UPSETTING THE BALANCE
Genetic Diseases
Heterozygote Advantage
Hybridization

SOLUTIONS TO SELECTED EXERCISES

REFERENCES

ABOUT THE AUTHORS

©1999 by COMAP, Inc.
UMAP Module
38 pages

Mathematics Topics:

Algebra , Probability & Statistics , Abstract & Linear Algebra

Application Areas:

Life Sciences & Medicine , Genetics

Prerequisites:

Algebra; elementary probability; binomial theorem; quadratic equation

You must have a Full Membership to download this resource.

If you're already a member, login here.

Not yet a member?