Probability Theory and
Mathematical Modelling: A Primer
Readings: Chp. 1 (Hamilton)
algebra review sheet (download from course website)
If you struggle with this material, read the following sections in Introduction to Population
Genetics by Richard Halli

BIO3119 Practice problems - 2015
This is a set of problems to help you practice for the final exam. These will not count towards your
mark in the course and are not to be submitted. Answers are provided at the end. Please do not
distribute. Please note th

Population structure
(subdivision) and gene flow
Hamilton Chp. 4.1 - 4.5 (skip 4.2)
Practice: Problem 4.2 & 4.4
Interact boxes 4.2 - 4.5
Reminder: correct typos in book!
Learning objectives
Population subdivision:
explain why population subdivision cause

Genetic Drif
Hamilton chapter 3.1 - 3.4
you are not responsible for the mathematics of the Markov chain
model nor Diffusion approximation in section 3.2
Your conceptual understanding of two models of drift (binomial
sampling and Markov chain) might be i

Probability Theory and
Mathematical Modelling: A Primer
Readings: Chp. 1 (Hamilton)
algebra review sheet (download from course website)
If you struggle with this material, read the following sections in Introduction to Population Genetics by
Richard Halli

Mutation
Hamilton 5.1-5.4
Interact boxes 5.1, 5.2, 5.4
Learning outcomes
By the end of this section you should be able to:
describe the different types of mutations, the importance of mutation to genetic variance, and be
comfortable with the different wa

Fixation & inbreeding
Chp. 2.5 & 2.6 in Hamilton
(note typos in Fig. 2.12)
Learning objectives
define the inbreeding coefficient in terms of Pr(ibd) and calculate it from pedigrees
solve for genotype frequencies under inbreeding
show mathematically tha

Mathematical modeling
How we see the world
1
Mathematical modeling
How a mathematician sees the world
K N
dN
rN
K
dt
2
Mathematical models are a simplification of
reality that can be used to clarify
hypotheses/assumptions and make
predictions.
Thi

Hardy-Weinberg
Readings: Hamilton 2.1 2.4
(Strongly) suggested practice:
Problems 2.1 & Interact box 2.2
1
Learning outcomes
By the end of this section you should:
Be able to calculate expected HW genotype frequencies for
autosomal and sex-linked loci
B

Mapping Genes Associated with
Human Disease
No readings from Hamilton.
If youre confused, Chp. 4.4 & 4.5 in Introduction
to Population Genetics by R. Halliburton (on course
reserve in Morisset) is a good reference.
1
Learning outcomes
By the end of this s

Recombination, Physical Linkage, &
Linkage Disequilibrium
Readings Hamilton section 2.7
1
Learning objectives
By the end of this section you should be able to:
explain what gametic disequilibrium is, how physical linkage
contributes to this, and know how

Introduction to Population
Genetics
BIO 3119
Fall 2016
Instructor: Howard Rundle ([email protected])
1
Who am I
Professor in Dept. of Biology (started in 2006)
MSc & PhD from UBC, postdoctoral fellowships at Simon Fraser U and U.
Queensland in Brisbane,

Problem Set # 1 Math review - Due Friday, September 16
Instructions:
This is the first of six problem sets that will count towards your final grade. The problem
set is due at the start of lecture on Friday, September 16th. You may work in groups of
up to

Hardy-Weinberg
Readings: Hamilton 2.1 2.4
(Strongly) suggested practice:
Problems 2.1 & Interact box 2.2
1
Learning outcomes
By the end of this section you should:
Be able to calculate expected HW genotype frequencies for
autosomal and sex-linked loci
B