After completing this chapter you should know......
How to construct a transition matrix from a transition diagram and vice versa?
How to construct a transition matrix to model the transitions in a population?
How to use a matrix recurrence relation, S0 = initial state matrix, Sn+1 = TSn, to generate a sequence of state matrices?
How to informally identify the equilibrium state or steady-state matrix in the case of regular state matrices?
How to use a matrix recurrence relation S0 = initial state matrix, Sn+1 = TSn + B to model systems that include external additions or reductions at each step of the process?
How do you use and interpret Leslie matrices to analyse population growth?
Lesson 1 - Setting up a transition (Ex 11a) & Interpreting a Transition (Ex 11b)
Learning Intentions
To be able to….
To be able to set up a transition matrix from a diagram or written information.
To be able to interpret a transition matrix and a transition diagram.
Tasks
Complete the worked solutions to the notes on Ex 11a and Ex 11b
Homework
Complete Ex 11a and 11b
Edrolo Link
Lesson 2 - Transition Matrices Using Recursion (Ex 11c)
Learning Intentions
To be able to….
use a matrix recurrence relation: S0 = initial state matrix, Sn+1 = T Sn, to generate a sequence of state matrices.
to informally identify the equilibrium state or steady-state matrix in the case of regular state matrices.
Tasks
Complete the worked solutions to the notes on Ex 11c
Complete Ex 11c
Homework
Complete Ex 11c
Edrolo Link
Lesson 3 - Transition Matrices (Ex 11d)
Learning Intentions
To be able to….
use a matrix recurrence relation S0 = initial state matrix, Sn+1 = T Sn + B to model systems that include external additions or reductions at each step of the process.
Tasks
Complete all of Ex 11d
Homework
Complete Ex 11d
Lesson 4 - Leslie Matrices (Ex 11e)
Learning Intentions
To be able to….
interpret Leslie matrices to analyse changes in population over time.
Tasks
Complete the worked solutions to the notes on Ch 11e
Homework
Complete Ex 11e
Lesson 5 - Work through exercises and practice
Learning Intentions
To be able to….
Practice Skills by completing exercises
Tasks
Complete exercise work
Homework
Ensure all work is up to date
Edrolo Link
Lesson 6 - Work through exercises and practice
Learning Intentions
To be able to….
Practice Skills by completing exercises
Tasks
Complete exercise work
Homework
Ensure all work is up to date
Edrolo Link
Lesson 7 -Work through exercises and practice
Learning Intentions
To be able to….
Use revision materia to consolidate skills
Tasks
Complete chapter 11 review
Homework
Complete Chapter 11 Review
Edrolo Link
Lesson 8 - Complete Chapter Review
Learning Intentions
To be able to….
Use revision materia to consolidate skills
Tasks
Complete chapter 11 review
Homework
Complete Chapter 11 Review