Download Further Applied Probability

MTH306 Further Applied Probability
Level: 3
Credit Units: 5 Credit Units
Presentation Pattern: EVERY JULY
Synopsis:
MTH306 applies the distribution functions and techniques of MTH305 to solve a variety of interesting
problems related to real world scenerios.
Topics:
ƔCombined birth and death processes.
ƔApplications of combined birth and death processes.
ƔQueuing Theory.
ƔApplications of Queues.
ƔEpidemics.
ƔModelling infection.
ƔMore population models.
ƔRealistic models.
ƔRenewal models I
ƔRenewal models II
ƔDiffusion processes.
ƔDiffusion models.
Learning Outcome:
ƔExamine probability models for practical situations and verify the properties of the models.
ƔCompute birth and death process using various probability models.
ƔFormulate queuing processes and models.
ƔTest queue models with discouragement.
ƔSolve the modelling of the spread of an infectious disease.
ƔImplement two deterministic models for the growth of a population.
ƔIllustrate conditions for stable and stationary populations.
ƔUse renewal models and diffusion processes.
ƔConstruct and formulate a range of mathematical techniques to solve a variety of quantitative
problems.
ƔFormulate solutions to problems individually and/or as part of a group.
ƔAnalyze and solve a number of problem sets within strict deadlines.
ƔVerify solutions related to applied probability using IT.
Assessment Strategies:
Continuous Assessment Component
COMPUTER MARKED ASSIGNMENT
COMPUTER MARKED ASSIGNMENT
COMPUTER MARKED ASSIGNMENT
Sub-Total
Weightage (%)
10
10
10
30
Examinable Component
Weightage (%)
Page 1 of 2
Examinable Component
Written Exam
Sub-Total
Weightage Total
Weightage (%)
70
70
100
Page 2 of 2