Singapore University of Social Sciences

Further Applied Probability (MTH306)

Synopsis

MTH306 applies the distribution functions and techniques of MTH305 to solve a variety of interesting problems related to real world scenerios.

Level: 3
Credit Units: 5
Presentation Pattern: Every July

Topics

  • Combined birth and death processes.
  • Applications of combined birth and death processes.
  • Queuing Theory.
  • Applications of Queues.
  • Epidemics.
  • Modelling infection.
  • More population models.
  • Realistic models.
  • Renewal models I
  • Renewal models II
  • Diffusion processes.
  • Diffusion models.

Learning Outcome

  • Examine probability models for practical situations and verify the properties of the models.
  • Compute birth and death process using various probability models.
  • Formulate queuing processes and models.
  • Test queue models with discouragement.
  • Solve the modelling of the spread of an infectious disease.
  • Implement two deterministic models for the growth of a population.
  • Illustrate conditions for stable and stationary populations.
  • Use renewal models and diffusion processes.
  • Construct and formulate a range of mathematical techniques to solve a variety of quantitative problems.
  • Formulate solutions to problems individually and/or as part of a group.
  • Analyze and solve a number of problem sets within strict deadlines.
  • Verify solutions related to applied probability using IT.
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