University of Southern California The USC Andrew and Erna Viterbi School of Engineering USC
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MATH Course

Course Description
Objectives
Who Should Attend
Course Outline
Course Duration


Mathematics for System Safety Analysis


Course Description:

This course is focused on the mathematics used in system safety analysis.  The purpose of this course is to provide the trainees with a working understanding of the mathematical theories underlying system safety analysis.  From this course, the trainees will be able to properly interpret the results of a system safety analysis and use it in their intended applications.  The course will begin with the fundamentals of probability theory and will cover the uses of that theory for solving various system safety problems.  Statistical methods will also be covered in relations to establishing equipment failure frequencies.  System safety examples will be used throughout the course.  Each student should bring a calculator with statistical functions.

Objectives:  To provide a level of understanding of the mathematical concepts used in conducting system safety analyses.

Who Should Attend:  Individuals who intend to take the system safety course or would like to enhance their understanding of the fundamental mathematical theories used in system theory.

Course Outline

  1. Probability Theory
  2. Permutations and Combinations
  3. Bernoullie Process and Binomial and Multinomial Distributions
  4. Normal Distribution
  5. Poisson Process and Distribution
  6. Boolean Algebra
  7. Statistics and Failure Data Analysis
  8. Uncertainty Analysis Using Bayesian Method

Prerequisite:  Attendees should have an engineering or hard science background.

Course Duration:  3.0 Days

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