Mathematics for System Safety Analysis
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.
- Probability Theory
- Permutations and Combinations
- Bernoullie Process and Binomial and Multinomial Distributions
- Normal Distribution
- Poisson Process and Distribution
- Boolean Algebra
- Statistics and Failure Data Analysis
- Uncertainty Analysis Using Bayesian Method
Prerequisite: Attendees should have an engineering or hard science background.