Syllabus

The Failure Spectrum

Lecture Notes #1 – Definitions

Lecture Notes #2 – Combinatorial Methods to Compute Probabilities

Lecture Notes #3 – Foundations of Probability Theory

Lecture Notes #4 – Random Variables

Lecture Notes #5 – Moments of a Random Variable

Lecture Notes #6 – Conditional Probability

Lecture Notes #7 – Functions of a Random Variable

Lecture Notes #8 – Functions of Multiple Random Variables

Lecture Notes #9 – Definitions of Risk

Lecture Notes #10_- First Order Reliability Method

Lecture Notes #11 – Mean Time to Failure

Lecture Notes #12 – Fault/Event Trees

Lecture Notes #13 – Demand-to-Capacity Models

APPENDICES

Infamous Failures of Engineering Systems

What is a System?

Pepys – Newton Letter

Weibull Random Variable

Extreme_Value_distributions_Types_1_2_3

From Bernoulli to Poisson

Special Probability Distributions

ASSIGNMENTS

Assignment 1

Assignment 2

Assignment 3

Assignment 4

Assignment 5

CLASS HANDOUTS

Handout #1

Handout #2

Handout #3 – Examples of Functions of RVs