Given the probabilistic elements that are to be dealt with as part of civil engineering
curriculum it is useful to undergo through this proposed course.
Introduction of this
course comprises several examples on various types of civil engineering problems
where the probability and statistics related concepts are used.
In the initial few lectures,
basic concepts on probability and random variables will also be covered in detail.
Various discrete and continuous probability distributions that are commonly used in
the fields of Structural engineering, Environmental engineering, Geotechnical
engineering, Water resource engineering, and Transportation engineering will be
presented in detail.
Topics such as statistics and their distributions will also be covered
with relevant examples, which will be useful when dealing with the experimental/field
data, which is a common thing in many branches of civil engineering.
This course also
covers hypothesis testing which is equally important when some conclusions are to be
drawn from the experimental/field data.
Contents:
Introduction; Random events;
Random variables: discrete and continuous random
variables;
Functions of random variables: Single random variables, multiple random
variables;
Probability distributions: discrete distributions, continuous distributions;
Random samples and statistics; statistical distributions; Parameter estimation;
Hypothesis testing.