Probability Methods in Civil Engineering

Start Date
01/07/2018

End Date
08/09/2018

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Enrollments
23 students

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Created by

Rajib Maity
IIT Madras
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Course Language
English
Course Type
Scheduled
Video transcripts
Course Category
Mathematics
Learning Path
Post graduate
Course Length
0 Hours
Weekly time commitments
0 Hours
Course Completion
Exam Date
To be announced
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42

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Overview

Concept of probability and statistics is very important to solve various civil engineering problems. In this course, basic probability concept and different probabilistic models will be discussed. Concept and definition of random variables and different functions of random variables will be covered in the initial part of the course. Afterwards, focus is given to commonly used probability distribution functions in civil engineering. Discussions on statistics and sampling are presented towards the last part of the course. In this part, goodness of fit tests, regression and correlation analyses, estimation of distribution parameters from statistics, hypothesis testing and their significance will be discussed. Each topic is discussed with reference to different application problems and their solutions in different fields of civil engineering, such as Structural Engineering, Transportation Engineering, Water Resources and Environmental Engineering, Geotechnical Engineering etc.

 

INTENDED AUDIENCE

Core Course and students of BE/ME/MS/MSc/PhD. 

 

PRE-REQUISITES

Basic Knowledge of Probability and Statistics 

 

COURSE LAYOUT

Weekwise topics

Random events, Probability, Set Theory, Assignment

Axioms of Probability, Assignment

Random Variables, Probability Distribution Functions

Cumulative Distribution Functions, Descriptors of random variables, Assignment

Probability Distribution of discrete and continuous random variables, Assignment

Probability Distribution of continuous random variables, Assignment

Functions of Random Variables, Assignment

Common Probability Models, Normal, Log Normal and exponential distributions

Gamma and Extreme value distributions, Assignment

Sampling distribution, Parameter Estimation, Assignment

Hypothesis testing, Goodness-of-fit tests, Assignment

Regression Analysis, Assignment

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Faculty

Rajib Maity


Dr. Rajib Maity is Associate Professor of Department of Civil Engineering, Indian Institute of Technology, Kharagpur, India. His research area includes hydroclimatology, stochastic hydrology, climate impacts on water resources, hydrologic time series analyses and forecasting etc.

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