Lecture Details :
Probability Methods in Civil Engineering by Prof. Rajib Maity, Department of Civil Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Course Description :
Introduction : Role of Probability in Civil Engineering Problems; Examples.
Random Events : Definition of basic random events; Application of set theory in definition of composite event operations;
Probability of events and definition of probability axioms; Solution of real life examples from civil engineering.
Random Variables : Definition of random variables - discrete and continuous;Probability definitions - PMF, PDF, CDF;Moments and expectations.
Functions of Random Variables : Definition of probability distributions of functions of single random variables - exact methods and approximate methods;Moments and expectations of functions - direct and indirect methods.
Multiple Random Variables : Definition of joint, marginal, and conditional probability distributions;Definitions of moments and expectations, including the definition of correlation coefficient;Functions of multiple random variables.
Common Probability Models : Discrete random variables - binomial distribution, Poissonís distribution;
Continuous random variables - exponential distribution, gamma distribution;
Central limit theorem; Normal and lognormal distributions; Extremal distributions.
Statistics and sampling : Goodness of fit tests; regression and correlation analyses; estimation of distribution parameters from statistics;
Hypothesis testing and significance; Bayesian updating of distributions.
Other Resources :
Other Civil Engineering Courses
- Soil Mechanics by IIT Bombay
- Transportation Engineering II by IIT Roorkee
- Advanced Hydrology by IIT Kanpur
- Performance of Marine Vehicles At Sea by IIT Kharagpur
- Soil Dynamics by IIT Bombay
- Numerical Methods in Civil Engineering by IIT Kharagpur
- Environmental Air Pollution by IIT Kanpur
- Engineering Geology by IIT Kharagpur
- Geosynthetics and Reinforced Soil Structures by IIT Madras
- Structural Analysis II by IIT Bombay
» check out the complete list of Civil Engineering Video lectures
Civil Engineering Lecture Notes