# Probability Methods in Civil Engineering

By Prof. Rajib Maity   |   IIT Kharagpur
Learners enrolled: 845

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.

PREREQUISITES: Basic Knowledge of Probability and Statistics

INDUSTRY SUPPORT: Nil
Summary
 Course Status : Completed Course Type : Core Duration : 12 weeks Category : Civil Engineering Credit Points : 3 Level : Undergraduate/Postgraduate Start Date : 24 Jan 2022 End Date : 15 Apr 2022 Enrollment Ends : 07 Feb 2022 Exam Date : 24 Apr 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

### Course layout

Week 1: Random events, Probability, Set Theory, Assignment
Week 2: Axioms of Probability, Assignment
Week 3: Random Variables, Probability Distribution Functions
Week 4: Cumulative Distribution Functions, Descriptors of random variables, Assignment
Week 5: Probability Distribution of discrete and continuous random variables, Assignment
Week 6: Probability Distribution of continuous random variables, Assignment
Week 7: Functions of Random Variables, Assignment
Week 8: Common Probability Models, Normal, Log Normal and exponential distributions
Week 9: Gamma and Extreme value distributions, Assignment
Week 10: Sampling distribution, Parameter Estimation, Assignment
Week 11: Hypothesis testing, Goodness-of-fit tests, Assignment
Week 12: Regression Analysis, Assignment

### Books and references

1. Ang A H-S. and W. H. Tang (1975), Probability Concepts in Engineering Planning and Design: Volume I Basic principles, John Wiley & Sons, Inc., USA
2. Kottegoda N T. and R Rosso (2008), Applied Statistics for Civil and Environmental Engineers, 2nd Edition, Wiley-Blackwell, United Kingdom
3. Papoulis, A, and S. U. Pillai (2002), Probability, Random Variables and Stochastic Processes, McGraw-Hill, USA
4. Jonson R A. and C. B. Gupta (2005), Miller and Freund’s Probability and Statistics for Engineers, Pearson Education, Inc., USA

### Prof. Rajib Maity

IIT Kharagpur
Dr. Rajib Maity is Associate Professor in 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. He has published two books and more than 100 research articles in different peer reviewed journals and conferences and chapters in books. His most recent book on ‚ÄòStatistical methods in Hydrology and hydroclimatology‚Äô is published with Springer. Some of his professional recognitions include Faculty Excellence Award (IIT Kharagpur), Humboldt Fellowship (Experienced Researchers), (Germany), James Rennel MoES Fellow, Prof. R. J. Garde Research Award, ASCE 2011 Outstanding Reviewer (USA), Emerging Leaders Fellowship (Australia), BOYSCAST Fellowship, IEI Young Engineers Award, DAAD fellowship for IIT faculty (Germany), International ICE WaRM Fellowship (Australia), Prof. N. S. Govinda Rao Memorial Gold Medal, IISc. He is an associate editor of Journal of Earth System Sciences (Springer), and ISH Journal of Hydraulic Engineering (Taylor and Francis).

### Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: EAXM DATE(ex: 21 May 2021) Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kharagpur .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team