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Applied Probability and Statistics 2009

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CIV 1504 Probability and Statistics for Civil Engineers

Fall 2009

Instructor Bilal Farooq, [email protected], SF 3001-M

Lectures Tuesdays 12-3, GB 303

Office hours Mondays 5-6 or by appointment (arranged by email)

Course description

The objective of this course is to introduce a wide range of statistical and probabilistic tools used by civil engineers both in the professional practice and in research. After a crash review of basic material (lecture 1), lecture 2 covers some theoretical principles of random variable interaction. Statistical methods for designing experiments and analyzing data are discussed in lectures 3, 4, and 5. The remaining lectures cover probabilistic techniques useful for decision making under conditions of uncertainty, both to estimate parameters of models and in specific engineering applications. Examples are drawn from all areas of Civil Engineering – construction

management, environmental, geotechnical, materials, structural, and transportation.

Topics covered

1. Introduction: Review of Probability and Statistics 2. Functions of Random Variables

3. Confidence Intervals and Hypothesis Testing 4. Analysis of Variance and Design of Experiments 5. Monte Carlo Simulation

6. Estimation methods (Method of Moments, Maximum Likelihood, Bayesian Methods) 7. Regression Analysis

8. Other applications: Order Statistics and Probability of Extremes, Reliability and Risk Assessment, Time Series Analysis, and Bayesian Networks

Prerequisite

Undergraduate engineering course in probability and statistics (or equivalent)

Course Webpage

https://portal.utoronto.ca/webapps/portal/frameset.jsp

Grading

Mid-term exam (TBA) 20%

Open book, no programmable calculators

Final Exam (TBA) 30%

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Project 30% Proposal, presentation, & report

Assignments 20%

Six assignments, submissions of all assignments are compulsory (The least score will be dropped)

Text Books

There is no specific textbook for the course. A list of recommended books is:

1. Applied Statistics and Probability for Engineers, Douglas Montgomery

2. Probability and Statistics for Engineers and Scientists, Walpole, Myers and Myers 3. Probability and Statistics in Engineering, Hines, Montgomery, Goldsman, and Borror 4. Applied Regression Analysis, Draper and Smith

5. Probability and Statistics for Engineers, Little

6. Statistics: With a View Towards Application, Leo Breman 7. Modern Engineering Statistics, Thomas P. Ryan

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Lecture Schedule

Week Date Lecture Content

1 Sept 15 Introduction: Review of Probability and Statistics

2 Sept 22 Functions of Random Variables

3 Sept 29 Confidence Intervals and Hypothesis Testing 4 Oct 06 Analysis of Variance and Design of 14 TBA Project Presentation

Assignment Schedule

Week Date Assignment Hand On Assignment Due

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Project Schedule

Week Date Activity

1 Sept 15 -

2 Sept 22 Project hand on 3 Sept 29

4 Oct 06 -

5 Oct 13 Project proposal submission 6 Oct 20 Project proposal comments 7 Oct 27

8 Nov 03

9 Nov 10

10 Nov 17 11 Nov 24 12 Dec 01 13 Dec 08

Referensi

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