1.010 Uncertainty in Engineering, Fall 2004
Bridge failure at Henry's Fork, Idaho, caused by excessive rains and structural failure, two topics addressed by probability. (Image courtesy of the Federal Highway Administration.)
課程重點
This course features a complete set of lecture notes and real world examples of the topics covered in class, and all the assignments from the class.
課程描述
This undergraduate class serves as an introduction to probability and statistics, with emphasis on engineering applications. The first segment discusses events and their probability, Bayes' Theorem, discrete and continuous random variables and vectors, univariate and multivariate distributions, Bernoulli trials and Poisson point processes, and full-distribution uncertainty propagation and conditional analysis. The second segment deals with second-moment representation of uncertainty and second-moment uncertainty propagation and conditional analysis. The final segment covers random sampling, point and interval estimation, hypothesis testing, and linear regression. Many of the concepts covered in class are illustrated with real-world examples from various areas of engineering.
