Uncertainty in Engineering >> Content Detail



Amazon logo When you click the Amazon logo tothe left of any citation and purchase the book (or other media) from, MIT OpenCourseWare will receive up to 10% of this purchase and any other purchases you make during that visit. This will not increase the cost of your purchase. Links provided are to the US Amazon site, but you can also support OCW through Amazon sites in other regions. Learn more.

Course Description

1.010 is a sophomore-level undergraduate subject, very similar in content to 1.151, which is a first-year graduate subject. Both aim at introducing students to quantitative uncertainty analysis and risk assessment for engineering applications. The subjects cover similar material, but the undergraduate course includes weekly recitations mainly to solve problems, review material presented in class, and engage students in bi-weekly 30-minute mini-quizzes. Along with these five small quizzes, there is a final exam. The graduate version includes additional topics (such as system reliability), is faster-paced and more in-depth. It includes only two major quizzes.

Both subjects try to strike a balance between mathematical rigor and applications. No previous familiarity with probability or statistics is assumed. However, students should be conversant with basic linear algebra (vectors and matrices) and calculus (derivatives, and integrals).

Emphasis is on probability theory and its applications, with a smaller module at the end covering basic topics in statistics (parameter estimation, hypothesis testing and regression analysis). The probability part includes events and their probability, the Total Probability and Bayes' Theorems, discrete and continuous random variables and vectors, the Bernoulli trial sequence and Poisson process models, conditional distributions, functions of random variables and vectors, statistical moments, second-moment uncertainty propagation and second-moment conditional analysis, and various probability models such as the exponential, gamma, normal, lognormal, uniform, beta and extreme-type distributions. In addition, the graduate subject has a module on system reliability, which covers both second-moment and full-distribution techniques. Throughout the subjects, emphasis is on application to engineering and everyday life problems.

Recommended Text

The recommended text for this class is:

Amazon logo Ang, Alfredo, and Wilson Tang. Probability Concepts in Engineering Planning and Design: Vol I - Basic Principles. New York, NY: John Wiley & Sons, 1975. ISBN: 047103200X.


© 2009-2020, All Rights Reserved.
Higher Ed Space ® is a registered trademark of AmeriCareers LLC.