Ma 3/103 - Introduction to Probability and Statistics

This course is an introduction to the main ideas of probability and statistics. The first half is devoted to the fundamental concepts of probability theory, including basic combinatorics, random variables, independence, conditional probability, and the central limit theorem. The second half is devoted to statistical reasoning, including methods for the collection, organization, analysis, and interpretation of data. Topics covered will include parameter estimation, hypothesis testing, confidence intervals, Bayesian inference, and linear regression. The course will emphasize the application of statistics to engineering and the sciences.