This is a temporary pilot course that fulfills the final course requirements in the mathematics core curriculum. The course develops cadet ability to structure their reasoning under conditions of uncertainty and presents fundamental probability and statistical concepts that support the USMA core curriculum. Coverage includes data analysis, probabilistic models, independence, simulation, random variables (including jointly distributed random variables) and their distributions, hypothesis testing, confidence intervals, linear regression and analysis of categorical data. Emphasis will be on model based approaches and significant time will be spent on selecting an appropriate model and assessing its validity. Applied problems motivate concepts, and technology enhances understanding, problem solving, and communication. |