1. Mathematical Sciences MA206 Probability and Statistics Program Director: LTC John Jackson Course Director: MAJ Kevin Cummiskey Assistant CD:MAJ Nick Howard

2. Mathematical Sciences Goals Of MA206  Manage uncertainty from a mathematical perspective.  Develop probabilistic modeling abilities via classroom applications and group projects.  Use software to analyze data, perform calculations.  Understand variation and how it affects statistical analysis – emphasize statistical thinking.  Understand mathematical models for patterns and the appropriateness of these models.  Make use of and effectively communicate appropriate statistics in the decision making process.

3. Mathematical Sciences Data Analysis –Graphically represent data (scatter plots, histograms, EDF’s) –Measures of location and variance Random Variables and Probability Distributions –Distribution, PDF, CDF, percentiles, mean, variance –Use the EDF to determine ‘best-fit’ distributions –Monte Carlo simulation (variate generation) Population Parameter Inference –Confidence intervals for the mean –Hypothesis testing for the mean Linear Regression –Probabilistic properties of the coefficient estimates –Extension of the simple model (transformations/multiple regression) Topics in MA206

4. Mathematical Sciences What MA206 is about…we think/hope Have students interact with and confront issues associated with real data. (in progress) Emphasize more data and concepts, with less focus on probability and fewer recipes. Develop statistical literacy: variability, association vs. causation, practical importance of statistical significance. Foster active learning and engage the material in a meaningful way. Project – less prescriptive, have students develop their own research question, find data and investigate with concepts learned. Have students interact with and confront issues associated with real data. (in progress) Emphasize more data and concepts, with less focus on probability and fewer recipes. Develop statistical literacy: variability, association vs. causation, practical importance of statistical significance. Foster active learning and engage the material in a meaningful way. Project – less prescriptive, have students develop their own research question, find data and investigate with concepts learned.

5. Mathematical Sciences Fall – MA153/MA255/MA100 –About 230 Students Spring – Core Enrollment –Over 840 Students STAP – Veterans/Rookies/other MA206 Seasonal Enrollment

6. Mathematical Sciences Questions