Brownian motion, stochastic integrals and diffusions as solutions of stochastic differential equations. Functionals of diffusions and their connection with partial differential equations. Weak and strong approximation, efficient numerical methods and error estimates. Jump diffusions. Provides fundamentals of probability and statistics for data analysis in research. Topics include data collection, exploratory data analysis, random variables, common discrete and continuous distributions, sampling distributions, estimation, confidence intervals, hypoThesis tests, linear regression, analysis of variance, two (2)-way tables, and data analysis using statistical software. No degree credits for AMCS majors. AMCS 210 was previously entitled "Introduction to Statistics and Bio-Stati" during Falls of 2009, 2010 and 2011 and "Applied Probability and Biostatistics" during Fall 2012 and Summer 2014.