What is statistics? -- Probability -- Discrete Random variables and their probability distributions -- Continuous varables and their probability distributions -- Multivariate probability distributions -- Functions of random variables -- Sampling distributions and the central limit theorem -- Estimation -- Properties of point estimators and methods of estimation -- Hypothesis testing -- Linear models and estimation by least squares -- Considerations in designing experiments -- The analysis of variance -- Analysis of categorical data -- Nonparametric statistics -- Introduction to bayesian methods for inference --