1. Introduction2. Review of Probability3. Empirical Distributions and Exploratory Data Analysis4. Parametric Probability Distributions5. Frequentist Statistical Inference6. Bayesian Inference7. Statistical Forecasting8. Ensemble Forecasting9. Forecast Verification10. Time Series11. Matrix Algebra and Random Matrices12. Multivariate Normal Distribution13. Principal Component (EOF) Analysis14. Linear multivariate analysis of vector pairs: CCA, MCA, and RA15. Discrimination and Classification16. Cluster Analysis