***under construction***

- Test 2 (due October 31) Test 1 (due October 5)

- Freund's Mathematical Statistics 6th ed. online
- Link to "Probability and Statistics, Explorations with Maple", 2nd Ed., by Karian and Tanis
- Matematical Statistics Bootcamp, 14 Videos by Brian Caffo, biostatistician from John Hopkins School of Public Health
- Lecture notes on probability and statistics (Orloff and Bloom, MIT)

- Calculus: sums, series, and integrals
- Calculus differentiation rules
- Double integration examples
- Notes on the gamma function

- Some basic combinatorics
- Probability axioms, rules, and sample problems
- Proofs of some basic probability results
- Classic and/or common probability problems
- Solution key to classic problems

- Random variables: distribution functions and properties for univariate and bivariate cases
- Some prominent discrete random variables
- Some prominent continuous random variables
- Properties of joint distributions
- Joint distribution example
- A derivation of the normal distribution
- Integrating the standard normal pdf

- The distribution of the sum of two random variables
- CDF technique for finding the distribution of a function of random variables
- Transformation technique for discrete random variables
- Transformation technique for continuous random variables
- Some relationships among continuous random variables