lecture notes

date links topics covered
2026-08-24 worksheet syllabus, introduction to dice games
2026-08-26 worksheet set theory
2026-08-28 - sample space, event, random variable
2026-08-31 - what is probability? the three axioms (and their implications)
2026-09-02 - multiplication principle, permutations, combinations
2026-09-04 - applications of counting principles
2026-09-09 - introduction to craps, conditional probability (chp 2.4)
2026-09-11 - conditional probability examples (chp 2.4)
2026-09-14 - law of total probability (chp 2.4)
2026-09-16 - diagnostic tests (chp 2.4), independence (chp 2.5)
2026-09-18 - random variables (continuous, discrete), Bernoulli rv, pmf, cdf
2026-09-21 - expected value of discrete random variables, Binomial rv
2026-09-23 - expected value, LOTUS (chp 3.3)
2026-09-25 - variance
2026-09-28 - the Poisson distribution (chp 3.4, 3.6)
2026-09-30 - the law of rare events
2026-10-02 - midterm day
2026-10-04 - probability of winning craps, continuous rv
2026-10-07 worksheet continuous rv
2026-10-09 - continued worksheet, photon reflection (chp 4.1, 4.2)
2026-10-12 - normal random variables (chp 4.3)
2026-10-14 - joint distributions - discrete case (chp 5.1)
2026-10-16 - joint distributions - continuous case (chp 5.1)
2026-10-19 - review multiple integration (e.g., chapter 13 of this textbook), (chp 5.2)
2026-10-23 - multivariate LOTUS theorem, covariance (chp 5.2)
2026-10-26 - what is statistics? (chp 5.3, 5.4)
2026-10-28 - Sample means, Central limit theorem (chp 5.4)
2026-10-30 - Central limit theorem, intro to point estimation (chp 5.4, 6.1)
2026-11-02 - Examples of point estimators, law of large numbers (chp 6.1)
2026-11-04 - Confidence intervals (chp 7.1)

other links

syllabus

my old lecture notes from fall 2026