Lecture Notes
COMPLETE LECTURE NOTES (one pdf)
| Date | Lecture notes | Topics covered |
|---|---|---|
| 2026-01-12 | lecture-01 and worksheet-01 | Syllabus, introduction to dice games |
| 2026-01-14 | lecture-02 | (Section 2.1) General framework for probability, sample spaces and events, enumeration principle |
| 2026-01-16 | lecture-03 | (Section 2.1) General framework for probability, understanding events as sets |
| 2026-01-21 | lecture-04 | (Sections 2.1, 2.2) Definition of probability, repeated coin flipping, inclusion-exclusion |
| 2026-01-23 | lecture-05 | (Sections 2.1, 2.2) Definition of probability, St. Petersburg Paradox, De Morgan’s Laws |
| 2026-01-26 | lecture-06 | (Section 2.3) Counting techniques: the multiplication principle |
| 2026-01-28 | lecture-07 | (Section 2.3) Counting techniques: the permutation principle, the combination principle |
| 2026-01-30 | lecture-08 | (Sections 2.3, 2.4) Counting techniques, intro to craps, and conditional probability |
| 2026-02-02 | lecture-09, quiz-1-study-guide, and worksheet-02 | (Section 2.4) Conditional probability |
| 2026-02-04 | lecture-10 | (Section 2.4) Conditional probability, law of total probability |
| 2026-02-06 | lecture-11 | (Section 2.4) Quiz 1, and conditional probability, law of total probability |
| 2026-02-09 | none | no class due to wind |
| 2026-02-11 | lecture-12 | (Sections 2.5, 3.1, 3.2) Independence, discrete random variables |
| 2026-02-13 | lecture-13 | (Sections 3.1, 3.2) Review problems |
| 2026-02-16 | none | no class due to holiday |
| 2026-02-18 | none | in-class midterm |
| 2026-02-20 | worksheet-03 | |
| 2026-02-23 | lecture-14 | (Section 3.3) Expected value, variance |
| 2026-02-25 | lecture-15 | (Sections 3.3, 3.4) Variance, binomial random variables |
| 2026-02-27 | lecture-16 | (Section 3.4) Probability of winning at craps, variance of binomial random variable |
| 2026-03-02 | lecture-17 | (Section 3.6) Poisson random variable |
| 2026-03-04 | lecture-18 | (Sections 3.6, 4.1) Poisson random variable, continuous random variables |
| 2026-03-06 | lecture-19, quiz-2-study-guide | (Sections 4.1, 4.2) Continuous random variables |
| 2026-03-09 | lecture-20 | (Sections 4.1, 4.2) Continuous random variables, exponential random variables |
| 2026-03-11 | lecture-21 | (Section 4.4) Normal random variables |
| 2026-03-23 | lecture-22 | (Section 5.1) Joint distributions |
| 2026-03-25 | lecture-23 | (Sections 5.1, 5.2) Joint distributions, multivariate LOTUS theorem |
| 2026-03-27 | lecture-24 | (Sections 5.3, 5.4) Population-sample framework, statistics, sample mean, sample variance |
| 2026-04-06 | lecture-25 | (Sections 5.4, 6.1) The central limit theorem, introduction to point estimation |
| 2026-04-08 | lecture-26 | (6.1) Point estimation, bias, standard error |
| 2026-04-13 | lecture-27 | (7.1) Confidence intervals |
| 2026-04-15 | lecture-28 | (8.1) The coupon collector problem, hypothesis tests |
| 2026-04-17 | lecture-29 | (8.1) Hypothesis testing, decision errors |
| 2026-04-20 | lecture-30 | (8.1) Hypothesis testing, decision errors |
| 2026-04-22 | lecture-31 | (14.1-14.4) Chi-squared distribution, chi-squared random variable, tests of independence |
| 2026-04-24 | lecture-32 | (14.1-14.4) Tests of independence, inferring causality |
| 2026-04-27 | worksheet-04 | Worksheet on chi-squared tests independence |
| 2026-04-29 | worksheet-04 | Worksheet on chi-squared tests independence |
| 2026-05-01 | lecture-33 | (12.1, 12.2) Simple linear regression |
| 2026-05-04 | lecture-34 | (12.1, 12.2) Simple linear regression examples |