College of the Holy Cross, Spring 2021
Syllabus for Math 375 (Probability)
Professor Hwang, (rhymes with song)
Do not make travel plans that conflict with the midterm tests or your final exam. If an emergency prevents you from taking the final exam at the allotted time, speak to your Class Dean immediately to arrange for an incomplete grade, and to me to schedule a make-up exam.
The schedule below is subject to minor changes. Any substantial corrections will be announced by email and/or in class.
| Day | Date | Section | Topics |
| M | Feb 1 | Section 2.1-3 | Set Theory |
| W | Feb 3 | Section 2.4 | Sample Spaces and Events |
| F | Feb 5 | Section 2.5-6 | Probability Axioms and Properties |
| M | Feb 8 | Section 2.6 | Techniques for Counting |
| W | Feb 10 | Section 2.7-8 | Conditional Probability and Independence |
| F | Feb 12 | Section 2.9-11 | Bayes' Rule, Discrete Random Variables |
| M | Feb 15 | Section 3.1-2 | Probability Mass Functions |
| W | Feb 17 | Section 3.3 | Expected Value, Variance |
| F | Feb 19 | Section 3.4 | Binomial Distributions |
| M | Feb 22 | Section 3.5 | Geometric Distributions |
| W | Feb 24 | Section 3.6 | Negative Binomial Distributions |
| F | Feb 26 | Section 3.7 | Hypergeometric Distributions |
| M | Mar 1 | Section 3.8 | Poisson Distributions |
| W | Mar 3 | Section 3.9 | Moment Generating Functions |
| F | Mar 5 | Midterm 1 | |
| M | Mar 8 | Section 4.1-3 | Continuous Random Variables, Expected Value |
| W | Mar 10 | Section 4.4-5 | Uniform and Normal Distributions |
| F | Mar 12 | Section 4.6 | Gamma Distributions |
| M | Mar 15 | Section 4.7 | Beta Distributions |
| W | Mar 17 | Section 4.10 | Chebyshev's Inequality |
| F | Mar 19 | Section 5.1-2 | Joint Distributions |
| M | Mar 22 | Section 5.3 | Marginal Distributions |
| W | Mar 24 | Section 5.4 | Independence |
| F | Mar 26 | Section 5.5-6 | Expected Value of a Function |
| M | Mar 29 | Section 5.7-8 | Covariance and Linear Combinations |
| W | Mar 31 | Midterm 2 | |
| F | Apr 2 | Easter | |
| M | Apr 5 | Easter | |
| W | Apr 7 | Section 5.9 | Multinomial Distribution |
| F | Apr 9 | Section 5.10 | Bivariate Normal Distribution |
| M | Apr 12 | Section 5.11 | Conditional Expectations |
| W | Apr 14 | Section 6.1-3 | Method of Distribution Functions |
| F | Apr 16 | Section 6.4 | Method of Transformation |
| M | Apr 19 | Section 6.5 | Method of Moment Generating Functions |
| W | Apr 21 | Section 6.6 | Jacobians |
| F | Apr 23 | Section 6.7 | Order Statistics |
| M | Apr 26 | Midterm 3 | |
| W | Apr 28 | Academic Conference | |
| F | Apr 30 | Section 7.1-2 | Sampling Distributions |
| M | May 3 | Section 7.2 | Sampling Distributions |
| W | May 5 | Section 7.3 | The Central Limit Theorem |
| F | May 7 | Section 7.4 | Proof of the Central Limit Theorem |