Course Schedule
Might change according to class progress and interest.
| Date | Type | Topic | Readings | Slides | Exercises | Solutions |
|---|---|---|---|---|---|---|
| Jan 17, 2024 | Lecture | Course Overview; Probability: Introduction and definition; Review of set notations; Probabilistic model | Syllabus Ch 2.1-2.4 |
Lecture 1 | ||
| Jan 19, 2024 | Discussion | Homework Exercises: 2.1, 2.3, 2.5, 2.7, 2.8 | Week 1 HW Questions | Week 1 HW Solutions | ||
| Jan 22, 2024 | Lecture | Counting rules; Conditional probability; Independence | Ch 2.5-2.9 |
Lecture 2 | ||
| Jan 24, 2024 | Quiz 1, Lecture | Lectures 1 and 2; Bayes' rule | Lecture 3 | Quiz 1 Review Exercises | Quiz 1 Review Solutions | |
| Jan 26, 2024 | Discussion | Homework Exercises: 2.15, 2.17, 2.19, 2.21, 2.23, 2.75, 2.77 | Week 2 HW Questions | Week 2 HW Solutions | ||
| Jan 29, 2024 | Lecture | Bayes’ rule; Discrete Random Variables: Definition | Ch 2.10-3.2 |
Lecture 4 | ||
| Jan 31, 2024 | Lecture | Discrete Random Variables: Definition; Expected Value | Ch 3.1-3.3 |
Lecture 5 | ||
| Feb 2, 2024 | Discussion | Homework Exercises: 3.7, 3.19, 3.27, 3.31, 3.33 | Week 3 HW Questions | Week 3 HW Solutions | ||
| Feb 5, 2024 | Lecture | Special discrete distributions: Bernoulli, Binomial, Geometric | Ch 3.4-3.5 |
Lecture 6 | ||
| Feb 7, 2024 | Quiz 2, Lecture | Special discrete distributions: Negative Binomial, Hypergeometric, Poisson | Ch 3.6-3.8 |
Lecture 7 | Quiz 2 Review Exercises | Quiz 2 Review Solutions |
| Feb 9, 2024 | Discussion | Homework Exercises: 3.37, 3.43, 3.55, 3.57, 3.65 | Week 4 HW Questions | Week 4 HW Solutions | ||
| Feb 12, 2024 | Lecture | Review problems for Midterm 1 | Ch 2.1-3.8 |
Midterm 1 Simulation | Midterm 1 Simulation Solutions | |
| Feb 14, 2024 | Midterm Exam 1 | Midterm 1 | Midterm 1 Solutions | |||
| Feb 19, 2024 | Lecture | Continuous random variables: Definition | Ch 4.1-4.2 |
Lecture 8 | ||
| Feb 21, 2024 | Lecture | Continuous random variables, Expected value | Ch 4.2-4.3 |
Lecture 9 | ||
| Feb 23, 2024 | Discussion | Homework Exercises: 4.5, 4.9, 4.13, 4.15, 4.17 | Week 6 HW Questions | Week 6 HW Solutions | ||
| Feb 26, 2024 | Lecture | Special continuous distributions; Uniform, Normal | Ch 4.4-4.5 |
Lecture 10 | ||
| Feb 28, 2024 | Quiz 3, Lecture | Special continuous distributions; Normal | Z Table Ch 4.5 |
Lecture 11 | Quiz 3 Review Exercises | Quiz 3 Review Solutions |
| Mar 1, 2024 | Discussion | Homework Exercises: 4.61, 4.71, 4.73, 4.77, 4.81 | Week 7 HW Questions | Week 7 HW Solutions | ||
| Mar 4, 2024 | Lecture | Gamma, Exponential, Chi-square | Ch 4.6 |
Lecture 12 | ||
| Mar 6, 2024 | Lecture | Beta, Student's t | Ch 4.7 |
Lecture 13 | ||
| Mar 8, 2024 | Discussion | Homework Exercises: 4.93, 4.95, 4.101, 4.103, 4.111 | Week 8 HW Questions | Week 8 HW Solutions | ||
| Mar 11-15, 2024 | Spring Break | |||||
| Mar 18, 2024 | Lecture | Other expected values | Ch 4.9 |
Lecture 14 | ||
| Mar 20, 2024 | Quiz 4, Lecture | Multivariate probability distributions | Ch 5.1-5.2 |
Lecture 15 | Quiz 4 Review Exercises | Quiz 4 Review Solutions |
| Mar 22, 2024 | Discussion | Homework Exercises: 4.139, 4.141, 4.142, 4.143, 4.181 | Week 10 HW Questions | Week 10 HW Solutions | ||
| Mar 25, 2024 | Lecture | Marginal and conditional probability distributions; Independent random variables | Ch 5.3-5.4 |
Lecture 16 | ||
| Mar 27, 2024 | Lecture | Expectation and Covariance | Ch 5.3-5.4 |
Lecture 17 | ||
| Mar 29, 2024 | Discussion | Homework Exercises: 5.21, 5.23, 5.27, 5.35, 5.41 | Week 11 HW Questions | Week 11 HW Solutions | ||
| Apr 1, 2024 | Lecture | Review problems for Midterm 2 | Midterm 2 Review | Midterm 2 Simulation | ||
| Apr 3, 2024 | Midterm Exam 2 | Midterm 2 | Midterm 2 Solutions | |||
| Apr 8, 2024 | Lecture | Functions of random variables: Univariate | Ch 6.1-6.5 |
Lecture 18 | ||
| Apr 10, 2024 | Lecture | Functions of random variables: Multivariate | Ch 6.6 |
Lecture 19 | ||
| Apr 12, 2024 | Discussion | Homework Exercises: 6.15, 6.20, 6.23, 6.28, 6.46 | Week 12 HW Questions | Week 12 HW Solutions | ||
| Apr 15, 2024 | Lecture | Order statistics | Ch 6.7 |
Lecture 20 | ||
| Apr 17, 2024 | Quiz 5 | Quiz 5 Review Exercises | Quiz 5 Review Solutions | |||
| Apr 19, 2024 | Discussion | Homework Exercises: 6.72, 6.73, 6.74, 6.75, 6.80 | Week 13 HW Questions | Week 13 HW Solutions | ||
| Apr 22, 2024 | Lecture | Review problems for Final Exam | Final Simulation | Final Simulation Solutions | ||
| Apr 27-28, 2024 | Reading Days | |||||
| Apr 29, 2024 | Final Exam |