Main Page |
Course Outline |
Grading Policies |
Lectures |
Homework Problems and Solutions |
Student Projects |
Resources |
Exams |
The midterm will take place on March 11.
| Date | Lecture Notes | Concepts | Suggested Chapters | In-Class Notes | Homework | In-class Activity |
|---|---|---|---|---|---|---|
| Jan 21 (Tue) | Lecture 1 | Probability theory fundamentals Algebra of events; Probability axioms |
Ch. 1–2 (Overview) | HW0 Assigned | ||
| Jan 23 (Thu) | Lecture 2 | Steps to problem solving; Combinatorial problems | Ch. 2.1–2.3 | |||
| Jan 28 (Tue) | Lecture 3 | Conditional probability Bayes’ formula |
Ch. 3.1–3.2 | |||
| Jan 30 (Thu) | Lecture 4 | Total probability; Independence and mutual exclusivity | Ch. 3.3–3.4 | HW1 Assigned (Jan 31st) LINK | ||
| Feb 4 (Tue) | Lecture 5 | Reliability evaluation applications: Series systems |
Supplementary notes | |||
| Feb 6 (Thu) | Lecture 6 | Reliability evaluation applications: Parallel redundancy |
Supplementary notes | HW1 Due (Feb 7th) : SOLUTION/ HW2 Assigned LINK | In-Class Activity 1: SOLUTION |
|
| Feb 11 (Tue) | Lecture 7 | Bernoulli trials; TMR | Ch. 4.6 (Binomial) | Notes 1 | ||
| Feb 13 (Thu) | Lecture 8 | More reliability application examples | Supplementary notes | HW2 Due : SOLUTION/ HW3 Assigned LINK | ||
| Feb 18 (Tue) | Lecture 9 | Intro to random variables (discrete & continuous) PMF, CDF, PDF |
Ch. 4.1–4.5 | |||
| Feb 20 (Thu) | Lecture 10 | Important discrete RVs (Bernoulli, Binomial, Poisson, Geometric) | Ch. 4.6–4.8 | HW3 Due : SOLUTION/ HW4 Assigned LINK | In-Class Activity 2: SOLUTION |
|
| Feb 25 (Tue) | Lecture 11 | Important continuous RVs (Gaussian, exponential) | Ch. 5.1–5.4 | |||
| Feb 27 (Thu) | Lecture 12 | Memoryless property; Relationship to Poisson | Ch. 5.5 | HW4 Due : SOLUTION / HW5 Assigned LINK | ||
| Mar 4 (Tue) | Lecture 13 | Hypo-exponentials; TMR vs. TMR/simplex | Ch. 5.5–5.6 (supplement) | |||
| Mar 6 (Thu) | Lecture 14 | Hyper-exponentials | Ch. 5.6 (supplement) | HW5 Due : SOLUTION HW6 Assigned LINK | ||
| Mar 11 (Tue) | Midterm Solutions | MIDTERM EXAM | ||||
| Mar 13 (Thu) | Lecture 15 | Expectation | Ch. 6.1–6.2 | HW6 Due : SOLUTION | ||
| Spring Break: March 15 – 23 (No classes Tue 3/18 & Thu 3/20) | ||||||
| Mar 25 (Tue) | Lecture 16 | Reliability evaluation apps: MTTF, failure rates, hazard functions | Supplementary notes | |||
| Mar 27 (Thu) | Lecture 17 | Moments; Mean & variance; Functions of RVs | Ch. 6.3–6.5 | HW7 Assigned LINK | ||
| Apr 1 (Tue) | Lecture 18 | Joint distribution functions; Independence of RVs | Ch. 7.1–7.3 | |||
| Apr 3 (Thu) | Lecture 19 | Covariance & correlation | Ch. 7.4–7.5 | HW7 Due / HW8 Assigned LINK | ||
| Apr 8 (Tue) | Lecture 20 | Joint probability distributions | Ch. 7.6 | |||
| Apr 10 (Thu) | Lecture 21 | Binary hypothesis testing | Supplementary notes | HW8 Due / HW9 Assigned | ||
| Apr 15 (Tue) | Lecture 22 | Types of errors; ROC curve | Supplementary notes | |||
| Apr 17 (Thu) | Lecture 23 | Max likelihood & MAP decision rules | Supplementary notes | HW9 Due / HW10 Assigned | ||
| Apr 22 (Tue) | Lecture 24 | Limit theorems; Central limit theorem | Ch. 8.1–8.3 | |||
| Apr 24 (Thu) | Lecture 25 | Markov inequality | Ch. 8.4 | HW10 Due | ||
| Apr 29 (Tue) | Lecture 26 | Wrap up | Review materials | |||
| May 1 (Thu) | Lecture 27 | Review for Final Exam | Review materials | |||
Note: The official last day of instruction campus-wide is May 7. This schedule has our final (28th) lecture on May 1. The extra days (May 6–7) may be used for additional review, optional Q&A, or reading days.