EE 503: Probability for Electrical and Computer Engineers

University of Southern California, Summer 2026

Schedule

No class, Memorial Day.

Week 1

May 27

Lecture 1 Logic and sets. Proof technique. Sigma-algebras. Probability axioms. Handout Daily Derivations Demo Demos Homework 1 Homework 1

[Recording] HW #1 Review Session

Week 2

Jun 1

Lecture 2 Uncountability. Borel sigma-algebra. Independence. Total probability. Demo Demos Homework 2 Homework 2

Week 3

Jun 8

Lecture 3 Combinatorics. Limits of sequences and sets. Borel-Cantelli Lemma. Demo Demos Homework 3 Homework 3

Week 4

Jun 15	Lecture 4 Discrete probability and approximations. Poisson Theorem. Handout BEG-CUP pdfs Demo Demos Homework 4 Homework 4
Jun 19	Discussion Rescheduled - Juneteenth

Week 5

Jun 22

Lecture 5 Random variables. Continuous densities. Bayes conjugate inference. Handout Normal table (z-table) Handout Chi-square table Demo Demos Homework 5 Homework 5

Week 6 & 7

Jun 29	Lecture 6 Expectations and moments of random variables. Homework 6 Homework 6
Jul 1	Lecture 7 Covariance. Correlation. Uncertainty principles. Homework 7 Homework 7 Demo Demos
Jul 3	Discussion Rescheduled - Independence Day

Week 8

Jul 6

Lecture 8 Stochastic convergence. Laws of large numbers. Discussion Extra Session - Stochastic Convergence Demo Demos Homework 8 Homework 8

[Notes] Session Notes

Week 9

Jul 13

Lecture 9 Conditional expectations. S.I.T. technique. Maximum likelihood estimation. Handout t-table Demo Demos Homework 9 Homework 9

Week 10

Jul 20

Lecture 10 Transformed densities. Monte Carlo. Entropy and information. Mixtures. Demo Demos Homework 10 Homework 10

Week 11

Jul 27

Lecture 11 Central limit theorem. Confidence intervals. Queues. Demo Demos Homework 11 Homework 11

Week 12

Aug 3

Lecture 12 Discrete time Markov processes. Optimal estimation and least squares. Demo Demos Homework 12 Homework 12

Final Exam - Monday, August 10, 12:00 - 14:30