EE 364: Introduction to Probability and Statistics for EE/CS

University of Southern California, Spring 2026

Schedule

Week 1

Jan 13

Lecture 1 Introduction to probability. Logic and sets. Probability axioms. Demo Demos Homework 1 Homework 1

Week 2

Jan 20

Lecture 2 Independence. Conditional probability. Bayes' Theorem. Demo Demos Homework 2 Homework 2

Week 3

Jan 27

Lecture 3 Combinatorics. Binomial and multinomial probability. Demo Demos Homework 3 Homework 3

Week 4

Feb 3

Lecture 4 Discrete probability and mass functions. Poisson Theorem. Demo Demos Homework 4 Homework 4

Week 5

Feb 10

Exam Midterm 1 Lecture 4b Poisson Law. Approximations. Handout BEG-CUP pdfs

Week 6

Feb 17

Lecture 5 Continuous probability densities. Homework 5 Homework 5

Week 7

Feb 24

Lecture 5b Cauchy, Gamma, Chi-square, Beta. Demo Demos Homework 6 Homework 6

Week 8

Mar 3

Lecture 6 Expectation, variance, moments.

Week 9

Mar 10

Exam Midterm 2 Lecture 7 Transformed random variables. Demo Demos Homework 7 Homework 7

No class, Spring Break.

Week 10

Mar 24

Lecture 8 Multiple random variables. Covariance and correlation. Uncertainty principles. Homework 8 Homework 8

Week 11

Mar 31

Lecture 9 Multivariate normal. Mixtures. Laws of large numbers. Homework 9 Homework 9

Week 12

Apr 7

Lecture 10 Bayesian statistics and conjugacy. Homework 10 Homework 10

Week 13

Apr 14

Exam Midterm 3 Lecture 11 Maximum likelihood estimation. Entropy. Monte Carlo sampling. Homework 11 Homework 11

Week 14

Apr 21

Lecture 12 Transforms. Sample mean and sample variance. Central limit theorem. Homework 12 Homework 12

Week 15

Apr 28

Lecture 13 Confidence intervals. Statistical hypothesis testing. Homework 13 Homework 13

Final Exam - Thursday, May 7, 16:30 - 18:30