EECS 126: Probability & Random Processes


Course Information

Lectures: Tuesday/Thursday, 2-3:30 PM, 100 Lewis





Homework Party: Monday, 6:30-9 PM, 521 Cory.

Lab Party: Thursday, 6-8 PM, 212 Cory.


For more detailed information, please look at the full syllabus.

The lectures will not be recorded this semester.

Date Topics Reading Assignments
01/16 Introduction/Logistics, Probability Spaces/Axioms, Conditional Probability, Multiplication Rule, Law of Total Probability, Bayes Rule, Independence B-T 1 HW 1 (due 1/24)
01/18 Discrete Random Variables, Probability Mass Functions (PMFs), Joint Distributions, Expectation, Binomial Distribution, Poisson Distribution B-T 2 Lab 1 (due 1/26)
01/23 St. Petersburg Paradox, Conditioning of Random Variables, Independence of Random Variables, Variance, Covariance, Cumulative Distribution Function (CDF), Tail Sum Formula, Geometric Distribution (Memoryless Property), Coupon Collection B-T 2
01/25 Correlation, Poisson Properties, Entropy B-T 2 HW 1 Self-Grades (due 1/29), Lab 1 Self-Grades (due 1/29), HW 2 (due 1/31), Lab 2 (due 2/2)
01/30 Continuous Sample Spaces, Continuous Random Variables, Probability Density Function (PDF), Uniform Distribution, Exponential Distribution (Memoryless Property) B-T 3
02/01 Order Statistics, Gaussian Distribution, Derived Distributions, Convolution B-T 3, B-T 4.1-4.2 HW 2 Self-Grades (due 2/5), Lab 2 Self-Grades (due 2/5), HW 3 (due 2/7), Lab 3 (due 2/9)
02/06 Transforms, Moments, Moment Generating Functions (MGFs) B-T 4.3-4.6
02/08 Markov's Inequality, Chebyshev's Inequality, Chernoff Bound B-T 5.1, W 13.7 HW 3 Self-Grades (due 2/12), Lab 3 Self-Grades (due 2/12), HW 4 (due 2/12)
02/13 Weak Law of Large Numbers (WLLN), Convergence in Probability, Strong Law of Large Numbers (SLLN), Almost Sure Convergence, Central Limit Theorem (CLT) B-T 5.2-5.6, W 2.1-2.3, Modes of Convergence
02/15 No Lecture HW 4 Self-Grades (due 2/19), HW 5 (due 2/21), Lab 4 (due 2/23)
02/20 Capacity of the Binary Erasure Channel (BEC) Notes
02/22 Discrete-Time Markov Chains (DTMCs) W 1, B-T 7.1-7.4 HW 5 Self-Grades (due 2/26), Lab 4 Self-Grades (due 2/26), HW 6 (due 2/28)


Discussion worksheets will be posted here.


Homework will be posted here.


Labs will be posted here.


Midterm 1

Location: 2050 VLSB

Time: Wednesday, February 14, 7-9 PM

Logistics: No electronics are allowed. No cheat sheets are allowed; we will provide a cheat sheet of our own. For DSP accommodations, please email the course staff.

Resources: Past Exams (Disclaimer: The content covered in the course has changed over the years, so older exams may not necessarily be representative of the material that will be covered on the midterm.)

Review Session: Wozniak Lounge, Saturday, February 10, 4-6 PM.

Midterm 2

Location: 2050 VLSB

Time: Wednesday, March 21, 7-9 PM