Section	Meeting time and place	Instructor
A	9 MWF 3015 ECE Building	Professor Juan Alvarez e-mail: alvarez AT illinois dot edu Office Hours: Thursdays, 1-2pm, 3034 ECEB figures and notes
B	10 MWF 3015 ECE Building	Professor Yihong Wu e-mail: yihongwu AT illinois dot edu Office Hours: Wednesdays, 1-3pm, 3034 ECEB
C	11 MWF 3017 ECE Building	Professor Yihong Wu e-mail: yihongwu AT illinois dot edu Office Hours: Wednesdays, 1-3pm, 3034 ECEB
D	1 MWF 3017 ECE Building	Dimitrios Katselis e-mail: katselis AT illinois dot edu Office Hours: Thursdays, 3-4pm, 3034 ECEB
E	2 MWF 3017 ECE Building	Peter Kairouz e-mail: kairouz2 AT illinois dot edu Office Hours: Thursdays, 2-3pm, 3034 ECEB

Graduate Teaching Assistants

Fardad Raisali raisali2 AT illinois dot edu	Office Hours: Mondays, 2-4pm (3015 ECEB), Tuesdays, 1-4pm (3020/3034 ECEB), Tuesdays, 4-5pm (335 MEB), Fridays, 1-3pm (3034 ECEB).
Maojing Fu mfu2 AT illinois dot edu	Office Hours: Mondays, 2-6pm (3015 ECEB), Tuesdays 4-7pm (335 MEB), Fridays, 4-5pm (3034 ECEB).
Ali Yekkehkhany yekkehk2 AT illinois dot edu	Office Hours: Mondays, 4-6pm (3015 ECEB), Tuesdays 4-7pm (335 MEB), Fridays, 3-4pm (3034 ECEB).
Ge Yu geyu3 AT illinois dot edu	Office Hours: Tuesdays, 2-4pm (3020/3034 ECEB), Tuesdays, 5-7pm (335 MEB).

Concept constellation

Concept matrix

Course schedule (subject to change)
Week # Quiz date	Lecture dates	Concepts (Reading)[ Short videos]	Short Answer Questions (SAQ) and Problems for Quizzes
1 Mon, 8/31	8/24-8/28	* How to specify a set of outcomes, events, and probabilities for a given experiment (Ch 1.2) * set theory (e.g. de Morgan's law, Karnaugh maps for two sets) (Ch 1.2) * using principles of counting and over counting; binomial coefficients (Ch 1.3-1.4) [ILLINI, SAQ 1.3, SAQ 1.4, PokerIntro, PokerFH2P] * using Karnaugh maps for three sets (Ch 1.4) [Karnaughpuzzle, SAQ1.2]	SAQs (on p. 20) for Sections 1.2, 1.3, 1.4. Problems (pp. 21-24) 1.2, 1.4, 1.6, 1.8, 1.10, 1.12. Optional: [SAQ 1.5]
2 Wed, 9/9	8/31-9/4	* random variables, probability mass functions, and mean of a function of a random variable (LOTUS) (Ch 2.1, first two pages of Ch 2.2) [pmfmean] * scaling of expectation, variance, and standard deviation (Ch 2.2) [SAQ 2.2] * conditional probability (Ch 2.3) [team selection] [SAQ 2.3] * independence of events and random variables (Ch 2.4.1-2.4.2) [SimdocIntro] [Simdoc-Minhash1]	SAQs (pp. 74-75) for Sections 2.2 & 2.3 Problems (pp. 77-82) 2.2 (quiz won't ask for mean and variance), 2.4, 2.6 (quiz skips parts (d) & (e)) , 2.12, 2.14, 2.16. NOTE: the matrix deadline this week is Wednesday, Sept 9 at 6pm.
3 Mon, 9/14	9/9-9/11 No lecture 9/7	* binomial distribution (how it arises, mean, variance, mode) (Ch 2.4.3-2.4.4) [SAQ 2.4] [bestofseven]	SAQs (p. 75) for Section 2.4 Problems (pp. 83-84) 2.18, 2.20. For problems asking for a numerical answer, on a quiz you would only need to indicate how to solve the problems up to the point a calculator is needed.
4 Mon, 9/21	9/14-9/16	* geometric distribution (how it arises, mean, variance, memoryless property) (Ch. 2.5) [SAQ 2.5] * Bernoulli process (definition, connection to binomial and geometric distributions) (Ch 2.6) [SAQ 2.6] * Poisson distribution (how it arises, mean, variance) (Ch 2.7) [SAQ 2.7]	SAQs (p. 75) for Sections 2.5-2.7. Problems (pp. 84-85) 2.22, 2.24.
5 Mon, 9/28	9/18-9/23 (one lecture to be cancelled this week)	* Maximum likelihood parameter estimation (definition, how to calculate for continuous and discrete parameters) (Ch 2.8) [SAQ 2.8] * Markov and Chebychev inequalities (Ch 2.9) * confidence intervals (definitions, meaning of confidence level) (Ch 2.9) [SAQ 2.9,Simdoc-Minhash2] * law of total probability (Ch 2.10) [deuce] [SAQ 2.10] * Bayes formula (Ch. 2.10)	SAQs (pp. 75-76) for Sections 2.8-2.10 Problems (pp. 85-88) 2.26, 2.28, 2.30, 2.32, 2.34
6 Mon, 10/12 (skip 10/5)	9/25-9/30	* Hypothesis testing -- probability of false alarm and probability of miss (Ch. 2.11) * ML decision rule and likelihood ratio tests (Ch 2.11) [SAQ 2.11] * MAP decision rules (Ch 2.11) * union bound (Ch 2.12.1) [SAQ 2.12] * network outage probability and distribution of capacity (Ch 2.12.2-2.12.3) * probability of undetected error for coded system (Ch 2.12.4)	SAQs (p. 76) for Sections 2.11 & 2.12 Problems (pp. 88-93) 2.36, 2.38, 2.40, 2.42, 2.44, 2.46 (For 2.38 on quiz, you should realize the intervals overlap, even though you don't have a calculator.) Exam 1: Wednesday, October 7, 7-8.15pm (no quiz October 5, no matrix certification deadline this week)
7 Mon, 10/12 (week 6 too)	10/2-10/7	* cumulative distribution functions (Ch 3.1) [SAQ 3.1] * probability density functions (Ch 3.2) [SAQ 3.2] [simplepdf] * uniform distribution (Ch 3.3) [SAQ 3.3] * exponential distribution (Ch 3.4) [SAQ 3.4]	SAQs (p. 145-146) for Sections 3.1-3.4. Problems (pp.148-150) 3.2, 3.4, 3.6, 3.8, 3.10.
8 Mon, 10/19	10/9-10/14 (one lecture to be cancelled this week)	* Poisson processes (Ch 3.5) [SAQ 3.5] * Erlang distribution (Ch 3.5.3) * scaling rule for pdfs (Ch. 3.6.1) [SAQ 3.6]	SAQs (p 146) for Sections 3.5 & 3.6 (#1). Problems (p. 151) 3.12, 3.14.
9 Mon, 10/26	10/16-10/21	* Gaussian (normal) distribution (e.g. using Q and Phi functions) (Ch. 3.6.2) [SAQ 3.6] [matlab help including Qfunction.m] * the central limit theorem and Gaussian approximation (Ch. 3.6.3) [SAQ 3.6] * ML parameter estimation for continuous type random variables (Ch. 3.7) [SAQ 3.7]	SAQs (pp. 146-147) for Sections 3.6 (#2-4)-3.7. Problems (pp. 152-154) 3.16, 3.18, 3.20, 3.22, 3.24.
10 Mon, 11/2	10/23-10/28	* the distribution of a function of a random variable (Ch 3.8.1) [SAQ 3.8] * generating random variables with a specified distribution (Ch 3.8.2) * binary hypothesis testing for continuous type random variables (Ch 3.10) [SAQ 3.10] * joint CDFs (Ch 4.1) [SAQ 4.1]	SAQs (p. 147) for Sections 3.8 and 3.10 (skip 3.9). SAQs (p. 220) for Section 4.1. Problems (pp. 155-156) 3.26, 3.28, 3.30, 3.32.
11 Mon, 11/16 (skip 11/9)	10/30-11/4	* joint pmfs (Ch 4.2) [SAQ 4.2] * joint pdfs (Ch 4.3) [SAQ 4.3] * joint pdfs of independent random variables (Ch 4.4) [SAQ 4.4]	SAQs (p. 221) for Sections 4.2-4.4. Problems (p. 223-226) 4.2, 4.4, 4.6, 4.8, 4.10, 4.12. To shorten the problems on quizzes, Parts 4.2(c), 4.4(c), 4.6(c), 4.10(e), and 4.12(d) will not be included. Exam 2: Wednesday, November 11, 7-8.15pm (no quiz November 9, no matrix certification deadline this week)
12 Mon, 11/16 (week 11 too)	11/6-11/11	* distribution of sums of random variables (Ch 4.5) [SAQ 4.5] * more problems involving joint densities (Ch 4.6) [SAQ 4.6]	SAQs (pp. 221) for Sections 4.5-4.6. (skip 4.7) Problems (pp. 226-227) 4.14, 4.16.
13 Mon, 11/30	11/13-11/20 (one lecture to be cancelled between 11/20-12/9)	* correlation and covariance (e.g. scaling properties) (Ch 4.8) [SAQ 4.8] * minimum mean square error unconstrained estimators (Ch 4.9.2) * minimum mean square error linear estimator (Ch 4.9.3) [SAQ 4.9]	SAQs (p. 222) for Sections 4.8-4.9. Problems (p. 227-230) 4.18, 4.20, 4.22, 4.24, 4.26, 4.28.
	11/23-11/27	Thanksgiving	vacation
14 Mon, 12/7 or Wed, 12/9	11/30-12/4 (one lecture to be cancelled between 11/20-12/9)	* law of large numbers (Ch 4.10.1) * central limit theorem (Ch 4.10.2) [SAQ 4.10] * joint Gaussian distribution (Ch 4.11) (e.g. five dimensional characterizations) [SAQ 4.11]	SAQs (p.222) for Sections 4.10-4.11 Problems (pp.230-235) 4.30, 4.32, 4.34, 4.36, 4.38, 4.40, 4.42.
15	12/7-12/9 (one lecture to be cancelled between 11/20-12/9)	wrap up and review

Optional Reading:

• D. V. Sarwate, Probability with Engineering Applications, Powerpoint Slides for ECE 313, Fall 2000