Section	Meeting time and place	Instructor
X	10 MTWRF 1013 ECE Building	Juan Alvarez e-mail: alvarez AT illinois dot edu Office Hours: Mondays, 1.30-2.30pm, 3034 ECEB. Wednesdays, 1.30-2.30pm, 3034 ECEB. Thursdays, 1.30-2.30pm, 3034 ECEB. figures and notes

Graduate Teaching Assistants

Usman Ahmed Syed (usyed3@ AT illinois dot edu)

Office Hours:

Tuesdays, 11am-2pm, 3034 ECEB. Wednesdays 11am-12pm, 3034 ECEB. Fridays 11am-2pm, 3034 ECEB.

Concept constellation
Concept matrix

Quiz #	Quiz date (tentative)	Concepts (Notes sections)[Short videos]	Short Answer Questions (SAQ) and Problems for Quizzes 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.
1	Tuesday, June 19	* 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 Karnaugh maps for three sets (Ch 1.4)[Karnaughpuzzle, SAQ1.2] * using principles of counting and over counting; binomial coefficients (Ch 1.3-1.4) [ILLINI, SAQ 1.3, SAQ 1.4, PokerIntro, PokerFH2P] * conditional probability (Ch 2.3) [team selection][SAQ 2.3]	* SAQs for Sections 1.2, 1.3, 1.4, 2.3. * Problems 1.2, 1.4, 1.6, 1.8, 1.10, 1.12, 2.12, 2.16 . Optional: [SAQ 1.5]
2	Friday, June 22	* independence of events (Ch 2.4.1)[SimdocIntro][Simdoc-Minhash1]??? * law of total probability (Ch 2.10) [deuce] [SAQ 2.10] * Bayes formula (Ch. 2.10) * random variables and probability mass functions (Ch 2.1) [pmfmean]	* SAQs for Section 2.10 * Problems 2.14, 2.32, 2.34, 2.2 (quiz won't ask for mean and variance), 2.4, 2.6 ((a) and (c)).
3	Tuesday, June 26	*mean of a function of a random variable (LOTUS) (Ch 2.2) [pmfmean] * scaling of expectation, variance, and standard deviation (Ch 2.2) [SAQ 2.2] * independence of random variables and Bernoulli distribution (Ch 2.4.2-2.4.3)[SimdocIntro][Simdoc-Minhash1]	* SAQs for Section 2.2. * Problems 2.2, 2.6 ((b), (d), (e) and (f)), 2.10. Exam 1: Wednesday, June 27, during lecture.
4	Friday, June 29	* binomial distribution (how it arises, mean, variance, mode) (Ch 2.4.3-2.4.4)[SAQ 2.4][bestofseven] * geometric distribution (how it arises, mean, variance, memoryless property) (Ch. 2.5)[SAQ 2.5]	* SAQs for Sections 2.4-2.5. * Problems 2.18, 2.20, 2.22, 2.24.
5	Tuesday, July 3	* 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] NO lecture on Wednesday, July 4.	* SAQs for Sections 2.6-2.7
6	Tuesday, July 10	* Maximum likelihood parameter estimation (definition, how to calculate for continuous and discrete parameters) (Ch 2.8)[SAQ 2.8][hypergeometric] - Skip Section 2.9. * 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) - Skip Subsections 2.12.4 and 2.12.5.	* SAQs for Sections 2.8, 2.11-2.12 * Problems 2.26, 2.36, 2.40, 2.42, 2.44, 2.46 Exam 2: Wednesday, July 11, during lecture.
7	Friday, July 13	* cumulative distribution functions (Ch 3.1)[SAQ 3.1] * probability density functions (Ch 3.2) [SAQ 3.2] [simplepdf]	* SAQs for Sections 3.1-3.2. * Problems 3.2, 3.4, 3.6, 3.8.
8	Tuesday, July 17	* uniform distribution (Ch 3.3) [SAQ 3.3] * exponential distribution (Ch 3.4) [SAQ 3.4] * Poisson processes (Ch 3.5) [SAQ 3.5]	* SAQs for Sections 3.3-3.5. * Problems 3.10, 3.12 (not part d) and 3.14.
9	Friday, July 20	* scaling rule for pdfs (Ch. 3.6.1)[SAQ 3.6] * 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] - Skip Sections 3.8 temporarliy and section 3.9 completely. * binary hypothesis testing for continuous type random variables (Ch 3.10) [SAQ 3.10]	* SAQs for Section 3.6, 3.7, and 3.10. * Problems 3.16, 3.18c, 3.20, 3.22 and 3.24.
10	Tuesday, July 24	* the distribution of a function of a random variable (Ch 3.8.1)[SAQ 3.8]	* SAQs for Sections 3.8.1. * Problems 3.26, 3.28, 3.30, 3.32. Exam 3: Wednesday, July 25, during lecture.
11	Friday, July 27	* generating random variables with a specified distribution (Ch 3.8.2) - Skip Sections 3.8.3 and 3.9 * joint CDFs (Ch 4.1)[SAQ 4.1] * joint pdfs (Ch 4.3)[SAQ 4.3] * joint pmfs (Ch 4.2)[SAQ 4.2]	* SAQs for Sections 3.8.2, 4.1-4.3. * Problems 4.2 (not part d), 4.6, 4.10 (not part a).
12	Thursday, August 2	* joint pdfs of independent random variables (Ch 4.4)[SAQ 4.4] * distribution of sums of random variables (Ch 4.5)[SAQ 4.5] * more problems involving joint densities (Ch 4.6)[SAQ 4.6.] - Skip Section 4.7. * correlation and covariance (e.g. scaling properties) (Ch 4.8)[SAQ 4.8] * minimum mean square error linear estimator (Ch 4.9.3)[SAQ 4.9] * minimum mean square error unconstrained estimators (Ch 4.9.2)	* SAQs for Sections 4.4-4.6, 4.8-4.9 * Problems 4.2(d), 4.4, 4.8, 4.12, 4.14, 4.16, 4.18, 4.20, 4.22, 4.24, 4.26, 4.28.

Optional Reading:

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