ECE 313 - G, Spring 2017, University of Illinois at Urbana-Champaign

## Spring 2017

Course Outline (Tentative)

### Lecture recordings are available on Echo360 .

 Date Concepts Notes Book Chapter Homework In-class Activity Mini Projects + Final Project Jan 18 Probability Theory Basic Lecture 1 ----- HW 0 Jan 23 Algebra of Events Probability Axioms Steps to problem solving Combinatorial Problems Lecture 2 Chap. 2.1 - 2.3 Jan 25 HW 1 HW 1 solution Group Activity 1 Solution Jan 30 Conditional probability Bayes formula Total probability Lecture 3 Chap. 3.1 - 3.3 Feb 1 Independence and mutual exclusivity Mini project 1 description Lecture 4 Chap. 3.4 HW 2 HW 2 Solution (NOT Graded) Mini Project 1 Posted Feb 6 Reliability evaluation applications Series systems Parallel redundancy Lecture 5 No text available Group Activity 2 Solution Feb 8 Reliability evaluation applications Series systems Parallel redundancy Lecture 6 (pptx) No text available Feb 10 Mini Project 1 Due Feb 13 Series-parallel system evaluation Non-series-parallel systems Bernoulli Trials Triple Modular Redundancy (TMR) Lecture 6 (continued) Lecture 7 No text available Feb 15 More Reliability Application Examples Lecture 8 No text available HW 3 Solution Group Activity 3 Solution Feb 20 Introduction to random variables Discrete and Continuous Random variables Probability Mass Functions (PMF) Cumulative distribution function (CDF) Probability mass function Intro to probability density function (PDF) Discrete Random Variables Continuous random variables Lecture 9 and GA3 solution Chap. 4.1 - 4.5 Feb 22 Important discrete random variables: Bernoulli and Binomial Distributions Poisson Distribution Geometric & Modified Geometric Distr. Derivation of Poisson using Binomial Lecture 10 (pdf) Chap. 4.6 - 4.8.1 HW 4 (pdf) Solution Feb 27 Examples on PDF, PMF and CDF Examples on Geometric RV Lecture 11 Chap 4.7 Mar 1 Continuous random variables Probability density function (PDF) Important continuous random variables Gaussian (Normal) Distribution Lecture 11 Chap 5.1 - 5.4 HW5 Solution Group Activity 4 Solution Mini Project 2 posted Mar 6 Exponential Distribution   Gaussian (Normal) Distribution Exponential Distribution Memory-less property Relationship to Poisson distribution Lecture 12 Chap 5.5 HW 6 (pdf) (Solution) Mar 8 Hypo-exponentials Examples: TMR vs. TMR/simplex as hypo-exponentials Chap 5.5-5.6 Mar 13 Midterm Review Lecture 14 HW6 due Extra midterm review session Slides Info on Binomial to Poisson conversion http://courses.wcupa.edu/rbove/Berenson/10th%20ed%20CD-ROM%20topics/section5_6.pdf Mar 15 Midterm Exam – In class Midterm Exam Mar 27 Midterm feedback Erlang Gamma Hyper-exponential Examples Lecture 15 Midterm feedbacks Midterm solution Mar 29 Expectations: Introduction Lecture 16 HW 7: Redo the midterm for Questions that had less than 60% of the total grade. Deadline to request a midterm regrade request, 5pm Mar 29. Drop your midterm at 246 or 258 CSL. Quiz 2 Quiz 2 Solution Apr 3 Reliability evaluation applications: Mean time to failure Failure rates Hazard functions Moments: Mean and variance Mean/variance of important random variables Functions of random variables Lecture 17 Apr 5 Joint Distribution Functions Independence of Random Variables Covariance and Correlation Lecture 18 In-class Group Activity 5 In-class Group Activity 5 solution HW 8 HW 8 pdf HW 8 solution HW 7: Redo midterm (paper) due in class. Apr 10 Joint probability distributions Lecture 19 Apr 12 Joint Probability Distributions Binary Hypothesis Testing Lecture 20 HW 9 HW 9 (Solution) Final Project posted Apr 17 Types of Errors Receiver Operating Characteristics (ROC) Curve Binary Hypothesis Testing (continued) Maximum Likelihood and Maximum a Posteriori Parts of the Powerpoint scribble notes were missing, so please refer to Echo360 for a full recording of the lecture. Lecture 21 Apr 19 Binary Hypothesis Testing (cont.) Lecture 22 HW 10 HW 10 (Solution) Group Activity 6 Group Activity 6 (Solution) HW9 due Apr 24 Limit Theorems Lecture 23 and 24 Apr 26 Limit Theorems (cont.) Markov Inequality Lecture 25 HW 10 due May 1 Final Exam Review Lecture 26 Problems on covariance and correlation Problems on joint distributions May 3 Final Exam Review Lecture 26 (cont.) Lecture 27 May 6 Final Project Presentation: 12pm - 4pm Location: 1013 ECEB May 11 Final Exam: 8:00am - 11:00 am Location: 2015 and 2017 ECEB