ECE 313

PROBABILITY WITH ENGINEERING APPLICATIONS

Section A (Tue/Thu) - IYER

Weekly Schedule (Subject to Adjustment)

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Course Outline

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Lectures

Homework Problems and Solutions

Student Projects

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Exams

This is the tentative timeline of the class. (HW ICA and due dates are subject to change)

The midterm will take place on March 10th. 

Lecture recordings are available on Media Space. (Link)

Date Lecture Notes Concepts Suggested Chapters In-Class Notes Homework In-class Activity
Jan 20 (Tue) Lecture 1 Probability theory fundamentals
Algebra of events; Probability axioms		 Ch. 1–2 (Overview)      
Jan 22 (Thu) Lecture 2 Steps to problem solving; Combinatorial problems Ch. 2.1–2.3  

HW0 Released

  
Jan 27 (Tue) Lecture 3 Conditional probability
Bayes’ formula		 Ch. 3.1–3.2      
Jan 29 (Thu) Lecture 4 Total probability; Independence and mutual exclusivity Ch. 3.3–3.4  

HW0 Due (Before Class on Gradescope)

HW0 Solution

HW1 Released

  
Feb 3 (Tue) Lecture 5 Reliability evaluation applications:
Series systems		 Supplementary notes      
Feb 5 (Thu) Lecture 6 Reliability evaluation applications:
Parallel redundancy		 Supplementary notes  

HW1 Due (Before Class on Gradescope)

HW1 Solution

HW2 Released

 In-Class Activity 1
Feb 10 (Tue) Lecture 7 Bernoulli trials; TMR Ch. 4.6 (Binomial) Notes 1    
Feb 12 (Thu) Lecture 8 More reliability application examples Supplementary notes  

HW2 Due (Before Class on Gradescope)

HW2 Solution

HW3 Released

  
Feb 17 (Tue) Lecture 9 Intro to random variables (discrete & continuous)
PMF, CDF, PDF		 Ch. 4.1–4.5      
Feb 19 (Thu) Lecture 10 Important discrete RVs (Bernoulli, Binomial, Poisson, Geometric) Ch. 4.6–4.8  

HW3 Due

HW3 Solution

HW4 Released

 In-Class Activity 2
Feb 24 (Tue) Lecture 11 Important continuous RVs (Gaussian, exponential) Ch. 5.1–5.4      
Feb 26 (Thu) Lecture 12 Memoryless property; Relationship to Poisson Ch. 5.5  

HW4 Due

HW4 Solution

HW5 Released

  
Mar 3 (Tue) Lecture 13 Hypo-exponentials; TMR vs. TMR/simplex Ch. 5.5–5.6 (supplement)      
Mar 5 (Thu) Lecture 14 Hyper-exponentials Ch. 5.6 (supplement)  

HW5 Due

HW5 Solution

  
Mar 10 (Tue) Midterm Solutions MIDTERM EXAM     Quizzes  
Mar 12 (Thu) Lecture 16 Expectation Ch. 6.1–6.2      
Spring Break: March 15 – 23 (No classes Tue 3/18 & Thu 3/20)
Mar 24 (Tue) Lecture 17 Reliability evaluation apps: MTTF, failure rates, hazard functions Supplementary notes      
Mar 26 (Thu) Lecture 18 Moments; Mean & variance; Functions of RVs Ch. 6.3–6.5  

HW6 Released

  
Mar 31 (Tue) Lecture 19 Joint distribution functions; Independence of RVs Ch. 7.1–7.3      
Apr 2 (Thu) Lecture 20 Covariance & correlation Ch. 7.4–7.5  

HW6 Solution

HW7 Released 

 In-Class Activity 3
Apr 7 (Tue) Lecture 21 Joint probability distributions Ch. 7.6      
Apr 9 (Thu) Lecture 22 Binary hypothesis testing Supplementary notes  

HW7 Solution

HW8 Released

  
Apr 14 (Tue) Lecture 23 Types of errors; ROC curve Supplementary notes      
Apr 16 (Thu) Lecture 24 Max likelihood & MAP decision rules Supplementary notes  

HW8 Due

HW8 Solution

HW9 Released

 In-Class Activity 4
Apr 21 (Tue) Lecture 25 Limit theorems; Central limit theorem Ch. 8.1–8.3      
Apr 23 (Thu) Lecture 26 Markov inequality Ch. 8.4   HW9 Due  
Apr 28 (Tue) Lecture 27 Wrap up/Additional Topics        
Apr 30 (Thu) Lecture 28 Review for Final Exam Review materials      
May 5 (Tue) Lecture 29 Review for Final Exam Review materials     In-Class Activity 5

Note: The official last day of instruction campus-wide is May 6.