ECE302H1F:               

 

ECE302H1F, Probability and Random Processes, (Fall 2009)

 

  Week Days Hours Location
    Lectures: Tuesday 14:00-15:00 GB220
  Wednesday 11:00-12:00 GB244
  Thursday 13:00-14:00 GB244

               

                                  

  Week Days Hours Location
    Office Hours: Tuesday 15:15-16:00 BA4124
  Wednesday 14:00-15:00 BA4124
       
       
    If you cannot meet during the office hours, send an email to valaee@comm.utoronto.ca to set an appointment.

               

 

Text:   

Alberto Leon-Garcia, Probability and Random Processes for Electrical Engineering, 3rd edition, Pearson Prentice Hall 2008.

 

Tutorials Location Time TA  
TUT01   Mon 3:00-5:00    
TUT02   Mon 3:00-5:00    
TUT03   Thu  4:00-6:00    
TUT04   Thu  4:00-6:00    
         
         

 

    Evaluation:

      
Final Exam 50%    
Midterm 30%               
Quizzes 20%               
       
       

 

 

Course Schedule:

Week 1

Date

Topic

Reading

  
 --------- -------- --------------- -  
 --------- -------- --------------- -  
Lecture 1 09/10/2009

Course Introduction and Probability Models and Example Applications
1.1, 1.2, 1.5  

Week 2

        
Lecture 2 09/15/2009 Experiments, Events, Sets 2.1.1, 2.1.2, 2.1.3  
Lecture 3 09/16/2009 Axioms of probability, 2.2,  
Lecture 4 09/17/2009 Relative Frequency 1.3.1, 1.3.2  

Week 3

        
Lecture 5 09/22/2009 Discrete and Continuous Sample Spaces 2.2.1, 2.2.2  
Lecture 6 09/23/2009 Conditional probability 2.4  
Lecture 7 09/24/2009 Bayes Rule, Independence of events 2.4.1, 2.5  

Week 4

        
Lecture 8 09/29/2009 Sequence of Independent Bernoulli Trials 2.6.1, 2.6.2, 2.6.4  
Lecture 9 09/30/2009 Sequence of Dependent Expts, Tree Diagram 2.6.5  
Lecture 10 10/01/2009 Random Variables 3.1  

Week 5

        
Lecture 11 10/06/2009 Discrete Random Variable and Probability Mass Function  3.2  
Lecture 12 10/07/2009 Expected Value (discrete) 3.3, 3.3.1  
Lecture 13 10/08/2009 Variance, Conditional PMF 3.3.2, 3.4.1  

Week 6

        
Lecture 14 10/13/2009 Conditional Mean, Bernoulli, Binomial 3.4.2, 3.5.1, 3.5.2  
Lecture 15 10/14/2009 Geometric, Poisson, Uniform 3.5.3, 3.5.4, 3.5.5  
Lecture 16 10/15/2009 Cumulative Distribution Function 4.1  

Week 7

        
Lecture 17 10/20/2009 Types of RV’s, PDF 4.1.1, 4.2  
Lecture 18 10/21/2009 PDF of Discrete RV’s, Conditional Distributions 4.2.1, 4.2.2  
mid term 10/21/2009   6:00-8:00 pm  
Lecture 19 10/22/2009 Expected Value (all types of RVs) 4.3, 4.3.1, 4.3.2  

Week 8

        
Lecture 20 10/27/2009 Uniform, Exponential, Gaussian 4.4.1, 4.4.2, 4.4.3  
Lecture 21 10/28/2009 Gamma, Beta, Cauchy, Pareto 4.4.4, 4.4.5, 4.4.6, 4.4.7  
Lecture 22 10/29/2009 Functions of a RV 4.5  

Week 9

        
Lecture 23 11/03/2009 Characteristic Function, Prob. Gen. Function, Moment Gen. Function 4.7.1, 4.7.2  
Lecture 24 11/04/2009 Random Vectors 5.1  
Lecture 25 11/05/2009 Joint PMF, Marginal PMF 5.2, 5.2.1  

Week 10

        
Lecture 26 11/10/2009 Joint CDF 5.3  
Lecture 27 11/11/2009 Joint PDF 5.4  
Lecture 28 11/12/2009 Joint PDF, Independence of RVs 5.4, 5.5  

Week 11

        
Lecture 29 11/17/2009 Expected Values with Two Random Variables 5.6.1, 5.6.2  
Lecture 30 11/18/2009 Conditional Distribution, given X = x 5.7.1  
Lecture 31 11/19/2009 Conditional Mean, given X = x 5.7.2  

Week 12

        
Lecture 32 11/24/2009 One Function of Two Random Variables 5.8.1  
Lecture 33 11/25/2009 Transformations of Two Random Variables 5.8.2, 5.8.3  
Lecture 34 11/26/2009 Jointly Gaussian Random Vectors 5.9  

Week 13

        
Lecture 35 12/01/2009 Sums of Random Variables 7.1.1, 7.1.2  
Lecture 36 12/02/2009 Central Limit Theorem 7.3, 7.3.1  
Lecture 37 12/03/2009 Definition of a Random Process 9.1  

Week 14

        
Lecture 38 12/08/2009 Describing a Random Process 9.2, 9.2.1, 9.2.2  
Lecture 39 12/09/2009 Multiple Random Processes 9.2.3  
         
         

 

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