Textbook readings are given as page numbers from this text:
Ang, Alfredo HS., and Wilson H. Tang. Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering. 2nd ed. New York, NY: John Wiley & Sons, 2006. ISBN: 9780471720645.
The following table provides information about the lecture (L) and recitation (R) sessions, and also shows when each of the lecture notes and application examples are presented.
SES #  LECTURE TOPICS  TEXTBOOK READINGS  NOTES  EXAMPLES  KEY DATES 

Events, their probability, and two important theorems  
L1  Introduction. Events and their properties  2743  
L2  Probability of events. Conditional probability, total probability theorem  4463  1  
L3  Independence, Bayes’ theorem  6365  1  2, 3, and 4  Homework 1 out 
R1  Total probability and Bayes’ theorems  
Random variables  
L4  Discrete random variables. Bernoulli and geometric distributions  8188 and 105111  5  
L5  Binomial and Poisson distributions  112118  2  6 
Homework 1 due Homework 2 out 
R2  Discrete random variables  
L6  Continuous random variables. Uniform and exponential distributions  118122  
L7  Hazard function, distributions of mixed type and distribution mixtures  3  7 and 8 
Homework 2 due Homework 3 out 

R3  Continuous random variables, and hazard function  Quiz 1  
Random vectors  
L8  Discrete random vectors  
L9  Continuous random vectors  131136  4  9 
Homework 3 due Homework 4 out 
R4  Random vectors  
Uncertainty propagation  
L10  Functions of random variables; linear functions  151156  
L11  Functions of random variables and vectors; monotonic and min/max functions  157160 and 172174  10, 11, and 12 
Homework 4 due Homework 5 out 

R5  Functions of random variables  Quiz 2  
L12  Functions of random vectors: sums of variables, gamma distribution  122125  5  
Second moment analysis  
L13  Expectation, second moment characterization of random variables, probabilistic moments  8893  Homework 5 due  
R6  Functions of random variables and vectors  
L14  Second moment (SM) and first order second moment (FOSM) propagation of uncertainty for variables  180186  Homework 6 out  
L15  Second moment characterization of random vectors; covariance and correlation coefficient  138140  
R7  Probabilistic moments, SM and FOSM propagation of uncertainty for variables  Quiz 3  
L16  SM and FOSM propagation of uncertainty for random vectors  186189  Homework 6 due  
L17  SM and FOSM propagation of uncertainty for random vectors  6  13 and 14  Homework 7 out  
R8  Variance, covariance, correlation, SM and FOSM propagation of uncertainty for random vectors  
Conditional second moment analysis  
L18  Conditional SM analysis for variables  
L19  Conditional SM analysis for vectors  7  15 and 16 
Homework 7 due Homework 8 out 

R9  Conditional SM analysis for variables  Quiz 4  
Important distribution models  
L20  Normal and lognormal distributions  96105 
Homework 8 due Homework 9 out 

R10  Conditional SM analysis. Important distribution models  
L21  Beta, extreme, and multivariate normal distributions  127131, 137, and 175179  8  17 and 18  
Statistics  
L22  Estimation of distribution parameters: general principles  Homework 9 due  
R11  Estimation of distribution parameters  Quiz 5  
L23  Method of moments  246251  Homework 10 out  
L24  Maximum likelihood and Bayesian estimation  251254 and 346357  9  19  Homework 10 due 
L25  Simple and multiple linear regression  306309, 313318, and 321325  
R12  Maximum likelihood and Bayesian estimation  
L26  Prefinal review 