The readings listed below are from two textbooks:
D: Devore, Jay L. Probability and Statistics for Scientists and Engineers. Duxbury Press, 2000. ISBN: 0495557447.
E: Etter, D. Introduction to MATLAB® for Engineers and Scientists. PrenticeHall, 1996. ISBN: 0135197031.
LEC/REC #  TOPICS  READINGS 

L1 
Course Introduction Course Logistics Repeated Trials, Virtual Experiments, Probability, Statistics 
D1.1 
R1 
Programming in MATLAB® Downloading Data, Accessing MATLAB®, MATLAB® Environment, Variables, Arrays, Scripts Plotting Data 
E2.12.6 
L2 
Descriptive Statistics Histograms, Percentiles, Mean, Median, Variance, etc. Characterizing Streamflow Data 

L3 
Probability Experiments, Outcomes, Sample Spaces, Events, Probability, Axioms of Probability Methods for Assigning Probabilities 
D1.21.4 
R2 
MATLAB® Operations Internal MATLAB® Functions. Common MATLAB® Operations, Elementwise Computations, Loops Translating Equations to Programs 
E3.13.4 
L4 
Joint Probability, Independence, Repeated Trials Joint Probability, Independent Events, Repeated Trials 
D2.12.2 
L5 
Combinatorial Methods Counting Rules, Combinatorial Techniques for Evaluating Probabilities. Examples 
D2.3 
R3 
MATLAB® Tests and Loops Relational and Logical Operations, Userdefined Functions, if Tests. Virtual Experiments 
E3.53.6 
L6 
Conditional Probability and Bayes Theorem Joint Probability, Conditional Probability, Prior & Posterior Probabilities, Bayes Theorem Engineering Applications 
D2.42.5 
L7 
Random Variables and Probability Distributions Definition of a Random Variable Cumulative Distribution Functions, Mass and Density Functions Using Distributions to Assign Probabilities 

R4  Virtual Experiments  
L8 
Expectation, Functions of a Random Variable Expectation, Population Mean and Variance Defining and Functions of a Single Random Variable Solving Derived Distribution Problems with Stochastic Simulation 
D3.13.2, E4.14.2 
L9 
Risk Defining and Evaluating Risk Engineering Applications 
D3.3 
R5  Quiz Review  
Quiz 1  
L10 
Some Common Probability Distributions Uniform, Exponential, Normal, and Lognormal Distributions Special Properties of Normal Random Variables Fitting Distributions to Data 
D3.43.6, D4.34.6 
L11 
Multivariate Probability Multiple Random Variables, Joint and Conditional Distributions, Independence, Covariance and Correlation Computing Conditional Probabilities in MATLAB® 
D5.15.2 
L12 
Functions of Many Random Variables Derived distributions for multivariate problems, moments of linear functions of several random variables. Central Limit Theorem 

R6  Time Series and Central Limit Theorem  
L13 
Populations and Samples Populations, random samples. Sample statistics, moments of the sample mean and variance. 
D5.35.5 
L14 
Estimation Estimating Distributional Properties, Assessing Estimation Error Comparing Alternative Estimators 
D6.16.2 
L15 
Confidence Intervals Basic Concepts, Large Sample Confidence Intervals for the Population Mean Computing Large Sample Confidence Intervals 
D7.17.3 
R7  Review  
L16 
Testing Hypotheses about a Single Population Formulating Hypothesis Testing Problems, Definitions Large Sample Tests of Hypotheses about a Single Population Applications Using MATLAB® 
D8.18.5 
L17 
Testing Hypotheses about Two Populations Large Sample Tests of Hypotheses about Two Populations Controlled Experiments Applications Using MATLAB® 
D9.19.3 
R8  Quiz Review  
Quiz 2  
L18 
Small Samples t, chisquared and F statistics. Small sample confidence intervals and hypothesis tests. Applications using MATLAB®. 

L19L20 
Analysis of Variance (ANOVA) Testing the Significance of a Single Factor, the F Test 

Review of Quiz 2, ANOVA examples  
L21 
Multifactor Analysis of Variance Extension of the SingleFactor Model, Significance Testing Applications on MATLAB® 
D11.111.4 
Examples  
L22 
Linear Regression Objectives and Assumptions of Linear Regression, Estimating Regression Coefficients, Normal Equations Some Typical Environmental Applications 
D12.112.2 
R11  Quiz Review  
L23 
Analyzing Regression Results Accuracy of Regression Estimates and Predictions, Prediction Confidence Intervals, Testing Significance Continuation of Environmental Examples 
D12.312.4 
Quiz 3  
Some Practical Applications 