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. Prentice-Hall, 1996. ISBN: 0135197031.

L1 Course Introduction
Course Logistics
Repeated Trials, Virtual Experiments, Probability, Statistics
D1.1
R1 Programming in MATLAB®
Plotting Data
E2.1-2.6
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
D1.2-1.4
R2 MATLAB® Operations
Internal MATLAB® Functions. Common MATLAB® Operations, Element-wise Computations, Loops
Translating Equations to Programs
E3.1-3.4
L4 Joint Probability, Independence, Repeated Trials
Joint Probability, Independent Events, Repeated Trials
D2.1-2.2
L5

Combinatorial Methods
Counting Rules, Combinatorial Techniques for Evaluating Probabilities. Examples

D2.3
R3 MATLAB® Tests and Loops
Relational and Logical Operations, User-defined Functions, if Tests. Virtual Experiments
E3.5-3.6
L6 Conditional Probability and Bayes Theorem
Joint Probability, Conditional Probability, Prior & Posterior Probabilities, Bayes Theorem
Engineering Applications
D2.4-2.5
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
D3.1-3.2,
E4.1-4.2
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
D3.4-3.6,
D4.3-4.6
L11 Multivariate Probability
Multiple Random Variables, Joint and Conditional Distributions, Independence, Covariance and Correlation
Computing Conditional Probabilities in MATLAB®
D5.1-5.2
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.

D5.3-5.5
L14 Estimation
Estimating Distributional Properties, Assessing Estimation Error
Comparing Alternative Estimators
D6.1-6.2
L15 Confidence Intervals
Basic Concepts, Large Sample Confidence Intervals for the Population Mean
Computing Large Sample Confidence Intervals
D7.1-7.3
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®
D8.1-8.5
L17 Testing Hypotheses about Two Populations
Large Sample Tests of Hypotheses about Two Populations
Controlled Experiments
Applications Using MATLAB®
D9.1-9.3
R8 Quiz Review
Quiz 2
L18

Small Samples
t, chi-squared and F statistics. Small sample confidence intervals and hypothesis tests. Applications using MATLAB®.

L19-L20 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 Single-Factor Model, Significance Testing
Applications on MATLAB®
D11.1-11.4
Examples
L22 Linear Regression
Objectives and Assumptions of Linear Regression, Estimating Regression Coefficients, Normal Equations
Some Typical Environmental Applications
D12.1-12.2
R11 Quiz Review
L23 Analyzing Regression Results
Accuracy of Regression Estimates and Predictions, Prediction Confidence Intervals, Testing Significance
Continuation of Environmental Examples
D12.3-12.4
Quiz 3
Some Practical Applications