Engineering Probability and Statistics with Civil Engineering Problems

Engineering decisions are always made under conditions of uncertainty, whether you are designing a bridge, managing a watershed, or planning transit systems. This course provides a clear, step-by-step introduction to probability and statistics specifically tailored to engineering contexts. You will learn how to model uncertainty and use statistical tools to make reliable, data-driven decisions. By working through practical engineering scenarios, you will transition from understanding basic probability concepts to calculating complex moments and analyzing functions of multiple random variables. This text-based course emphasizes conceptual clarity, mathematical rigor, and direct application to physical systems. What you'll learn: - Understand the foundational concepts of probability theory and random variables in engineering - Calculate the expectation and variance of single and joint random variables - Determine the moments of variables and vectors to describe data distributions - Analyze functions of random variables to predict system behavior under uncertainty - Apply statistical models to civil and environmental engineering problem-solving - Evaluate risk and reliability using modern probabilistic design principles This course begins with core definitions and basic probability axioms before moving into expectations, moments, and multi-variable systems. Each section features written explanations, step-by-step derivations, and practical engineering problems to reinforce your learning. This course is designed for engineering students, practicing civil and environmental engineers, and anyone looking for a solid, beginner-friendly foundation in engineering statistics. No advanced prior knowledge of statistics is required, though a basic understanding of calculus is helpful. Start building your engineering analytical skills today.