Lecture
This lecture covers the Taylor methods and point estimates used in risk analysis and management, focusing on the random nature of phenomena, Monte Carlo methods, and uncertainties in civil engineering. It explains the means and standard deviations of input and output variables, the series development of Taylor, and methods of approximation. The lecture also discusses the calculation steps of the Rosenblueth method, input variable discretization, and the passage of variables to functions. It concludes with the calculation steps for the Rosenblueth method, emphasizing the importance of reliability and security in civil engineering systems.