An introduction to the application of advanced analytical, statistical and numerical techniques to the solution of civil engineering problems. Review of analytical techniques. Addressing issues of variability and uncertainty in civil and environmental engineering. Statistical and stochastic representation of stochastic systems. Applied data analysis. Decision making under uncertainty and risk. Bayesian decision theory. Single- and multi-objective optimisation. Linear and dynamic programming. Numerical solution of linear and non-linear equations; numerical integration, finite differences; differential equations, boundary value problems, initial value problems and partial differential equations.