An introduction to the application of advanced analytical, statistical and numerical techniques to the solution of engineering problems relevant to civil and environmental engineers and surveyors. Review of analytical techniques. Addressing issues of variability and uncertainty in engineering. Descriptive statistics. Foundations of Probability. Random variables. Special distributions (discrete and continuous). Normal distribution, sampling distributions. Confidence Intervals. Hypothesis testing. Inferences for proportions, variances and means. Regression. ANOVA. Numerical solution of linear and non-linear equations; numerical differentiation and integration, finite differences; differential equations, boundary value problems, initial value problems and partial differential equations.
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