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Module

CEG2002 : Statistics and Numerical Methods for Civil Engineers

  • Offered for Year: 2020/21
  • Module Leader(s): Dr David Swailes
  • Lecturer: Professor Robin Henderson
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semesters
Semester 2 Credit Value: 10
ECTS Credits: 5.0

Aims

The aims of the module are:-

1. To introduce a basic understanding of statistical methods and data analysis in the context of Civil Engineering.

2. To introduce the statistical analysis program Minitab.

3. To extend students' knowledge, understanding and use of differential equations.

4. To impart a basic working knowledge of a range of widely used numerical techniques with some of the underpinning theoretical ideas.

Outline Of Syllabus

Probability, Sampling, descriptive statistics, discrete and continuous
probability, distributions (binomial, Poisson, uniform, normal,
exponential), linear combination of variables, central limit theorem,
confidence intervals for mean hypothesis testing and goodness of fit,
regression, introduction to Minitab.
Basic decision theory (statistical games, decision criteria, the
theory in practice).

Numerical methods for large systems of linear equations; decomposition
and iterative techniques. Numerical determination of eigen-solutions
for large systems; Power Method and related algorithms.

Numerical methods for first-order ordinary differential equations:
Single and multi-step schemes. Error and stability analysis using Taylor series.
Numerical treatment of higher-order differential equations and first-
order systems.

Numerical integration: Romberg integration, Gaussian quadrature, error
analysis.

Introduction to MATLAB.

Engineering applications of numerical techniques; structural
vibrations, flow dynamics and control, evaluation of decision criteria
in optimization, reliability analysis and risk assessment.

Teaching Methods

Module leaders are revising this content in light of the Covid 19 restrictions.
Revised and approved detail information will be available by 17 August.

Assessment Methods

Module leaders are revising this content in light of the Covid 19 restrictions.
Revised and approved detail information will be available by 17 August.

Reading Lists

Timetable