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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

Please note that module leaders are reviewing the module teaching and assessment methods for Semester 2 modules, in light of the Covid-19 restrictions. There may also be a few further changes to Semester 1 modules. Final information will be available by the end of August 2020 in for Semester 1 modules and the end of October 2020 for Semester 2 modules.

Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture360:3018:00Recorded Lectures
Structured Guided LearningLecture materials182:0036:00Lecture Notes
Guided Independent StudyAssessment preparation and completion15:005:00Numerical Methods Coursework
Guided Independent StudyAssessment preparation and completion15:005:00Statistical Coursework
Guided Independent StudyAssessment preparation and completion151:0015:00Alternative Assessment
Guided Independent StudySkills practice62:0012:00Problem Sheet Exercises
Scheduled Learning And Teaching ActivitiesScheduled on-line contact time91:009:00Synchronous tutorials
Total100:00
Teaching Rationale And Relationship

Recorded lectures will complement the prepared lectured notes and problem sheets, reinforcing and expanding on the essential points introduced each week.

The problem sheets provide practice material and the on-line synchronous sessions will be used to discuss both these problems and others raised by the students, as well as to provide feedback to students on assessed work.

Assessment Methods

Please note that module leaders are reviewing the module teaching and assessment methods for Semester 2 modules, in light of the Covid-19 restrictions. There may also be a few further changes to Semester 1 modules. Final information will be available by the end of August 2020 in for Semester 1 modules and the end of October 2020 for Semester 2 modules.

The format of resits will be determined by the Board of Examiners

Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises2M10Numerical Methods
Prob solv exercises2M10Statistical Methods
Written exercise2A80Alternative Assessment
Assessment Rationale And Relationship

The assessment provides an appropriate way to assess both theoretical understanding and practical problem solving skills. The in-course assessment enables more detailed engineering problems to be considered in greater depth and software use skills to be employed.

Reading Lists

Timetable