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Module

CEG2002 : Statistics and Numerical Methods for Civil Engineers

  • Offered for Year: 2023/24
  • Module Leader(s): Dr David Swailes
  • Lecturer: Dr David Walshaw
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semesters

Your programme is made up of credits, the total differs on programme to programme.

Semester 2 Credit Value: 10
ECTS Credits: 5.0
European Credit Transfer System

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 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 methods for linear partial differential equations:
Finite difference methods, explicit and implicit schemes and stability.

Engineering applications of numerical techniques; including structural vibrations, heat and flow dynamics and dispersion.

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Structured Guided LearningLecture materials182:0036:00Lecture Notes/Supplementary Recorded Lectures
Scheduled Learning And Teaching ActivitiesLecture201:0020:00Lectures
Guided Independent StudyAssessment preparation and completion151:0015:00Alternative Assessment
Guided Independent StudyAssessment preparation and completion15:005:00Statistical Coursework
Guided Independent StudyAssessment preparation and completion15:005:00Numerical Methods Coursework
Scheduled Learning And Teaching ActivitiesSmall group teaching91:009:00Tutorials
Guided Independent StudySkills practice52:0010:00Problem Sheet Exercises
Total100:00
Teaching Rationale And Relationship

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 tutorial 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

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

Exams
Description Length Semester When Set Percentage Comment
Written Examination1202A80N/A
Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises2M10Numerical Methods
Prob solv exercises2M10Statistical Methods
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