This module builds upon the knowledge gained from the second year of the course and introduces new mathematical concepts and techniques in calculus matrix algebra and statistical distributions.
*Curricular information is subject to change
- Matrix Algebra:
- Analysis of systems of linear equations. Gaussian elimination
- Inverse matrix by elementary row operations – Gauss-Jordan.
- Iterative techniques for solution of simultaneous equations Gauss-Seidel.
- Eigenvalues and eigenvectors
- Statistics and data analysis:
- Normal, Binomial, Poisson distributions
- Sampling distributions and confidence intervals. Hypothesis testing. Student’s t-distribution
- Correlation and regression: Curve fitting by method of least squares. Confidence intervals for parameters
- Mathematical distribution of failure times, Weibull distribution
- Extreme value statistics – Gumbel, Weibull and Generalised Extreme Value distributions
Coursework assignments will be computer-based, using software such as Excel to solve numerical problems applied to civil and structural engineering, based on the mathematical topics included in the module. The computing skills required will have been covered in the previous semester – the emphasis here will be on applying these skills to solve real-world engineering problems.
Three hours of lectures and 1 hour tutorials per week
Six hours in computer laboratory over the semester
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 55 |
| Other Assessment(s) | 45 |