Module Title:Mathematics and Statistics III
Language of Instruction:English
Credits: 5
NFQ Level:8
Module Delivered In 1 programme(s)
Teaching & Learning Strategies: Lectures, practicals, private study
Module Aim: The aim of the module is to develop students' ability to apply the concepts of probability and statistical analysis to civil engineering systems.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1 Apply appropriate probability distribution functions to examples encountered in a civil engineering context.
LO2 Complete reliability calculations for simple engineering systems.
LO3 Construct and interpret statistical quality control charts based on means and ranges.
LO4 Use regression analysis to explore relationships between variables and measure the strength of such relationships.
Pre-requisite learning
Module Recommendations

This is prior learning (or a practical skill) that is recommended before enrolment in this module.

No recommendations listed
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed.
No requirements listed

Module Content & Assessment

Indicative Content
Probability distributions
(a) Review of Binomial, Poisson, Geometric and Hypergeometric distributions. (b) Review of Uniform, Exponential, Normal distributions and Sampling distributions. (c) Application of these discrete and continuous probability distributions to civil engineering contexts.
Reliability and quality control
(a) Lifetime distributions and reliability calculations. (b) The Weibull distribution. (c) Statistical quality control. (d) Control charts based on means and ranges.
Regression and correlation
(a) Review of regression and correlation concepts previously covered. (b) Evaluating the linear regression model. (c) Regression analysis in Excel. (d) Confidence intervals and prediction intervals for the mean response. (e) Transforming non-linear models. (f) Multiple linear regression.
Assessment Breakdown%
Continuous Assessment60.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Examination Class Test 1 1,2 30.00 Week 8
Examination Class Test 2 4 15.00 Week 13
Short Answer Questions Quiz questions 1,2,4 15.00 Ongoing
No Project
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation Assessed Practical 1 3 10.00 Week 6
Practical/Skills Evaluation Assessed Practical 2 4 30.00 Week 12
No End of Module Formal Examination

SETU Carlow Campus reserves the right to alter the nature and timings of assessment


Module Workload

Workload: Full Time
Workload Type Frequency Average Weekly Learner Workload
Lecture 12 Weeks per Stage 2.00
Practicals 12 Weeks per Stage 1.00
Estimated Learner Hours 15 Weeks per Stage 7.00
Total Hours 141.00

Module Delivered In

Programme Code Programme Semester Delivery
CW_CMHCE_B Bachelor of Engineering (Honours) in Civil Engineering 6 Mandatory