Module Details

Module Code: STAT7003
Title: Technological Mathematics 302
Long Title: Technological Mathematics 302 (Probability & Statistics)
NFQ Level: Intermediate
Valid From: Semester 2 - 2014/15 ( January 2015 )
Duration: 1 Semester
Credits: 5
Field of Study: 4620 - Statistics
Module Delivered in: 2 programme(s)
Module Description: This module provides an introduction to both probability models and statistical procedures for technology.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Graphically display and numerically summarise data using methods of descriptive statistics
LO2 Apply the rules of probability and use probability models for data analysis
LO3 Compute and interpret point and interval estimates of population parameters
LO4 Describe the structure of a statistical test of hypothesis
LO5 Use mathematical and statistical techniques for fitting curves to data
LO6 Construct and interpret control charts for the sample mean and sample range
Dependencies
Module Recommendations

This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named MTU module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements

This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.
No requirements listed
 
Indicative Content
Data Collection & Presentation
Collection & presentation of data. Basic descriptive statistics. Histograms, box plots, stem & leaf plots. Calculation of summary statistics.
Probability
Classical, relative frequency and axiomatic definitions. Laws of probability, conditional probability, independent events, mutually exclusive events.
Probability Distributions
Random variables. Discrete and continuous distributions. Nature of probability density functions & cumulative density functions. Binomial, Poisson, normal, exponential distributions. Use of tables.
Introduction to Sampling
Sampling distribution of the mean and confidence intervals. The structure of a hypothesis test.
Curve Fitting
Finite differences, least squares regression, Lagrangian interpolation.
Control Charts
Common causes and assignable causes, control charts for the sample mean and the sample range. Tests for assignable causes.
Module Content & Assessment
Assessment Breakdown%
Coursework100.00%

Assessments

Coursework
Assessment Type Other % of Total Mark 30
Timing Week 5 Learning Outcomes 1
Assessment Description
In Class Examination
Assessment Type Other % of Total Mark 30
Timing Week 9 Learning Outcomes 2
Assessment Description
In Class Examination
Assessment Type Other % of Total Mark 40
Timing Sem End Learning Outcomes 3,4,5,6
Assessment Description
In Class Examination
No End of Module Formal Examination
Reassessment Requirement
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.

The University reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact No Description Every Week 3.00 3
Tutorial Contact No Description Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Class Notes & Exercise Sheets Every Week 3.00 3
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Module Content Every Week 3.00 3
Tutorial Contact Exercise Sheets Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Class Notes & Exercise Sheets Every Week 3.00 3
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
 
Module Resources
Recommended Book Resources
  • Montgomery, D.C. & Runger G.C.. (2006), Applied Statistics and Probability for Engineers, 4. Wiley, p.784, [ISBN: 0471745898].
Supplementary Book Resources
  • Johnson, R., Miller, I and Freund J.. (2004), Probability and Statistics for Engineers, 7. Prentice Hall;, [ISBN: 0131437453].
  • Ross S.M. (2004), Introduction to Probability and Statistics for Engineers and Scientists,, 3. Academic Press, [ISBN: 0125980574].
This module does not have any article/paper resources
This module does not have any other resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_EBIME_6 Higher Certificate in Engineering in Biomedical Engineering 4 Group Elective 1
CR_EMECN_7 Parttime - Bachelor of Engineering in Mechanical Engineering 6 Group Elective 1