The aim of the module is to develop students' mathematical and statistical skills and reasoning so that they can apply these skills to engineering applications.
Learning Outcomes
On successful completion of this module the learner will be able to:
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Learning Outcome Description
LO1
Use vector methods to solve simple problems involving forces and motion.
LO2
Use Gaussian elimination to solve sets of linear equations.
LO3
Assess the reliability of estimates of means from sample data.
LO4
Construct and interpret hypothesis tests for sample data.
Dependencies
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.
No recommendations listed
Co-requisite Modules
No Co-requisite modules listed
Additional Requisite Information
No Co Requisites listed
Indicative Content
Probability and statistics
(a) Review of the normal distribution probabilities (b) Sampling and sampling distributions (c) Confidence intervals and confidence limits for the mean (b) Hypothesis tests for the mean and the difference between two means (e) Chi-square goodness-of-fit test.
Introduction to vectors
(a) Definition of vectors and scalars (b) Vector algebra (c) Cartesian component vectors (d) Applications involving forces and motion.
Matrix methods
(a) Review of matrix algebra (b) Solving systems of linear equations using Gaussian and Gauss-Jordan elimination (d) Engineering applications.
Module Content & Assessment
Assessment Breakdown
%
Continuous Assessment
50.00%
End of Module Formal Examination
50.00%
Assessments
Full Time
Continuous Assessment
Assessment Type
Short Answer Questions
% of Total Mark
20
Timing
Ongoing
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description Quiz questions
Assessment Type
Examination
% of Total Mark
15
Timing
Week 6
Learning Outcomes
1,2
Non-marked
No
Assessment Description Class test
Assessment Type
Examination
% of Total Mark
15
Timing
Week 11
Learning Outcomes
3,4
Non-marked
No
Assessment Description Class test
No Project
No Practical
End of Module Formal Examination
Assessment Type
Formal Exam
% of Total Mark
50
Timing
End-of-Semester
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description End of module 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.
SETU Carlow Campus reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time
Workload Type
Workload Category
Contact Type
Workload Description
Frequency
Average Weekly Learner Workload
Hours
Lecture
Contact
No Description
12 Weeks per Stage
4.00
48
Estimated Learner Hours
Non Contact
No Description
15 Weeks per Stage
6.00
90
Total Weekly Contact Hours
4.00
Module Resources
Recommended Book Resources
J. O. Bird. (2021), Bird's Higher Engineering Mathematics, 8th. Routledge, p.916, [ISBN: 9780367643737].
Supplementary Book Resources
N. T. Kottegoda,R. Rosso. (2008), Applied Statistics for Civil and Environmental Engineers, Wiley-Blackwell, p.736, [ISBN: 9781405179171].
This module does not have any article/paper resources