To give the student sufficient mathematical knowledge to support the other modules of the course and provide a solid foundation for further studies
Learning Outcomes
On successful completion of this module the learner will be able to:
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Learning Outcome Description
LO1
Solve IVP's (linear differential equations) using Laplace Transforms.
LO2
Model uncertainty using Probability Distributions.
LO3
Use computer applications and programs to model mathematical systems
LO4
Apply differential equations to engineering applications.
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
None
Indicative Content
Laplace Transforms
Introduction to differential equations and their solutions.
Use Laplace Transforms to solve first and second order differential equations.
Probability Distributions
Random variables and simple probability distributions
Binomial and Poisson probability distributions.
Continuous random variables.
The Normal distribution.
Numerical Analysis Software
Application of numerical methods through software packages such as Python and/or Matlab
Module Content & Assessment
Assessment Breakdown
%
Continuous Assessment
70.00%
Practical
30.00%
Assessments
Full Time
Continuous Assessment
Assessment Type
Examination
% of Total Mark
70
Timing
n/a
Learning Outcomes
1,2,4
Non-marked
No
Assessment Description Each student will be obliged to complete a continuous assessment program
No Project
Practical
Assessment Type
Practical/Skills Evaluation
% of Total Mark
30
Timing
n/a
Learning Outcomes
3,4
Non-marked
No
Assessment Description Series of assessments based on the application of numerical methods through software
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.
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
3.00
36
Lab/Lecture
Contact
No Description
12 Weeks per Stage
2.00
24
Independent Learning
Non Contact
No Description
15 Weeks per Stage
4.33
65
Total Weekly Contact Hours
5.00
Module Resources
Recommended Book Resources
Kuldeep Singh. Engineering Mathematics Through Applications, Palgrave McMillan.
Supplementary Book Resources
Stroud. Engineering Mathematics, MacMillan.
Bird and May. Technician Mathematics 4 and 5, Longman.
Bird and May. Technician Mathematics 3, Longman.
This module does not have any article/paper resources