To give the students the knowledge, competencies and skills necessary to support the mathematical procedures encountered in the other modules of this course.
Learning Outcomes
On successful completion of this module the learner will be able to:
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Learning Outcome Description
LO1
Solve Second order differential equations.
LO2
Solve initial value problems through the application of Laplace transforms.
LO3
Analyse periodic waveforms through the application of Fourier series.
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
A.Differential Equations
Solve second order homogeneous and non-homogeneous differential equations.
B.Fourier Series
Recognise periodic functions. Even and odd functions. Be able to obtain the Fourier Series of a periodic function. Derive half-range sine and cosine series
C.Laplace Transforms
Find the Laplace Transform of standard functions. Find inverse Laplace Transforms. Find the Laplace Transform of derivatives and use Laplace Transforms to solve IVP's.
Module Content & Assessment
Assessment Breakdown
%
Continuous Assessment
40.00%
End of Module Formal Examination
60.00%
Assessments
Full Time
Continuous Assessment
Assessment Type
Examination
% of Total Mark
40
Timing
n/a
Learning Outcomes
1,2,3
Non-marked
No
Assessment Description A number of CA’s will be evenly spaced throughout the Semester to allow timely feedback to be provided”.
No Project
No Practical
End of Module Formal Examination
Assessment Type
Formal Exam
% of Total Mark
60
Timing
End-of-Semester
Learning Outcomes
1,2,3
Non-marked
No
Assessment Description Each student will sit a formal written examination at the end of the module for which 60% will be awarded.
Part Time
Continuous Assessment
Assessment Type
Examination
% of Total Mark
40
Timing
n/a
Learning Outcomes
1,2,3
Non-marked
No
Assessment Description A number of CA’s will be evenly spaced throughout the Semester to allow timely feedback to be provided”.
No Project
No Practical
End of Module Formal Examination
Assessment Type
Formal Exam
% of Total Mark
60
Timing
End-of-Semester
Learning Outcomes
1,2,3
Non-marked
No
Assessment Description Each student will sit a formal written examination at the end of the module for which 60% will be awarded.
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