(a) A series of lectures will be delivered using whiteboard and data projector.
(b) The Institute Virtual Learning Environment (VLE) will be used to interactively communicate with students e.g. on-line test, discussion forums, reference information
Module Aim:
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 should be able to:
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.
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
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed.
Mathematics 2 or equivalent
Module Content & Assessment
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.
Assessment Breakdown
%
Continuous Assessment
40.00%
End of Module Formal Examination
60.00%
Continuous Assessment
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Examination
A number of CA’s will be evenly spaced throughout the Semester to allow timely feedback to be provided”.
1,2,3
40.00
n/a
No Project
No Practical
End of Module Formal Examination
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Formal Exam
Each student will sit a formal written examination at the end of the module for which 60% will be awarded.
1,2,3
60.00
End-of-Semester
Continuous Assessment
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Examination
A number of CA’s will be evenly spaced throughout the Semester to allow timely feedback to be provided”.
1,2,3
40.00
n/a
No Project
No Practical
End of Module Formal Examination
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Formal Exam
Each student will sit a formal written examination at the end of the module for which 60% will be awarded.
1,2,3
60.00
End-of-Semester
SETU Carlow Campus reserves the right to alter the nature and timings of assessment