The aim of the module is to further develop students' mathematical skills in calculus and linear algebra and to enable them to apply these skills to engineering applications.
Learning Outcomes
On successful completion of this module the learner will be able to:
#
Learning Outcome Description
LO1
Evaluate the determinants and determine the inverses of 2nd and 3rd order matrices.
LO2
Use the matrix inverse to solve linear systems.
LO3
Apply differential calculus to a variety of engineering applications such as calculation of local maxima and minima etc.
LO4
Apply integral calculus to a variety of engineering applications such as calculation of volumes, summations etc.
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
Matrices & Determinants (25 hours lectures)
(a) Evaluation of 2nd & 3rd order determinants
(b) Inverse of 2nd & 3rd order matrices
(c) Solving linear systems using these theories
Calculus (25 hours lectures)
(a) Differentation using the product rule, quotient rule and chain rule.
(b) Applications of differentiation to practical engineering problems.
(c) Integration of the more common engineering functions using the tables
(d) Integration by substitution, parts and partial fractions
(e) Basic engineering applications of integration.
Module Content & Assessment
Assessment Breakdown
%
Continuous Assessment
40.00%
End of Module Formal Examination
60.00%
Assessments
Full Time
Continuous Assessment
Assessment Type
Other
% of Total Mark
20
Timing
n/a
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description 2 x In class exams on topics covered
Assessment Type
Short Answer Questions
% of Total Mark
20
Timing
n/a
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description Short answer questions of the topics covered to enable students to practice and consolidate their mathematical knowledge.
No Project
No Practical
End of Module Formal Examination
Assessment Type
Formal Exam
% of Total Mark
60
Timing
End-of-Semester
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description No Description
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
Every Week
3.00
3
Estimated Learner Hours
Non Contact
No Description
Every Week
3.00
3
Total Weekly Contact Hours
3.00
Module Resources
Recommended Book Resources
K. A. Stroud; with additions by Dexter J. Booth. (2001), Engineering mathematics, Palgrave, Basingstoke, [ISBN: 1137031204].
K A Stroud. Advanced Engineering Mathematics, Palgrave Macmillan, p.1136, [ISBN: 9780831134499].
John O. Bird, A.J.C. May. Technicians Mathematics, Longman, p.136, [ISBN: 0582415764].
This module does not have any article/paper resources