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 should be able to:
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.
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.
No requirements listed
Module Content & Assessment
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.
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
Other
2 x In class exams on topics covered
1,2,3,4
20.00
n/a
Short Answer Questions
Short answer questions of the topics covered to enable students to practice and consolidate their mathematical knowledge.
1,2,3,4
20.00
n/a
No Project
No Practical
End of Module Formal Examination
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Formal Exam
No Description
1,2,3,4
60.00
End-of-Semester
SETU Carlow Campus reserves the right to alter the nature and timings of assessment