(a) A series of lectures will be delivered using whiteboard and data projector.
(b) The Institute Managed Learning Environment will be used to interactively communicate with students e.g. on-line test, discussion forums, reference information
(c) Mathematical software (e.g. Matlab) will be used by students to re-enforce the mathematical principles and practices
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
Demonstrate a competence in differentiating a variety single variable and multi variable functions.
LO2
Apply differentiation to a range of real problems in Engineering.
LO3
Demonstrate a competence in integrating a variety of functions and solve simple first order differential equations.
LO4
Apply integration to a range of real problems in Engineering.
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 1” or equivalent
Module Content & Assessment
Indicative Content
(b)Integration
The integral as an anti-derivative. Integration of basic functions by rule. Integration of functions using the special methods of partial fractions, algebraic substitutions and integration by parts. Areas under curves, average and RMS values using the definite integral. Application of integration to areas of engineering
(a) Differentiation
First principles, differentiation as rate of change and slope of a tangent. Basic, product, quotient and chain rules. Applications of derivative to engineering.
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
Case Studies
n/a
1,2,3,4
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
n/a
1,2,3,4
60.00
End-of-Semester
SETU Carlow Campus reserves the right to alter the nature and timings of assessment