• A series of lectures will be delivered using whiteboard and data projector.
• The Institute Managed Learning Environment will be used to interactively
communicate with students e.g. on-line test, discussion forums, reference
information
• Mathematical software (e.g. Matlab, Python) will be used by students to re-enforce the mathematical principles and practices
Module Aim:
To give the student sufficient mathematical knowledge to support the other modules of the course and provide a solid foundation for further studies.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1
Differentiate common mathematical functions
LO2
Apply differential calculus to the solution of engineering-type problems
LO3
Find the partial derivatives and total differentials of multivariable functions and use them to calculate small changes
LO4
Solve mathematical problems using computer programmes
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
Differentiation
Derivative in terms of the limit of a function Derivatives of common engineering functions and apply rules of differentiation
Second order derivatives and application to engineering problems
Second derivative test to find maxima, minima and points of inflection and applications in engineering and kinematics
Partial differentiation
Find the partial derivatives and total differentials of multivariable functions and use them to calculate small changes
Fourier Series
Recognise periodic functions. Fourier Series of a periodic function.
Software Applications
Solve engineering problems, plot graphs and perform mathematical computations through software packages such as Python and/or Matlab
Assessment Breakdown
%
Continuous Assessment
70.00%
Practical
30.00%
Continuous Assessment
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Examination
Each student will be obliged to complete a continuous assessment program for which 30% will be awarded.
1,2,3
70.00
n/a
No Project
Practical
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Practical/Skills Evaluation
Use of software techniques to solve mathematical problems
4
30.00
n/a
No End of Module Formal Examination
SETU Carlow Campus reserves the right to alter the nature and timings of assessment