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) 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
Solve IVP's (linear differential equations) using Laplace Transforms.
LO2
Model uncertainty using Probability Distributions.
LO3
Use computer applications and programs to model mathematical systems
LO4
Apply differential equations to engineering applications.
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
Laplace Transforms
Introduction to differential equations and their solutions.
Use Laplace Transforms to solve first and second order differential equations.
Probability Distributions
Random variables and simple probability distributions
Binomial and Poisson probability distributions.
Continuous random variables.
The Normal distribution.
Numerical Analysis Software
Application of numerical methods 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
1,2,4
70.00
n/a
No Project
Practical
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Practical/Skills Evaluation
Series of assessments based on the application of numerical methods through software
3,4
30.00
n/a
No End of Module Formal Examination
SETU Carlow Campus reserves the right to alter the nature and timings of assessment