Module Title:Engineering Mathematics 5
Language of Instruction:English
Credits: 5
NFQ Level:7
Module Delivered In 8 programme(s)
Teaching & Learning Strategies: 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 Assessment70.00%
Practical30.00%
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

ITCarlow reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Frequency Average Weekly Learner Workload
Lecture 12 Weeks per Stage 3.00
Lab/Lecture 12 Weeks per Stage 2.00
Independent Learning 15 Weeks per Stage 4.33
Total Hours 125.00
 

Module Delivered In

Programme Code Programme Semester Delivery
CW_EEAER_B Bachelor of Engineering (Honours) in Aerospace Engineering 5 Mandatory
CW_EFARG_B Bachelor of Engineering (Honours) in Agricultural Systems Engineering 5 Mandatory
CW_EMMEC_B Bachelor of Engineering (Honours) in Mechanical Engineering 5 Mandatory
CW_EERAS_B Bachelor of Engineering (Honours) in Robotics and Automated Systems 5 Mandatory
CW_EFARG_D Bachelor of Engineering in Agricultural Systems Engineering 5 Mandatory
CW_EEACS_D Bachelor of Engineering in Aircraft Systems 5 Mandatory
CW_EEMEC_D Bachelor of Engineering in Mechanical Engineering 5 Mandatory
CW_EERAS_D Bachelor of Engineering in Robotics and Automated Systems 5 Mandatory