Module Details

Module Code: MATH C3501
Module Title: Engineering Mathematics III
Title: Engineering Mathematics III
Module Level:: 8
Credits:: 5
Module Coordinator: Eoin Homan
Module Author:: Ciara Fitzpatrick
Domains:  
Module Description: The aim of this module is to develop students' understanding of differential equations and the application of these equations to civil engineering systems.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Solve more complicated first and second order ordinary differential equations.
LO2 Formulate and solve certain types of initial value and boundary value problems encountered in a civil engineering context.
LO3 Understand the application of partial differential equations to certain engineering applications.
LO4 Use a variety of numerical techniques for solving differential equations.
Dependencies
Module Recommendations

This is prior learning (or a practical skill) that is recommended before enrolment in this module.
No recommendations listed
Co-requisite Modules
No Co-requisite modules listed
Additional Requisite Information
No Co Requisites listed
 
Indicative Content
Further ordinary differential equations
(a) Review of first order separable and homogeneous first order ODEs. (b) Linear first order ODEs. (c) Review of linear second order ODEs with constant coefficients. (d) More complicated forms of non-homogeneous linear second order linear ODEs. (e) Initial value and boundary value problems. (f) Systems of linear first order ODEs.
Applications of ordinary differential equations
(a) Formulation of simple first order initial value problems. (b) Application of second order ODEs to free and forced vibrations, resonance and damping.
Introduction to partial differential equations
(a) Introduction to formulation of the 1-D and 2-D heat conduction equation, diffusion equation and Laplace's equation. (b) Introduction to common solutions for these PDEs.
Numerical methods for solving differential equations
(a) Euler's first order method. (b) Higher order methods including Range-Kutta. (c) Introduction to finite difference and finite element methods.
Module Content & Assessment
Assessment Breakdown%
Continuous Assessment100.00%

Assessments

Full Time

Continuous Assessment
Assessment Type Examination % of Total Mark 40
Timing Week 8 Learning Outcomes 1,2,4
Non-marked No
Assessment Description
Class test 1
Assessment Type Examination % of Total Mark 30
Timing Week 13 Learning Outcomes 1,2,3,4
Non-marked No
Assessment Description
Class test 2
Assessment Type Short Answer Questions % of Total Mark 20
Timing Ongoing Learning Outcomes 1,2,3
Non-marked No
Assessment Description
quiz questions
Assessment Type Practical/Skills Evaluation % of Total Mark 10
Timing Ongoing Learning Outcomes 4
Non-marked No
Assessment Description
Computer practical tasks
No Project
No Practical
No End of Module Formal Examination
Reassessment Requirement
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
Reassessment Description
Repeat written examination covering learning outcomes 1, 2, 3 and 4.

SETU Carlow Campus reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Workload Category Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact No Description 12 Weeks per Stage 3.00 36
Estimated Learner Hours Non Contact No Description 15 Weeks per Stage 6.00 90
Total Weekly Contact Hours 3.00
 
Module Resources
Recommended Book Resources
  • J. O. Bird. (2021), Bird's Higher Engineering Mathematics, 9th. Routledge, [ISBN: 9780367643737].
  • K.A. Stroud,Dexter Booth. (2020), Advanced Engineering Mathematics, Red Globe Press, p.1428, [ISBN: 9781352010251].
  • K.A. Stroud, Dexter Booth. (2020), Engineering Mathematics, 8th. Red Globe Press, [ISBN: 9781352010275].
Supplementary Book Resources
  • Wei-Chau Xie. (2010), Differential Equations for Engineers, 1st. Cambridge University Press, [ISBN: 9781107632950].
This module does not have any article/paper resources
Other Resources
Discussion Note: