Module Title: Engineering Mathematics III English
 Credits: 5
 NFQ Level: 8
Module Delivered In 1 programme(s)
Teaching & Learning Strategies: Lectures, practicals, private study
Module Aim: 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 should be able to:
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.
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
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.
Assessment Breakdown%
Continuous Assessment100.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Examination Class test 1 1,2,4 40.00 Week 8
Examination Class test 2 1,2,3,4 30.00 Week 13
Short Answer Questions quiz questions 1,2,3 20.00 Ongoing
Practical/Skills Evaluation Computer practical tasks 4 10.00 Ongoing
 No Project
 No Practical
 No End of Module Formal Examination

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