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 Assessment
100.00%
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