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Module Manager
ACADEMIC YEAR ___________
Module Detail
Title Advanced Applied Mathematics for Engineers 2
(maximum 50 characters)
Description
This is a follow-up on the course Advanced Applied Mathematics for Engineers 1 (new
code). Topics covered include:
(i) The 1-dimensional heat equation. Introduction to Initial Value Boundary Value Problems.
Solution for various boundary conditions and initial conditions.
(ii) Sturm-Liouville Systems. General properties and application to simple systems.
(iii) The 2-dimensional Laplace equation. Solution for various boundary conditions on a
rectangular or rotationally symmetric region;
(iv) The Fourier Transform. Properties, the inverse transform. Application to solving the 1dimensional heat equation on an infinite region.
(v) Finite difference methods. Application to numerically solving the 1-dimensional heat
equation. Stability of numerical method
(brief description of the content of the module between 75 – 150 words)
*Note Field to indicate taught through Irish/English/Erasmus
English
Course Instances (s) ME Civil, Energy,
Mechanical, Biomedical, Electrical &
Electronic, Information Technology,
1SPE, 2SPE, 3SPE, 4SPE 1SPD,
2SPD, 3SPD, 4SPD
Module version number and date approved
xx/xx/2012
*
xx/xx/2012
xx/xx/2012
Date Retired
Module Owner / Lecturer
Module Administrator Details
Prof. Michel Destrade
Ms. Mary Kelly
Please specify main contact person(s) for exam related queries and contact number /email
Module Code
(
Module Type
Core= Student must take themodule
Optional = Choice for Student X
Office use only)
ECTS
Multiple of 5 ects
5 ects
Optional for
Core for
Course Requirement
(i.e. where a module has to be passed at 40%)
Semester Taught
Semester Examined
Semester 2
Requisite(s)
Semester 2
Co-Req.
Modules 
If they take module X they must
take module Y
Pre-Req
Modules 
MP231,MP232
The student must have taken and
passed a module in previous year
Excl.Req.
Modules 
If they take module X they
CANNOT take module Y
Draft Created by Syllabus Team as part of Academic Simplification 2012/2013
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Module Assessment
st
1 Sitting
2nd Sitting
Assessment Type
Exam Session
Duration
Written Paper
Semester 2
2 Hours
Written Paper
Autumn
2 Hours
Bonded Modules
Common Bond
(modules which are to be
examined at the same date and
time)
2 Hours
MP346
PART B
Workload:
ECTS credits represent the student workload for the programme of study, i.e. the total time
the student spends engaged in learning activities. This includes formal teaching, homework,
self-directed study and assessment.
Modules are assigned credits that are whole number multiples of 5.
One credit is equivalent to 20-25 hours of work. An undergraduate year’s work of 60 credits is
equivalent to 1200 to 1500 hours or 40 to 50 hours of work per week for two 15 week
semesters (12 weeks of teaching, 3 weeks study and formal examinations).
Module Schedule
No. of Lectures Hours 24
No. of Tutorials Hours 11
No. of Labs Hours
Recommended No. of self study
hours80
Other educational
activities(Describe)and hours
allocated
Lecture Duration
Tutorial Duration
Lab Duration
Placement(s) hours
*Total range of hours to be automatically totalled (min amount to be hit)
Module Learning Outcomes
(CAN BE EXPANDED)
On successful completion of this module the learner shouldbe able to:
1 Solve the 1-dimensional heat equation subject to different boundary conditions and
initial conditions.
2 Prove orthogonality of eigensolutions and reality of eigenvalues of a Sturm-Liouville
system.
3 Apply Sturm-Liouville method to obtain the solution in simple examples.
4 Solve the 2-dimensional Laplace equation subject to different boundary conditions
in a rectangular or rotionally symmetric region.
5 Solve the 1-dimensional heat equation on an infinite region by use of the Fourier
transform.
6 Solve the 1-d heat equation numerically by use of the finite difference method
7
8
Module Learning, Coursework and Assessment
Learning Outcomes at module level should be capable of being assessed. Please indicate assessment methods and the outcomes they will assess
Assessment type,
eg. End of year exam, group project
Continuous Assessment
Outcomes
assessed
1,2,3,4,5
Draft Created by Syllabus Team as part of Academic Simplification 2012/2013
% weighting
20
Page 2
Written Paper
1,2,3,4,5,6
80
Indicative Content (Marketing Description and content)
Partial Differential Equations; Heat Equation; Laplace Equation; Fourier Transforms;
Finite Differences.
Module Resources
Suggested Reading Lists
Advanced engineering mathematics, Erwin Kreizig
(Willey)
Library
Journal
Physical(e.g. AV’s)
IT(e.g. software + version)
Admin
FOR COLLEGE USE ONLY
Student Quota
Quota
(where applicable only)
(identify number per module where applicable only)
Module:
Number:
Discipline involved in Teaching
Share of FTE
*(drop down for disciplines within school)
*(% out of 1)
RGAM
NB:
Notes on some fields are for the technical side when considering which
software company to use.
Draft Created by Syllabus Team as part of Academic Simplification 2012/2013
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