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Module Manager
ACADEMIC YEAR ___________
Module Detail
Title Advanced Applied Mathematics for Engineers 1
(maximum 50 characters)
Description
This course introduces some advanced methods of applied mathematics for solving
ordinary differential equations and using complex analysis, with a view to engineering
applications. The topics covered include: 1. Linear Second Order Ordinary Differential
Equations; 2. Power Series Solutions; 3. The Frobenius Method; 4. Special
Equations; 5. Complex Analysis; 6. Application to vibrations, waves, flows.
(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
Professor 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 the module
Optional = Choice for Student
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 1
Semester 1
Requisite(s)
Modules 
Co-Req.
If they take module X they must take
module Y
Modules 
Pre-Req
The student must have taken and
passed a module in previous year
Modules 
Excl.Req.
If they take module X they CANNOT
take module Y
Module Assessment
st
1 Sitting
2nd Sitting
Bonded Modules
Assessment Type
Exam Session
Duration
Written Paper
Semester 1
2 Hours
Continuous Assessment
Semester 1
Not Applicable
Written Paper
Autumn
2 Hours
Not Applicable
Common Bond
MP345
(modules which are to be
examined at the same date and
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time)
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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 10
No. of Labs Hours
Recommended No. of self study
hours 70
Other educational activities(Describe)
and hours allocated
Lecture Duration
Tutorial Duration
Lab Duration
Placement(s) hours
1 hour
1 hour
*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 should be able to:
1 Find the general solution to a second-order linear differential equation with constant
coefficients when it is homogeneous, and a particular solution when it is
inhomogeneous;
2 Find a second, linearly independent, solution to a second-order differential equation
when one is known;
3 Compute the first few terms of a power series or Frobenius series solution to a
second-order linear equation with variable coefficients, when it exists;
4 Derive orthogonality relations for trigonometric, Legendre and Bessel functions;
5 Compute real integrals using the theorems of complex contour integration;
6 Draw fields described by complex analytic functions.
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,
Written Paper
MCQ
eg. End of year exam, group project
Outcomes
assessed
% weighting
1, 2, 3, 4, 5 ,6
80
1, 2, 3, 4
20
Indicative Content (Marketing Description and content)
ordinary differential equations;
series solutions;
special functions;
vibrations, waves, flows.
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Module Resources
Suggested Reading Lists
E. Kreyszig, Advanced Engineering Mathematics, Wiley
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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