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Essential Information Required for 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
Professor Michel Destrade / Module Administrator Details
Ms. Mary Kelly
Please specify main contact person(s) for exam related queries and contact number /email
Module Code
(Office use only) / Module Type
Core= Student must take the module
Optional = Choice for Student
Optional for
Core for / ECTS
Multiple of 5 ects
5 ects10 ects15 ects20 ects25 ects30 ects35 ects40 ects45 ects50 ects55 ects60 ects65 ects65 ects70 ects75 ects80 ects85 ects90 ects
Course Requirement
(i.e. where a module has to be passed at 40%)
Semester Taught
Semester 1Semester 2SpringYear Long / Semester Examined
Semester 1Semester 2SpringSummer Autumn
Requisite(s) / 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 / Modules  /
Module Assessment
1st Sitting
2nd Sitting / Assessment Type
Written Paper Continuous AssessmentDepartmental AssessmentEssay Project Computer Based Exam MCQ Thesis - Major Thesis - MinorDissertation
Written Paper Continuous AssessmentDepartmental AssessmentEssay Project Computer Based Exam MCQ Thesis - Major Thesis - MinorDissertation
Written Paper Continuous AssessmentDepartmental AssessmentEssay Project Computer Based Exam MCQ Thesis - Major Thesis - MinorDissertation
Written Paper Continuous AssessmentDepartmental AssessmentEssay Project Computer Based Exam MCQ Thesis - Major Thesis - MinorDissertation / Exam Session
Semester 1Semester 2SpringSummer Autumn Not Applicable
Semester 1Semester 2SpringSummer Autumn Not Applicable
Semester 1Semester 2SpringSummer Autumn Not Applicable
Semester 1Semester 2SpringSummer Autumn Not Applicable / Duration
2 HoursNot Applicable
2 HoursNot Applicable
2 HoursNot Applicable
2 HoursNot Applicable
Bonded Modules
(modules which are to be examined at the same date and time) / Common BondShared Material BondCombined Paper Bond MP345
2 HoursNot Applicable


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 / Lecture Duration / 1 hour
No. of Tutorials Hours / 10 / Tutorial Duration / 1 hour
No. of Labs Hours / Lab Duration
Recommended No. of self study hours 70 / Placement(s) hours
Other educational activities(Describe) and hours allocated
*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, eg. End of year exam, group project / Outcomes assessed / % weighting
Written Paper Continuous AssessmentDepartmental AssessmentEssay Project Computer Based Exam MCQ Thesis - Major Thesis - MinorDissertation
Written Paper Continuous AssessmentDepartmental AssessmentEssay Project Computer Based Exam MCQ Thesis - Major Thesis - MinorDissertation
Written Paper Continuous AssessmentDepartmental AssessmentEssay Project Computer Based Exam MCQ Thesis - Major Thesis - MinorDissertation / 1, 2, 3, 4, 5 ,6
1, 2, 3, 4 / 80
20

Indicative Content (Marketing Description and content)

ordinary differential equations;
series solutions;
special functions;
vibrations, waves, flows.

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
(where applicable only) / Quota
(identify number per module where applicable only)
Module: Number:
Discipline involved in Teaching
*(drop down for disciplines within school) / Share of FTE
*(% 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 Page 1