engineering mathematics 5.pdf
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Engineering Mathematics 5
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Department: Manufacturing
Engineering
Module Code: MATH71003
Level: Level 7 Contact Hours: 48
Duration: 1 Semester Directed Study Hours: 24
Effective Term: 2010/11 Indep. Study Hours: 28
Credits: 5
Prerequisite Knowledge:
Engineering Mathematics 3 and 4
Module Description/Aims:
This module builds on the students knowledge and skill s in calculus to
develop techniques for solving problems in Engineering. It aims to expose
students to typical engineering problems, have them design mathematical
models involving differential equations, and use these for predictions.
Contact Type Hours
Lecture 2 Per Week
Practical/Workshop 1 Per Week
Tutorial 1 Per Week
On successful completion of the module, the learner will be able to:
No. Description/Learning Outcomes
1 Solve first and second order differential equations using standard techniques
2 Model an engineering problem with a differential equation, solve it and
Main Description show detail >>
Contact Hours show detail >>
Learning Outcomes show detail >>
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interpret findings.
3 Calculate the Laplace Transforms of standard functions using tables
4 Use Laplace Transforms to solve differential equations
Learning Strategies
The student will engage with the content of the module through a mixture of
lecture, tutorial and practical work.
Acknowledging the percieved difficulty ofmathematics this module will contextualise core content to their field of study
throughout and apply the content to real life problem solving situations.
Theapproach will make use of context-specific problem based worksheets for students
to practice the procedures.
Content Detail
First Order
Differential
Equations
solve using the method of separable variables, solve linear differential
equations and exact differential equations
Second
Order
Differential
Equations
Use of auxiliary (characteristic) equation to solve linear constant
coefficient homogeneous 2nd Order Differential equations, extending
to non-homogeneous equations using the method of undetermined
coefficients (using complementary functions and particular integrals)
Laplace
Transforms
What is a Laplace Transform, finding Laplace Transforms using tables,
solving differential equations using Laplace Transforms
Modelling Modelling and Solving engineering problems using differential
equations
Assessment Strategies
A variety of assessment methods should be employed including short answer, open
ended, closed questions in task sheets, tests and assignments.
Learning Strategies show detail >>
Indicative Syllabus Content show detail >>
Assessment Strategies show detail >>
Indicative Assessments show detail >>
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Learning
Outcome
Assessment
Category Assessment Method Additional Information
%
alloc
1, 2 Continuous
Assessment
Class Exam 20
3, 4 Continuous
Assessment
Class Exam 20
1, 2, 3, 4 Final Exam
(Scheduled)
Final Written Exam 60
Type ISBN Title Author Publisher Year EditionLibrary
Link
Recommended 1403942463 Engineering Mathematics
Stroud, K.A.,
Palgrave Macmillan,
2007 6th view
Recommended 0831131691 Advanced Engineering
Mathematics
Stroud K.A.
MacMillan
2003 -
Type Description
Reading List show detail >>
Journals and Websites show detail >>
Curricular information is subject to change
http://opac.ittralee.ie/record=b1101051
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