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

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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 of

mathematics this module will contextualise core content to their field of study

throughout and apply the content to real life problem solving situations.
The

approach 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.

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Indicative Syllabus Content 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

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Journals and Websites show detail >>

Curricular information is subject to change
http://opac.ittralee.ie/record=b1101051

Documents

Engineering Mathematics 5.pdf