# ENG06031 2013 Introduction to Engineering Mathematics

### General Details

Full Title
Introduction to Engineering Mathematics
Transcript Title
Intro Eng Maths
Code
ENG06031
Attendance
N/A %
Subject Area
ENG - Engineering
Department
MENG - Mech. and Electronic Eng.
Level
06 - NFQ Level 6
Credit
05 - 05 Credits
Duration
Semester
Fee
Start Term
2013 - Full Academic Year 2013-14
End Term
9999 - The End of Time
Author(s)
Declan Sheridan
Programme Membership
SG_EAUTM_N06 201300 Level 6 Certificate in Engineering in Automation and Electronics SG_EPOLY_S06 201300 Higher Certificate in Engineering SG_EMECH_N06 201300 Higher Certificate in Engineering SG_EAUTO_N06 201500 Level 6 Certificate in Engineering in Automation and Electronics SG_EAUTM_N06 201500 Level 6 Certificate in Engineering in Automation and Electronics
Description

This module is designed to prepare the student for progression onto the degree level 7 mathematics. It reintroduces the ideas of

differentiation from the basics up to partial differentiation,

integration from the basics up to integration by parts,

complex numbers

it also covers an

introduction to trigonometry

formula manipulation

The course is designed so that real life situations are used to demonstrate where the techniques are used.

### Learning Outcomes

On completion of this module the learner will/should be able to;

1.

perform differentiation using the substitution rule

2.

perform differentiation using the product and quotient rules

3.

Work out maximum values of functions and when they occur

4.

perform differentiation using logarithmic differentiation

5.

perform differentiation on parametric equations

6.

perform differentiation on implicit functions

7.

do calculations using partial differentiation

8.

perform integration using the substitution rule

9.

be able to calculate the area bounded by a function and the x-axis

10.

perform integration by parts operations

11.

be able to graph functions

12.

be able to represent complex numbers graphically in Argand diagram form

13.

be able to convert cartesian form of complex numbers into polar form and vice versa

14.

be able to perform mathematical operations on complex numbers

15.

perform mathematical operations using trigonometry

16.

be able to manipulate mathematical equations

### Module Assessment Strategies

• Assessment will be performed initially on a weekly basis using MCQs
• There will be a final examination

### Repeat Assessments

Repeat assessment will be by way of sitting another examination on the subject. Alternatively, at the discretion of the lecturer, assignemnts covering the deficient areas of the course may be set.

### Indicative Syllabus

• Operation of electronic calculator
• Formula manipulation and the use of brackets etc.
• Introduction to trigonometry
• Functions and graphs
• Introduction to differentiation
• Log tables and the basic differentials
• The substitution rule
• The product rule
• The Quotient rule
• Minimum and maximum calculations
• Logarithmic differentiation
• Differentiation of parametric equations
• Differentiation of implicit functions
• Partial differentiation
• Remainder and factor theorems
• Introduction to integration, basic rules and tips
• The substitution rule for integration
• calculations of area bounded by functions and the x-axis
• Integration by parts
• Complex numbers, representation, forms and converting between forms, performing mathematical operations on complex numbers.

### Coursework & Assessment Breakdown

Coursework & Continuous Assessment
20 %
End of Semester / Year Formal Exam
80 %

### Coursework Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Moodle MCQs Continuous Assessment Multiple Choice 20 % OnGoing

### End of Semester / Year Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Final Exam Final 2 hour terminal examination Final Exam UNKNOWN 80 % End of Year 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16

Type Location Description Hours Frequency Avg Workload
Lecture Distance Learning Suite Lecture 6 Weekly 6.00
Independent Learning UNKNOWN Preparation for online lecture 1.5 Weekly 1.50
Independent Learning UNKNOWN Revision of online lecture 1 Weekly 1.00
Independent Learning UNKNOWN Preparation for weekly quiz 1.5 Weekly 1.50
Independent Learning UNKNOWN Undertaling the online quiz 1.5 Weekly 1.50
Total Part Time Average Weekly Learner Contact Time 6.00 Hours

### Module Resources

Non ISBN Literary Resources

No books are essential for this course.

Reference material provided in Engineering mathematics by KA Stroud published by Palmgrave

Foundation Mathematics for Engineers by John Berry and Patrick Wainwright published by Macmillan

Project Maths Strand 1 & 2 by O.D. Morris published by the Celtic Press

Mathematical log tables

URL Resources

http://itsligo.learnonline.ie/course/view.php?id=120

Other Resources

Notes will be provided before the weekly lecture.

After the lecture has occured the lecturer may put up, on Moodle, solutions of the problems worked on during the class