# ENG06069 2019 Introduction to Engineering Mathematics

### General Details

Full Title
Introduction to Engineering Mathematics
Transcript Title
Introduction to Engineering Ma
Code
ENG06069
Attendance
N/A %
Subject Area
ENG - Engineering
Department
MECT - Mechatronics
Level
06 - NFQ Level 6
Credit
05 - 05 Credits
Duration
Stage
Fee
Start Term
2019 - Full Academic Year 2019-20
End Term
9999 - The End of Time
Author(s)
Declan Sheridan, Fergal Gallagher
Programme Membership
SG_EAUTM_N06 201900 Level 6 Certificate in Engineering in Automation and Electronics SG_EMECH_S06 201900 Certificate in Engineering in Mechanical Analysis and Automation SG_EAUTI_N06 201900 Level 6 Certificate in Engineering in Automation and Instrumentation SG_EPOLY_E06 201900 Certificate in Engineering in Polymer Technologies SG_EMSYS_B07 201900 Bachelor of Engineering in Mechatronic Systems
Description

This module prepares the student for progression onto the degree level 7 mathematics. It reintroduces the ideas of differentiation from the basics up to partial differentiation and integration from the basics up to integration by parts. It also covers formula manipulation, the factor theorem, partial fractions and complex numbers. 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.

Be able to manipulate mathematical equations

2.

Be able to graph linear, quadratic, exponential, log and trig functions

3.

Use the factor theorem and remainder theorem

4.

Find partial fractions

5.

Differentiate using the chain rule, product rule and quotient rule, find the maxima and minima of functions

6.

perform parametric, implicit differentiation and partial differentiation

7.

perform integration by substitution and by parts

8.

Calculate areas using integration

9.

Apply De Moivre's theorem to find the powers of complex numbers

Online lecture

### Indicative Syllabus

• Formula manipulation and solving equations
• Remainder and factor theorems
• Partial fractions
• Functions and graphs including trig functions
• differentiation by first principles
• differentiation rules, including chain rule, product rule and quotient rule
• Minimum and maximum calculations
• Parametric, implicit and partial differentiation
• Integration by substitution and by parts
• Applications of integration including finding areas
• Complex numbers, polar form, performing mathematical operations on complex numbers including De Moivre's theorem

### 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 Continual Assessment Continuous Assessment Assessment 20 % OnGoing 1,2,3,4,5,6,7,8,9

### End of Semester / Year Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Final Exam Final Exam Closed Book Exam 80 % End of Year 1,2,3,4,5,6,7,8,9

### Online Learning Mode Workload

Type Location Description Hours Frequency Avg Workload
Lecture Online Lecture 1 Weekly 1.00
Directed Learning Not Specified Directed Learning 1 Weekly 1.00
Total Online Learning Average Weekly Learner Contact Time 2.00 Hours

### Required & Recommended Book List

2007 Engineering Mathematics Routledge

### Module Resources

Non ISBN Literary Resources

No books are essential for this course. Reference material provided in:

• Engineering mathematics by John Bird published by Routledge
• Engineering mathematics by KA Stroud published by Palmgrave
• Foundation Mathematics for Engineers by John Berry and Patrick Wainwright published by Macmillan
• Mathematical log tables
Other Resources

www.mathcentre.ac.uk