# ENG06031 2013 Introduction to Engineering Mathematics

**Full Title**

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**Code**

**Attendance**

**Subject Area**

**Department**

**Level**

**Credit**

**Duration**

**Fee**

**Start Term**

**End Term**

**Author(s)**

**Programme Membership**

**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**

**End of Semester / Year Formal Exam**

### 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 |

### Part Time Mode Workload

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 |

### 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

Mathematics Ordinary Level by O.D. Morris published by the Celtic Press

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

**Additional Information**

None