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MATH06083 2016 Introduction to Engineering Mathematics (Quality)

General Details

Full Title
Introduction to Engineering Mathematics (Quality)
Transcript Title
Intro Eng Maths QS
Code
MATH06083
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
MENG - Mech. and Electronic Eng.
Level
06 - NFQ Level 6
Credit
10 - 10 Credits
Duration
Stage
Fee
€
Start Term
2016 - Full Academic Year 2016-17
End Term
2020 - Full Academic Year 2020-21
Author(s)
Paul Curran
Programme Membership
SG_EQUAL_E06 201600 Level 6 Special Purpose Award in Quality Assurance
Description

This module is designed to prepare the student for progression onto the degree level 7 Quality and Manufacturing Management programmes. It is intended to provide a broad approach and foundation for mathematics required by Quality Students at L7 and L8..

 The main topics are:

Algebra

 

Statistics

 

Graphs

 

Financial Mathematics

 

 Volumes and Areas

 

Trigonometry

 

Integration

 

Differential Calculus

 

 

This module makes use of real life situations where the techniques are used. The online students are already working in industry and can see where engineers make use of the techniques.

 

 

Learning Outcomes

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

1.

1.Present Statistical Information and be able to undertake statistical analysis of raw data

 

 

2.

2. perform basic differentiation and integration functions

 

 

3.

. Work out volumes and areas of regular and irregular shapes

4.

Solve problems and perform calculations on compound interest and depreciation

5.

Solve problems involving finite and infinite geometric and arithmetic series

6.

Be able to perform graphical analysis

7.

Be able to apply Trigonometry to practical situations

Teaching and Learning Strategies

The teaching strategy will be through the use of on-line lectures and tutorials with assessements timed to co-incide with the end of delivery of a particular topic so as to re-enforce  and embed the knowledge of the material with the student.

Module Assessment Strategies

Assessment will be performed throughout the academic period through assignments and mini-examinations.

There will be a final examination at the end of the academic period.

Repeat Assessments

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

Indicative Syllabus

Revision

Fractions, Ratios and Proportions, Decimals, Percentages, Rounding

Laws of Indices

Factorisation

Fundamental Laws of Precedence

Direct and Inverse Proportionality

 

 

Algebra

Polynomial Division

Factor Theorem

Remainder Theorem

Partial Fractions

Solving Simultaneous Equations

Transposition of Formulae

Solving Quadratic Equations

Inequalities

Logarithms

 

Graphs

Straight Line Graphs

Cubic and Further order Graphs

Graphical Solutions to Equations

 

Statistics

Probability

  • Laws of probability

  • Permutations and Combinations

     

    Organising Data

  • Grouped Frequency Distributions

  • Histograms, Frequency Polygons and Ogives

  • Statistical Graphs

     

    Data Description

  • Measures of Central Tendency

  • Measures of Variation

  • Measures of Position

     

     

    Areas and Volumes

    Areas of Common Shapes

    The Circle

    Volumes and Surfaces of Common Solids

    Irregular Areas and Volumes

     

    Financial Mathematics

    Present Value

    Compound Interest –Loans and Investments

    Annuities

    Geometric and Arithmetic Series

    Amortisation

    Depreciation

     

    Trigonometry

    Basic Trigonometry

    Trigonometric Wave Forms

    Cartesian and Polar Co-ordinates

    Practical Applications of Trigonometry

     

    Differential Calculus

    Introduction to Differentiation

    First principles

    Sine and Cosine functions

     

    Integration

    Introduction to Integration

    Standard  Integrals

 

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 Assignments Coursework Assessment Assessment 20 % OnGoing 1,2,3,4,5,6,7
             
             

End of Semester / Year Assessment

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

Online Learning Mode Workload


Type Location Description Hours Frequency Avg Workload
Lecture Not Specified Tutorial 4 Weekly 4.00
Total Online Learning Average Weekly Learner Contact Time 4.00 Hours

Module Resources

Non ISBN Literary Resources

Essential Text: Engineering Mathematics 7th ed. by John Bird . Published by Routledge

 

Statistical Tables J. Murdock and J.A. Barnes 4th edition

 

State Examination Mathematical tables