MATH06083 2016 Introduction to Engineering Mathematics (Quality)
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.Present Statistical Information and be able to undertake statistical analysis of raw data
2. perform basic differentiation and integration functions
. Work out volumes and areas of regular and irregular shapes
Solve problems and perform calculations on compound interest and depreciation
Solve problems involving finite and infinite geometric and arithmetic series
Be able to perform graphical analysis
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 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 |
Module 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