| Title: | Maths for Technology |
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| Long Title: | Mensuration, Algebra, Trigonometry for Technology |
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| Field of Study: |
Mathematics
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| Valid From: |
Semester 1 - 2013/14 ( September 2013 ) |
| Module Coordinator: |
David Goulding |
| Module Author: |
AINE NI SHE |
| Module Description: |
This module provides the learner with the knowledge, skills and competence to solve practical mathematical problems encountered in science and technology. |
| Learning Outcomes |
| On successful completion of this module the learner will be able to: |
| LO1 |
Perform all manner of arithmetical calculations relevant to technology. |
| LO2 |
Manipulate a wide variety of algebraic expressions and equations, transpose formulae, and employ function notation effectively. |
| LO3 |
Sketch and analyse linear and quadratic graphs. |
| LO4 |
Use trigonometry and mensuration to solve practical problems in science and technology. |
| LO5 |
Apply the methods of descriptive statistics to organise, summarise, present and analyse data. |
| Pre-requisite learning |
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named MTU module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
|
| Not applicable |
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list. |
| Not applicable |
Co-requisite Modules
|
| No Co-requisite modules listed |
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.
|
| Not applicable |
Module Content & Assessment
| Indicative Content |
|
The Fundamentals of Mathematics
Manipulating numbers. The arithmetic of fractions. Decimal notation and calculations. Instruction on how to use a calculator. Ratio and proportion. Percentages. Approximation, error estimation, absolute, relative and relative percentage error. Laws of indices with simple applications. Evaluation of powers, roots and reciprocals using the calculator.
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Units and Conversions
The SI system of units, prefixes, usage.
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Algebra
Formulation and solution of linear, quadratic and linear simultaneous equations. Simple indicial equations. Transposition and evaluation of formulae.
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Linear Graphs
Plot a linear function. The general equation of a straight line. Deduce the equation of a straight line graph. Describe linear trend. Plot quadratic functions. Describe graphical trends. Graphical solution of quadratic equations.
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Mensuration
Practical problems on area and volume. Simpson's rule.
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Trigonometry
Pythagoras Theorem. Trigonometric ratios, ratio of sides, sine and cosine rules.
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Descriptive Statistics
Collect, sort and represent statistical data graphically (stem-leaf plots, pie charts, bar charts, histograms). Measures of central tendency – mean, median, mode. Measures of dispersion – range and standard deviation.
|
| Assessment Breakdown | % |
|---|
| Course Work | 40.00% |
| End of Module Formal Examination | 60.00% |
| Course Work |
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| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Short Answer Questions |
In Class Test - Fundamentals of Mathematics, Units and Conversions, Algebra |
1,2 |
20.0 |
Week 5 |
| Short Answer Questions |
In Class Test - Linear Graphs, Mensuration, Trigonometry |
3,4 |
20.0 |
Week 9 |
| End of Module Formal Examination |
|---|
| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Formal Exam |
End-of-Semester Final Examination |
1,2,3,4,5 |
60.0 |
End-of-Semester |
| Reassessment Requirement |
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
|
The institute reserves the right to alter the nature and timings of assessment
Module Workload
| Workload: Full Time |
| Workload Type |
Workload Description |
Hours |
Frequency |
Average Weekly Learner Workload |
| Lecture |
Lecture |
3.0 |
Every Week |
3.00 |
| Independent & Directed Learning (Non-contact) |
Review of lecture material, completion of homework sheets, preparation for tutorial |
3.0 |
Every Week |
3.00 |
| Tutorial |
Active problem solving, completion of tutorial sheets |
1.0 |
Every Week |
1.00 |
| Total Hours |
7.00 |
| Total Weekly Learner Workload |
7.00 |
| Total Weekly Contact Hours |
4.00 |
| Workload: Part Time |
| Workload Type |
Workload Description |
Hours |
Frequency |
Average Weekly Learner Workload |
| Lecture |
Lecture |
2.5 |
Every Week |
2.50 |
| Lecturer Supervised Learning (Non-contact) |
Preparation for tutorial (tutorial and homework sheets) |
1.0 |
Every Second Week |
0.50 |
| Independent & Directed Learning (Non-contact) |
Review of lecture material, completion of homework sheets, preparation for tutorial |
3.5 |
Every Week |
3.50 |
| Tutorial |
Active problem solving, completion of tutorial sheets |
1.0 |
Every Second Week |
0.50 |
| Total Hours |
8.00 |
| Total Weekly Learner Workload |
7.00 |
| Total Weekly Contact Hours |
3.00 |
Module Resources
| Recommended Book Resources |
|---|
- J. O. Bird, A. J. C. May 1994, Technician mathematics 3, Longman Scientific & Technical Harlow [ISBN: 9780582234246]
- J. O. Bird, A. J. C. May 1982, Technician mathematics [ISBN: 9780582412569]
- John Bird BSc (Hons) CEng CMath CSci FIET MIEE FIIE FIMA FCollT, 2010, Basic Engineering Mathematics, Fifth Edition, 5th Ed., Newnes [ISBN: 1856176975]
- K.A. Stroud, with D.J. Booth 2009, Foundation Mathematics, Palgrave Macmillan [ISBN: 0230579078]
| | Supplementary Book Resources |
|---|
- John Bird 2010, Engineering Mathematics [ebook], 5th Ed., Newnes Amsterdam [ISBN: 9780750685559]
- Washington, Allyn 2009, Basic technical mathematics with calculus, 9th Ed., Pearson Prentice Hall [ISBN: 9780138150204 0138150206]
- John Bird 2007, Engineering Mathematics, Fifth Edition, 5th Ed., Newnes Oxford [ISBN: 9780750685559]
- K.A. Stroud 2009, Essential Mathematics for Science and Technology: A Self-Learning Guide, 1st Ed., Industrial Press [ISBN: 0831133910]
| | This module does not have any article/paper resources |
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| Other Resources |
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- Website: MathCentre
- Website: http://www.mathtutor.ac.uk/MathTutor
- Website: CITCIT Maths Online - accessible via CIT
Blackboard
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Module Delivered in
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