| Title: | Mathematics for Construction |
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| Long Title: | Mathematics for Construction |
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| Field of Study: |
Mathematics
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| Valid From: |
Semester 1 - 2022/23 ( September 2022 ) |
| Module Coordinator: |
David Goulding |
| Module Author: |
DONAL G O SHEA |
| Module Description: |
This module provides the learner with the knowledge, skills and competence to solve practical mathematical problems encountered in construction. |
| Learning Outcomes |
| On successful completion of this module the learner will be able to: |
| LO1 |
Perform a variety of arithmetical calculations relevant to construction. |
| 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 to solve practical problems in construction. |
| LO5 |
Use mensuration to solve practical problems in construction. |
| 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).
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| 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.
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| Not applicable |
Module Content & Assessment
| Indicative Content |
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The Fundamentals of Mathematics
Manipulating numbers. The arithmetic of fractions. Decimal notation and calculations. 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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Algebra
Formulation and solution of linear, quadratic and linear simultaneous equations. Simple indicial equations. Transposition and evaluation of formulae.
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Linear and Quadratic 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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Trigonometry
Types of angles and triangles. Pythagoras Theorem. Trigonometric ratios, sine rule and cosine rule. Angles of elevation and depression.
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Units and Conversions
The SI system of units, prefixes, usage. Imperial and metric conversions.
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Mensuration
Practical problems on area and volume: rectangle, triangle, parallelogram, trapezium, circle (inc. arcs and sectors). Simpson's rule and Trapezoidal rule. Volume and surface area: cylinder, sphere, hemisphere, cuboid, cone, frustum of cone.
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| Assessment Breakdown | % |
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| Course Work | 100.00% |
| 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 and algebra. |
1,2 |
30.0 |
Week 4 |
| Short Answer Questions |
In class test - linear and quadratic graphs, trigonometry. |
3,4 |
35.0 |
Week 8 |
| Short Answer Questions |
In class test - trigonometry, mensuration, units and conversions. |
4,5 |
35.0 |
Week 12 |
| No End of Module Formal Examination |
| 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 |
Theory on course topics and worked examples. |
3.0 |
Every Week |
3.00 |
| Tutorial |
Active problem solving, completion of tutorial sheets |
1.0 |
Every Week |
1.00 |
| Independent & Directed Learning (Non-contact) |
Review of lecture material, completion of homework sheets, preparation for tutorial |
3.0 |
Every Week |
3.00 |
| 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 |
Theory on course topics and worked examples. |
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 |
| Tutorial |
Active problem solving, completion of tutorial 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 |
| Total Hours |
8.00 |
| Total Weekly Learner Workload |
7.00 |
| Total Weekly Contact Hours |
3.00 |
Module Resources
| Recommended Book Resources |
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- J. Bird 2021, Basic Engineering Mathematics, 9th ed. Ed., Routledge [ISBN: 9781000351941]
| | Supplementary Book Resources |
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- K.A. Stroud, with D.J. Booth 2009, Foundation Mathematics, Palgrave Macmillan [ISBN: 9780230579071]
| | This module does not have any article/paper resources |
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| Other Resources |
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- Website: CIT Maths Online
- Website: MathCentre
- Website: http://www.mathtutor.ac.uk/MathTutor
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Module Delivered in
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