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MATH6062 - Mathematics for Architecture

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Title:Mathematics for Architecture
Long Title:Mathematics for Architecture
Module Code:MATH6062
 
Duration:1 Semester
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 1 - 2019/20 ( September 2019 )
Module Delivered in 4 programme(s)
Module Coordinator: Samuel Vardy
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 Architecture
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Perform arithmetical calculations relevant to Architecture.
LO2 Manipulate context based algebraic expressions and equations, transpose formulae, and employ function notation effectively.
LO3 Use trigonometry to solve practical problems in Architecture.
LO4 Use mensuration to solve practical problems in Architecture.
LO5 Examine geometric constructions employing the golden ratio
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. Order of operations (BODMAS rule). The arithmetic of fractions. Decimal notation and calculations. Ratio and proportion with specific examples relevant to students of architecture and design. Scaled drawings. Percentages. Scientific notation and significant figures. Approximation, error estimation, absolute and relative percentage error.
Algebra
Formulation and solution of linear, quadratic and linear simultaneous equations. Transposition and evaluation of formulae.
Units and Conversions
The SI system of units, prefixes, usage. Imperial and metric conversions.
Trigonometry
Types of angles and triangles. Pythagoras Theorem. Trigonometric ratios, sine rule and cosine rule. Angles of elevation and depression.
Mensuration
Practical problems on perimeter and area: 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. Heat loss estimation.
Geometry
Geometry of shapes, trusses and architectural examples employing the golden ratio.
Assessment Breakdown%
Course Work100.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Short Answer Questions In class test - Fundamentals of Mathematics, 1 30.0 Week 4
Short Answer Questions In class test - Algebra, units and conversions 2 35.0 Week 8
Short Answer Questions In class test - Trigonometry, mensuration, golden ratio constructions 3,4,5 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 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
  • John Bird 2017, Basic Engineering Mathematics, 7th Ed., Routledge [ISBN: 1138673706]
  • Surinder Virdi, Roy Baker, Narinder Kaur Virdi 2014, Construction Mathematics, 2nd Ed., Routledge England [ISBN: 9780415810784]
Supplementary Book Resources
  • K.A. Stroud, with D.J. Booth 2009, Foundation Mathematics, Palgrave Macmillan England [ISBN: 9780230579071]
  • K.A. Stroud 2009, Essential Mathematics for Science and Technology: A Self-Learning Guide, 1st Ed., Industrial Press [ISBN: 0831133910]
  • J. O. Bird, A. J. C. May 1994, Technician mathematics 3, Longman Scientific & Technical Harlow [ISBN: 9780582234246]
This module does not have any article/paper resources
Other Resources
 

Module Delivered in

Programme Code Programme Semester Delivery
CR_CARCT_8 Bachelor of Science (Honours) in Architectural Technology 2 Mandatory
CR_DINAR_8 Bachelor of Science (Honours) in Interior Architecture 2 Mandatory
CR_TARCH_7 Bachelor of Science in Architectural Technology 2 Mandatory
CR_DIARC_7 Bachelor of Science in Interior Architecture 2 Mandatory

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Email: help@cit.edu.ie