Title:  Mathematics for Architecture 
Long Title:  Mathematics for Architecture 
Field of Study: 
Mathematics

Valid From: 
Semester 1  2019/20 ( September 2019 ) 
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 
Prerequisite 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 
Corequisite Modules

No Corequisite 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 Work  100.00% 
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 (Noncontact) 
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 (Noncontact) 
Preparation for tutorial (tutorial and homework sheets) 
1.0 
Every Second Week 
0.50 
Independent & Directed Learning (Noncontact) 
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 SelfLearning 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 

 Website: MathCentre
 Website: http://www.mathtutor.ac.uk/MathTutor
 Website: CITCIT Maths Online  accessible via CIT's
VLE

Module Delivered in
