Module Details
| Module Code: |
MATH6062 |
| Title: |
Mathematics for Architecture
|
|
Long Title:
|
Mathematics for Architecture
|
| NFQ Level: |
Fundamental |
| Valid From: |
Semester 1 - 2019/20 ( September 2019 ) |
| Field of Study: |
4610 - Mathematics
|
| 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: |
| # |
Learning Outcome Description |
| 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 |
| Dependencies |
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 |
| 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.
|
|
Module Content & Assessment
|
| Assessment Breakdown | % |
|---|
| Coursework | 100.00% |
Assessments
| 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 University reserves the right to alter the nature and timings of assessment
Module Workload
| Workload: Full Time |
| Workload Type |
Contact Type |
Workload Description |
Frequency |
Average Weekly Learner Workload |
Hours |
| Lecture |
Contact |
Lecture |
Every Week |
3.00 |
3 |
| Independent & Directed Learning (Non-contact) |
Non Contact |
Review of lecture material, completion of homework sheets, preparation for tutorial |
Every Week |
3.00 |
3 |
| Tutorial |
Contact |
Active problem solving, completion of tutorial sheets |
Every Week |
1.00 |
1 |
| Total Hours |
7.00 |
| Total Weekly Learner Workload |
7.00 |
| Total Weekly Contact Hours |
4.00 |
| Workload: Part Time |
| Workload Type |
Contact Type |
Workload Description |
Frequency |
Average Weekly Learner Workload |
Hours |
| Lecture |
Contact |
Lecture |
Every Week |
2.50 |
2.5 |
| Lecturer Supervised Learning (Non-contact) |
Non Contact |
Preparation for tutorial (tutorial and homework sheets) |
Every Second Week |
0.50 |
1 |
| Independent & Directed Learning (Non-contact) |
Non Contact |
Review of lecture material, completion of homework sheets, preparation for tutorial |
Every Week |
3.50 |
3.5 |
| Tutorial |
Contact |
Active problem solving, completion of tutorial sheets |
Every Second Week |
0.50 |
1 |
| 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. Routledge, [ISBN: 1138673706].
-
Surinder Virdi, Roy Baker, Narinder Kaur Virdi. (2014), Construction Mathematics, 2nd. 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. 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, CIT. CIT Maths Online - accessible via CIT's
VLE,
|
|
