Construction mathematics

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010336638	TH437 V57 2014	Open Access Book	Book	Searching... Unknown
Searching... PSZ KL	33000000007349	TH437 V57 2014	Open Access Book	Book	Searching... Unknown

Summary

Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines.

Learn by tackling exercises based on real-life construction maths. Examples include: costing calculations, labour costs, cost of materials and setting out of building components. Suitable for beginners and easy to follow throughout. Learn the essential basic theory along with the practical necessities.

The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises. End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained.

Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in Construction. Additional coverage of the core unit Mathematics in Construction and the Built Environment from BTEC National Construction, Civil Engineering and Building Services courses makes this an essential revision aid for students who do not have Level 2 mathematics experience before commencing their BTEC National studies. This is also the ideal primer for any reader who wishes to refresh their mathematics knowledge before going into a construction HNC or BSc.

Author Notes

Surinder Virdi is a lecturer in construction at South and City College Birmingham. He worked as a structural engineer for a number of years before starting his teaching career in further education. He has been teaching mathematics, construction science and construction technology on BTEC National and Higher National courses for the last 25 years.
Roy Baker spent forty years teaching mathematics, construction science and structural mechanics at the City of Wolverhampton College before retiring in 2005. He now works as a visiting lecturer.
Narinder Kaur Virdi is a programme manager at the South and City College Birmingham and is responsible for managing the provision of basic skills. She worked as a biochemist for a number of years before becoming a trained teacher. She has been teaching literacy and numeracy for the last 15 years.

Preface to the second edition	p. xi
Preface to the first edition	p. xiii
How to use this book	p. xv
Acknowledgements	p. xvii
Abbreviations and units	p. xix
1 Using a scientific calculator	p. 1
1.1 Introduction	p. 1
1.2 Keys of a scientific calculator	p. 1
2 Numbers	p. 9
2.1 Introduction	p. 9
2.2 History of numbers	p. 9
2.3 Positive numbers, negative numbers and integers	p. 10
2.4 Prime and composite numbers	p. 11
2.5 Square numbers	p. 11
2.6 Addition and subtraction	p. 11
2.7 Decimal numbers	p. 13
2.7.1 Place value	p. 14
2.7.2 Adding, subtracting and multiplying decimals	p. 14
2.7.3 Multiplication and division by the powers of 10	p. 15
2.8 Order of operations	p. 17
2.8.1 Brackets	p. 17
3 Basic algebra	p. 21
3.1 Introduction	p. 21
3.2 Addition and subtraction	p. 21
3.3 Multiplication and division	p. 22
3.4 Brackets	p. 23
3.5 Simple equations	p. 24
3.6 Application of linear equations	p. 26
4 Indices and logarithms	p. 31
4.1 Indices	p. 31
4.2 Laws of indices	p. 31
4.2.1 Multiplication	p. 32
4.2.2 Division	p. 32
4.2.3 Power of a power	p. 33
4.2.4 Negative powers	p. 34
4.2.5 Zero index	p. 34
4.3 Logarithms	p. 35
5 Standard form, significant figures and estimation	p. 37
5.1 Standard form	p. 37
5.2 Significant figures	p. 38
5.3 Estimation	p. 40
6 Transposition and evaluation of formulae	p. 43
6.1 Transposition of formulae	p. 43
6.1.1 Type 1 formulae	p. 43
6.1.2 Type 2 formulae	p. 44
6.1.3 Type 3 formulae	p. 44
6.2 Evaluation of formulae	p. 46
6.3 Evaluation of formulae: practical examples	p. 48
7 Fractions and percentages	p. 55
7.1 Fractions	p. 55
7.7.7 Simplification of fractions	p. 57
7.7.2 Equivalent fractions	p. 59
7.7.3 Addition and subtraction of fractions	p. 59
7.1.2 Multiplication and division of fractions	p. 60
7.7.2 Conversion of fractions to decimals	p. 61
7.2 Percentages	p. 61
7.2.1 Conversion of fractions and decimals into percentages	p. 61
7.2.2 Value added tax (VAT)	p. 62
7.3 Bulking of sand	p. 63
8 Graphs	p. 69
8.1 Introduction	p. 69
8.2 Cartesian axes and coordinates	p. 69
8.3 Straight-line graphs	p. 73
8.4 The law of the straight line	p. 75
8.4.1 The gradient (m)	p. 76
8.4.2 The intercept (c)	p. 77
8.5 Simultaneous equations	p. 79
8.6 Quadratic equations	p. 80
9 Units and their conversion	p. 85
9.1 Introduction	p. 85
9.2 Length	p. 86
9.2.7 Conversion factors	p. 86
9.2.2 Use of the graphical method	p. 88
9.3 Mass	p. 89
9.3.1 Conversion factors	p. 89
9.3.2 Graphical method	p. 90
9.4 Area, volume and capacity	p. 92
9.5 Temperature	p. 94
10 Geometry	p. 97
10.1 Angles	p. 97
10.7.7 Types of angle	p. 99
10.2 Polygons	p. 100
10.3 Triangles	p. 101
10.3.1 Types of triangle	p. 101
10.3.2 Theorem of Pythagoras	p. 102
10.3.3 Similar triangles	p. 104
10.4 Quadrilaterals	p. 107
10.5 Sum of the angles in a polygon	p. 110
10.6 The circle	p. 111
11 Areas (1)	p. 115
11.1 Introduction	p. 115
11.2 Area of triangles	p. 116
11.3 Area of quadrilaterals	p. 117
11.4 Area of circles	p. 118
11.5 Application of area to practical problems	p. 120
11.5.1 Cavity walls	p. 123
12 Volumes (1)	p. 129
12.1 Introduction	p. 129
12.2 Volume of prisms, cylinders, pyramids and cones	p. 130
12.3 Mass, volume and density	p. 136
12.4 Concrete mix and its constituents	p. 137
13 Trigonometry (1)	p. 146
13.1 Introduction	p. 145
13.2 The trigonometrical ratios	p. 145
13.3 Trigonometric ratios for 30°, 45°, 60°	p. 147
13.4 Angles of elevation and depression	p. 151
13.5 Stairs	p. 152
13.6 Roofs	p. 156
13.7 Excavations and embankments	p. 161
14 Setting out	p. 167
14.1 Introduction	p. 167
14.2 Setting out a simple building site	p. 167
14.3 Bay windows and curved brickwork	p. 169
14.4 Checking a building for square corners	p. 172
14.5 Circular arches	p. 174
14.6 Elliptical arches	p. 178
15 Costing: materials and labour	p. 183
15.1 Introduction	p. 183
15.2 Foundations	p. 183
15.3 Cavity walls	p. 185
15.4 Flooring	p. 188
15.5 Painting	p. 189
16 Statistics	p. 195
16.1 Introduction	p. 195
16.2 Tally charts	p. 195
16.3 Tables	p. 196
16.4 Types of data	p. 196
16.4.1 Discrete data	p. 196
16.4.2 Continuous data	p. 197
16.4.3 Raw data	p. 197
16.4.4 Grouped data	p. 197
16.5 Averages	p. 198
16.5.1 The mean	p. 199
16.5.2 The mode	p. 199
16.5.3 The median	p. 199
16.5.4 Comparison of mean, mode and median	p. 199
16.6 The range	p. 200
16.7 Statistical diagrams	p. 201
16.7.1 Pictograms	p. 202
16.7.2 Bar charts	p. 202
16.7.3 Pie charts	p. 202
16.7.4 Line graphs	p. 202
16.8 Frequency distributions	p. 206
16.8.1 Histograms	p. 206
16.8.2 Frequency polygons	p. 206
16.8.3 Cumulative frequency distribution	p. 208
17 Areas and volumes (2)	p. 215
17.1 introduction	p. 215
17.2 Surface area of a pyramid	p. 215
17.2.1 Frustum of a pyramid	p. 216
17.3 Surface area of a cone	p. 218
17.3.1 Frustum of a cone	p. 219
18 Areas and voSumes (3)	p. 223
18.1 Introduction	p. 223
18.2 Mid-ordinate rule	p. 223
18.3 Trapezoidal rule	p. 224
18.4 Simpson's rule	p. 225
18.5 Volume of irregular solids	p. 227
18.6 Prismoidal rule	p. 228
19 Trigonometry (2)	p. 235
19.1 The sine rule and the cosine rule	p. 235
19.1.1 The sine rule	p. 235
19.1.2 The cosine rule	p. 240
19.2 Area of triangles	p. 243
20 Computer techniques	p. 249
20.1 Introduction	p. 249
20.2 Microsoft Excel 2000	p. 249
21 Assignments	p. 263
21.1 Assignment 1	p. 263
21.2 Assignment 2	p. 266
21.3 Assignment 3	p. 270
Appendix 1 Concrete mix	p. 273
Appendix 2 Solutions	p. 275
Index	p. 313

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