TUM Library

"Advanced Construction Mathematics covers the range of topics that a student must learn in order to achieve success in Level 3 and 4 mathematics for the Pearson BTEC National and BTEC HNC/HND in Construction, Built Environment, and Civil Engineering. Packed with easy to follow examples, the chapters cover algebra (equations, transposition and evaluation of formulae), differentiation, integration, statistics and numerous other core concepts and their application in the construction/civil engineering field. The book simplifies technical processes before applying mathematical techniques to solve practical problems which gradually build in complexity. Each chapter contains self-test exercises and answers and numerous illustrations to simplify the essential maths required at level 3 and 4. The book is also a useful recap or primer for students on BSc or non-cognate MSc Construction and Civil Engineering degrees"-- Provided by publisher.

Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Units, symbols and prefixes; Preface; Chapter 1: Introduction to some basic techniques; 1.1 Introduction; 1.2 Order of operations; 1.3 Rounding; 1.4 Standard form; 1.5 Estimation; 1.6 Error; 1.7 Indices; Exercise 1.1; Answers -- Exercise 1.1; Chapter 2: Algebra 1; 2.1 Introduction; 2.2 Multiplication and division; 2.3 Brackets; 2.4 Factorisation; 2.5 Simple equations; 2.6 Dimensional analysis; 2.7 Arithmetic progression (AP); 2.8 Geometric progression (GP); Exercise 2.1; Exercise 2.2; Answers -- Exercise 2.1

Answers -- Exercise 2.2Chapter 3: Algebra 2; 3.1 Introduction; 3.2 Transposition of formulae; 3.3 Evaluation of formulae; 3.4 Binomial theorem; Exercise 3.1; Exercise 3.2; Answers -- Exercise 3.1; Answers -- Exercise 3.2; Chapter 4: Simultaneous and quadratic equations; 4.1 Simultaneous equations; 4.2 Quadratic equations; Exercise 4.1; Exercise 4.2; Answers -- Exercise 4.1; Answers -- Exercise 4.2; Chapter 5: Graphical solutions; 5.1 Introduction; 5.2 Linear equations; 5.3 Linear simultaneous equations; 5.4 The law of straight line; 5.5 Quadratic equations; 5.6 Cubic equations; 5.7 Curve fitting

Exercise 5.1Answers -- Exercise 5.1; Chapter 6: Geometry, areas and volumes; 6.1 Geometry; 6.2 Area; 6.3 Area of irregular shapes; 6.4 Volume; 6.5 Volume of irregular objects; 6.6 The theorem of Pappus; Exercise 6.1; Answers -- Exercise 6.1; Chapter 7: Trigonometry 1; 7.1 Introduction; 7.2 The trigonometrical ratios; 7.3 Angles of elevation and depression; 7.4 Roofs; 7.5 The sine rule and the cosine rule; 7.6 Frames; 7.7 Area of triangles; Exercise 7.1; Exercise 7.2; Answers -- Exercise 7.1; Answers -- Exercise 7.2; Chapter 8: Trigonometry 2; 8.1 Introduction; 8.2 Trigonometric identities

8.3 Trigonometric ratio of compound angles8.4 Double angle formulae; 8.5 Trigonometric equations; 8.6 Trigonometric graphs; 8.7 Addition of sine waves; Exercise 8.1; Answers -- Exercise 8.1; Chapter 9: Logarithmic, exponential and hyperbolic functions; 9.1 Logarithmic function; 9.2 Exponential function; 9.3 Hyperbolic function; Exercise 9.1; Exercise 9.2; Exercise 9.3; Answers -- Exercise 9.1; Answers -- Exercise 9.2; Answers -- Exercise 9.3; Chapter 10: Differentiation; 10.1 Introduction; 10.2 Differentiation from first principles; 10.3 Trigonometric functions

10.4 Differentiation of function of a function10.5 The chain rule by recognition; 10.6 Differentiation of exponential and logarithm functions; 10.7 Differentiation of a product; 10.8 Differentiation of a quotient; 10.9 Numerical values of differential coefficients; Exercise 10.1; Exercise 10.2; Exercise 10.3; Exercise 10.4; Answers -- Exercise 10.1; Answers -- Exercise 10.2; Answers -- Exercise 10.3; Answers -- Exercise 10.4; Chapter 11: Applications of differentiation; 11.1 Application in structural mechanics; 11.2 Second derivatives; 11.3 Velocity and acceleration; 11.4 Maximum and minimum

OCLC-licensed vendor bibliographic record.