Engineering Mathematics [NOOK Book]

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Overview

For students studying Edexcel BTEC National Engineering courses.

Audience: Students following vocational engineering courses / first year undergraduates. Suitable for all Level 3 engineering programmes, and core units at Level 3. Matched to New BTEC National specifications: Mathematics for Technicians; Further Mathematics for Technicians; AVCE: Applied Mathematics for Engineering; Further Mathematics for Engineering.

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Engineering Mathematics

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More About This Book

Overview

For students studying Edexcel BTEC National Engineering courses.

Audience: Students following vocational engineering courses / first year undergraduates. Suitable for all Level 3 engineering programmes, and core units at Level 3. Matched to New BTEC National specifications: Mathematics for Technicians; Further Mathematics for Technicians; AVCE: Applied Mathematics for Engineering; Further Mathematics for Engineering.

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Product Details

  • ISBN-13: 9781136406331
  • Publisher: Taylor & Francis
  • Publication date: 5/31/2012
  • Sold by: Barnes & Noble
  • Format: eBook
  • Edition number: 4
  • Pages: 544
  • File size: 57 MB
  • Note: This product may take a few minutes to download.

Meet the Author

John Bird, the author of over 100 textbooks on engineering and mathematical subjects, is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, U.K. More recently, he has combined freelance lecturing at Portsmouth University, with technical writing and Chief Examiner responsibilities for City and Guilds Telecommunication Principles and Mathematics, and examining for the International Baccalaureate Organisation. John Bird is currently a Senior Training Provider at the Royal Naval School of Marine Engineering in the Defence College of Marine and Air Engineering at H.M.S. Sultan, Gosport, Hampshire, U.K. The school, which serves the Royal Navy, is one of Europe’s largest engineering training establishments.

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Table of Contents

Preface.
Number and algebra:
Revision of fractions, decimals and percentages.
Indices and standard form.
Computer numbering systems.
Calculations and evaluation of formulae.
Assignment 1.
Algebra.
Further algebra.
Partial fractions.
Simple equations.
Assignment 2.
Simultaneous equations.
Transposition of formulae.
Quadratic equations.
Logarithms.
Assignment 3.
Exponential functions.
Number sequences.
The binomial series.
Solving equations by iterative methods.
Assignment 4.
Multiple choice questions on chapters 1 to 16.
Mensuration:
Areas of plane figures.
The circle and its properties.
Volumes and surface areas of common solids.
Irregular areas and volumes and mean values of waveforms
Assignment 5.
Trigonometry:
Introduction to trigonometry.
Trigonometric waveforms.
Cartesian and polar co-ordinates.
Assignment 6.
Triangles and some practical applications.
Trigonometric identities and equations.
Compound angles.
Assignment 7.
Multiple choice questions on chapters 17 to 26.
Graphs:
Straight line graphs.
Reduction of non-linear laws to linear form.
Graphs with logarithmic scales.
Graphical solution of equations.
Functions and their curves.
Assignment 8.
Vectors:
Vectors.
Combination of waveforms.
Complex numbers:
Complex numbers.
De Moivre's theorem.
Assignment 9.
Statistics:
Presentation of statistical data.
Measures of central tendency and dispersion.
Probability.
The binomial and Poisson distribution.
Assignment 10.
The normal distribution.
Linear correlation.
Linear regression.
Sampling and estimation theories.
Assignment 11.
Multiple choice questions on chapters 27 to 43.
Differential Calculus:
Introduction to differentiation.
Methods of differentiation.
Some applications of differentiation.
Assignment 12.
Integral Calculus:
Standard integration.
Integration using algebraic substitutions.
Integration using trigonometric substitutions.
Assignment 13.
Integration using partial fractions.
The t=tan(theta/2) substitution.
Integration by parts.
Numerical integration.
Assignment 14.
Areas under and between curves.
Mean and root mean square values.
Volumes of solids of revolution.
Centroids of simple shapes.
Second moments of area.
Assignment 15.
Further number and algebra:
Boolean algebra and logic circuits.
The theory of matrices and determinants.
The solution of simultaneous equations by matrices and determinants.
Assignment 16.
Multiple choice questions on chapters 44 to 61. Answers to multiple choice questions.
Index.
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