<div class="c-no-headers-number-list_container"> <h3>Brief contents</h3> <h4 class="h5">Contents</h4> <h4 class="h5">Publisher's acknowledgements</h4> <h4 class="h5">Preface</h4> <h4 class="h5">Using mathematical software packages</h4> <ol> <li>Arithmetic</li> <li>Fractions</li> <li>Decimal numbers</li> <li>Percentage and ratio</li> <li>Basic algebra</li> <li>Functions and mathematical models</li> <li>Polynomial equations, inequalities, partial fractions and proportionality</li> <li>Logarithms and exponentials</li> <li>Trigonometry</li> <li>Further trigonometry</li> <li>Complex numbers</li> <li>Matrices and determinants</li> <li>Using matrices and determinants to solve equations</li> <li>Vectors</li> <li>Differentiation</li> <li>Techniques and applications of differentiation</li> <li>Integration</li> <li>Applications of integration</li> <li>Sequences and series</li> <li>Differential equations</li> <li>Functions of more than one variable and partial differentiation</li> <li>The Laplace transform</li> <li>Statistics and probability</li> <li>An introduction to Fourier series and the Fourier transform</li> <h4 class="h5">Typical examination papers</h4> <h4 class="h5">Appendix 1: SI units and prefixes</h4> <h4 class="h5">Index</h4> </ol> </div>