## Real World MathematicsThis book is intended as a resource for those who wish to teach and learn mathematics through real world applications. The first part lists exercises which illustrate the use of various concepts and techniques at a level suitable for high schools and liberal arts colleges. Answers and brief notes accompany the questions. The second part of this book discusses the scientific method, mathematical modelling, and provides the background information for the exercises in the first part. |

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### Contents

1 | |

Simultaneous Equations and Matrices | 23 |

Coordinate Geometry | 41 |

Integral Calculus | 59 |

Vectors and Complex Numbers | 67 |

Money in a Nutshell | 87 |

Electromagnetism in a Nutshell | 101 |

Modern Physics in a Nutshell | 107 |

A Properties and Formulae | 115 |

B Additional Resources | 129 |

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acceleration due amplitude angle approximate atom ball Calculate Celsius cement charge cone coordinates Coulomb’s law curve decay denoted density Determine differential equation dimensional analysis dimensions displacement distance due to gravity Earth Einstein’s electric field electrons Eona estimate example factor Find an expression fluid force formula frequency function Galilean transformations given gravitational constant ground initial integral Integrated Mathematics length linear Lorentz transformations mass Mathematics matrix maximum height mean lifetime measured motion moving Newton’s law Newton’s Second Law Note nucleus number of nuclei object obtained orbit oscillations partial fraction particle Parwani pendulum physics Planck’s constant plot potential energy pressure quantity Quantum Mechanics radius rate of change reach relation relative revenue scale simple simple harmonic motion solution speed of light straight line temperature unit variables vector velocity voltage volume wavelength zero