## 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. |

### Contents

1 | |

7 | |

Geometry and Trigonometry | 33 |

Coordinate Geometry | 41 |

Differential Calculus | 49 |

Vectors and Complex Numbers | 65 |

9 | 68 |

An Introduction | 71 |

Money in a Nutshell | 87 |

11 | 95 |

Electromagnetism in a Nutshell | 101 |

Modern Physics in a Nutshell | 107 |

A Properties and Formulae | 115 |

19 | 118 |

B Additional Resources | 129 |

### Common terms and phrases

acceleration due amplitude angle annual interest approximate atoms backpack ball Calculate called Celsius cement charge cone cube decay deduce defined denoted density Determine differential equation dimensional analysis dimensions displacement distance due to gravity Earth electric field electromagnetic waves electrons Eona estimate Euler identity example factor Find an expression fluid force formula frequency function Galilean transformations given gravitational constant ground initial integral length linear logarithms Lorentz transformations magnetic mass mathematical matrix mean lifetime measured minimum moving Newton's law Newton's Second Law Note number of nuclei object obtain orbit oscillations partial fraction particle physics plot potential energy pressure quantity Quantum Mechanics radius rate of change reach relation relative revenue scale simple harmonic motion solution speed of light straight line surface area temperature terminal velocity unit variables vector velocity voltage volume wavelength zero