## Mathematical modelingMathematical modeling is the process of solving a "real world" problem using mathematical methods. This book takes a practical approach toward the solution of a variety of real problems such as docking two vehicles in space, growth rate of an infectious disease, and wildlife management, while introducing the necessary, rigorous mathematical techniques required for a reasonable solution. The book employs a uniform problem-solving methodology consistently in the three major areas of optimisation, dynamic systems, and stochastic processes. Computer programs, calculators, and graphics are used where appropriate. * Chapters followed by challenging exercises * Emphasizes the use of appropriate technology for solving mathematical problems. * Discusses computer algebra systems, graphics, and numerical methods. |

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### Contents

OneVariable Optimization | 3 |

Multivariate Optimization | 21 |

Computational Methods for Optimization | 57 |

Copyright | |

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19-inch sets advertising aircraft algorithm analytic assume assumptions average behavior blue whales calculate Chapter closing velocity color TV problem complete phase portrait computer algebra system computer implementation consider constraint continuous-time denote Determine differential equations diodes discrete-time dynamical system docking problem dynamic models eigenvalues equilibrium point estimate Euler method Examine the sensitivity Exercise feasible region Figure fin whales five-step method Graph growth rate initial condition Lagrange multiplier linear programming linear system Markov chain Markov process mathematical modeling maximize maximum modeling approach Monte Carlo simulation multivariable Newton's method nonlinear objective function obtain optimal solution optimum parameter Perform a sensitivity pig problem population levels Pr{X price elasticity problem of Example production levels profit random variable Reconsider represents results of step RLC circuit problem robustness Section sell sensitivity analysis solve stable equilibrium Suppose target theorem UMAP module vector field whale problem x2 versus