## Technical Analysis and Applications with MATLABThis text combines various technical and engineering mathematical concepts at a basic level with the use of MATLAB for support and analysis. Once math concepts are introduced and understood using conventional techniques, MATLAB is then used as the primary tool for performing mathematical analysis. Featuring practical technical examples and problems, the text is designed for math courses within an engineering technology or engineering program or courses where MATAB is used as a supporting tool. The text provides a review of differential and integral calculus with an emphasis on applications to technical problems. |

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### Contents

MATLAB Primer | 1 |

Matrices | 25 |

Matrix Algebra with MATLAB | 53 |

Curve Plotting with MATLAB | 69 |

Common Functions and their Properties | 91 |

Differential Calculus | 141 |

Integral Calculus | 173 |

Calculus Operations with MATLAB | 197 |

Solution of Differential Equations with MATLAB | 281 |

Introduction to Statistics | 297 |

CurveFitting and Correlation | 347 |

Introduction to Spatial Vector Analysis | 377 |

Complex Numbers | 399 |

Fourier Analysis with MATLAB | 429 |

MATLAB Help | 465 |

489 | |

### Common terms and phrases

algebraic amplitude spectrum analysis angle applications approximation Assume calculus CCLODE chapter coefficients column complex numbers computed concept considered constant corresponding cosine function cross product curve defined definite integral denoted derivative differential equation discrete displacement domain dot product entered evaluated exponential function expressed first-order format formula Fourier series Fourier transform frequency func function of Example function of Problem gaussian given hased hasic imaginary independent variable input inverse function inverse matrix inverse transform involved labeling Laplace transform logarithmic magnitude mathematical MATLAB Command Window matrix mean value mean-square value multiplication negative notation Note obtained operations parameters particular solution performed plot points polar form polynomial probability random reader rectangular form represent result roots row vector sample shown in Figure sine function Solution _ solve spatial vectors square statistical statistically independent step symbolic tion triple scalar product velocity voltage yprime zero