## A Handbook on Numerical Technique Lab (MATLAB Based Experiments)This book is primarily written for third semester electrical engineering and electronics engineering students under UPTU. It covers all the experiments prescribed by UPTU for Numerical Technique Lab (JEE 351). Besides the syllabus, a lot of other important experiments such as frequency response, 2D and 3D plots, statistics have also been covered. This book will be very useful for the students to understand the software MATLAB and its applications in solving mathematical problems. This book has two sections. Section A gives a brief concept about the software MATLAB, and section B covers many experiments (examples) besides the syllabus. At the end of the book, a quiz has also been included. The software MATLAB has wide applications in education as well as in industry. Students of other branches of engineering, and professionals will also find this book very useful. |

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### Contents

Introduction | 3 |

A Basic Mathematics | 13 |

Solution of Linear Equations | 22 |

Solution of Linear Equations | 28 |

Plotting of 2D and 3D Curves | 36 |

Determination of a Polynomial 7 using Method of Least Square Curve Fitting | 47 |

Determination of Polynomial 8 Fit Analyzing Residuals Exponential Fit and Error | 54 |

B Calculus | 64 |

Solution of Ordinary Differential | 73 |

Solution of Differential | 76 |

Determination of Time Response | 86 |

Other Useful Exercises | 98 |

Appendix | 107 |

Answers | 115 |

### Common terms and phrases

ADDITIONAL COMMANDS Analyzing Residuals appears on command Bode plot comma command history Command window showing COMMANDS AND RESULTS computes cos(x Cranes Software current directory curve fitting Determination of Polynomial diff(sin(x discrete Fourier transform dy/dx editor window eigenvalues eigenvector error bounds Experiment exponential fit exponential function f with respect figure window Fit the following fit these data fits to linear following data given data given equation GIVEN NUMERICAL Gives 3x3 matrix graph is shown graphical user interface Laplace transform least square linear equation M-file MATLAB desktop matrix form method of least Nyquist plot ones(size(t ordinary differential equations output Overdetermined plot(x,y polyfit polynomial polynomial fit polyval quadratic equation r=tf(num,den results are shown returns the indefinite Runge-Kutta Runge-Kutta method second column element semicolon shown in Fig Simulink Sine curve sinx st line subwindow symb_deriv syms x y transfer function TUTORIALS Underdetermined vector window showing commands workspace Write commands y=aebx y=sinx