In this course emphasis will be laid, on learning the Numerical methods to solve the Linear, Non-linear Equations, Interpolation and Different Numerical Methods to solve the problems of Integration, Differentiation and Differential Equations

Theory |
Practical |

Introduction, Number System, Error in Computations & importance of minimizing errors in the context of efficiency, accuracy and stability. | Introduction to Matlab, its commands & installation |

Solution of Non Linear Equation by using Bisection & Regula-Falsi Methods. | Variables, Arrays and Matrix declarations |

Solution of Non Linear Equation by using Iteration & Newton Raphson Methods. | Matrix and arrays operation, concatenation |

Solution of Non Linear Equation by using Muller’s & Graeffe’s Root Squaring Methods. | Complex number, Workspace variables |

Solution of Non Linear Equation by using Graeffe’s Root Squaring Methods. | Character string & calling functions |

Solution of Linear Equation by using Gaussian, Gauss Jordon Elimination Methods and Matrix Inversion. | Graphs 2D & 3D plots |

Solution of Linear Equation by using Crout’s Reduction Methods. | Finding roots of polynomials and vice versa |

Solution of Linear Equation by using Jacobi’s & Gauss-Seidal Iteration Methods. | Finding derivative and integral of polynomials |

Approximation of Eigen Values & Eigen vectors. | Solving Bisection method by using Matlab scripts |

Interpolation & Polynomial Approximation by using Finite Difference Operators. | Solving Newton Rophson method by using Matlab scripts |

Interpolation & Polynomial Approximation by using Newton’s Forward Difference Interpolation Formula. | Matlab functions related to Matrices |

Interpolation & Polynomial Approximation by using Newton’s Backward Difference Interpolation Formula. | Matlab functions related to arrays, Implementing Crammer’s Rule |

Interpolation & Polynomial Approximation by using Lagrange’s Interpolation Formula, Divided Differences. | Implementing Gaussian Elimination Method |

Numerical Differentiation, Numerical integration: Newton-Cotes formulae, trapezoidal rule, Simpson’s formulas, composite rules. | Implementing Jacobi Iterative Method |

Numerical Solution of Ordinary Differential Equations by using Taylor Series & Euler Methods. | Implementing Gauss-Seidal Iterative Method |

Numerical Solution of Ordinary Differential Equations by using Runge-Kutta Method & Predictor Corrector Method | Revision |

- Numerical Analysisby Richard L. Burden & J. Douglas Faires

9th edition

Publication Date 2011

- Numerical Analysisby Rao, G Shanker

Date Published 2006

Pages 337

EBOOK ISBN 9788122422955 - Introduction to Numerical Methods and Analysis (2nd Edition)by Epperson, James F.

Date Published January 2014

Pages 615

EBOOK ISBN 9781118730966