| 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 |
