Lecture 1 - Introduction to Matlab

Lecture 2 - Plotting of Functions in Matlab

Lecture 3 - Symbolic Computation in Matlab

Lecture 4 - Functions definition in Matlab

Lecture 5 - In continuation of basics of Matlab

Lecture 6 - In continuation of basics of Matlab (Continued...)

Lecture 7 - Floating point representation of a number

Lecture 8 - Errors arithmetic

Lecture 9 - Iterative method for solving nonlinear equations

Lecture 10 - Bisection method for solving nonlinear equations

Lecture 11 - Order of Convergence of an Iterative Method

Lecture 12 - Regula-Falsi and Secant Method for Solving Nonlinear Equations

Lecture 13 - Raphson method for solving nonlinear equations

Lecture 14 - Newton-Raphson Method for Solving Nonlinear System of Equations

Lecture 15 - Matlab Code for Fixed Point Iteration Method

Lecture 16 - Matlab Code for Newton-Raphson and Regula-Falsi Method

Lecture 17 - Matlab Code for Newton Method for Solving System of Equations

Lecture 18 - Linear System of Equations

Lecture 19 - Linear System of Equations (Continued...)

Lecture 20 - Gauss Elimination Method for solving Linear System of Equation

Lecture 21 - Matlab Code for Gauss Elimination Method

Lecture 22 - LU Decomposition Method for Solving Linear System of Equations

Lecture 23 - LU Decomposition Method for Solving Linear System of Equations (Continued...)

Lecture 24 - Iterative Method for Solving Linear System of Equations

Lecture 25 - Iterative Method for Solving Linear System of Equations (Continued...)

Lecture 26 - Matlab Code for Gauss Jacobi Method

Lecture 27 - Matlab Code for Gauss Seidel Method

Lecture 28 - Matlab Code for Gauss Seidel Method

Lecture 29 - Power Method for Solving Eigenvalues of a Matrix

Lecture 30 - Power Method for Solving Eigenvalues of a Matrix (Continued...)

Lecture 31 - Gershgorin Circle Theorem for Estimating Eigenvalues of a Matrix

Lecture 32 - Gershgorin Circle Theorem for Estimating Eigenvalues of a Matrix

Lecture 33 - Matlab Code for Power Method/ Shifted Inverse Power Method

Lecture 34 - Interpolation

Lecture 35 - Interpolation (Continued...)

Lecture 36 - Interpolation (Continued...)

Lecture 37 - Interpolating Polynomial Using Newton's Forward Difference Formula

Lecture 38 - Error Estimates in Polynomial Approximation

Lecture 39 - Interpolating Polynomial Using Newton's Backward Difference Formula

Lecture 40 - Stirling's Formula and Lagrange's Interpolating Polynomial

Lecture 41 - In Continuation of Lagrange's Interpolating Formula

Lecture 42 - Interpolating Polynomial Using Newton's Divided Difference Formula

Lecture 43 - Examples Based on Lagrange's and Newton's Divided Difference Interpolation

Lecture 44 - Spline Interpolation

Lecture 45 - Cubic Spline

Lecture 46 - Cubic Spline (Continued...)

Lecture 47 - Curve Fitting

Lecture 48 - Quadratic Polynomial Fitting and Code for Lagrange's Interpolating Polynomial using Octave

Lecture 49 - Matlab Code for Newton's Divided Difference and Least Square Approximation

Lecture 50 - Matlab Code for Cubic Spline

Lecture 51 - Numerical Differentiation

Lecture 52 - Various Numerical Differentiation Formulas

Lecture 53 - Higher Order Accurate Numerical Differentiation Formula For First Order Derivative

Lecture 54 - Higher Order Accurate Numerical Differentiation Formula For Second Order Derivative

Lecture 55 - Numerical Integration

Lecture 56 - Trapezoidal Rule for Numerical Integration

Lecture 57 - Simpson's 1/3 rule for Numerical Integration

Lecture 58 - Simpson's 3/8 Rule for Numerical Integration

Lecture 59 - Method of Undetermined Coefficients

Lecture 60 - Octave Code for Trapezoidal and Simpson's Rule

Lecture 61 - Taylor Series Method for Ordinary Differential Equations

Lecture 62 - Linear Multistep Method (LMM) for Ordinary Differential Equations

Lecture 63 - Convergence and Zero Stability for LMM

Lecture 64 - Matlab/Octave Code for Initial Value Problems

Lecture 65 - Advantage of Implicit and Explicit Methods Over Each other via Matlab/Octave Codes for Initial value Problem