Lecture 1.1: Operators, differences table, various methods of interpolation

Lecture 1.2: Derive Newton formula for forward interpolation with equal intervals.

Lecture 1.2.A: Problems of Newton forward formula for equal intervals.

Lecture 1.3: Derive Newton formula for backward interpolation with equal intervals.

Lecture 1.3.A: Problems of Newton backward formula for equal intervals

Lecture 1.4.A: Problems of Newton’s divided difference formula for unequal intervals

Lecture 2.1: Different types of error

Lecture 2.2: Derive Trapezoidal rule, Simpson’s one-third rule, Simpson’s three-eight rule, Weddle’s rule

Lecture 2.2.A: Problems of Trapezoidal rule, Simpson’s one-third rule, Simpson’s three-eight rule, Weddle’s rule

Lecture 3.1: Derive Picard’s method

Lecture 3.1.A: Problems of Picard’s method

Lecture 3.2: Derive Euler’s method. Problems of Euler’s method

Lecture 3.3: Derive Modified Euler’s method

Lecture 3.3.A: Problems of Modified Euler’s method

Lecture 3.4: Derive Runge-Kutta method. Problems of Runge-Kutta method

Lecture 4.1: Derive Newton-Raphson method. Problems of Newton-Raphson method

Lecture 4.2: Derive Cramer's Rule, Problems of Cramer's Rule

Lecture 4.3: Derive Gauss elimination method. Problems of Gauss-Jordan elimination method.

Lecture 4.4: Derive Method of factorization

Lecture 4.4.A: Problems Method of factorization

Lecture 4.5: Derive Jacobi Iteration method. Problems Jacobi Iteration method

Lecture 4.6: Derive Gauss-Seidel Iteration method. Problems Jacobi Iteration method

Lecture 5.1: Derive Gauss elimination method and Gauss-Jordan elimination method. Problems of Gauss elimination method and Gauss-Jordan elimination method

Lecture 5.2: Derive Crout’s method. Problems of Crout’s method

Lecture 5.3: Define eigenvalue, eigenvector. Problems of eigenvalue, eigenvector

Lecture 6.1: Derive Method of least squares

Lecture 6.1.A: Problems of Method of least squares