Class notes U20BST322

my class notes comprises of the entire subject topics includes UNIT I SOLUTION OF ALGEBRAIC AND TRANSCENDENTAL EQUATIONS AND EIGENVALUE PROBLEMS: Bisection method- Method of false position -Newton Raphson method (single and system of two equations) -Eigen value and Eigen vector by power method. UNIT II LINEAR SIMULTANEOUS EQUATIONS : Solution of linear simultaneous equations and matrix inversion - Gauss elimination method - Gauss Jordan method - Iterative methods of Gauss Jacobi and Gauss Seidel. UNIT III INTERPOLATION : Finite Differences - Relation between operators - Interpolation by Newton‟s forward and backward difference formula for equal intervals - Newton‟s divided difference method and Lagrange‟s method for unequal intervals- Differentiation based on finite differences - Integrations by Trapezoidal and Simpson‟s rules. UNIT IV SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS : Single step methods -Taylor series method -Picard‟s method -Euler method and Improved Euler methodRungeKutta method of fourth order only. UNIT V SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS : Solution of Laplace and Poisson equations -Leibmann‟s iterative method -Diffusion equation: Bender-Schmitt method and Crank-Nicholson implicit difference method -Wave equation: Explicit difference method.