1st YEAR: 1st SEMESTER (JULY-DEC) - CIT, Kokrajhar...

CENTRAL INSTITUTE OF TECHNOLOGY(Centrally Funded Institute Under the Ministry of HRD, Govt. of India)Bodoland Territorial Council, Kokrajhar, Assam-783370(B.Tech Syllabus in Instrumentation Engineering)MA401: NUMERICAL METHODS & COMPUTER PROGRAMMINGCode: MA401Credit: 04L-T-P: 3-1-0Computer ArithmeticFloating point Arithmetic, Normalization, Approximations and errors, types of errors incomputationsTranscendental and Polynomial EquationsMethods of iteration for finding solution of transcendental and equations: Newton RaphsonMethod, Regula-Falsi Method, Bisection Method, Secant Method.Solution of linear simultaneous equations by Gauss Elimination Method & Gauss Siedal Method.Curve Fitting and InterpolationLinear and non-linear Regression Analysis. Difference table, Newton’s Forward and Backwardinterpolation formulae, Lagrange’s Interpolation Formula, Divided differences and Newton’sgeneral formula.Numerical Differentiation & IntegrationNumerical differentiation, Numerical Integration: Trapezoidal and Simpson’s Rules. GaussianQuadrature Formula.Numerical Solution of Ordinary Differential EquationsEuler method, Modified Euler Method, Taylor Series Method, Runge - Kutta Method andPredictor – Corrector Method.Labs: Developing C programs for the following methods:1. Numerical integration by Trapezoidal & Simpson’s Rules2. Various iteration methods for solving transcendental and algebraic equations: viz.Newton Raphson Method, Bisection Method, Regula – Falsi Method, Secant Method3. Gauss – Siedal Iteration Method4. Various matrix operations and their uses as sub – routines5. Use of pointers, data structures, loops, arraysPage 25 of 75