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GATE 2008 SYLLABI XE - Engg Sciences SECTION B
Posted Date: 25 Sep 2007 Resource Type: Articles/Knowledge Sharing Category: General
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Posted By: Bala Member Level: Diamond
Rating:  Points: 3
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SECTION B. COMPUTATIONAL SCIENCE
Numerical Methods: Truncation errors, round off errors and their propagation; Interpolation: Lagrange, Newton's forward, backward and divided difference formulas, Least square curve fitting; Solutions of non linear equations of one variable using bisection, false position, Secant and Newton Raphson methods, Rate of convergence of these methods, general iterative methods, Simple and multiple roots of polynomials; Solutions of system of linear algebraic equations using Gauss elimination methods, Jacobi and Gauss - Seidel iterative methods and their rate of convergence; Ill conditioned and well conditioned system, Eigen values and Eigen vectors using power methods; Numerical integration using trapezoidal, Simpson's rule and other quadtrature formulas; Numerical Differentiation; Solution of boundary value problems; Solution of initial value problems of ordinary differential equations using Euler's method, predictor corrector and Runge Kutta method.
Computer System Concepts: Representation of fixed- and floating-point numbers; Elementary concepts and terminology of basic building blocks of a computer system and system software.
Fortran: Fortran-90 for Numerical Computation: Basic data types including complex numbers; Arrays; Assignment statements; Structured Programming Constructs: Loops, Conditional execution, iteration and recursion; Functions and subroutines; Structured programming practices.
C language: Basic data types including pointers; Assignments statements; Control statements; Dynamic memory allocation; Functions and procedures; Parameter passing mechanisms; Structured programming practices.
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