Syllabus MCA First year Syllabus of Tamilnadu Open University Computer Oriented Numerical Methods paper

MCA First year Syllabus of Tamilnadu Open University Computer Oriented Numerical Methods paper

Posted Date: 31-Jan-2011	Category: Syllabus	Rating:
Author: Ravi	Member Level: Diamond	Points: 2

MCA Computer Oriented Numerical Methods Syllabus of Tamilnadu Open University, Reference books for MCA Computer Oriented Numerical Methods paper Tamilnadu Open University is listed in this article. Details Computer Oriented Numerical Methods syllabus is given in this article.

MCA First year Syllabus of Tamilnadu Open University Computer Oriented Numerical Methods paper

TNOU MCA Paper Code : MCA 08
TNOU MCA Paper Title: Computer Oriented Numerical Methods

Block 1 Syllabus : Computer Arithmetic and Solution of Non-Linear Equations : Introduction – Floating Point Arithmetic and Errors: Floating point represent of Numbers – Sources of Errors – Non-Associativity of Arithmetic – Propagated Errors – Pitfalls in Computation. Solution of Non-Linear equations: Bisection – Fixed point – Regula falsi – Newton's Raphson – Secant method. Convergence criteria of Iterative methods .

Block 2 Syllabus : Solution of simultaneous Linear Algebraic Equations and ordinary differential equations : Cramer's Rule - Gauss elimination method – Pivoting Strategies - Gauss Jordan method – Jacobi Iterative method – Gauss Seidal method –Comparison of Direct and Iterative methods.

Block 3 Syllabus : Interpolation and Curve Fitting : Problem of Interpolation - Langranges method of Interpolation – Inverse Interpolation – Newton's interpolation formulae – Error of the Interpolating Polynomial - Interpolation at equally spaced points : Forward and Backward differences – Newton's forward and backward difference formulas. Fitting of polynomials and other curve - Least square approximation of functions - linear and polynomial regressions.

Block 4 Syllabus : Numerical differentiation and Integration : Differentiation based on polynomia fit - Numerical integration using Simpson,s rule and Gaussian quadratic formula - Numerical solution of differential equations of the form dy/dx=f(x,y) using Euler,s method and Runge-Kutta methods.

MCA Reference Books :

1. Numerical methods for Scientific and Engineering Computation by M.K.Jain, S.R.K.Iyengar, R.K. Jain.
2. Elementary Numerical Analysis by Samuel D.Conte and Cart de Boor, McGraw Hill International Edition.
3. Numerical methods for Science and Engineering, PHI by R.G.Stanton
4. Computer based numerical algorithms by E.V.Krishnamoorthy
5. Introduction to Numerical Analysis by E.Atkinson

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