Anna University -Study Materials for all Departments # 080290051 Numerical Methods and Linear Programming ECE 6th Semester Anna University Coimbatore Syllabus Regulation 2008

Anna university Coimbatore Syllabus

080290051 Numerical Methods and Linear Programming ECE 6th Semester Anna University Coimbatore Syllabus Regulation 2008

Department of Electronics and Communication Engineering

Meant for Anna University Coimbatore

Syllabus
(Regulation 2008/2010)
___________________________________________________________________________________
Details:
University:Anna University
Year: Third Year
Department: B.E Electronics and Communication Engineering
Semester:  (VI)
Content: 080290051 Numerical Methods and Linear Programming ECE 6th Semester Anna University Coimbatore Syllabus Regulation 2008
Post Type: Syllabus

UNIT  I:
Curve Fitting and Theory oEquations:

Empirical laws and curve fitting- linear law- method of group averages- principle of Least squares- fitting straight line, parabola, exponential curve- method of moments- theory of equations- Relation between the roots and coefficients of polynomial equation- equations with real coefficients and imaginary roots- equations with rational coefficients and irrational roots- symmetric of roots- Transformation of equations- Reciprocal equations.

UNIT   II:
Solution oEquations:

Solution of numerical algebraic and transcendental equations- the Bisection method- Iteration method- RegulaFalsi method- Newton Raphson method- Horner’s method- Solution of Simultaneous Linear algebraic equations- Gauss Elimination mwethod- Gauss Jordan method- Crout’s method- Gauss Jacobi method- Gauss Seidel method- Relaxation method.

UNIT III:
Difference Calculus:

Finite differences- Forward, Backward and central difference operator- shifting operator- Propertieand  relation between operators- Interpolation-  Newton’s forward and Backward difference interpolation formula- Gauss forward and backward difference interpolation formula- Bessel’s Laplace and Everett formula.

UNIT IV:
Interpolation, Numerical differentiation and Integration:

Interpolation with unequal intervals- Divided differences- Newton’s divided Difference            formula-                      Lagrange’s          interpolation               formula-inverse   interpolation- Numerical                      Differentiation-   Newton’s   forward    and    backward    differentiation formula- Numerical Integration- The trapezoidal rule- Simpson’s 1/3rd  and 3/8th rule-Difference equations- solution of linear homogeneous difference equation with constant coefficients.

UNIT  V:
Numerical Solution of Differential equation:

Numerical  solutions of  ordinary differential equations- Taylor  series method- Picards method- Euler’s Method- Fourth order Runge Kutta method- Milne’s and Adam’s predictor- Corrector methods- Numerical solution of elliptic equation by Leibmann’s method- solution of parabolic equation by Bender Schmidt method- Solution of hyperbolic equation.
Mat lab : Toolkits the course content will be augmented by the usage of Mat lab tool box.

TEXT BOOKS:

1.  Curtis.F.Gerald, Patrick.O Wheatly, Applied Numerical Analysis, 6th
Edition, Pearson Education New Delhi 2002.
2.  John Mathews, Kurtis.D. Fink, Numerical Methods using MATLAB, PHI 1998.
3.  Kandasamy.P   ,    Thilagavathy.K    and   Gunavathy.k,    Numerical methods, S.Chand and company Ltd., New Delhi, 2003.

References:
4. Jain.M.k. Iyengar, S.R.K.Jain, Jain.R.K, Numerical Methods for Scientific and Engineering Computation, 4th Edition New age International Publishers, New delhi, 2003.
5.  Sastry.S.S,  Introductory  Methods  of  Numerical  analysis,  PHI  ,2001.

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