The detailed syllabus for Numerical Methods B.Tech (R13) fourthsem is as follows

OBJECTIVES:

This course aims at providing the necessary basic concepts of a few numerical methods and give procedures for solving numerically different kinds of problems occurring in engineering and technology

UNIT I : SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS   [10+3 hours]
Solution of algebraic and transcendental equations – Fixed point iteration method – Newton Raphson method- Solution of linear system of equations – Gauss elimination method – Pivoting – Gauss Jordan method – Iterative methods of Gauss Jacobi and Gauss Seidel – Matrix Inversion by Gauss Jordan method – Eigen values of a matrix by Power method.

UNIT II : INTERPOLATION AND APPROXIMATION            [8+3 hours]
Interpolation with unequal intervals – Lagrange’s interpolation – Newton’s divided difference interpolation – Cubic Splines – Interpolation with equal intervals – Newton’s forward and backward difference formulae.

UNIT III : NUMERICAL DIFFERENTIATION AND INTEGRATION      [9+3 hours]
Approximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal, Simpson’s 1/3 rule – Romberg’s method – Two point and three point Gaussian quadrature formulae – Evaluation of double integrals by Trapezoidal and Simpson’s 1/3 rules.

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[TOTAL (L:45+T:15): 60 PERIODS]

OUTCOMES:

• The students will have a clear perception of the power of numerical techniques, ideas and would be able to demonstrate the applications of these techniques to problems drawn from industry, management and other engineering fields.

TEXT BOOKS:

• Grewal. B.S., and Grewal. J.S.,”Numerical methods in Engineering and Science”,
  Khanna Publishers, 9th Edition, New Delhi, 2007.
• Gerald. C. F., and Wheatley. P. O., “Applied Numerical Analysis”, Pearson Education, Asia, 6th Edition, New Delhi, 2006.

REFERENCES:

• Chapra. S.C., and Canale.R.P., “Numerical Methods for Engineers, Tata McGraw Hill, 5th Edition, New Delhi, 2007.
• Brian Bradie. “A friendly introduction to Numerical analysis”, Pearson Education, Asia, New Delhi, 2007.
• Sankara Rao. K., “Numerical methods for Scientists and Engineers”, Prentice Hall of India Private, 3rd Edition, New Delhi, 2007.

For all other B.Tech TT 4th sem syllabus go to Anna University B.Tech TEXTILE TECHNOLOGY (TT) 4th Sem Course Structure for (R13) Batch.All details and yearly new syllabus will be updated here time to time. Subscribe, like us on facebook and follow us on google plus for all updates.

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