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Course Detail

Course Name Numerical Analysis and Optimization Techniques
Course Code 18MA311
Program M. C. A., M. C. A. ( Offered at Mysuru Campus )
Semester Four
Credits Four
Year Taught 2018
Degree Postgraduate (PG)
School School of Arts and Sciences, School of Engineering
Campus Kochi, Mysuru, Amritapuri


Errors In Numerical Calculations Types Of Errors-Significant Digits-Programming Errors- Numerical Solution Of Non Linear Equations-Bisection Method-RegulaFalsi Method-Newton Raphson Method –Fixed Point Method Of Iteration – Rates Of Convergence Of These Methods-Solutions Of Algebraic Equations-Guass Elimination Method-Relaxation Method-Gauss Seidel Iteration Method-Gauss Jordan Method-Polynomial Interpolation – Lagrange’s Interpolation Polynomial-Divided Differences-Newton’s Divided Difference Interpolation-finite Differences-Operators (∆, ∇ and E)-Gregory-Newton ForwardAnd Backward Difference Interpolation Polynomials-Central Differences.Mathematical Formulation Of Linear Programming problem-Formulation Of LPP-Graphical Solution Of LPP – Canonical And Standard Form Of LPP-Simplex Method-Big M Method- Two Phase Method-Principle Of duality-Dual Simplex Method.Transportation Problem-Initial Basic Feasible Solution-North West Corner Rule-Vogel’s. Approximation Method –Tests For Optimality-Unbalanced Transportation Problem-Assignment Problem-Travelling Salesman Problem.

Text Books

  1. Sastry S.S., Numerical Analysis, Prentice-Hall India (module I), 4th edition
  2. KanthiSwarup, P.K.Gupta,Man Mohan, Operations research, Sultan Chand & Sons.(module II), 5th edition.
  3. R Panneerselvam – Operations research, 2nd edition, PHI
  4. Froberg, Introduction to Numerical Analysis-Second Edition, Addition Wesley
  5. Gerald and Wheatley, Applied Numerical Analysis, Pearson Education Asia, Sixth Edition
  6. S.S Rao, Optimization Theory and Applications, Wiley Eastern
  7. Grawin W. W, Introduction of Linear Programming, McGraw Hill.

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