OBJECTIVE : To develop computing and program writing skills.
PREREQUISITE : Ancillary Mathematics at degree level
1. INTRODUCTION AND ALGEBRAIC EQUATIONS [10]
Errors in Numerical approximations: Sources and various types of errors — Chopping and Rounding in different numbers systems — Stability of Numerical algorithms.
Transcendental and polynomial equation: Iterative method, Regular-Falsi Method, Newton Raphson method, Roots of polynomials — Graeffe’s and Bairstow methods.
2. SYSTEM OF EQUATIONS AND INTERPOLATION [10]
Solution of system of linear algebraic equations: Gauss Elimination, Gauss Jordan method, Jacobi and Gauss — Seidal methods. Interpolation — Polynomial interpolation, Lagrange and Newton interpolation, Piecewise polynomial interpolation, Cubic splines, Data fitting, Method of least squares.
3. DIFFERENTIAL EQUATIONS [10]
Euler’s method and its modified form, Range Kutta method of fourth order, Predictor, Corrector methods, Miline’s method, Adams—Moulton method.
4. PROBABILITY DISTRIBUTION AND CORRELATION [10]
Binomial, Poisson and Normal Distribution — Fitting of probability distributions — Correlation and regression, Linear regression, Correlation coefficient, Multiple linear regression.
5. TESTS OF HYPOTHESIS [10]
Tests of Hypothesis — Testing for Attributes — Mean of Normal Population — One- tailed and Two- tailed tests — Student T-test, F-test — Chi-Square test — ANOVA — One way and Two way Classifications.
TEXT BOOKS:
1. M.K.Jain et al, “Numerical Methods for Scientific & Engg. Computation”, 1995, Wisely Eastern Limited.
2. G.W. Snedcor, W.G. Cochrass,”Statistical Methods”, 6 Edn, East West Press.
3. S.C. Gupta, “Introduction to Mathematical Statistics”, 1973, Sultan Chand.
4. S.C. Chapra and R.P. Canale “Numerical Methods for Engineers”, 2002, Tata McGraw Hill.
REFERENCES:
1. J. Thomas King,” Introduction to Numerical Computation”, 1988, McGraw Hill.
2. John, R.Rice, “Numerical Methods: Software and Analysis”, 1983, McGraw Hill.
3. David Kahn et al, “Numerical Methods and Software”, 1989, PHI.
