Numerical Method in Engineering PTU

I want to get ME-309 Numerical Method in Engineering notes of Punjab Technical University, Jalandhar so is there any specific book for this subject or not if yes then please provide me that book or if any one has old notes of that subject then please provide me that too ?

Can you provide me the Syllabus of - 6th Semester - BTME-604 Statistical and Numerical Methods under B. Tech. Mechanical Engineering [M.E.] offered by Punjab Technical University Kapurthala?

[pawan]

The Syllabus of - 6th Semester - BTME-604 Statistical and Numerical Methods under B. Tech. Mechanical Engineering [M.E.] offered by Punjab Technical University Kapurthala is as follows:

6th Semester

BTME-604 STATISTICAL AND NUMERICAL METHODS

Internal Marks: 40 External Marks: 60 Total Marks: 100
1. Data, its Arrangements and Measures:
Introduction: Data, Data Array; Frequency Distribution Construction and Graphic representation. Mean, median, mode and standard deviation.
2. Probability and Probability Distributions:
Introduction: Definition probability and Probability Distribution; Conditional probability; Random variables, Poisson, Normal and Binomial distributions.
3. Sampling and Sampling Distributions:
Introduction: Fundamentals of Sampling, Large samples, small samples; Normal sampling distributions; Sampling distribution of the means, t-Distribution, F-Distribution, Chi-square Distribution.
4. Errors in Numerical Calculations:
Errors and their analysis, general error formula, errors in a series approximation
5. Solution of Algebraic and Transcendental Equations:
Bisection method, iteration method, Method of false position,, Newton -Raphson method, solution of systems of non linear equations.
6. Interpolation Method:
Finite difference, forward, backward and central difference, Difference of polynomial, Newtons formulae for interpolation, central difference interpolation formulae, Interpolation with unevenly spaced points, Newton's general interpolation formula, interpolation by iteration.
7. Numerical Differentiation and Integration:
Numerical differentiation, maximum and minimum values of a tabulated function; Numerical Integration trapezoidal rule, Simpson1/3 rule, Simpsons 3/8 rule, Newton-cots integration formulae; Euler-Meclaurin formula, Gaussian integration(One dimensional only)
8. Solution of Linear Systems of Equations:
Gauss Elimination method (fall and banded symmetric and unsymmetric systems), Gauss Jordon method Eigen value problems (Power method only)
9. Numerical solution of ordinary and partial differential equations:
Solution by Taylor's series, Prediction -correction method, Boundary value problems, Prediction corrector method, Euler's and modified Euler's method, Runge-Kutta method, finite difference methods. Finite difference approximation to derivatives, Solution to Laplaces equation- Jacobi's method, Gauss Siedel method.
Note: The students are required to develop computer programs (using any high level language) for different Numerical Methods as part of assignment work.

Books:
1. S. S. Sastry, Introductory methods of numerical analysis by: Prentice Hall of India
2. V. RajaRaman, Computer Oriented Numerical Methods3.
S.D. Conte, Cari De Boor, Elementary Numerical Analysis, Mc Graw Hill
4. B. Cornahn, Applied Numerical Methods, John Wiley.
5. Richard I. Levin, S. David., Rubin Statistics for Management, Pearson.