## Wednesday, August 22, 2012

### MA2264 NUMERICAL METHODS SYLLABUS | ANNA UNIVERSITY B.TECH. POLYMER TECHNOLOGY 5TH SEMESTER SYLLABUS REGULATION 2008 2011 2012-2013

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MA2264 NUMERICAL METHODS SYLLABUS | ANNA UNIVERSITY B.TECH. POLYMER TECHNOLOGY 5TH SEMESTER SYLLABUS REGULATION 2008 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIFTH SEMESTER B.TECH. POLYMER TECHNOLOGY DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS, IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009

MA2264 NUMERICAL METHODS L T P C
3 1 0 4
AIM
To apply mathematical principles to engineering problems and design of process
equipments
UNIT I SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS 9
Iterative method, Newton – Rap son method for single variable and for simultaneous
equations with two variables Solutions of linear system by Gaussian, Gauss-Jordan,
Jacobi and Gauss – Seidel methods Inverse of a matrix by Gauss – Jordan method
Eigen value of a matrix by power and Jacobi methods
UNIT II INTERPOLATION 9
Newton’s divided difference formula, Lagrange’s and Hermite’s polynomials Newton
forward and backward difference formulae Stirling’s and Bessel’s Central difference
formulae
UNIT III NUMERICAL DIFFERENTIATION AND INTEGRATION 9
Numerical differentiation with interpolation polynomials, Numerical integration by
Trapezoidal and Simpson’s (1/3rd and 3/8th) rules Two and three point Gaussian
Quadrature formula Double integrals using Trapezoidal and Simpson’s rules
UNIT IV INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL
EQUATIONS 9
Single step Methods – Taylor Series, Euler and Modified Euler, Runge – Kutta method of
order four for first second order differential equations. Multi step methods-Milne and
Adam’s Bash forth predictor and corrector methods
UNIT V BOUNDARY VALUE PROBLEMS FOR ORDINARY AND PARTIAL
DIFFERENTIAL EQUATIONS 9
Finite difference solution for the second order ordinary differential equations Finite
difference solution for one dimensional heat equation (both implicit and explicit), one
dimensional wave equation and two dimensional lap lace and poison equations
L: 45, T: 15 TOTAL : 60 PERIODS
TEXT BOOKS
1. Sastry, S.S., “Introduction of Numerical Analysis (Third Edition)”, Printice Hall of
India, New Delhi, 1998.
2. Gerald C.F., Wheatley P.O., “Applied Numerical Analysis (Fifth Edition)”, Addison –
Wesley, Singapore, 1998.
REFERENCES
1. Kandasamy, P., Thilakavthy, K and Gunavathy, K. “Numerical Methods”, S.Chand
and Co., New Delhi, 1999.
2. Grewal B.S., Grewal J.S., “Numerical Methods in Engineering and Science”, Khanna
Publishers, New Delhi, 1999.
3. Jain M.K., Iyengar S.R.K and Jain R.K., “Numerical Methods for Engineering and
Scientific Computation (Third Edition)”, New Age International (P) Ltd., New Delhi,
1995.
4. Narayanan S., Manickavachakam Pillai K. and Ramanaiah G., “Advanced
Mathematics for Engineering Students Vol.-III”, S.Viswanathan Pvt. Ltd., Chennai,
1993.