MA 9328 APPLIED NUMERICAL METHODS SYLLABUS | ANNA UNIVERSITY MTECH NANO TECHNOLOGY 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER M.TECH NANOTECHNOLOGY DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI, TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
MA 9328 APPLIED NUMERICAL METHODS L T P C
3 0 0 3
UNIT I 9
Solution of Algebraic and Transcendal Equations, Bisection Method, Method of False
Position, Iteration Method, Secant Method and Muller’s Method
UNIT II 9 Matrices and Linear Systems of Equations, Solution of Linear Systems: Matrix Inversion
Method, Gauss Elimination Method, Gauss-Jordan Method, Gauss-Seidal iteration
Method, Solution of Tridiagonal Systems. Eigenvalue Problems- Eigenvalues of a
symmetric Tridiagonal Matrix, Householder Method, QR Method.
UNIT III 9 Numerical Solution of Ordinary Differential Equations, Picard’s Method of Successive
approximations, Eulers Method, Modified Euler’s Method, Range-Kutta Methods.
Boundary-Value Problems- Finite Difference Method, Shooting Method, Cubic Spline
Method
UNIT IV 9 Numerical Solution of Partial Differential Equations, Laplace’s Equation: Jacobi’s Method,
Gauss-Seidal Method, ADI Method, Parabolic Equations, and Hyperbolic Equations.
UNIT V 9 Numerical Solution of Integral Equations, Numerical integrations by Trapezoidal and
Simpson’s 1/3 and 3/8 rules, Two and three point Gaussian quadrature formulas, Double
integrals using trapezoidal and Simposon’s rules. Finite Element Method- Rayleigh-Ritz
Method, Galerkin Method
TOTAL: 45 PERIODS
TEXT / REFERENCE BOOKS:
1. S.S. Sastry, “Introductory Methods of Numerical Analysis”, Prentice-Hall of
India , PVT. LTD, New Delhi, 2005.
2. M.K. Jain , S.R.K. Iyenkar and R.K.Jain “ Numerical Methods Problems and
Solutions”, New Age International Limited Wiley Eastern Limited, New Delhi,1995.
3. P. Kandasamy, K.Thilakavathy and K. Gunavathy “Numerical Methods”S. Chand
&Company Ltd, NewDelhi, 2005.
4. B.S. Grewal, “Numerical Methods in Engineering & Science with Programs in
FORTRAN 77, C &C , Khanna Publishers, New Delhi,2003.
5. V.N. Vedamurthy and N.Ch.S.N. Iyengar, Vikas Publishing House PVT. LTD, 2000,
New Delhi.
6. S. Arumugam, A. Thangapandian Isaac and A. Somasundram, “ Numerical Methods
Second Edition”, SCITECH Publications (India) PVT. LTD, C
MA 9328 APPLIED NUMERICAL METHODS L T P C
3 0 0 3
UNIT I 9
Solution of Algebraic and Transcendal Equations, Bisection Method, Method of False
Position, Iteration Method, Secant Method and Muller’s Method
UNIT II 9 Matrices and Linear Systems of Equations, Solution of Linear Systems: Matrix Inversion
Method, Gauss Elimination Method, Gauss-Jordan Method, Gauss-Seidal iteration
Method, Solution of Tridiagonal Systems. Eigenvalue Problems- Eigenvalues of a
symmetric Tridiagonal Matrix, Householder Method, QR Method.
UNIT III 9 Numerical Solution of Ordinary Differential Equations, Picard’s Method of Successive
approximations, Eulers Method, Modified Euler’s Method, Range-Kutta Methods.
Boundary-Value Problems- Finite Difference Method, Shooting Method, Cubic Spline
Method
UNIT IV 9 Numerical Solution of Partial Differential Equations, Laplace’s Equation: Jacobi’s Method,
Gauss-Seidal Method, ADI Method, Parabolic Equations, and Hyperbolic Equations.
UNIT V 9 Numerical Solution of Integral Equations, Numerical integrations by Trapezoidal and
Simpson’s 1/3 and 3/8 rules, Two and three point Gaussian quadrature formulas, Double
integrals using trapezoidal and Simposon’s rules. Finite Element Method- Rayleigh-Ritz
Method, Galerkin Method
TOTAL: 45 PERIODS
TEXT / REFERENCE BOOKS:
1. S.S. Sastry, “Introductory Methods of Numerical Analysis”, Prentice-Hall of
India , PVT. LTD, New Delhi, 2005.
2. M.K. Jain , S.R.K. Iyenkar and R.K.Jain “ Numerical Methods Problems and
Solutions”, New Age International Limited Wiley Eastern Limited, New Delhi,1995.
3. P. Kandasamy, K.Thilakavathy and K. Gunavathy “Numerical Methods”S. Chand
&Company Ltd, NewDelhi, 2005.
4. B.S. Grewal, “Numerical Methods in Engineering & Science with Programs in
FORTRAN 77, C &C , Khanna Publishers, New Delhi,2003.
5. V.N. Vedamurthy and N.Ch.S.N. Iyengar, Vikas Publishing House PVT. LTD, 2000,
New Delhi.
6. S. Arumugam, A. Thangapandian Isaac and A. Somasundram, “ Numerical Methods
Second Edition”, SCITECH Publications (India) PVT. LTD, C
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