![]() REFERENCES: 1 David C lay, “ Linear Algebra and its Applications ” Addison –Wesley ,Boston, 2009. Curtis F Gerald and Patrick O Wheatly, “Applied Numerical Analysis”, Pearson Education, New Delhi, 2011. Howard Anton and Chirs Rorres “ Elementary Linear Algebra Applications Version” Wiley India, New Delhi,2010. ![]() (5+4) ORDINARY DIFFERENTIAL EQUATIONS: Numerical methods for initial value problem, single step methods, Euler method, modified Euler method, Runge-Kutta method, Multi step methods Milne method, Adams Moulton Method. (5+3) INTERPOLATION: Lagrange’s polynomial, divided differences, interpolation for evenly spaced data.ĭIFFERENTIATION AND INTEGRATION: Numerical differentiation evenly spaced and unevenly spaced data,numerical integration, Newton-Cotes formulae, Trapezoidal rule, Simpson’s 1/3 rule, Simpson’s 3/8 rule, Gaussian quadratures. NONLINEAR EQUATIONS:, False position method, Newton’s method, convergence criteria, Graeffe’s root squaring method. (10+7) ERRORS: Computer arithmetic and errors. ![]() (12+8) INNER PRODUCT SPACES: Inner products, length and angle in inner product spaces, orthonormal bases, Gram Schmidt process, orthogonal matrices, QR decomposition. SEMESTER 3 12元01 LINEAR ALGEBRA AND NUMERICAL ANALYSIS 302 4 VECTOR SPACE: General vector spaces, real vector spaces, Euclidean n-space, subspaces, linear independence, basis and dimension, row space, column space and null space, eigen values and eigen vectors, diagonalization. ![]()
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