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File: Matrix Calculus Pdf 173167 | Ma1020
ma1020 mathematics ii series sequences of real numbers series ratio and root test improper integral integral test alternating series absolute and conditional convergence power series radius and interval of convergence ...

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                                    MA1020     Mathematics-II 
            Series: Sequences of real numbers, Series, ratio and root test, improper integral, integral test, 
            alternating series, absolute and conditional convergence, power series, radius and interval of 
            convergence of power series, term by term differentiation and integration of power series, 
            Taylor’s formulas, Taylor series, periodic functions and Fourier series, convergence of 
            Fourier series, functions of any period, even and odd functions, half-range expansions. 
            Matrices: Matrix operations, special types of matrices, matrices as linear transformations, 
            linear independence, basis and dimension, rank of a matrix, nullity of a matrix, elementary 
            operations, inverse of a matrix, orthogonalization, determinant, existence- uniqueness of 
            solutions of a linear system, Gaussian elimination, Gauss-Jordan elimination, Eigenvalues, 
            eigenvectors, eigenvalues of special types of matrices, similarity of matrices, basis of 
            eigenvectors, diagonalization. 
            Texts: 
            1. G.B. Thomas Jr., M.D. Weir and J.R. Hass, Thomas Calculus, Pearson Education, 
            2009. 
            2. E. Kreyszig, Advanced Engineering Mathematics, 10th Ed., John Willey & Sons, 
            2010. 
            REFERENCES: 
            1. J. Hefferon, Linear Algebra, http://joshua.smcvt.edu/linearalgebra, 2014. 
            2. S. Lang, Introduction to Linear Algebra, 2nd Ed., Springer-Verlag, 1986. 
            3. M.T. Nair, Calculus of One Variable, Ane Books, 2014. 
            4. N. Piskunov, Differential and Integral Calculus Vol. 1-2, Mir Publishers, 1974. 
            5. G. Strang, Linear Algebra and its Applications., 
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...Ma mathematics ii series sequences of real numbers ratio and root test improper integral alternating absolute conditional convergence power radius interval term by differentiation integration taylor s formulas periodic functions fourier any period even odd half range expansions matrices matrix operations special types as linear transformations independence basis dimension rank a nullity elementary inverse orthogonalization determinant existence uniqueness solutions system gaussian elimination gauss jordan eigenvalues eigenvectors similarity diagonalization texts g b thomas jr m d weir j r hass calculus pearson education e kreyszig advanced engineering th ed john willey sons references hefferon algebra http joshua smcvt edu linearalgebra lang introduction to nd springer verlag t nair one variable ane books n piskunov differential vol mir publishers strang its applications...

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