#1
7th September 2012, 03:43 PM
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JAM entrance
I want to get admission in Indian Institute of Technology, so tell me about the syllabus for Joint Admission test ?
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#2
8th September 2012, 09:52 AM
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Re: JAM entrance You are looking for the syllabus for the syllabus for Indian Institute of Technology Joint Admission test…Here I am providing the detailed syllabus… Sequences, Series and Differential Calculus: Sequences of real numbers. Convergent sequences and series, absolute and conditional convergence. Mean value theorem. Taylor's theorem. Maxima and minima of functions of a single variable. Functions of two and three variables. Partial derivatives, maxima and minima. Integral Calculus: Integration, Fundamental theorem of calculus. Double and triple integrals, Surface areas and volumes. Differential Equations: Ordinary differential equations of the first order of the form y'=f(x,y). Linear differential equations of second order with constant coefficients. Euler-Cauchy equation. Method of variation of parameters. Vector Calculus: Gradient, divergence, curl and Laplacian. Green's, Stokes and Gauss theorems and their applications. Algebra: Groups, subgroups and normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups, rings, ideals, quotient rings and fields. Linear Algebra: Systems of linear equations. Matrices, rank, determinant, inverse. Eigenvalues and eigenvectors. Finite Dimensional Vector Spaces over Real and Complex Numbers, Basis, Dimension, Linear Transformations. Real Analysis: Open and closed sets, limit points, completeness of R, Uniform Continuity, Uniform convergence, Power series. Sequences, Series and Differential Calculus: Sequences of real numbers. Convergent sequences and series, absolute and conditional convergence. Mean value theorem. Taylor's theorem. Maxima and minima of functions of a single variable. Functions of two and three variables. Partial derivatives, maxima and minima. Integral Calculus: Integration, Fundamental theorem of calculus. Double and triple integrals, Surface areas and volumes. Differential Equations: Ordinary differential equations of the first order of the form y'=f(x,y). Linear differential equations of second order with constant coefficients. Euler-Cauchy equation. Method of variation of parameters. Vector Calculus: Gradient, divergence, curl and Laplacian. Green's, Stokes and Gauss theorems and their applications. Algebra: Groups, subgroups and normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups, rings, ideals, quotient rings and fields. Linear Algebra: Systems of linear equations. Matrices, rank, determinant, inverse. Eigenvalues and eigenvectors. Finite Dimensional Vector Spaces over Real and Complex Numbers, Basis, Dimension, Linear Transformations. Real Analysis: Open and closed sets, limit points, completeness of R, Uniform Continuity, Uniform convergence, Power series. For the complete syllabus I am attaching the file |
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