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Indian Institute of Science entrance exam syllabus of Mathematics 
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Re: Indian Institute of Science entrance exam syllabus of Mathematics
As you want to get the Indian Institute of Science en trance exam syllabus of Mathematics so here it is for you: 1. Algebra Theory of Equations Relations between roots and Coefficients. Newton’s identities. Rolle’s theorem, Reciprocal Equations, Des Cartes, Rule of Signs, Cubic and quark equations, Complex numbers and De Moivre’s Theorem. Determinants Cofactors, Properties of determinants, Solution of a Linear System, Cramer’s Rule. Inequalities AMGM inequality, CauchySchwarz inequality. Set Theory : Relations, Functions, Cardinality. Algebraic Structures Binary Operations, Groups, Rings: Definitions, Examples and Elementary Theorems. Vector Spaces Subspaces, Linear Independence, Bases, Dimension Linear Transformations, Matrices, Rank Nullity, Eigen values and Eigen vectors. 2. Geometry : Twodimensional Coordinate Geometry Conics and their equations in Cartesian and Polar Coordinates, Ellipse, Parabola and Hyperbola. Threedimensional Coordinate Geometry Planes, Lines, Spheres and Cones. 3. Vector Algebra and Vector Calculus : Vectors, addition, Scalar multiplication. Dot Product, Cross Product, Triple Product, Equations to the Line and the Plane. Grad, Divergence and Curl, Vector Integration, Green’s Gauss’ and Stokes’ Theorems. 4. Calculus and Analysis Real Number System, Sequence and Series. Continuity, Differentiability. Mean Value Theorems, Indeterminate Value Theorem, L’Hospital Rule, Tangents and Normals, Maxima and Minima. Riemann Integration, Multiple Integrals, Partial differentiations, Lengths, areas and volumes by integration. 5. Differential Equations First Order ODE Method of Separation of Variables: Exact equations: Euler’s equation: Orthogonal Family of curves, Second Order Linear ODE : Variation of Parameters. Contact Details: Indian Institute of Science CV Raman Rd, Bangalore, Karnataka 560012 India Map Location: 
