(Syllabus) Ed.CET-2011 Entrance Test "Mathematics " Syllabus

Submitted by IITguru on Fri, 04/01/2011 - 12:07

Ed.CET-2011 Entrance Test Syllabus
Mathematics (Marks-100)

Mathematics Syllabus:

  1. Sets - relations - binary operations - semi groups - groups - subgroups -normal subgroups- homomorphism-Functions permutations permutation groups - cyclic groups - quotient group - automorphism.
  2. Rings - Integral domains - fields - characteristic - homomorphism - Ideals - Prime Ideals - maximal ideals - Rings of permutations - polynomials - polynomial rings.
  3. Vector spaces - linearly independent vectors - Basis - dimension - linear transformation -- Null space -- Range -- Rank of a linear transformation.
  4. Elementary matrix operations - Elementary matrices - Determinants - properties - rank of matrix - inverse of a matrix - Eigen vectors - Eigen values - systems of linear equations.
  5. Three dimensional geometry -- Coordinates -- distance formula - direction cosines - plane - angle between two planes - perpendicular distance from a point - Equation of a line - skew lines - shortest distance - The sphere - tangent plane power of a point - polar plane and pole - radical plane - coaxial system of spheres - The circle - radius - centre.
  6. Real numbers - properties - functions - range - sequences - series - limits - continuity - differentiability - differentiation - mean value theorems -- L'Hospital rules -- Integration definite integrals - Reimann integral.
  7. Differential equations - first order and first degree - different forms - Exact differential equations - change of variables - equation of first order but not of first degree - higher order linear differential equations - system of linear differential equations.
  8. Elements of Number theory - Divisibility - primes - congruences - solutions of congruences - congruences of degree 1 The Euler function O.
  9. Quadratic equations - quadratic

Syllabus Links:

Courtesy: edcet2011.com



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