Algebra (Weightage 36%)  

Topics from Algebra

  • Sets and their represntation (13 concepts)
  • Union (6 concepts)
  • Intersection and complement of sets and their algebric properties (21 concepts)
  • Power set (3 concepts)
  • Relation (21 concepts)
  • Types of relations (10 concepts)
  • Functions (13 concepts)
  • One-one , into and onto functions (11 concepts)
  • Composition of functions (17 concepts)
  • Complex numbers as ordered pairs of reals (3 concepts)
  • Argand diagram (8 concepts)
  • Representation of complex numbers in the form of a+ib and their represenation in a plane (1 concepts)
  • Algebra of complex numbers (5 concepts)
  • Modulus and argument(or amplitude) of a complex number (25 concepts)
  • Square root of a complex number (1 concepts)
  • Triangle inequality (2 concepts)
  • Quadratic equations in real and complex number system and their solutions (5 concepts)
  • Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots (38 concepts)
  • Matrices, algebra of matrices, types of matrices (56 concepts)
  • Determinants and matrices of order two and three (2 concepts)
  • Properties of determinants, evaluation of determinants (14 concepts)
  • Adjoint and evaluation of inverse of a square matrix using deteminants and elementary transformations (14 concepts)
  • Test of consistency and solution of simultaneous linear equation in two or three variables using determinants and matrices (15 concepts)
  • Fundamental principle of counting (3 concepts)
  • Permutation as an arrangement and combination as selection (17 concepts)
  • Meaning of P(n,r) and C( n,r), Simple applications (38 concepts)
  • Bionomial theorem for a positive integral index, general term and middle term (21 concepts)
  • Properties of bionomial coefficients and simple applications (21 concepts)
  • Principle Of Mathematical Induction And Its Simple Applications (10 concepts)
Exams
Articles
Questions