
CBSE: All India Engineering
Entrance Examinations (AIEEE)
Syllabus: Mathematics - 2012
Unit 1 : Sets, Relations and Functions:
Sets and their representation; Union, intersection and
complement of sets and their algebraic properties; Power set; Relation, Types of
relations, equivalence relations, functions;. one-one, into and onto functions,
composition of functions.
Unit 2 : Complex Numbers and Quadratic Equations:
Complex numbers as ordered pairs of reals, Representation of
complex numbers in the form a+ib and their representation in a plane, Argand
diagram, algebra of complex numbers, modulus and argument (or amplitude) of a
complex number, square root of a complex number, triangle inequality, Quadratic
equations in real and complex number system and their solutions. Relation
between roots and co-efficients, nature of roots, formation of quadratic
equations with given roots.
Unit 3 : Matrices and Determinants:
Matrices, algebra of matrices, types of matrices,
determinants and matrices of order two and three. Properties of determinants,
evaluation of determinants, area of triangles using determinants. Adjoint and
evaluation of inverse of a square matrix using determinants and elementary
transformations, Test of consistency and solution of simultaneous linear
equations in two or three variables using determinants and matrices.
Unit 4 : Permutations and Combinations:
Fundamental principle of counting, permutation as an arrangement and
combination as selection, Meaning of P (n,r) and C (n,r), simple applications.
Unit 5 : Mathematical Induction:
Principle of Mathematical Induction and its simple applications.
Unit 6 : Binomial Theorem and It's Simple Applications:
Binomial theorem for a positive integral index, general term and middle term,
properties of Binomial coefficients and simple applications.
Unit 7 : Sequences and Series:
Arithmetic and Geometric progressions, insertion of
arithmetic, geometric means between two given numbers. Relation between A.M. and
G.M. Sum upto n terms of special series: S n, S n2, Sn3. Arithmetico – Geometric
progression.