Algebra of complex numbers, modulus and argument, triangle
inequality, nth roots of unity. Theory of quadratic equations
and quadratic expressions, relationship between the roots
and coefficients, sign of a quadratic expression, greatest
and least values of quadratic expression. Arithmetic geometric
and harmonic progressions, sums of arithmetic, geometric
and harmonic progressions, infinite geometric series, sums
of the squares and cubes of the first n natural numbers.
Mathematical induction, permutations and combinations, Binomial
theorem for a positive integral index. Determinants of order
two and three, solutions of simultaneous linear equations
in two and three variables.
Trigonometric functions and their graphs, addition and subtraction
formulae, formula involving multiple and sub multiple angles,
general solution of trigonometric equations, relations between
the sides and angles of triangle, properties of a triangle,
solutions of triangles, heights and distances, trigonometric
ANALYTICAL GEOMETRY OF TWO DIMENSIONS :
Equation of straight line in various forms, angle between
tow lines, distance of a point from a line, line through
the point of intersection of two given lines, concurrency
of lines. Equation of a circle in various forms, equations
of tangent and normal, intersection of a circle with a straight
line, equation of a circle through the points of intersection
of two circles and that of a circle and a straight, line.
Equations of the conic sections in the standard form, focus,
directrix, eccentricity of the conic section, parametric
equations, equations of tangent and normal
Into, onto and one-to-one functions, Sum, difference, product
and quotient of two functions, composite function; absolute
value, greatest integer, polynomial, rational, trigonometric,
exponential and logarithmic functions, even and odd functions,
inverse of a function. Limit and continuity of a function,
limit and continuity of the sum, difference, product and
quotient of two functions, continuity of composite function.
Derivative of a function, derivative of composite and implicit
functions, derivatives of polynomial, rational, trigonometric,
inverse trigonometric, exponential and logarithmic functions.
Geometrical interpretation of derivative, tangents and normal.
Monotonicity, maximum and minimum values of a function.
Derivatives upto order three.
INTEGRATION, DIFFERENTIAL EQUATIONS :
Integration as the inverse proves of differentiation, integration
by parts, integration by the methods of substitution and
partial fraction, Definite integral and its application
for the determination of areas. Properties of definite integrals.
Formational of differential equations. First order equation,
variables separable and homogeneous equations.
Addition and multiplication laws of probabilities, conditional
Addition and vectors, scalar products, cross product, scalar
and vector triple products, applications in geometry.
a) APTITUDE TEST
It will consist of analytical and logical reasoning.
b) GENERAL KNOWLEDGE
It will consist of General Knowledge related to Information
It will consist of English (language) to test the communication
skills of candidates.