SYLLABUS FOR THE ENGINEERING STREAM OF EAMCET 2014:
MATHEMATICS
I.
ALGEBRA: (a) Functions – Types of functions – Algebra of
real valued functions (b) Mathematical induction and applications (c)
Permutations and Combinations – linear and circular
permutations – combinations. (d) Binomial theorem – for a
positive integral index – for any rational index –
applications – Binomial Coefficients. (e) Partial fractions (f)
Exponential and logarithmic series (g) Quadratic expressions,
equations and inequations in one variable. (h) Theory of equations –
Relations between the roots and Coefficients in any equation –
Transformation of equations – reciprocal equations. (i)
Matrices and determinants –Types of matrices – Algebra of
matrices – Properties of determinants – simultaneous
linear equations in two and three variables – Consistency and
inconsistency of simultaneous equations. (j) Complex numbers and
their properties – De Moivre’s theorem –
Applications – Expansions of trigonometric functions.
II.
TRIGONOMETRY: (a) Trigonometric functions – Graphs –
periodicity (b) Trigonometric ratios of compound angles, multiple and
sub-multiple angles, Transformations-sum and product rules (c)
Trigonometric equations (d) Inverse trigonometric functions (e)
Hyperbolic and inverse hyperbolic functions (f) Properties of
Triangles (g) Heights and distances (in two-dimensional plane).
III.
VECTOR ALGEBRA : (a) Algebra of vectors – angle between two
non-zero vectors – linear combination of vectors – vector
equation of line and plane (b) Scalar and vector product of two
vectors and their applications c) Scalar and vector triple products,
Scalar and vector products of four vectors.
IV.
PROBABILITY : (a) Random experiments – Sample space –
events – probability of an event – addition and
multiplication theorems of probability – Conditional event and
conditional probability - Baye’s theorem (b)Random variables –
Mean and variance of a random variable – Binomial and Poisson
distributions
V.
COORDINATE GEOMETRY : (a) Locus, Translation of axes, rotation of
axes (b) Straight line (c) Pair of straight lines (d)Circles (e)
System of circles (f) Conics – Parabola – Ellipse –
Hyperbola – Equations of tangent, normal, chord of contact and
polar at any point of these conics, asymptotes of hyperbola. (g)
Polar Coordinates (h) Coordinates in three dimensions, distance
between two points in the space, section formula, centroid of a
triangle and tetrahedron. (i) Direction Cosines and direction ratios
of a line – angle between two lines (j) Cartesian equation of a
plane in (i) general form (ii) normal form and (iii)intercept form –
angle between two planes (k) Sphere – Cartesian equation –
Centre and radius
VI.
CALCULUS : (a) Functions – limits – Continuity (b)
Differentiation – Methods of differentiation (c) Successive
differentiation – Leibnitz’s theorem and its applications
(d) Applications of differentiation (e) Partial differentiation
including Euler’s theorem on homogeneous functions (f)
Integration – methods of integration (g) Definite integrals and
their applications to areas – reduction formulae (h) Numerical
integration – Trapezoidal and Simpson’s rules (i)
Differential equations – order and degree – Formation of
differential equations – Solution of differential equation by
variables seperable method – Solving homogeneous and linear
differential equations of first order and first degree.
