### EAMCET Mathematics Syllabus

**Subject : MATHEMATICS**

**I. ALGEBRA:** (a) Functions – Types of functions – Algebra of real valued functions (b) Mathematical induction and applications (c) Permutations and Combination – linear and circular permutations – combination.(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.(c) Transformations (d) Trigonometric equations (e) Inverse trigonometric functions (f) Hyperbolic and inverse hyperbolic functions (g) Properties of Triangles (h) 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 – 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 – Hyperabola – Equations of tangent, normal and polar at any point of these conics (g) Polar Coordinates (h) Coordinates in three – dimensions, distance between two points in the space, Section formula and their applications (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.

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