**EAMCET –2014 SYLLABUS (for Engineering stream)**

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**EAMCET –2014 SYLLABUS (for Engineering stream)**

NOTE

™ In accordance to G.O.Ms.No: 16 Edn., (EC) Dept., Dt: 25th Feb’ 04, EAMCET-2014 Committee has specified the syllabus of

EAMCET-2014 as given hereunder.

™ The syllabus is in tune with the syllabus introduced by the Board of Intermediate Education, A.P., for Intermediate course with

effect from the academic year 2012-2013(1st year) and 2013-2014 (2nd year) and is designed at the level of Intermediate

Course and equivalent to (10+2) scheme of Examination conducted by the Board of Intermediate Education, AP.

™ The syllabus is designed to indicate the scope of subjects included for EAMCET-2014. The topics mentioned therein are not

to be regarded as exhaustive. Questions may be asked in EAMCET-2014 to test the student’s knowledge and intelligent

understanding of the subject.

™ The syllabus is applicable to students of both the current and previous batches of Intermediate Course, who are desirous to

appear for EAMCET-2014.

Subject: MATHEMATICS

1) ALGEBRA : a) Functions: Types of functions – Definitions - Inverse functions and Theorems - Domain, Range, Inverse of real valued functions. b)

Mathematical Induction : Principle of Mathematical Induction & Theorems - Applications of Mathematical Induction - Problems on divisibility. c) Matrices:

Types of matrices - Scalar multiple of a matrix and multiplication of matrices - Transpose of a matrix - Determinants - Adjoint and Inverse of a matrix -

Consistency and inconsistency of Equations- Rank of a matrix - Solution of simultaneous linear equations. d) Complex Numbers: Complex number as

an ordered pair of real numbers- fundamental operations - Representation of complex numbers in the form a+ib - Modulus and amplitude of complex

numbers –Illustrations - Geometrical and Polar Representation of complex numbers in Argand plane- Argand diagram. e) De Moivre’s Theorem: De

Moivre’s theorem- Integral and Rational indices - nth roots of unity- Geometrical Interpretations – Illustrations. f) Quadratic Expressions: Quadratic

expressions, equations in one variable - Sign of quadratic expressions – Change in signs – Maximum and minimum values - Quadratic inequations.

g) Theory of Equations: The relation between the roots and coefficients in an equation - Solving the equations when two or more roots of it are

connected by certain relation - Equation with real coefficients, occurrence of complex roots in conjugate pairs and its consequences - Transformation of

equations - Reciprocal Equations. h) Permutations and Combinations: Fundamental Principle of counting – linear and circular permutations-

Permutations of ‘n’ dissimilar things taken ‘r’ at a time - Permutations when repetitions allowed - Circular permutations - Permutations with constraint

repetitions - Combinations-definitions and certain theorems. i) Binomial Theorem: Binomial theorem for positive integral index - Binomial theorem for

rational Index (without proof) - Approximations using Binomial theorem. j) Partial fractions: Partial fractions of f(x)/g(x) when g(x) contains non –repeated

linear factors - Partial fractions of f(x)/g(x) when g(x) contains repeated and/or non-repeated linear factors - Partial fractions of f(x)/g(x) when g(x)

contains irreducible factors.

2) TRIGONOMETRY: a) Trigonometric Ratios upto Transformations : Graphs and Periodicity of Trigonometric functions - Trigonometric ratios and

Compound angles - Trigonometric ratios of multiple and sub- multiple angles - Transformations - Sum and Product rules. b) Trigonometric Equations:

General Solution of Trigonometric Equations - Simple Trigonometric Equations – Solutions. c) Inverse Trigonometric Functions: To reduce a

Trigonometric Function into a bijection - Graphs of Inverse Trigonometric Functions - Properties of Inverse Trigonometric Functions. d) Hyperbolic

Functions: Definition of Hyperbolic Function – Graphs - Definition of Inverse Hyperbolic Functions – Graphs - Addition formulae of Hyperbolic Functions.

e) Properties of Triangles: Relation between sides and angles of a Triangle - Sine, Cosine, Tangent and Projection rules - Half angle formulae and

areas of a triangle – Incircle and Excircle of a Triangle.

3) VECTOR ALGEBRA: a) Addition of Vectors : Vectors as a triad of real numbers - Classification of vectors - Addition of vectors - Scalar multiplication

- Angle between two non zero vectors - Linear combination of vectors - Component of a vector in three dimensions - Vector equations of line and plane

including their Cartesian equivalent forms. b) Product of Vectors : Scalar Product - Geometrical Interpretations - orthogonal projections - Properties of

dot product - Expression of dot product in i, j, k system - Angle between two vectors - Geometrical Vector methods - Vector equations of plane in normal

form - Angle between two planes - Vector product of two vectors and properties - Vector product in i, j, k system - Vector Areas - Scalar Triple Product -

Vector equations of plane in different forms, skew lines, shortest distance and their Cartesian equivalents. Plane through the line of intersection of two

planes, condition for coplanarity of two lines, perpendicular distance of a

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