TS EAMCET Engineering Syllabus 2015 is provided here. Telangana EAMCET 2015 Engineering Syllabus detailed below.
Telangana State is already released the Detailed Notification for conduct of the TS EAMCET 2015 across the (10) Districts of Telangana State through JNTU Hyderabad. The Syllabus for Telangana EAMCET 2015 Engineering, Agriculture and Medical Streams also provided online for download. We are here providing the details below here at this website for you.
In accordance to G.O.Ms.No: 16 Edn., (EC) Dept., Dt: 25th Feb’ 04, EAMCET Committee has specified the syllabus of EAMCET-2015 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 2013-2015 (2nd year) and is designed at the level of Intermediate Course and equivalent to (10+2) scheme of Examination conducted by Board of Intermediate Education, AP.
The syllabus is designed to indicate the scope of subjects included for EAMCET-2015. The topics mentioned therein are not to be regarded as exhaustive. Questions may be asked in EAMCET-2015 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 desire to appear for EAMCET-2015.
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| TS EAMCET 2015 Syllabus for Engineering |
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 permutationsPermutations of ‘n’ dissimilar things taken ‘r’ at a time - Permutations when repetitions allowed - Circular permutations - Permutations with constraint repetitions - Combinations-definitions, certain theorems and their applications. 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.
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