EAMCET Jumbo Test

Can you provide me Test/Exam previous year syllabus and question paper of Engineering of EAMCET - Engineering, Agriculture and Medical Common Entrance Test?

[Shaleen]

EAMCET Entrance exams for entry into first year of the various Undergraduate Professional (UG) courses offered in the University & Private unaided and affiliated Professional colleges in the State of AP.

EAMCET Engineering Syllabus

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 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) where both f(x) and g(x) are polynomials and when g(x) contains repeated and/or non repeated linear factors - Partial fractions of f(x)/g(x) when g(x) contains irreducible factors.