As you asking for the EAMCET Examination syllabus of the Mathematic subject let me tell you that Engineering, Agriculture and Medical Common Entrance Test (EAMCET) is conducted by Jawaharlal Nehru Technological University Kakinada on behalf of APSCHE. This examination is the prerequisite for admission into various professional courses offered in University/ Private Colleges in the state of Andhra Pradesh.

As you asking for the syllabus of the EAMCET Mathematics the Syllabus is as follow:

ALGEBRA

Functions
Mathematical Induction

ALGEBRA

Quadratic Equations, Expressions
Theory of Equations
Matrices, Determinants & System of Equations
Binomial Theorem
Permutations & Combinations
Partial Fractions
Exponential & Logarithmic Functions

VECTOR ALGEBRA

Addition of Vectors
Scalar (Dot) Product of Two Vectors
Vector Product of Two Vectors
Triple Product and Product of Four Vectors

CO-ORDINATE GEOMETRY

Circles
System of Circles
Parabola
Ellipse
Hyperbola
Polar Co-ordinates

TRIGONOMETRY

Trigonometric Functions
Compound Angles
Multiple and Sub Multiple Angles
Transformations
Periodicity, Variation and Graphs
Trigonometric Equations
Inverse Trigonometric Functions
Hyperbolic Functions
Properties of Triangles
Heights and Distances
Complex Numbers
De Moivere's Theorem and Trigonometric Expansions

CALCULUS

Indefinite Integration
Successive Differentiation
Definite Integration
Areas, Numerical Integration
Differential Equation

CO-ORDINATE GEOMETRY

Co-ordinate System
Locus
Change of Axes
Straight Lines
Pair of Straight Lines
Three-dimensional Geometry
Direction Ratios and Direction Cosines
Planes
PROBABILITY

Addition Theorem, Multiplication Theorem Applications
Random, Binomial & Poisson Distributions

CALCULUS

Limits
Continuity
Derivatives
Approximations and Small Errors
Rate of Change
Tangent and Normal
Maxima and Minima
Partial Differentiation