EAMCET Syllabus MPC

Can you provide me the latest syllabus of AP EAMCET or Andhra Pradesh State Engineering, Agriculture and Medical Common Entrance Test of MPC (Physics, Chemistry and Mathematics) as I need it for preparation?

[Kiran Chandar]

The latest syllabus of AP EAMCET or Andhra Pradesh State Engineering, Agriculture and Medical Common Entrance Test of MPC (Physics, Chemistry and Mathematics) as you need it for preparation is as follows:

AP EAMCET – 2015 – ENGINEERING SYLLABUS 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 EquationsRank 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 - n th roots of unityGeometrical 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) where both f(x) and g(x) are polynomials and when g(x) contains repeated and/or nonrepeated linear factors - Partial fractions of f(x)/g(x) when g(x) contains irreducible factors.

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.



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 point from a plane, angle between line and a plane. Cartesian equivalents of all these results - Vector
Triple Product – Results.
4) PROBABILITY:
a) Measures of Dispersion - Range - Mean deviation - Variance and standard deviation of
ungrouped/grouped data - Coefficient of variation and analysis of frequency distribution with equal means
but different variances.
b) Probability : Random experiments and events - Classical definition of probability, Axiomatic approach
and addition theorem of probability - Independent and dependent events - conditional probability-
multiplication theorem and Bayee’s theorem.
c) Random Variables and Probability Distributions: Random Variables - Theoretical discrete distributions
– Binomial and Poisson Distributions.
5) COORDINATE GEOMETRY:
a) Locus : Definition of locus – Illustrations - To find equations of locus - Problems connected to it.
b) Transformation of Axes : Transformation of axes - Rules, Derivations and Illustrations - Rotation of
axes - Derivations – Illustrations.
c) The Straight Line : Revision of fundamental results - Straight line - Normal form – Illustrations -
Straight line - Symmetric form - Straight line - Reduction into various forms - Intersection of two Straight
Lines - Family of straight lines - Concurrent lines - Condition for Concurrent lines - Angle between two
lines - Length of perpendicular from a point to a Line - Distance between two parallel lines - Concurrent
lines - properties related to a triangle.
d) Pair of Straight lines: Equations of pair of lines passing through origin - angle between a pair of lines -
Condition for perpendicular and coincident lines, bisectors of angles - Pair of bisectors of angles - Pair of
lines - second degree general equation - Conditions for parallel lines - distance between them, Point of
intersection of pair of lines - Homogenizing a second degree equation with a first degree equation in x and
y.
e) Circle : Equation of circle -standard form-centre and radius of a circle with a given line segment as
diameter & equation of circle through three non collinear points - parametric equations of a circle - Position
of a point in the plane of a circle – power of a point-definition of tangent-length of tangent - Position of a
straight line in the plane of a circle-conditions for a line to be tangent – chord joining two points on a circle
– equation of the tangent at a point on the circle- point of contact-equation of normal - Chord of contact -
pole and polar-conjugate points and conjugate lines - equation of chord with given middle point - Relative
position of two circles- circles touching each other externally, internally- common tangents –centers of
similitude- equation of pair of tangents from an external point.
f) System of circles: Angle between two intersecting circles - Radical axis of two circles- properties-
Common chord and common tangent of two circles – radical centre - Intersection of a line and a Circle.
g) Parabola: Conic sections –Parabola- equation of parabola in standard form-different forms of parabola-
parametric equations - Equations of tangent and normal at a point on the parabola ( Cartesian and
parametric) - conditions for straight line to be a tangent