Organisation : Jawaharlal Nehru Technological University Anantapur (JNTUA)
Exam Name : JNTUA AP EAPCET Exam – 2022
Announcement : Syllabus For JNTUA AP EAPCET Exam
Website : https://cets.apsche.ap.gov.in/EAPCET/Eapcet/EAPCET_HomePage.aspx
What is JNTUA AP EAPCET Exam?
Jawaharlal Nehru Technological University Anantapur (JNTUA) is one of the prestigious Technological Universities in the country and was formed in 2008. The jurisdiction of JNTUA spreads over five Districts of Andhra Pradesh namely Anantapur, Kurnool, SPSR Nellore, Chittoor and YSR Kadapa. Under the fold of JNTUA several Engineering Colleges, Pharmacy Colleges, Standalone Colleges and Integrated Campuses are running various B.Tech., M.Tech., B.Pharm., Pharm.D., MBA and MCA courses. JNTUA has carved a niche for itself as the Best Technological University in this region.
Related / Similar Syllabus : Allahabad University Admission Examination Syllabus 2022-23
Syllabus For JNTUA AP EAPCET Exam
The Syllabus For JNTUA AP EAPCET Exam are given below,
Subject – Mathematics
Algebra:
a) Functions: Types of functions – Definitions – Real valued functions (Domain and Range).
b) Matrices: Types of matrices – Scalar multiple of a matrix and multiplication of matrices
– Transpose of a matrix – Determinants (excluding properties of determinants) – Adjoint
and Inverse of a matrix – Rank of a matrix – solution of simultaneous linear equations
(Excluding Gauss Jordan Method).
c) Complex Numbers: Complex number as an ordered pair of real numbers- fundamental
operations – Representation of complex numbers in the form a+ib (excluding Square root
of Complex numbers and related problems) – Modulus and amplitude of complex
numbers –Illustrations – Geometrical and Polar Representation of complex numbers in
Argand plane-Argand diagram.
d) De Moivre’s Theorem: De Moivre’s theorem- Integral and Rational indices – nth roots of
unity- Geometrical Interpretations –Illustrations.
e) Quadratic Expressions: Quadratic expressions, equations in one variable – Sign of
quadratic expressions – Change in signs – Maximum and minimum values.
f) 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.
g) 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, certain theorems. (Excluding derivation
of Formula npr and ncr ).
h) 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 (excluding conversion of f(x)/g(x) in power series of x).
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) Hyperbolic Functions: Definition of Hyperbolic Function – Graphs – Definition of
Inverse Hyperbolic Functions – Graphs – Addition formulae of Hyperbolic Functions.
c) 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–In-circle and
Ex-circle of a Triangle (excluding problems related to heights and distances).
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
Coordinate Geometry:
a) Locus: Definition of locus –Illustrations-To find equations of locus-Problems connected to it.
b) 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.
c) 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 (excluding proofs of all the theorems only) – 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.
d) Circle : Equation of circle -standard form-centre and radius equation 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.
e) 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.
f) Parabola: Conic sections –Parabola- equation of parabola in standard form-different
forms of parabola- parametric equations.
g) Ellipse: Equation of ellipse in standard form- Parametric equations
Subject – Physics
1. Physical World:
What is physics, Scope and excitement of physics. Physics, technology and
society Fundamental forces in nature. Nature of physical laws
2. Units And Measurements:
Introduction,The international system of units, Measurement of Length, Measurement of Large Distances, Estimation of Very Small Distances, Size of a Molecule,
Range of Lengths, Measurement of Mass, Range of Masses, Measurement of time, Accuracy, precision of instruments and errors in measurement, Systematic errors, random errors, least count error, Absolute Error, Relative Error and Percentage Error, Combination of Errors, Significant figures, Rules for Arithmetic Operations with Significant Figures, Rounding off the Uncertain Digits, Rules for Determining the Uncertainty in the Results of Arithmetic Calculations, Dimensions of Physical Quantities, Dimensional Formulae and dimensional equations, Dimensional Analysis and its Applications, Checking the Dimensional Consistency of Equations, Deducing Relation among the Physical Quantities.
3. Motion In A Straight Line:
Introduction, Position, path length and displacement, average velocity and average speed, instantaneous velocity and speed, acceleration, kinematic equations for uniformly accelerated motion, relative velocity.
4. Motion In A Plane:
Introduction, Scalars and vectors, position and displacement vectors,
equality of vectors, multiplication of vectors by real numbers, addition and subtraction of vectors – graphical method, resolution of vectors, vector addition – analytical method, motion in a plane, position vector and displacement, velocity, acceleration, motion in a plane with constant acceleration, relative velocity in two dimensions, projectile motion, equation of path of a projectile, time of maximum height, maximum height of a projectile, horizontal range of projectile, uniform circular motion.
5. Laws Of Motion:
Introduction, Aristotle’s fallacy, Equilibrium of a particle, Common forces in
mechanics, friction, types of friction, static, kinetic and rolling frictions, Circular motion, Motion of a car on a level road, Motion of a car on a banked road, solving problems in mechanics.
6. Work, Energy And Power:
Introduction, The Scalar Product, Notions of work and kinetic energy, The work-energy theorem, Work, Kinetic energy, Work done by a variable force
7. System Of Particles And Rotational Motion:
Introduction, Rigid body motion, Centre of mass, Centre of Gravity, Motion of centre of mass, Linear momentum of a system of particles,
Vector product of two vectors, Angular velocity and its relation with linear velocity, Angular
acceleration, Kinematics of rotational motion about a fixed axis, Moment of force (Torque),
Subject – Chemistry
1: Atomic Structure:
Developments to the Bohr’s model of atom; Wave nature of
electromagnetic radiation; Particle nature of electromagnetic radiation- Planck’s quantum
theory; Bohr’s model for Hydrogen atom; Explanation of line spectrum of hydrogen;
Limitations of Bohr’s model; Quantum mechanical considerations of sub atomic particles; Dual
behaviour of matter; Heisenberg’s uncertainty principle; Quantum mechanical model of an
atom. Important features of Quantum mechanical model of atom; Orbitals and quantum
numbers; Shapes of atomic orbitals; Energies of orbitals; Filling of orbitals in atoms. Aufbau
Principle, Pauli’s exclusion Principle and Hund’s rule of maximum multiplicity; Electronic
configurations of atoms; Stability of half-filled and completely filled orbitals.
2: Classification Of Elements And Periodicity In Properties:
Modern periodic law and present form of the periodic table; Nomenclature of elements with atomic number greater than 100; Electronic configuration of elements and the periodic table; Electronic configuration and types of elements s,p,d. and f blocks; Trends in physical properties:(a) Atomic radius, (b) Ionic radius (c) Variation of size in inner transition elements, (d) Ionization enthalpy,(e) Electron gain enthalpy, (f) Electro negativity; Periodic trends in chemical
properties: (a) Valence or Oxidation states, (b) Anomalous properties of second period elements – diagonal relationship; Periodic trends and chemical reactivity.
3: Chemical Bonding And Molecular Structure:
Kossel – Lewis approach to chemical bonding, Octet rule, Lewis representation of simple molecules, formal charges, limitations of octet rule; Ionic or electrovalent bond – Factors favourable for the formation of ionic compounds- Crystal structure of sodium chloride, General properties of ionic compounds; Bond Parameters – bond length, bond angle,
and bond enthalpy, bond order, resonance-Polarity of bonds dipole moment-Fajan rules; Valence Shell Electron Pair Repulsion (VSEPR) theory; Predicting the geometry of simple molecules; Valence bond theory-Orbital overlap concept-Directional properties of bonds-overlapping of atomic orbitals-types of overlapping and nature of covalent bonds-strength of sigma and pi bonds-Factors favouring the formation of covalent bonds; Hybridisation- different types of hybridization involving s, p and d orbitals- shapes of simple covalent molecules;
4: States Of Matter: Gases And Liquids:
Intermolecular forces; Thermal Energy; Intermolecular forces Vs Thermal interactions; The Gaseous State; The Gas Laws; Ideal gas equation;
Graham’s law of diffusion – Dalton’s Law of partial pressures; Kinetic molecular theory of gases;
Kinetic gas equation of an ideal gas (No derivation) deduction of gas laws from Kinetic gas
Syllabus : http://www.syllabus.gen.in/uploads/pdf2022/2761-syllabus.pdf
5: Stoichiometry:
aws of Chemical Combinations – Law of Conservation of Mass, Law of
Definite Proportions, Law of Multiple Proportions, Atomic and molecular masses- mole concept
and molar mass. Concept of equivalent weight; Percentage composition of compounds and
calculations of empirical and molecular formulae of compounds; Stoichiometry and
stoichiometric calculations-limiting reagent; Methods of Expressing concentrations of solutions-
mass percent, mole fraction, molarity, molality and normality; Redox reactions-classical idea of
redox reactions, oxidation and reduction reactions-redox reactions in terms of electron transfer;
Oxidation number concept; Types of Redox reactions- combination, decomposition,
displacement and disproportional reactions; Balancing of redox reactions – oxidation number