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AMUEE 2015 Mathematics Syllabus

February 26th, 2015 No comments

AMUEE Mathematics Syllabus 2015 – Aligarh Muslim University Entrance Exam Mathematics Syllabus 2015

AMUEE 2015 Mathematics Syllabus AMUEE 2015 Mathematics Syllabus has been Published. All Students who are aspiring for Admission to B.Tech Engineering Programs in Aligarh Muslim University through AMUEE 2015 B.Tech Entrance Test and Searching for AMUEE 2015 Entrance Test Mathematics Syllabus are hereby informed that the AMU admission Authorities has Published AMUEE 2015 Syllabus. Students who are searching for AMUEE 2015 Mathematics Syllabus can check Aligarh Muslim University Entrance Test Mathematics Syllabus.

AMUEE 2015 Entrance Test Syllabus :

Clikc here to check : AMUEE 2015 B.Tech Syllabus

AMUEE 2015 Mathematics Syllabus :

UNIT – I : SETS AND FUNCTIONS

1. SETS

Sets and their representations. Empty set. Finite & Infinite sets. Equal sets. Subsets. Subsets of the set of real numbers especially Intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set.

2. RELATIONS & FUNCTIONS

Orders pairs, Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, codomain and range of a relation.
Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational modulus, signum and greatest integer functions with their graphs, Sum, difference, product and quotients of functions.

3. TRIGNOMETRIC FUCNTIONS :

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2 x + cos2 x = 1 for all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x + y) and cos (x+y) in terms of sin x, sin y, cos x and cos y. Deducing the identities like the following :

Identities related to sin 2 x, cos 2 x, tan 2 x, sin 3 x, cos 3 x and tan 3 x. General solution of trigonometric equiations of the type sin q = sin a

UNIT II : ALGEBRA

1. PRINCIPLE OF MATHEMATICAL INDUCTION

Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

2. COMPLEX NUMBERS AND QUADRATIC EQUATIONS

Need for complex numbers, especially -1 , to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, Solution of quadratic equations in the complex number system.

3. LINEAR INEQUALITIES :

Linear inequalities, Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system mof linear inequalities in two variables graphically.

4. PERMUTATIONS AND COMBINATIONS

Fundamental principle of counting. Factorial n (n1) Permutations and combinations, derivation of formulae and their connections, simple applications.

5. BINOMIAL THEOREM :

History, statement and proof of the binomial theorem for positive integral indices. Pascals triangle, General and middle term in binomial expansion, simple applications.

6. SEQUENCE AND SERIES

Sequence and Series, Arithmetic progression (A > P), arithmetic mean (A.M.) Geometric progression (G.P., General term of a G.P., sum of n terms of a G.P., geometric mean (G > M), relation between A.M. and G.M. Sum to a terms of the

UNIT III : COORDINATE GEOMETRY :

1. STRAIGHT LINES

Brief recall of 2 D from earlier classes. Slope of a line and angel between two lines. Various forms of eqwuations of a line : parallel to axes, point-slope form, slope intercept form, two point form, intercepts form and normal form. General equation of a line. Distance of a point from a line.

2. CONIC SECTION

Sections of a cone : circle, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of conoic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

3. INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

Coordinate axes and coordinate planes in three dimensions. Coordinatoes of a point. Distance between two points and section formula.

UNIT IV : CALCULUS

1. LIMITS AND DERIVATIVES :

Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

UNIT V : MATHEMATICAL REASONING

1. MATHEMATICAL REASONING

Mathematically acceptable statements. Connecting words / phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, implies”, and/ or”, implied by, “and”, “or”, “three exists” and their use through variety of examples related to real life and mathematics. Validating the statements involving the connecting words – difference between contradiction,
converse and contrapositive.

2. PROBABILITY :

Random experiments : Outcomes, sample, spaces (set representation). Events : occurrence of events, `not, `and and `or events, exhaustive events, mutually exclusive events Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, Probability of `not, `and and `or events.

UNIT – I RELATIONS AND FUNCTIONS

1. Relations and Functions :

Types of relations : reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.

2. Inverse Trigonometric Functions :

Defintion, range, domain, principal value branches, Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions

UNIT II : ALGEBRA

1. Matrices :

Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and kew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of edition, multiplication and scalar multiplication. Non commutativity of multiplication of matrices and existence of non zero matrices whose product is the zero amt4rix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and
proof of the uniqueness of inverse, if it exists. (Here all matrices will have real entries).

2. Determinants :

Determinant of a square matrix (upto 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. A joint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

UNIT III : CALCULUS

1. Continuity and Differentiability :

Continuity and Differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit function. Concept of exponential and logarithmic functions and their derivative. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolles and Lagranges Mean Value Theorems (without proof) and their geometric interoperations.

2. Applications of Derivatives :

Applications of derivatives : rate of change, increasing / decreasing functions, tangets and normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool).. Simple problems (that illustrate basic principles and understanding of the subject as well as real life situations).

3. Integrals :

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type :

To be evaluated.

Define integrals as a limit of sum, Fundamental Theorem of calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

4. Applications of the Integrals :

Applications in findings the area under simple curves, especially lines, areas of circles / parabolas / ellipse (in standard form only), area between the two above said curves (the region should be clearly identifiable).

5. Differential Equations :

Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equations of the type :

UNIT IV : VECTORS AND THREE DIMENSIONAL GEOMETRY :

1. Vectors :

Vectors and scales, magnitude and direction of a vector. Direction cosines / ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.

2. Three – dimensional Geometry :

Direction cosines / ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (1) two lines, (ii) two planes, (iii) a line and plane. Distance of a point from a plane.

UNIT V : LINEAR PROGRAMMING

1. Linear programming

Introduction, definition of related terminology such as constraints, objective function, optimization, different types of linear programming (LP) problems, mathematical formulation of LP, problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optional feasible solutions (upto three non trivial constraints).

UNIT VI : PROBABILITY

1. Probability :

Multiplication theorem on probability, Conditional probability, independent events, total probability, Bayes theorem, Random Variable and its probability distribution, mean and variance of haphazard variable. Repeated independent (Bernoulli) trials
and Binomial distribution.

Click here to check : AMUEE 2015 Mathematics Syllabus

For More Updates on : AMUEE 2015 Application Forms, Entrance Test and Counseling

AMUEE 2015 Chemistry Syllabus

February 26th, 2015 No comments

AMUEE Chemistry Syllabus 2015 – Aligarh Muslim University Entrance Exam Chemistry Syllabus 2015

AMUEE 2015 Chemistry Syllabus AMUEE 2015 Chemistry Syllabus has been Published. All Students who are aspiring for Admission to B.Tech Engineering Programs in Aligarh Muslim University through AMUEE 2015 B.Tech Entrance Test and Searching for AMUEE 2015 Entrance Test Chemistry Syllabus are hereby informed that the AMU admission Authorities has Published AMUEE 2015 Syllabus. Students who are searching for AMUEE 2015 Chemistry Syllabus can check Aligarh Muslim University Entrance Test Chemistry Syllabus.

AMUEE 2015 Entrance Test Syllabus :

Clikc here to check : AMUEE 2015 B.Tech Syllabus

AMUEE 2015 Chemistry Syllabus :

1. Some Basic concepts of Chemistry, Structure of Atom, Classification of elements and periodicity in properties, Chemical bonding and molecular structure.

2. States of matter : Gases and liquids, Solid State, Solutions.

3. Thermodynamics.

4. Equilibrium, Redox reactions, Electrochemistry.

5. Chemical Kinetics, Surface Chemistry.

6. Hydrogen, General principles and process of isolation of elements, Studies of s & p-d and f – block elements, Coordination compounds.

7. Organic Chemistry : Some basic principles and Techniques, Hydrocarbons. Haloalkanes and Haloarenes, alcohols, phenols and Ethers.

8. Aldehydes, Ketones and Carboxylic acids.

9. Organic compounds containing nitrogen.

10. Biomolecules, Polymers, Chemistry in everyday life.

11. Environmental Chemistry.

Note : Prescribed Book : Text Books of Chemistry Class XI and Class XII NCERT Publication, latest edition

Click here to check : AMUEE 2015 Chemistry Syllabus

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AMUEE 2015 Physics Syllabus

February 26th, 2015 No comments

AMUEE Physics Syllabus 2015 – Aligarh Muslim University Entrance Exam Physics Syllabus 2015

AMUEE 2015 Syllabus AMUEE 2015 Physics Syllabus has been Published. All Students who are aspiring for Admission to B.Tech Engineering Programs in Aligarh Muslim University through AMUEE 2015 B.Tech Entrance Test and Searching for AMUEE 2015 Entrance Test Physics Syllabus are hereby informed that the AMU admission Authorities has Published AMUEE 2015 Syllabus. Students who are searching for AMUEE 2015 Physics Syllabus can check Aligarh Muslim University Entrance Test Physics Syllabus.

AMUEE 2015 Entrance Test Syllabus :

Clikc here to check : AMUEE 2015 B.Tech Syllabus

AMUEE 2015 Physics Syllabus :

Physical World and Measurement

Physics-scope and excitement, nature of physical laws; Physics, technology and society. Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and
precision of measuring instruments, errors in measurement; significant figures. Dimensions of physical quantities, dimensional analysis and its applications.

Kinematics

Frame of reference. Motion in a straight line: Position-time graph, speed and velocity. Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity-time, position-time graphs, relations for uniformly accelerated motion (graphical treatment). Elementary concepts of differentiation and integration for describing motion. Scalar and vector quantities: Position and displacement vectors, general vectors and notation, equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity. Unit vector; Resolution of a vector in a plane-rectangular components. Motion in a plane. Cases of uniform velocity and uniform acceleration projectile motion. Uniform circular motion.

Laws of Motion

Intuitive concepts of force. Inertia, Newtons first law of motion; momentum and Newtons second law of motion; impulse; Newtons third law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent
forces. Static and kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on level circular road, vehicle on banked road).

Work, Energy and Power

Scalar product of vectors. Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power. Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic
and potential energies); non-conservative forces: elastic and inelastic collisions in one and two dimensions.

Motion of System of Particles and Rigid Body

Centre of mass of a two-particle system, momentum conversation and centre of mass motion. Centre of mass of a rigid body; centre of mass of uniform rod. Vector product of vectors; moment of a force, torque, angular momentum, conservation of angular momentum with some examples. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion. Comparison of linear and rotational motions; moment of inertia, radius of gyration. Values of moments of inertia for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.

Gravitation

Keplars laws of planetary motion. The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Gravitational potential energy; gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary
satellites.

Properties of Bulk Matter

Elastic behaviour, Stress-strain relationship, Hookes law, Youngs modulus, bulk modulus, shear, modulus of rigidity. Pressure due to a fluid column; Pascals law and its applications (hydraulic lift and hydraulic brakes). Effect of gravity on fluid pressure. Viscosity, Stokes law, terminal velocity, Reynolds number, streamline and turbulent flow. Bernoullis theorem and its applications. Surface energy and surface tension, angle of contact, application of surface tension ideas to drops, bubbles and capillary rise. Heat, temperature, thermal expansion; specific heat-calorimetry; change of state-latent heat. Heat transfer-conduction, convection and radiation, thermal conductivity, Newtons law of cooling.

Thermodynamics

Thermal equilibrium and definition of temperature (zeroth law of thermodynamics). Heat, work and internal energy. First law of thermodynamics. Second law of thermodynamics: reversible and irreversible processes. Heat engines and refrigerators.

Behaviour of Perfect Gas and Kinetic Theory

Equation of state of perfect gas, work done on compressing a gas. Kinetic theory of gases-assumptions, concept of pressure. Kinetic energy and temperature; rms speed of gas molecules; degrees of freedom, law of equipartition of energy (statement only) and application to specific heats of gases; concept of mean free path, Avogadros number.

Oscillations and Waves

Periodic motion-period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M) and its equation; oscillations of a springrestoring force and force constant; energy in S.H.M.-kinetic and potential energies; simple pendulum-derivation of expression for its time period; free, forced and damped oscillations (qualitative ideas only), resonance. Wave motion. Longitudinal and transverse waves, speed of wave motion. reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.

Electrostatics

Electric charges, Conservation of charge, Coulombs low-force between two point charges forces between multiple charges, superposition principle and continuous charge distribution.

Electric field, electric field due to a point charge, electric field lines; electric dipole electric field due to a dipole torque on a dipole in uniform electric field.

Electric flux, statement of gausss theorem and its applications to find field due to infinitely long straight wire uniformly charges infinite plane sheet and uniformly charged tin spherical shell (field inside and outside).

Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charge; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field.

Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarization, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor. Van de Graaff generator.

Current Electricity

Electric current flow of electric chargers in a metallic conductor drift velocity, mobility and their relation with electric current; Ohms electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and
conductivity. Carbon resistors colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance.

Internal resistance of a cell, potential difference and emf of a cell combination of cells in series and in parallel. Kirchhoffs laws and simple applications. Wheatstone bridge and metre bridge.

Potentiometer – principle and its applications to measure potential difference and for comparing emf of two cells; measurement of internal resistance of a cell.

Magnetic Effects of Current and Magnetism

Concept of magnetic field, Oersteds experiment. Biot-Savart law and its application to current carrying circular loop. Amperes law and its applications to infinitely long straight wire, straight and toroidal solenoids.

Force on a moving charge in uniform magnetic and electric fields. Cyclotron. Force on a current – carrying conductor in a uniform magnetic field. Force between two parallel current – carrying conductors – definition of ampere. Torque experienced by a current loop in uniform magnetic field; moving coil galvanometer – its current sensitivity and conversion to ammeter and voltmeter. Current loop as a magnetic dipole and its magnetic dipole moment. Magnetic dipole, moment of a revolving electron, magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid magnetic field line; Earths magnetic field and magnetic elements para – dia – and ferro – magnetic Displacement relation for a progressive wave. Principle of superposition of waves substances, with examples. Electromagnets and factors of affecting their strengths.
Permanent magnets.

Electromagnetic Induction and Alternating Currents

Electromagnetic Induction; Faradays law. Induced emf and current; Lenzs law, Eddy current self and mutual inductance.
Need for displacement current. Alternating currents, peak and rms value of alternating; current/voltage, reactance and impedance;

LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in ac circuits wattles current.
AC generator and transformer.

Electromagnetic Waves

Displacement current, Electromagnetic wave and their characteristics (qualitative ideas only) Transverse nature of electromagnetic waves.

Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, xrays, gamma rays) including elementary facts about their uses.

Optics

Reflection of light spherical mirrors, mirror formula refraction of light, total internal reflection and its applications, optical fibres refraction at spherical surfaces, lenses thin lens formula lens makers Formula. Magnification power of a lens, combination
of thin lenses in contract. Refraction and dispersion of light through a prism.

Scattering of light – blue colour of the sky and reddish appearance of the sun at sunrise and sunset.

Optical instruments: Human eye, image formation and accommodation, correct of eye defects (myopia, hypermetropia, presbyopia and astigmatism) using lenses. Microscopes and astronomical Telescopes (reflecting and refraction) and their
magnifying powers.

Waves optics: Wave front and Huygens principle reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygens principle. Interference, Youngs double slit experiment and expression for fringe width coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes Polarization, plane polarized light; Brewsters law. Uses of plane polarized light and polaroids.

Dual Nature of Matter and Radiation

Dual nature of Radiation Photoelectric, Hertz and Lenards observations; Einsteins Photoelectric equation – particle nature of light. Matter waves-wave nature of particles, de Broglie relation. Davission – Germer experiment

Atoms & Nuclei :

Alpha-particle scattering experiment, Rutherfords model of atom; Bohr model, energy levels hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivity – alpha, beta and gamma particles/rays and their properties; radioactive decay law Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission, nuclear reactor, nuclear fusion.

Electronic Devices :

Semiconductors; semiconductor diode – I – V. characteristics in forward and reverse bias, diode as a rectifier; I – V characteristics of LED, photodiode, solar cell and Zener diode: Zener diode as a voltage regulator. Junction transistor, transistor action characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch.

Communication Systems :

Elements of a communication system (block diagram only); bandwidth of signals (speech, TV and digital data); bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation. Need
for modulation. Production and detection of an amplitude-modulate wave.

lick here to check : AMUEE 2015 Physics Syllabus

For More Updates on : AMUEE 2015 Application Forms, Entrance Test and Counseling

AMUEE 2015 Syllabus

February 26th, 2015 No comments

AMUEE Entrance Test Syllabus 2015 – Aligarh Muslim University Entrance Exam Syllabus 2015

AMUEE 2015 Syllabus All Students who are aspiring for Admission to B.Tech Engineering Programs in Aligarh Muslim University and Other Under Graduate and Post Graduate Programs in Aligarh Muslim University through AMUEE 2015 Entrance Test and Searching for AMUEE 2015 Entrance Test Syllabus are hereby informed that the AMU admission Authorities has Published AMUEE 2015 Syllabus. Interested Students can check Aligarh Muslim University Entrance Test Syllabus.

AMUEE 2015 Syllabus for all Programs :

AMUEE 2015 Syllabus for B.Tech Programs :

AMUEE 2015 Syllabus for B.Tech Entrance Test includes AMUEE 2015 Physics Syllabus, AMUEE 2015 Chemistry Syllabus and AMUEE 2015 Mathematics Syllabus.

AMUEE 2015 Syllabus for Physics   BITSAT 2015 Online Test Center Allotment

AMUEE 2015 Syllabus for Chemistry  BITSAT 2015 Online Test Center Allotment

AMUEE 2015 Syllabus for Mathematics  BITSAT 2015 Online Test Center Allotment

AMUEE 2015 Syllabus Other than B.Tech Programs :

AMUEE 2015 Syllabus includes AMUEE 2015 Syllabus for Arts, AMUEE 2015 Syllabus for Commerce , AMUEE 2015 Syllabus for Law, AMUEE 2015 Syllabus for Medical Programs and AMUEE 2015 Syllabus for Other Programs.

Click here to check : AMUEE 2015 Syllabus for All Programs  BITSAT 2015 Online Test Center Allotment

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BPEE CET 2015 Mathematics Syllabus

February 20th, 2015 No comments

J&K BPEE CET 2015 Mathematics Syllabus – Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Mathematics Syllabus 2015

BPEE CET 2015 Biology Syllabus J&K BPEE CET 2015 Entrance Test Syllabus has been Published, All Student who are aspiring for Admission to B.E / B.Tech Engineering / MBBS Medical Programs in Engineering and Medical Colleges in Jammu and Kashmir through BPEE CET and Searching for BPEE CET 2015 Mathematics Syllabus are hereby informed that the Board of Professional Entrance Exam has Published BPEE CET 2015 Mathematics Syllabus. Interested Students can check BPEE CET 2015 Mathematics Syllabus.

Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Mathematics Syllabus includes J & K BPEE CET 2015 Mathematics Syllabus Topic wise, J&K BPEE CET 2015 Mathematics Syllabus Sub Topi wise. Students are requested to cover all topics in order to crack J&K BPEE CET 2015 Mathematics Entrance Test.

J & K BPEE CET 2015 Syllabus :

Click her to check : J & K BPEE CET 2015 Syllabus

J & K BPEE CET 2015 Mathematics Syllabus :

UNIT 1: SETS, RELATIONS AND FUNCTIONS :

Sets and their representation, finite and infinite sets, empty set subsets, subset of real numbers especially intervals, power set, universal set. Venn diagram, union and intersection of sets. Difference of sets, Compliment of a set. Ordered pairs, Cartesian product of sets, number of elements in the Cartesian product of two finite sets.

Relations, Domain, co- domain and range of relation, types of relations, reflexive, symmetric, transitive and equivalence relations.

Functions as special kind of relations from one set to another, domain, co-domain and range of a function. One to one, onto functions. Real valued functions of the real variable; constant, identity, polynomial, rational, modulus, signum and the greatest integer functions with their graphs. Sum, difference, product and quotients of functions. Composition of functions, inverse of a function, binary operations.

UNIT 2: COMPLEX NUMBER; LINEAR INEQUATION; LINEAR PROGRAMMING :

Complex number: Conjugate of a complex number, modulus and amplitude (argument) of a complex number, Argands plane
and polar representation of complex numbers, algebraic properties of complex numbers. Fundamental theorem of algebra, solution of Quadratic equation in the complex number system. Square root of a complex number.

Linear inequation: Algebraic solution of linear inequalities in one variable and two variables.

Linear programming: Introduction , definition of related terminology such as constraints, objective function, optimization, different type of linear programming problem (L.P), mathematical formulation of L.P problem, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions.

UNIT 3: SEQUENCE AND SERIES, PERMUTATION AND COMBINATION & BINOMIAL THEOREM :

Sequence and series: Arithmetic progression (A.P), arithmetic mean (A.M), nth term, sum to n-terms of an A.P, Geometric progression (G.P) , Geometric Mean (G.M), nth term, sum to n-terms and sum to infinity of a G.P. Relation between A.M and G.M. Sum to n terms of

Permutation and combination: Fundamental principle of counting, factorial n, permutations P(n,r) and combinations C(n,r),
simple applications.

Binomial Theorem:. Binomial theorem for positive integral power. general and middle terms in the Binomial expansion. Pascals triangle and simple applications.

UNIT 4: TRIGONOMETRIC AND INVERSE TRIGONOMETRY FUNCTIONS :

Positive and negative angles, measuring angles in radians and in degrees, Conversion from one measure to another. Definition
of trigonometric functions with the help of unit circle. Periodicity of Trigonometric functions. Basic Trigonometric identities
sin2x+cos2x=1 for all Sign of x etc. Trigonometric functions and their graphs. Expressions for sin(x y),cos(x y), tan(x y),cot(x  y) , sum and product formulae. Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x, and tan3x. General and principal solutions of trigonometric equations of the type Sin x= Sin a, Cos x= Cos a , Tan x= Tan a.

Inverse trigonometric functions, range, domain, principal value branches. Graphs of inverse trigonometric functions, elementary properties of inverse trigonometric functions

UNIT 5: MATRICES AND DETERMINANTS :

Matrices, concepts, notation, order, equality, types of matrices, Zero matrix, transpose of matrix, Symmetric and skew symmetric matrices. Addition, multiplication, scaler multiplication of matrices, simple properties of addition, multiplication and scaler multiplication of matrices. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (order 2×2). Concept of elementary row and column operation, Invertible matrices and uniqueness of inverse, if it exists. (Matrices with real entries).

Determinants of square matrix (upto 3×3 matrices) properties of determinants, minors, cofactors and applications of determinants in finding area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of
solutions of system of linear equations by examples, solving system of linear equations in two or three variables using inverse
of a matrix.

UNIT 6: LIMIT, CONTINUITY AND DIFFERENTIATION :

Concept of limit of a function. Theorems on Limits, Evaluation of limits using standard results

Continuity of a function at a point. Continuity of Sum, product and quotient of functions. Derivative: definition of a
derivative of a function, geometrical interpretation of the derivative.

  •  Derivative of sum, difference, product and quotient of two or more functions.
  •  Derivative of algebraic and composite functions.
  •  Derivative of trigonometric and inverse trigonometric functions.
  •  Chain rule, derivative of implicit functions.
  •  Derivative of logarithmic and exponential functions.
  •  Logarithmic differentiation.
  • Derivative of functions expressed in parametric forms.
    Second ordered Derivatives
  • Rolles and Lagranges Mean Value Theorem and their geometrical interpretation and their simple applications

Application of Derivative: rate of change, increasing and decreasing functions, tangents and normals, approximation, maxima
and minima (first derivative and second derivative test). Simple problems

UNIT 7: INTEGRATION AND DIFFERENTIAL EQUATIONS :

Integration as inverse process of differentiation. Integration of variety of functions by Substitution, by parts, by partial
fractions. Simple integrals of the type:

Definite integrals as a Limit of a sum. Fundamental Theorem of calculus. Basic properties of definite integrals Evaluation of
definite integrals.

Application of integrals: Application in finding the area under simple curves, especially lines. Areas of circles, parabolas and  ellipses (in standard form) Area under the curve y= Sinx, y= Cosx, area between the above two curves. Differential Equations: Definition, order and degree of a differential equation. General and particular solutions of a differential equation. Formation of a differential equation whose general solution is given. Solution of differentiation equation by method of separation of variables. Solution of Homogeneous differential equation of first order and first degree. Solution of linear differential equation of the type:

UNIT 8: STRAIGHT LINES AND CONIC SECTIONS :

Distance between two points, section, slope of a line, angle between two lines, various forms of equations of lines, point-slope form, intercept form, two point form, and normal form. General equation of a line, distance of a point from a line. Conic Section: Sections of a cone, circles, parabola, ellipse, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of conic section. Standard equation of a circle, parabola, ellipse, and hyperbola and their simple properties.

UNIT 9: STATISTICS AND PROBABILITY :

STATISTICS Measure of dispersion, mean, deviation, variance and standard deviation of ungrouped/ grouped data. Analysis
of frequency distribution with equal means but different variances.

PROBABILITY : Random Experiment: outcome, sample spaces.

Events: Mutually exclusive and exhaustive events. Axiomatic (set theoretic) probability, probability of an event, probability of
―Not‖ and ―Or‖ events. Multiplication theorem on probability, conditional probability, independent events, total probability,
Bayes theorem, random variable and its probability, distribution, mean and variance of a random variable. Repeated
independent (Bernouli) trials and Binomial distribution.

UNIT 10: VECTORS AND THREE DIMENSIONAL GEOMETRY :

Vectors and scalars, magnitude and direction of a vector Direction Cosines and ratios of a vector. Types of vector, equal, zero,
unit, parallel and collinear vectors. Position vector of a point , negative of a vector, components of a vector, addition of vectors, Scalar multiplication, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors, Scalar triple product. Coordinate axes and Coordinate planes in three dimensions of a point, distance between two points and sectional formula. STRAIGHT LINES AND SPACE Direction cosines and direction ratios of a line joining two points. Cartesian and vector equation of a line ( in various forms), coplanar and skew-lines, shortest distance between two lines. PLANES Cartesian and vector equation of a plane( in various forms). Distance of a point from a plane. Angle between:
i. Two lines
ii. Two planes.
iii. A line and a plane

Source : J & K BPEE CET 2015 Mathematics Syllabus

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BPEE CET 2015 Biology Syllabus

February 20th, 2015 No comments

J&K BPEE CET 2015 Biology Syllabus – Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Biology Syllabus 2015

BPEE CET 2015 Biology Syllabus J&K BPEE CET 2015 Entrance Test Syllabus has been Published, All Student who are aspiring for Admission to B.E / B.Tech Engineering / MBBS Medical Programs in Engineering and Medical Colleges in Jammu and Kashmir through BPEE CET and Searching for BPEE CET 2015 Biology Syllabus are hereby informed that the Board of Professional Entrance Exam has Published BPEE CET 2015 Biology Syllabus. Interested Students can check BPEE CET 2015 Biology Syllabus.

Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Biology Syllabus includes J & K BPEE CET 2015 Biology Syllabus Topic wise, J&K BPEE CET 2015 Biology Syllabus Sub Topi wise. Students are requested to cover all topics in order to crack J&K BPEE CET 2015 Entrance Test Biology Syllabus.

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J & K BPEE CET 2015 Biology Syllabus :

UNIT-1: DIVERSITY AND CLASSIFICATION OF PLANTS :

Systematics—need and history; Salient features of two and five kingdom systems and their merits and demerits; types of classifications (artificial, natural and phylogenetic); General characters of algae, fungi, bryophytes, pteridophytes, gymnosperms and angiosperms; Status of some acellular organisms like viruses and viroids;; Lichens—basic characteristics. Botanical gardens and herbarium.

UNIT-2: MORPHOLOGY AND ANATOMY OF PLANTS :

Morphology of root, stem and leaf and their modifications; types of inflorescence, flower, fruit and seed. Description of Liliaceae, Fabaceae and Solanaceae. Tissues and tissue system: Types of tissues (meristematic and permanent). Anatomy of dicot and monocot root, stem and leaves; secondary growth.

UNIT-3: PLANT PHYSIOLOGY :

Transport in plants: Mechanisms of transport—diffusion, facilitated diffusion, passive and active transport, antiport and symport. Plant water relations: Water potential; osmosis; plasmolysis; imbibition; long distance transport of water; apoplast, symplast pathways; ascent of sap; root pressure theory, tanspirational pull theory and cohesion-tension theory. Transpiration: mechanism of opening and closing of stomata, guttation; phloem transport (Mass Flow hypothesis), diffusion of gases. Mineral Nutrition: Essential Minerals; macro and micro nutrients—their role and deficiency symptoms and mineral toxicity. Mechanism of nutrient uptake by plants from soil. Hydroponics. Nitrogen metabolism—nitrogen cycle, nitrogen fixation. Photosynthesis: site of photosynthesis; various photosynthetic pigments; mechanism of light reaction; photophosphorylation (cyclic and non-cyclic); Dark reaction-fixation of carbon dioxide (C3 cycle, C4 cycle); factors affecting photosynthesis photorespiration. Respiration: Exchange of gases, cellular respiration; glycolysis, Krebs cycle, Electron Transport System;
Aerobic and anaerobic respiration; respiratory quotient. Growth and Development: Characteristics and phases of plant growth; growth curve; differentiation, dedifferentiation and redifferentiation; plant growth regulators-discovery, nature and physiological effects of auxins, gibberellins, cytokinins, ethylene and abscisic acid. Photoperiodism and vernalisation.

UNIT-4: REPRODUCTION IN FLOWERING PLANTS :

Modes of reproduction in flowering plants (Vegetative, asexual, sexual and micropropagation); development of male and female gametophytes; Pollination—types, agencies and examples; in-breeding and out-breeding devices, pollen-pistil interaction; double fertilization; post-fertilization events; development of endosperm, embryo, seed and fruit; apomixis and polyembryony—types and importance.

UNIT-5: GENETICS :

Heredity and variation (somatic and germinal); Mendels laws of inheritance; deviations from Mendelism; incomplete
dominance; co-dominance; multiple alleles; pleiotropy; Polygenic Inheritance; Chromosomal Theory of Inheritance.
Evidence for DNA as genetic material; structure of DNA and RNA; DNA packaging; DNA replication; Protein synthesis—
trancription, translation, genetic code; gene expression and regulation (lac-operon).

UNIT-6: ECOLOGY AND ENVIRONMENT :

Meaning of ecology, community, niche. Population and ecological adaptations: Characteristics of populations natality, fecundity & mortality, age distribution; population interactions, competition, predation, parasitism and mutualism. Ecosystems: Biotic and abiotic components; energy flow, nutrient cycling (carbon and phosphorus), decomposition and primary productivity; pyramids of number, biomass and energy; ecological succession types. Food chain and food web. Biodiversity and its conservation: threats to biodiversity; megabiodiversity countries and biodiversity hotspots; IUCN threat categories; in situ and ex situ methods of biodiversity conservation. Environmental issues: Causes and consequences of air and water pollution and their control; solid waste management; agrochemicals and their effect; greenhouse effect and global warming; stratospheric ozone layer depletion—causes and consequences.

UNIT- 7: BIOLOGY AND HUMAN WELFARE :

Plant breeding: Introduction, steps in plant breeding and application of plant breeding; Biofortification, Tissue culture: Cellular totipotency; technique and application of tissue culture Microbes in human welfare: Role of microbes in food processing; industrial production; sewage treatment; energy production (biogas); biopesticides and biofertilizers . Genetically Modified Organisms (GMOs); Bt crops, biopiracy and patents.

UNIT-8: DIVERSITY IN THE LIVING WORLD :

Characteristic features of living organisms Salient features of different animal phyla (non-chordates upto phylum level, chordates upto class level) National parks of India with special reference to J&K State:- Dachigam National Park,Hemis High altitude National park and Kishtwar High altitude National park.

UNIT-9: HISTOLOGY & MORPHOLOGY :

Animal Tissues:- Epithelial, Connective, Muscular and Nervous. Elementary knowledge on morphology & anatomy of Frog, Earthworm and Cockroach.

UNIT-10: CELL-STRUCTURE & FUNCTION :

Modern cell theory, Prokaryotic and eukaryotic cells, cell wall, cell membrane :- structure & function (fluid mosaic model). Cell organelles (Plastids, Mitochondria, Endoplasmic reticulum, Golgi bodies/ dictyosomes, Riobosomes, Lysosomes, Nucleus, Vacuoles, Centrioles, cilia & Flagella) Cell division: Cell cycle, Mitosis and Meiosis Bio molecules: Structure and function of carbohydrates, proteins, lipids and nucleic acids. Primary and secondary metabolites. Metabolism Enzymes: Types, properties functions and factors controlling enzyme activity.

UNIT-11: HUMAN PHYSIOLOGY :

Alimentary canal, digestion and absorption of food, disorders of digestive system (jaundice, vomiting, diarrhea, constipation, indigestion etc.) Respiratory organs, mechanism of breathing, respiratory volumes and capacities, transport of gases (oxygen and carbon dioxide), disorders of respiratory system (asthma, emphysema, fibrosis etc.) Circulatory system:- Blood & lymph and their functions, blood groups, coagulation of blood, human heart, cardiac cycle, ECG, double circulation, disorders of circulatory system. (hypertension, coronary artery disease, angina, heart failure). Excretory products and their elimination. Modes of Excretion; Ammonotelism, Ureotelism and Uricotelism. Human excretory system, urine formation, functions of tubules, mechanism of concentration of the filtrate, regulation of kidney function, micturition, role of other organs in excretion (lungs, liver and skin), haemodialysis and peritoneal dialysis, disorders of the excretory system (kidney failure, glomerulonephritis, renal calculi) Types of movement (amoeboid, ciliary and muscular), different types of muscles, structure of contractile proteins (actin and myosin), mechanism of muscle contraction, joints, disorders of muscular and skeletal system (Myasthenia gravis, muscular dystrophy, tetany, arthritis, gout, osteoporosis) Human nervous system, neuron as a structural and functional unit of nervous system, generation and conduction of nerve impulse, transmission of impulses, reflex action and reflex arc, structure and functioning of the sense organs (eye and ear) Endocrine glands, Mechanism of hormone action, hormones of heart, kidney and gastrointestinal tract.

UNIT-12: REPRODUCTION :

Asexual reproduction:- Characteristics and types of asexual reproduction (binary fission, sporulation, budding, gemmules, fragmentation, regeneration). Human reproduction:- male and female reproductive system, microscopic anatomy of testis and ovary, spermatogenesis and oogenesis, menstrual cycle, fertilization, embryo development upto blastocyst formation, implantation, pregnancy and placenta formation, parturition and lactation Reproductive health:- need for reproductive health, sexually transmitted diseases and their control and prevention. Birth control :- its need and methods, contraception and medical termination of pregnancy (MPT), amniocentesis, infertility and associated reproductive technologies (IVF,ZIFT,GIFT).

UNIT-13: GENETICS AND EVOLUTION :

Sex determination in humans, birds and honey bee. Inheritance pattern of Mendelian disorders in humans (colour lindness, haemophilia, cystic fibrosis, sickle- cell anaemia, phenylketonuria, thalesemia ) Chromosomal disorders in humans:- Downs syndrome, Turners syndrome and Klinefelters syndrome Genome and human genome project. DNA fingerprinting. Origin of life, theories and evidences for evolution with special reference to Darwinian theory, and Modern synthetic theory, Hardy- Weinberg principle, Adaptive radiation. Origin and evolution of man.

UNIT-14: BIOLOGY AND HUMAN WELFARE :

Health and Diseases:- basic concepts of immunology, vaccines, common diseases in human beings (their causative agents, symptoms, prevention and control) with reference to thyphoid, hepatitis, malaria, filariasis, bubonic plague, ascariasis, common cold, amoebiasis and ring worm. Detailed account of diseases like cancer and HIV/ AIDS. Insects and human welfare:- Silk, honey and lac producing insects, their life- cycle and usefulness of their products. Poultry and Diary Farming. Adolescence and drug and alcohol abuse (effects of drug/ alcohol abuse, prevention and control.

UNIT –15: BIOTECHNOLOGY AND ITS APPLICATIONS :

Genetic engineering (recombinant DNA technology), cloning. Biotechnological production of human insulin, vaccines and growth hormone. Gene therapy.Bio safety/ ethical issues regarding recombinant DNA technology.

Source : J & K BPEE CET 2015 Biology Syllabus

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BPEE CET 2015 Chemistry Syllabus

February 20th, 2015 No comments

J&K BPEE CET 2015 Chemistry Syllabus – Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Chemistry Syllabus 2015

BPEE CET 2015 Physics Syllabus J&K BPEE CET 2015 Entrance Test Syllabus has been Published, All Student who are aspiring for Admission to B.E / B.Tech Engineering / MBBS Medical Programs in Engineering and Medical Colleges in Jammu and Kashmir through BPEE CET and Searching for BPEE CET 2015 Chemistry Syllabus are hereby informed that the Board of Professional Entrance Exam has Published BPEE CET 2015 Chemistry Syllabus. Interested Students can check BPEE CET 2015 Chemistry Syllabus.

Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Chemistry Syllabus includes J & K BPEE CET 2015 Chemistry Syllabus Topic wise, J&K BPEE CET 2015 Chemistry Syllabus Sub Topi wise. Students are requested to cover all topics in order to crack J&K BPEE CET 2015 Entrance Test Chemistry Syllabus.

J & K BPEE CET 2015 Syllabus :

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J & K BPEE CET 2015 Chemistry Syllabus :

UNIT 1: CHEMICAL ARITHMETIC & ATOMIC STRUCTURE

Laws of chemical combination, Mole concept (numericals) Percentage composition, Chemical reactions, Stoichiometry and calculations based on stoichiometry.

Atomic structure:- Bohrs model of Hydrogen atom, Quantum numbers, Paulis exclusion principle, Hunds rule and Aufbau principle. Heisenbergs uncertainty principle, de-Broglie wave equation and its significance.

UNIT 2: CHEMICAL EQUILIBRIUM :

Law of mass action, Le-Chateliers principle, and its application to physical and chemical equilibria. Ionisation of weak electrolytes (Ostwalds dilution law) Acids and bases: Acid base equilibria. Bronsted-Lowry and Lewis concept, of acids and bases. Ionic product of water. pH and pOH scales, pKa & pKb values, Solubility product, Buffer solutions Common ion effect, Hydrolysis of salts

UNIT 3: CHEMICAL KINETICS :

Rate of chemical reaction, Average and instantaneous rate, Factors effecting rate of reaction, Order and molecularity of reaction, Integrated rate equation and Half-life period (for zero and first order) reaction, Activation energy and Arrhenius equation.

UNIT 4: SOLUTIONS :

Vapour pressure, Raoults law, Ideal and Non-ideal solutions, Colligative properties. Determination of molecular mass of non-volatile solutes through colligative properties. Abnormal molecular masses and Vant Hoff Factor.

UNIT 5: CHEMICAL THERMODYNAMICS :

Energy changes taking place during chemical reactions, Internal Energy and Enthalpy changes, Enthalpy of combustion, Solution and Neutralization Hesss Law (Numerical problems) Laws of thermodynamics-first, second & third, Concepts of Entropy and Free energy, Spontaneity of a chemical reaction and Thermodynamic equilibrium.

UNIT 6: REDOX REACTIONS AND ELECTROCHEMISTRY :

Dependence of electrode and cell potential on concentration (Nernst Equation), Electrode potential as a criteria for product formation in electrolysis. E.M.F. of Galvanic cell, Relationship between free energy change and E.M.F. of a cell. Definition and units of Equivalent, Molar and Specific conductivity.

UNIT 7: SOLID STATE & STATES OF MATTER :

Boyles Law, Charles law, Daltons law of partial pressure, Grahams law of diffusion of gases. Causes of deviation from ideal behaviour, ideal gas equation and nature of ‗R, Vander Waals equation, surface tension and
viscosity of liquids. Crystalline and amorphous solids, Crystal lattice, Crystal types, Packing efficiency, calculation of density of unit cell, Number of atoms per unit cell in a cubic cell. Co-ordination number, Stoichiometric defects: Schottky, Frenkel and interstitial. Properties of solids: Electrical, Magnetic & Dielectric.

UNIT 8: SURFACE CHEMISTRY :

Freundlich Adsorption isotherm, preparation of colloidal solutions by physical and chemical method. Electrical properties (cataphoresis, electroosmosis, coagulation and protective colloids) Homogeneous and Heterogeneous Catalysis.

UNIT 9: PERIODIC PROPERTIES :

Classification of elements as s, p, d, and f block elements. Variation of Ionization energy, Electron affinity, Electronegativity, Atomic and Ionic radii along the period and down the group in the periodic table.

UNIT 10: CHEMICAL BONDING AND MOLECULAR STRUCTURE :

Types of chemical bonds, Ionic & covalent bonds, Bond parameters, Quantum theory of covalent bond, pi and sigma bonds, Hybridization involving s, p and d-orbitals, Dipole moments and hydrogen bond.

VSEPR: Shapes of simple molecules ( H2O, NH3, SO2, CO2, PCl3, PCl5, CIF3, BF3, SF4, XeF2, XeF4 ).

Molecular orbital theory: Energy Levels and M.O. diagrams of H2, H2 +,He2, O2, O1- 2,O22- & F2. Bond order and its significance.

UNIT 11: CHEMISTRY OF REPRESENTATIVE ELEMENTS :

S and P Block Elements: Electron configuration, Oxidation states and trends in various properties like ionization energy, electron affinity, atomic radii, electronegativity and diagonal relationship.

Alkali metals: Hydration of ions, action with ammonia, flame colouration, solubility of hydroxides, carbonates and sulphates.

Alkaline Earth Metals: Solubility of carbonates, hydroxides and sulphates.

Boron Family: Structure of halides, relative acid strength of trihalides of boron.

Carbon family: Hydrides and oxides.

Nitrogen family: Oxides of Nitrogen and Phosphorous, reducing nature, basic strength and boiling points of their halides.

Oxygen family: volatility, thermal stability, acid character, reducing character and bond angles of their hydrides, oxyacids of sulphur.

Halogen family: Bond energy, colour and oxidizing power, boiling point, acid strength and dipole moment, thermal stability, reducing power of hydracids, relative acidity and oxidizing power of oxyacids of halogens.

UNIT 12: TRANSITION ELEMENTS INCLUDING LANTHANOIDES :

Electron configuration, Oxidation states, Colour, and Magnetic properties.

Oxides of Vanadium, Chromium and Manganese Alloys of Copper, Silver and Iron. Metallurgy of Iron, Copper and Zinc.

UNIT 13: CO-ORDINATION CHEMISTRY :

Introduction, Ligands, Co-ordination Number, IUPAC Nomenclature. Bonding theories: Werners, VBT and CFT.
Isomerism in Co-ordination compounds (Ionization, Linkage, Hydrate, Geometrical and Optical). Applications of Co-ordination complexes in Biology, Medicine and Analytical Chemistry.

UNIT 14: NOMENCLATURE AND BASIC CONCEPTS IN ORGANIC CHEMISTRY :

Nomenclature of organic compounds (monofunctional and polyfunctional groups), inductive,eletromeric resonance and
hyperconjugation effects, reaction intermediates, carbocations, carbanions and free radicals with their general stability order, types of organic reactions (addition, substitution, elimination and redox reactions), aromaticity on the basis of Huckel rule. Ortho, meta and para directing groups.

UNIT 15: HYDROCARBONS :

Structural isomerism in alkanes, alkenes, alkynes and arenes, stereoisomerism: geometrical and optical isomerism, chirality, origin of chirality, specific rotation, racemisation and resolution, conformations in ethane and cyclohexane, relative configuration (D,L-Nomenclature), absolute (R and S system of nomenclature).

UNIT 16: ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP-I :

Haloalkanes, haloarenes, alcohols and phenols: General methods of preparation and properties. Choloroform and Iodoform.

UNIT 17: ORGANIC CHEMISTRY BASED ON FUNCTION GROUP-II :

Ethers, Aldehydes, Ketones, Monocarboxylic acids: General methods of preparation and properties. Derivatives of
monocarboxylic acids like acid halides, acid anhydrides acid amides and esters. Relative strength of carboxylic acids

UNIT 18: ORGANIC CHEMISTRY BASED ON FUNCTIONAL GROUP-III :

Cyanides, Isocyanides, Nitrocompounds and Amines: General methods of preparation and properties. Relative basic
character of amines.

UNIT 19: MOLECULES OF LIFE :

Carbohydrates: Definition, Classification, Mutarotation, Structure of Animo-acids, Peptides and Proteins (Molish and ninhydrin tests). Classification and uses of vitamins. Chemicals in medicine and health care, Dyes and drugs. Chemical reactions in atmosphere, ozone depletion and its effects. Acid rain, Green House effect & Global warming.

UNIT 20: POLYMERS :

Introduction, Classification, Methods of Polymerisation (Addition, Condensation, Free Radical, Cationic & Anionic).
Natural & Synthetic Polymers: Polythene, Nylon, Polyster, Bakelite and Rubber. Biodegradable and Non-Biodegradable Polymers.

Source : J & K BPEE CET 2015 Chemistry Syllabus

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BPEE CET 2015 Physics Syllabus

February 20th, 2015 No comments

J&K BPEE CET 2015 Physics Syllabus – Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Physics Syllabus 2015

BPEE CET 2015 Physics Syllabus J&K BPEE CET 2015 Entrance Test Syllabus has been Published, All Student who are aspiring for Admission to B.E / B.Tech Engineering / MBBS Medical Programs in Engineering and Medical Colleges in Jammu and Kashmir through BPEE CET and Searching for BPEE CET 2015 Physics Syllabus are hereby informed that the Board of Professional Entrance Exam has Published BPEE CET 2015 Physics Syllabus. Interested Students can check BPEE CET 2015 Physics Syllabus.

Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Physics Syllabus includes J & K BPEE CET 2015 Physics Syllabus Topic wise, J&K BPEE CET 2015 Physics Syllabus Sub Topi wise. Students are requested to cover all topics in order to crack J&K BPEE CET 2015 Entrance Test Physics Syllabu.

J & K BPEE CET 2015 Syllabus :

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J & K BPEE CET 2015 Physics Syllabus :

UNIT 1: PHYSICAL WORLD AND MEASUREMENT :

S I units, Fundamental and derived units. Accuracy and precision of measuring instruments, Errors in measurement,
Significant figures. Dimensions of Physical quantities, dimensional analysis and its applications.

UNIT 2: KINEMATICS :

Motion in a straight line: Position-time graph, speed and velocity. Elementary concepts of differentiation and integration for
describing motion. Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated
motion, velocity-time graph, position-time graphs, relations for uniformly accelerated motion, (graphical treatment and
calculus approach). Scalar and Vector quantities, addition and Subtraction of vectors, general Vector and notation, Relativen
Velocity. Scalar and Vector products of two vectors with properties, Unit Vector, Resolution of a Vector in plane rectangular
components, Motion in a plane, Projectile Motion.

UNIT 3: LAWS OF MOTION :

Concept of force and Inertia, Newtons First Law of motion; Momentum and Newtons Second Law of motion, Impulse; Newtons Third Law of motion. Law of conversation of linear momentum and its applications, Equilibrium of concurrent forces. Friction, static and kinetic friction, laws of friction, rolling friction.

Dynamics of uniform circular motion: Centripetal force and examples of circular motion (vehicle on level circular road,
vehicle on banked road.)

UNIT 4: WORK, ENERGY AND POWER :

Concept of scalar products of vectors, Work done by a constant force and variable force; kinetic energy, work energy theorem,
power. Potential energy, Potential energy of spring, conservative forces, conservation of mechanical energy (K.E. and P.E.),
non-conservative forces; Elastic and inelastic collisions in one and two dimensions.

UNIT 5: MOTION OF SYSTEM OF PARTICLES AND RIGID BODY :

Centre of mass of a two-particle system, Centre of mass of a rigid body; Concepts of vector product of vectors: moment of a
force, torque, angular momentum, conservation of angular momentum with some examples. Moment of inertia, radius of
gyration. Values of moment of inertia for simple geometric objects (no derivation), statement of parallel and perpendicular
axes theorems and their applications. Rigid body rotation and equations of rotational motion.

UNIT 6: GRAVITATION :

The universal law of gravitation. Acceleration due to gravity and its variation with altitude, depth and shape, Keplers laws of
planetary motion. Gravitational potential; gravitational potential energy. Escape velocity. Orbital velocity of satellite. Geostationary satellites.

UNIT 7: PROPERTIES OF BULK MATTER :

Elastic behavior, Stress-strain relationship. Hookes Law, Youngs modulus, bulk modulus, shear modulus of rigidity. Pressure due to a fluid column; Pascals law and its applications (hydraulic lift and hydraulic brakes) Viscosity, Stokes law, terminal velocity, streamline and turbulent flow, Reynolds number. Bernoullis theorem and its applications Surface energy and surface tension, angle of contact, applications of surface tension – ideas to drops, bubbles and capillary rise. Heat, temperature, thermal expansion; specific heat, calorimetry; change of state-latent heat. Heat transfer-conduction, convection and radiation, Newtons law of cooling.

UNIT 8: THERMODYNAMICS :

Thermal equilibrium and definition of temperature (zeroth law of thermodynamics),. Heat work and internal energy. First law
of thermodynamics. Second law of thermodynamics: reversible and irreversible processes. Heat engines and refrigerators
(concept only)

UNIT 9: BEHAVIOUR OF PERFECT GAS AND KINECTIC THEORY :

Equation of state of a perfect gas, work done on compressing a gas. Kinectic theory of gases – assumptions, concept of pressure. Kinectic energy and temperature: rms speed of gas molecules; Degrees of freedom, Law of equipartition of energy (Statement only) and applications to specific heat capacities of gases; concept of Mean free path, Avagadros number.

UNIT 10: OSCILLATIONS AND WAVES :

Periodic motion – Period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase; oscillations of a spring-restoring force and force constant; energy in S.H.M. – kinetic and potential energies; Simple pendulum-derivation of expression for its time period; Free, forced and damped oscillations, resonance. Wave motion. Longitudinal and transverse waves, speed of a wave. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.

UNIT 11: ELECTROSTATICS :

Electric charges: Conservation of charge, Coulombs law-forces between two point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field: Electric field due to a point charge, Electric field lines, Electric dipole, Electric field due to a dipole, Torque on a dipole in uniform electric field. Electric flux, Statement of Gausss theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside). Electric potential, electric potential due to a point charge, a dipole and system of charges; Equipotential surfaces, Electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field. Conductors and insulators, Dielectrics and electric polarization, capacitor and capacitance, combination of capacitors in series and in parallel, capacitance of parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor. Van de Graff generator.

UNIT 12: CURRENT ELECTRICITY :

Electric current, Drift velocity, Ohms law, Electrical resistance, V-I characteristics (linear & non-linear), Electrical energy and
power, Electrical resistivity and conductivity, Carbon resistors, Colour code for carbon resistors; Temperature dependence of
resistance. Internal resistance of a cell, potential difference and emf of a cell, combination of cells in series and in parallel. Kirchhoffs laws and their applications. Wheatstone bridge, Metre bridge. Potentiometer – principle and its application to
measure the potential difference and for comparing e.m.f. of two cells; measurement of internal resistance of a cell.

UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM :

Biot – Savart law and its application to current carrying circular loop. Amperes law and its applications to infinitely long current carrying straight wire, straight and toroidal solenoids. Force on moving charge in uniform magnetic and electric fields. Cyclotron. Force on a current-carrying conductor in a uniform magnetic field. Force between two parallel currentcarrying conductors-definition of ampere. Torque experienced by a current loop in uniform magnetic field; Moving coil galvanometer, its current sensitivity and conversion with examples. Current loop as a magnetic dipole and its magnetic dipole moment, magnetic field lines; Earths magnetic field and magnetic elements. Para-, dia- and ferro-magnetic substances with examples. Electromagnets and factors affecting their strength, permanent magnets.

UNIT 14: ELECTROMAGNETIC INDUCTION AND ALT. CURRENTS :

Electromagnetic induction: Faradays law, induced emf and current; Lenzs Law. Eddy currents. Self and mutual inductance.
Alternating currents, peak and rms value of alternating current/voltage; reactance and impedance; LC oscillations (qualitative treatment only) & LCR circuits series, resonance; power in AC circuits, wattles current. AC generators and transformer.

UNIT 15: ELECTROMAGNETIC WAVES :

Electromagnetic waves and their characteristics. Transverse nature of electromagnetic waves. Electromagnetic spectrum
(radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays) including elementary facts about their uses.

UNIT 16: OPTICS :

Ray optics-Reflection of light, spherical mirrors, mirror formula, refraction of light-Total internal reflection and its applications, Refraction at spherical surfaces, lenses, thin lens formula, Lens-makers Formula, Magnification, Power of a Lens. Combination of thin lenses in contact, Microscope and Astronomical Telescope (reflecting and refracting) and their magnifying powers. Wave optics: wave front and Huygens principle, reflection and refraction of plane wave at a plane surface using wave fronts. Proofs of laws of reflection and refraction using Huygens principle. Interferences, Youngs double slit experiment and expression for fringe width, coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes, Polarisation, plane polarized light; Brewsters law, uses of plane polarized light and Polaroids.

UNIT 17: DUAL NATURE OF MATTER AND RADIATION :

Dual nature of radiation. Photoelectric effect, Hertz and Lenards observations; Einsteins photoelectric equation; particle
nature of light. Matter waves-wave nature of particle, de Broglie relation. Davission-Germer experiment.

UNIT 18: ATOMS AND NUCLEI :

Alpha-particle scattering experiment; Rutherfords model of atom; Bohrs model of atom, energy levels, hydrogen spectrum.
Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivity-alpha, beta and gamma
particles/rays and their properties; radioactive decay law. Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission and fusion.

UNIT 19: ELECTRONIC DEVICES :

Quantitative ideas on Energy bands in solids, conductors, insulators and semiconductors. Semiconductors; Semiconductor diode: I-V characteristics in forward and reverse bias; diode as a rectifier; I-V characteristics of LED, photodiode, solar cell and Zener diode; Zener diode as a voltage regulator. Junction transistor and its action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT) concept of NAND and NOR gates. Transistor as a switch.

UNIT 20: COMMUNICATION SYSTEM :

Basic elements of communication system (block diagram only), Bandwidth of signals (speech, TV and digital data); Bandwidth of Transmission medium, Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation. Need for modulation: Production and detection of an amplitude modulated wave.

Source : J & K BPEE CET 2015 Physics Syllabus

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BPEE CET 2015 Syllabus

February 20th, 2015 No comments

J&K BPEE CET 2015 Syllabus – Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Syllabus 2015

BPEE CET 2015 Syllabus J&K BPEE CET 2015 Entrance Test Syllabus has been Published, All Student who are aspiring for Admission to B.E / B.Tech Engineering / MBBS Medical Programs in Engineering and Medical Colleges in Jammu and Kashmir through BPEE CET and Searching for BPEE CET 2015 Syllabus are hereby informed that the Board of Professional Entrance Exam has Published BPEE CET 2015 Syllabus. Interested Students can check BPEE CET 2015 Syllabus.

Jammu & Kashmir Board of Professional Entrance Exam Common Entrance Test Syllabus includes J  & K BPEE CET 2015 Physics Syllabus, J&K BPEE CET 2015 Chemistry Syllabus, J & K BPEE CET 2015 Biology Syllabus and J & K BPEE CET 2015 Biology Syllabus. Students are requested to cover all topics in order to crack J&K BPEE CET 2015 Entrance Test.

J & K BPEE CET 2015 Syllabus :

J & K BPEE CET 2015 Syllabus for Physics

J & K BPEE CET 2015 Syllabus for Chemistry

J & K BPEE CET 2015 Syllabus for Mathematics

J & K BPEE CET 2015 Syllabus for Biology

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IIIT Hyderabad 2015 DDEE Syllabus

February 16th, 2015 No comments

IIIT Hyderabad 2015 Dual Degree Entrance Exam Syllabus – IIITH 2015 Syllabus for DDEE 

IIIT Hyderabad 2015 DDEE Syllabus All Students who are aspiring for Admission to Dual Degree Programs in International Institute of Information Technology Hyderabad IIITH and searching for IIIT Hyderabad Dual Degree Entrance Exam Syllabus are hereby informed that the IIIT Hyderabad Admission Department has Published IIIT Hyderabad 2015 DDEE Syllabus. Students who applied for IIITH DDEE 2015 Entrance Test and Interested to check DDEE 2015 Syllabus can check  IIIT Hyderabad Dual Degree Entrance Exam Syllabus 2015.

International Institute of Information Technology Hyderabad Dual Degree Entrance Exam Syllabus includes IIITH 2015 DDEE General Aptitude Syllabus and IIITH 2015 DDEE Mathematics Syllabus. Interested Students has to Prepare each and every Topic in the Syllabus Published below so that the Students can crack IIIT Hyderabad Dual Degree Entrance Exam 2015.

IIIT Hyderabad Dual Degree Entrance Exam Syllabus : 

  1. General Aptitude : Logical reasoning, graphic intelligence, language analysis2.
  2. Mathematics syllabus

Mathematics Syllabus :

UNIT I. RELATIONS AND FUNCTIONS

1. Relations and Functions: Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.

UNIT-II: ALGEBRA

1. Matrices: Concept, notation, order, equality, types of matrices, zero matrix,transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simpleproperties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

2. Determinants: Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

UNIT-III: CALCULUS

1. Continuity and Differentiability: Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function.Concept of exponential and logarithmic functions and their derivative. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolles and Lagranges Mean Value Theorems (without proof) and their geometric interpretations.

2. Applications of Derivatives: Applications of derivatives: rate of change, increasing/decreasing functions, tangents & normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

3. Integrals: Integration as inverse process of differentiation. Integration of a variaty of functions by substitution, by partial fractions and by parts, only simple integrals of the type to be evaluated. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

4. Applications of the Integrals: Applications in finding the area under simple curves, especially lines, areas of circles/ parabolas/ellipses (in standard form only), area between the two above said curves (the region should be clearly identifiable).

5. Differential Equations: Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: dy/dx+ py = q, where p and q are functions of x.

UNIT-IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY

1. Vectors: Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, arallel and collinear vectors), position vector of a point, negativeof a vector, components of a vector, addition of vectors, ultiplication of a vector by a scalar, position vector of a point ividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.

2. Three – dimensional Geometry: Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane. Distance of a point from a plane.

UNIT-V: LINEAR PROGRAMMING

1. Linear Programming: Introduction, definition of related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

UNIT-VI: PROBABILITY

1. Probability: Multiplication theorem on probability. Conditional probability, independent events, total probability, Bayes theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli)trials and Binomial distribution.

Source : IIIT Hyderabad DDEE Syllabus 2015 

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