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30th July 2014, 03:56 PM
Super Moderator
 
Join Date: Apr 2013
Re: WBJEE Application Form Status

Here I am giving you procedure to get application form status for West Bengal Joint Entrance Examinations Board below :

==go on official website of West Bengal Joint Entrance Examinations Board
==than click on application form status option given on home page of it
==so you will get a application form status format
==now you have to fill application number and click on go option so you will get form status for it .




WBEE syllabus :
WBJEE 2014 Syllabus for Mathematics

Algebra :

A.P., G.P., H.P. : Definitions of A. P. and G.P.; General term; Summation of first n – terms; A.M.and G.M.; Definitions of H.P. ( only 3 terms ) and H.M.; Finite arithmetic – geometric series.

Logarithms : Definition; General properties; Change of base.

Complex Numbers : Definition and properties of complex numbers; Complex conjugate; Triangle inequality; Square root of complex numbers; Cube roots of unity; De Moivre’s theorem ( statement only ) and its elementary applications.

Quadratic Equations : Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression ax2+bx+c ( where a,b,c are rational numbers and a≠0 ).

Permutation and combination : Permutation of n different things taken r at a time ( r ≤ n ). Permutation of n things not all different. Permutation with repetitions ( circular permutation excluded ). Combinations of n different things taken r at a time ( r ≤ n ). Combination of n things not all different. Basic properties. Problems involving both permutations and combinations.

Principle of Mathematical Induction : Statement of the principle, proof by induction for the sum of squares, sum of cubes of first n natural numbers, divisibility properties like 22n – 1 is divisible by 3 ( n ≥1 ), 7 divides 32n+1+2 n+2 ( n ≥ 1 ).


Binomial theorem ( positive integral index ) : Statement of the theorem, general term, middle term, equidistant terms, properties of binomial co – efficients.

Infinite series : Binomial theorem for negative and fractional index. Infinite G.P. series, Exponential and Logarithmic series with range of validity ( statement only ), simple applications.

Matrices : Concepts of m×n ( m ≤ 3, n ≤ 3 ) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants
( statement only ). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a matrix. Finding area of a triangle. Solutions of system of linear equations. ( Not more than 3 variables ).

Sets, Relations and Mappings : Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan’s Laws, Inclusion / Exclusion formula for two or three finite sets, Cartesian product of sets.

Relation and its properties. Equivalence relation – definition and elementary examples, mappings, range and domain, injective, surjective and bijective mappings, composition of mappings, inverse of a mapping.

Probability : Classical definition, addition rule, conditional probability and Bayes’ theorem, independence, multiplication rule.

Trigonometry : Trigonometric ratios, compound angles, multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions.

Co – ordinate Geometry of Two Dimensions :

Basic Ideas : Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar coordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes, concept of locus, elementary locus problems.

Straight line : Slope of a line. Equation of lines in different forms, angle between two lines. Condition of perpendicularity and parallelism of two lines. Distance of a point from a line. Distance between two parallel lines. Lines through the point of intersection of two lines.

Circle : Equation of a circle with a given center and radius. Condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter. Parametric equation of a circle. Intersection of a line with a circle. Equation of common chord of two intersecting circles.

Conics : Definition, Directrix, Focus and Eccentricity, classification based on eccentricity.


Parabola : Standard equation. Reduction of the form x = ay²+by+c or y = ax²+bx+c to the standard form y² = 4ax or x² = 4ay respectively. Elementary properties and parametric equation of a parabola.

Ellipse and Hyperbola : Reduction to standard form of general equation of second degree when xy term is absent. Conjugate hyperbola. Simple properties. Parametric equations. Location of a point with respect to a conic.


Differential calculus : Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivatives of implicit functions and of functions defined parametrically. Rolle’s Theorem and Lagrange’s Mean Value theorem ( statement only ). Their geometric interpretation and elementary application. L’Hospital’s rule ( statement only ) and applications. Second order derivative.

Integral calculus : Integration as a reverse process of differentiation, indefinite integral of standard functions. Integration by parts. Integration by substitution and partial fraction. Definite integral as a limit of a sum with equal subdivisions. Fundamental theorem of integral calculus and its applications. Properties of definite integrals.

Gravitation : Laws of gravitation, gravitational field and potential, acceleration due to gravity and its variation, escape velocity, Kepler’s laws and planetary motion, motion of satellites, Geostationary orbit.

Elasticity : Hooke’s law, elastic modulii, Poisson’s ratio, elastic energy.

Hydrostatics and Fluid Mechanics : Pressure in a fluid, Pascal’s law, Archimedes’ principle, hydraulic press. Surface energy and surface tension, capillary rise. Viscosity, streamline and turbulent motion, critical velocity, Reynold’s number, Stoke’s law, Bernoulli’s theorem and its application.

Vibrations : Simple Harmonic Motion ( SHM ), equation of motion, damped and forced vibrations, resonance, superposition of SHM.

Wave Motion : Elastic waves, longitudinal and transverse waves. progressive waves, superposition of waves : interference, stationary waves, beats, vibration of strings, air columns, velocity of elastic waves in different media, Doppler effect.

Thermal Physics : Scales of temperature, thermal expansion of solids, liquids and gases, calorimetry, change of state of matter, latent heat, transition temperature, Transmission of heat : conduction, convection, radiation, Black body radiation, absorptive and emissive powers : Kirchoffs law, Wien’s law, Stefan’s law, Newton’s law of cooling, Kinetic theory : mean free path, pressure of an ideal gas, mean and rms velocity of molecules of a gas, kinetic interpretation of temperature, degrees of freedom, equipartition of energy ( statement only ) application to monoatomic and diatomic gases.

Thermodynamics : First law of thermodynamics, equivalence of heat and work, intensive and extensive thermodynamic variables, reversible and irreversible processes, specific heats of gases, relation between Cp and Cv.

Optics : Reflection and refraction at plane and spherical surfaces, total internal reflection, thin lenses, power of a lens, combination of lenses and mirrors, deviation and dispersion by prisms. Simple and compound microscopes, astronomical telescope, human eye : defects and remedies. Coherent sources, interference of light, Young’s double slit experiment.

Electrostatics : Coulomb’s law, electric field and potential, flux of electric field, Gauss’ law, electric field and potential due to an infinite line charge, charged infinite sheet, solid spheres and spherical shells. Electric dipole and field due to dipole. Capacitance, spherical and parallel plate capacitors, energy stored in a capacitor, series and parallel combination of capacitors.

Current Electricity : Electric current, drift velocity and mobility, Ohm’s law, resistivity, combination of resistances in series and parallel, combination of cells. Kirchoffs laws, Wheatstone bridge, Metre bridge, potentiometer. Heating effect of current, thermoelectricity, Seebeck and Peltier effect. Chemical effect of current, Faraday’s law of electrolysis, primary and secondary cells.

Electromagnatism : Magnetic effects of Current, BiotSavart’s law, magneticfield due to current flowing through i) an infinitely long straight wire, ii) circular coil iii) solenoid; Ampere’s circuital law, Lorentz force, Fleming’s left hand rule, force between two current carrying conductors, magnetic moment of a current loop, magnetic dipole, torque experienced by a current carrying coil in a uniform magnetic field, galvanometer, current sensitivity, conversion of galvanometer to voltmeter and ammeter. Magnetic field of earth, tangent galvanometer, magnetic properties of materials : Dia, para and ferromagnet, permeability, susceptibility.

Electromagnetic Induction : Magnetic flux, Faraday’s laws of electromagnetic induction, Lenz’s law, self and mutual induction, Flemings right hand rule, Alternating current, peak and rms value of alternating current; generator, D.C. motor and transformer Qualitative idea of electromagnetic wave and its spectrum.

Modern Physics : Bohr’s atomic model for hydrogen like atom, hydrogen spectrum, x – ray emission, Moseley’s law, wave particle duality, de Broglie’s hypothesis, photo electric effect. Constituents of atoms, isotopes, mass defect, mass – energy equivalence, binding energy. radioactivity – α, β, γ radiation, half life, mean life, fission, fusion.

Electronics : Energy bands in solids, intrinsic and doped semiconductors, p – n junction diode, rectifier, pnp and npn transistors, common emitter characteristics of a transistor. Binary number, AND, OR, NOT, NAND and NOR gates.


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