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WBJEE 2015 Syllabus

October 7th, 2014 No comments

WBJEEM 2015 Syllabus – West Bengal Joint Entrance Examination Syllabus

WBJEE 2015 Syllabus West Bengal Joint Entrance Exam WBJEE 2015 Syllabus has been Revised. All Students who are aspiring for Admission to B.Tech Engineering Programs in Various Public and Private Engineering and Medical Colleges in West Bengal Through WBJEE 2015 Entrance Exam are hereby informed that the WBJEE Authorities has Published WBJEE 2015 Syllabus. Students who are aspiring to appear for WBJEE 2015 Entrance Test can check WBJEE 2015 New SyllabusWBJEE 2015 Revised Syllabus.

Students who aspires to crack WBJEE 2015 Entrance Exam are hereby informed to Check the WBJEE 2015 New Syllabus so that they can Prepare well and Crack WBJEE 2015 Entrance Exam. Interested Students can check WBJEE 2015 Syllabus for Physics, WBJEE 2015 Syllabus for Chemistry, WBJEE 2015 Syllabus for Mathematics and WBJEE 2015 Syllabus for Biology.

WBJEE 2015 Syllabus :

WBJEE 2015 Physics Syllabus  WBJEE 2015 Syllabus

WBJEE 2015 Chemistry Syllabus  WBJEE 2015 Syllabus

WBJEE 2015 Mathematics Syllabus  WBJEE 2015 Syllabus

WBJEE 2015 Biology Syllabus  WBJEE 2015 Syllabus

Source : WBJEE 2015 Entrance Test Syllabus  

For More Updates on WBJEE 2015 Entrance Test Syllabus

WBJEE 2015 Mathematics Syllabus

October 6th, 2014 No comments

WBJEEM 2015 Mathematics Syllabus – West Bengal Joint Entrance Examination Mathematics Syllabus

WBJEE 2015 Mathematics Syllabus West Bengal Joint Entrance Exam WBJEE 2015 Maths Syllabus has been Revised. All Students who are aspiring for Admission to B.Tech Engineering Programs in Various Public and Private Engineering and Medical Colleges in West Bengal Through WBJEE 2015 Entrance Exam are hereby informed that the WBJEE Authorities has Published WBJEE 2015 Syllabus. Students who are aspiring to appear for WBJEE 2015 Entrance Test can check WBJEE 2015 New Mathematics SyllabusWBJEE 2015 Revised Mathematics Syllabus.

Students who aspires to crack WBJEE 2015 Entrance Exam are hereby informed to Check the WBJEE 2015 New Mathematics Syllabus so that they can Prepare well and Crack WBJEE 2015 Mathematics Entrance Exam.

WBJEE 2015 Syllabus :

Click here to check : WBJEE 2015 Syllabus   WBJEE 2015 Syllabus

WBJEE 2015 Mathematics Syllabus :

Algebra 

A.P., G.P., H.P.:  Definitions of A. P. and G.P.; General term; Summation of first n -terms  of series  Sn,  Sn2, Sn3;  Arithmetic/Geometric  series,  A.M.,  G.M.  and  their  relation;  Infinite  G.P. series and its sum.

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. Solution of quadratic equation in complex number system.

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 22n1 is divisible by 3 (n ≥ 1), 7 divides 32n+1+2n+2 (n ≥ 1)

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

Matrices: Concepts of m x 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.

Statistics and Probability:

Measure of dispersion, mean, variance and standard deviation, frequency distribution.

Addition   and   multiplication   rules   of   probability,   conditional   probability  and   Bayes’  Theorem, independence of events, repeated independent trails and Binomial distribution.

Trigonometry

Trigonometric functions, addition and subtraction formulae, formulae involving multiple and sub – multiple angles, general solution of trigonometric equations.

Properties of triangles, inverse trigonometric functions and their properties.

Coordinate geometry of two dimensions

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 vi ce versa. Parallel transformation of axes, concept of locus, elementary locus problems.

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 l ine. Distance between two parallel lines. Lines through the point of intersection of two lines.

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 . Equation of tangent, normal and chord. Parametric equation of a circle. Intersection of a line with a circle. Equation of common chord of two intersecting circles.

Definition of conic section, Directrix, Focus and Eccentricity, classification based on eccentricity.

Equation of Parabola, Ellipse and Hyperbola in standard form, their foci, directrices, eccentricities and parametric equations.

Co-ordinate geometry of three dimensions

Direction cosines and direction ratios, distance between two points and section formula, equation of a straight line, equation of a plane, distance of a point from a plane.

Calculus

Differential calculus: Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivative of implicit functions and 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.

Differential Equations: Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

Application of Calculus: Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate.

Motion in a straight line with constant acceleration.

Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines. Area of the region included between two elementary curves.

Vectors: Addition of vectors, scalar multiplication, dot and cross products, scalar triple product.

Source : WBJEE 2015 Mathematics Syllabus  

For More Updates on WBJEE 2015 Entrance Test Syllabus 

WBJEE 2015 Physics Syllabus

October 6th, 2014 No comments

WBJEEM 2015 Physics Syllabus – West Bengal Joint Entrance Examination Physics Syllabus

WBJEE 2015 Physics Syllabus West Bengal Joint Entrance Exam WBJEE 2015 Physics Syllabus has been Revised. All Students who are aspiring for Admission to B.Tech Engineering Programs in Various Public and Private Engineering and Medical Colleges in West Bengal Through WBJEE 2015 Entrance Exam are hereby informed that the WBJEE Authorities has Published WBJEE 2015 Syllabus. Students who are aspiring to appear for WBJEE 2015 Entrance Test can check WBJEE 2015 New Physics SyllabusWBJEE 2015 Revised Physics Syllabus.

Students who aspires to crack WBJEE 2015 Entrance Exam are hereby informed to Check the WBJEE 2015 New Physics Syllabus so that they can Prepare well and Crack WBJEE 2015 Physics Entrance Exam.

WBJEE 2015 Syllabus :

Click here to check : WBJEE 2015 Syllabus   WBJEE 2015 Syllabus

WBJEE 2015 Physics Syllabus :

Physical World, Measurements, Units & dimensions: Physical World, Measurements, Units & dimensions Units & Dimensions of physical quantities, dimensional analysis & its applications, error in measurements, significant figures.

Kinematics:  Scalars  &  vectors,  representation  of  vectors  in  3D,  dot  &  cross  product  &  their applications, elementary differential & integral calculus, time-velocity & relevant graphs, equations of motion with uniform acceleration.

Laws of motion:  Newton’s laws of motion, using algebra & calculus, inertial & non inertial frames, conservation of linear momentum with applications, elastic & inelastic collisions, impulse centripetal force, banking of roads, relative velocity, projectile motion & uniform circular motion

Work, power, energy: Work, power, energy Work, work-energy theorem, power, energy, work done by constant & variable forces, PE & KE, conservation of mechanical energy, conservative and non- conservative forces, PE of a spring,

Motion of centre of mass, connected systems, Friction: Centre of mass of two-particle system, motion of connected system, torque, equilibrium of rigid bodies, moments of inertia of simple geometric bodies (2D) [without derivation] conservation of angular momentum, friction and laws of friction.

Gravitation: Kepler’s laws, (only statement) universal law of gravitation, acceleration due to gravity (g), variation of  g,  gravitational  potential & PE, escape velocity, orbital velocity of satellites, geostationary orbits.

Bulk properties of matter: Elasticity, Hooke’s law, Young’s modulus, bulk modulus, shear, rigidity modulus,  Poisson’s  ratio  elastic  potential  energy.  Fluid  pressure:  Pressure  due  to  a  fluid  column, buoyancy, Pascal’s law, effect of gravity on fluid pressure.  Surface tension: Surface energy, phenomena involving surface tension, angle of contact, capillary rise,

Viscosity:  Coefficient  of  viscosity,  streamline  &  turbulent  motion,  Reynold’s  number,  Stoke’s  law, terminal velocity, Bernoulli’s theorem.

Heat & Thermal Physics: Heat & temperature, thermal expansion of solids. liquids & gases, ideal gas laws, isothermal & adiabatic processes; anomalous expansion of water & its effects, sp. heat capacity, Cp, Cv, calorimetry; change of state, specific latent heat capacity. Heat transfer; conduction, thermal and thermometric conductivity, convection & radiation, Newton’s law of cooling, Stefan’s law.

Thermodynamics:   Thermal  equilibrium (Zeroth  law  of  thermodynamics),  heat,  work  &  internal energy.  1st   law  of  thermodynamics,  isothermal  & adiabatic  processes,  2nd  law of  thermodynamics, reversible & irreversible processes.

Kinetic theory of gases:  Equation of state of a perfect gas, kinetic theory of gases, assumptions in Kinetic theory of gases, concept of pressure. & temperature; rms speed of gas molecules; degrees of freedom, law of equipartition of   energy (introductory ideas) & application to specific heats of gases; mean free path, Avogadro number.

Oscillations & Waves: Periodic motion – time period, frequency, time-displacement eqation, Simple harmonic motion (S.H.M) & its equation; phase; SHM in different sytems, restoring force & force const, energy in S.H.M.-KE & PE, free, forced & damped oscillations (introductory ideas), resonance wave motion, equation for progressive wave, longitudinal & transverse waves, sound waves, Newton’s formula

& Laplace’s correction, factors affecting the velocity of sound in air, principles of superposition of waves, reflection  of  waves,  standing  waves  in  strings  &  organ  pipes,  fundamental  mode,      harmonics  & overtones, beats, Doppler effect.

Electrostatics: Conservation  of  electric  charges,  Coulomb’s  law-force  between  two  point  charges, forces between multiple charges; superposition principle & continuous charge distribution. Electric field,

& potential   due to a point charge & distribution of charges, electric field lines electric field due to a dipole;  torque  on  a  dipole  in  uniform  electric  field;    electric  flux,  Gauss’  theorem  &  its  simple applications, conductors & insulators, free charges & bound charges inside a conductor; dielectrics & electric polarisation, capacitors & capacitance, combination of capacitors in series & in parallel, capacitance of a parallel plate capacitor with & without dielectric medium between the plates, energy stored in a capacitor.

Current Electricity: Electric current, & conductor, drift velocity’ mobility & their relation with electric current; Ohm’s law, electrical resistance, Ohmic and non-Ohmic conductors, electrical energy & power, carbon  resistors,  colour  codes,  combination  of  resistances,  temperature    dependence  of  resistances, electric cell,  emf  and internal resistance of an electric  cell, pd, combination of cells, secondary cells, (introductory) Kirchoff’s laws of electrical network, simple applications, principle of Wheatstone bridge, metre bridge and potentiometer and their uses, thermoelectricity; Seebeck effect; Peltier effect, thermo emf.

Magnetic effect of current: Concept of magnetic field, Oersted’s experiment, Biot – Savart law & its application to current carrying  circular loop; Ampere’s law & its applications to infinitely long straight wire, straight and toroidal solenoids; force on a moving charge in uniform magnetic & electric fields, cyclotron frequency; 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 a uniform magnetic field; moving coil galvanometer-its current sensitivity & conversion to ammeter & voltmeter, Inter-conversion of voltmeter & ammeter & change of their ranges.

Magnetics: Current loop as a magnetic dipole & its magnetic dipole moment, magnetic dipole moment of a revolving electron, magnetic field intensity due to a magnetic dipole bar magnet along its axis & perpendicular to its axis, torque on a magnetic dipole (bar magnet) in a uniform magnetic field; magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field & its magnetic elements. para-, dia- & ferro- magnetic  substances,  with  examples.  Electromagnets  & the  factors    affecting  their  strengths, permanent  magnets.

Electromagnetic induction & alternating current: Electromagnetic induction; Faraday’s  laws, induced emf & current; Lenz’s Law, eddy currents, self & mutual induction, alternating currents, peak and rms value of alternating current and voltage; reactance and impedance;  LR & CR circuits, phase lag & lead, LCR series circuit, resonance; power in AC circuits, wattless current.

Electromagnetic waves: Electromagnetic  waves  and  their  characteristics  (qualitative  ideas  only), transverse nature of electromagnetic waves, electromagnetic spectrum, applications of the waves from the different parts of the spectrum

Optics I (Ray optics): Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection & its applications, optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lensmaker’s formula. Newton’s relation:   Displacement method to find position of images (conjugate points) Magnification, power of a lens, combination of thin lenses in contact, combination of a lens & a mirror refraction and dispersion of light through a prism; optical instruments, human eye, image formation  &  accommodation,  correction  of  eye  defects  (myopia,   hypermetropia)  using  lenses, microscopes & astronomical telescopes (reflecting & refracting) & their magnifying powers.

Optics II (Wave Optics): Scattering of light – blue colour of the sky, elementary idea of Raman effect; wave optics: wave front & Huygens’ principle, reflection & refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection & refraction using Huygens’ principle Interference, Young’s double slit experiment & expression for fringe width, coherent sources, Fraunhoffer diffraction due to a single slit,

Particle nature of light & wave particle dualism: Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation – particle nature of light, matter waves; wave nature of particles, de Broglie relation.

Atomic Physics: Alpha-particle scattering expt Rutherford’s nuclear atom model of atom; Bohr model of hydrogen atom, energy levels in a hydrogen atom, hydrogen spectrum, continuous & characteristic x- rays.

Nuclear Physics: Composition & size of nucleus, atomic masses, isotopes, isobars; isotones, radioactivity – alpha, beta &   gamma particles/ rays & their properties; radioactive decay law;   mass- energy relation, mass defect; binding energy per nucleon & its variation with mass number; nuclear fission & fusion.

Solid state Electronics:   Energy bands in solids (qualitative ideas only), conductors, insulators & semiconductors; semiconductor diode – I-V characteristics in forward & reverse bias, diode as a rectifier; I-V characteristics of   LED, photodiode, solar cell & Zener diode; Zener diode as a voltage regulator, junction  transistor  (BJT),  transistor  action,  characteristics  of  a  BJT,  BJT  as  an  amplifier  (CE configuration) & oscillator;  logic gates (OR, AND, NOT, NAND & NOR).

Source : WBJEE 2015 Physics Syllabus  

For More Updates on WBJEE 2015 Entrance Test Syllabus 

WBJEE 2015 Chemistry Syllabus

October 6th, 2014 No comments

WBJEEM 2015 Chemistry Syllabus – West Bengal Joint Entrance Examination Chemistry Syllabus

WBJEE 2015 Chemistry Syllabus West Bengal Joint Entrance Exam WBJEE 2015 Chemistry Syllabus has been Revised. All Students who are aspiring for Admission to B.Tech Engineering Programs in Various Public and Private Engineering and Medical Colleges in West Bengal Through WBJEE 2015 Entrance Exam are hereby informed that the WBJEE Authorities has Published WBJEE 2015 Syllabus. Students who are aspiring to appear for WBJEE 2015 Entrance Test can check WBJEE 2015 New Chemistry SyllabusWBJEE 2015 Revised Chemistry Syllabus.

Students who aspires to crack WBJEE 2015 Entrance Exam are hereby informed to Check the WBJEE 2015 New Chemistry Syllabus so that they can Prepare well and Crack WBJEE 2015 Chemistry Entrance Exam.

WBJEE 2015 Syllabus :

Click here to check : WBJEE 2015 Syllabus   WBJEE 2015 Syllabus

WBJEE 2015 Chemistry Syllabus :

Atoms, Molecules and Chemical Arithmetic: 

Dalton’s  atomic  theory;  Gay  Lussac’s  law  of  gaseous  volume;  Avogadro’s  Hypothesis  and  its applications.

Atomic  mass;  Molecular  mass;  Equivalent  weight;  Valency;  Gram atomic  weight;  Gram  molecular weight; Gram equivalent weight and mole concept; Chemical formulae; Balanced chemical equations;

Calculations (based on mole concept) involving common oxidation – reduction, neutralization, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality. Percentage composition, empirical formula and molecular formula; Numerical problems.

Atomic Structure:

Concept of Nuclear Atom – electron, proton and neutron (charge and mass), atomic number. Rutherford’s model and its limitations; Extra nuclear structure; Line spectra of hydrogen atom.

Quantization of energy (Planck’s equation E = hν); Bohr’s model of hydrogen atom and its limitations, Sommerfeld’s modifications (elementary idea); The four quantum numbers, ground state electronic configurations of many electron atoms and mono – atomic ions; The Aufbau Principle; Pauli’s Exclusion Principle and Hund’s Rule.

Dual nature of matter and light, de Broglie’s relationship, Uncertainty principle; The concept of atomic orbitals, shapes of s, p and d orbitals (pictorial approach).

Radioactivity and Nuclear Chemistry:

Radioactivity α-, β-, γ rays and their properties; Artificial transmutation; Rate of radioactive decay, decay constant, half-life and average age life period of radio-elements; Units of radioactivity; Numerical problems.

Stability of the atomic nucleus – effect of neutron-proton (n/p) ratio on the modes of decay, group displacement  law,  radioisotopes  and  their  uses  (C,  P,  Co  and  I  as  examples)  isobars  and  isotones (definition and examples), elementary idea of nuclear fission and fusion reactions.

The Periodic Table and Chemical Families:

Modern   periodic  law   (based   on   atomic   number);   Modern   periodic   table  based   on   electronic configurations, groups (Gr. 1-18) and periods. Types of elements – representative (s-block and p- block), transition (d-block) elements and inner transition (f-block/lanthanides and actinides) and their general characteristics. Periodic trends in physical and chemical properties – atomic radii, valency, ionization energy, electron affinity, electronegativity, metallic character, acidic and basic characters of oxides and hydrides of the representative elements (up to Z = 36). Position of hydrogen and the noble gases in the periodic table; Diagonal relationships.

Chemical Bonding and Molecular Structure:

Valence electrons, the Octet rule, electrovalent, covalent and coordinate covalent bonds with examples; Properties of electrovalent and covalent compounds. Limitations of Octet rule (examples); Fajans Rule.

Directionality of covalent bonds, shapes of poly – atomic molecules (examples); Concept of hybridization of atomic orbitals (qualitative pictorial approach): sp, sp2, sp3 and dsp2.

Molecular  orbital  energy  diagrams  for  homonuclear  diatomic  species  –  bond  order  and  magnetic properties.

Valence  Shell  Electron  Pair  Repulsion  (VSEPR)  concept  (elementary  idea)  –  shapes  of  molecules. Concept of resonance (elementary idea), resonance structures (examples). Elementary idea about electronegativity, bond polarity and dipole moment, inter- and intra-molecular hydrogen bonding and its effects on physical properties (mp, bp and solubility); Hydrogen bridge bonds in diborane.

Coordination Compounds:

Introduction, Double salts and complex salts, coordination compounds (examples only), Werner’s theory, coordination number (examples of coordination number 4 and 6 only), colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds.

Solid State:

Classification of solids based on different binding forces: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea). Unit cell in two dimensional and three dimensional lattices, calculation of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects, electrical and magnetic properties. Band theory of metals, conductors, semiconductors and insulators and n & p type semiconductors.

Liquid State:

Vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations).

Gaseous State:

Measurable properties of gases. Boyle’s Law and Charles Law, absolute scale of temperature, kinetic theory of gases, ideal gas equation – average, root mean square and most probable velocities and their relationship with temperature. Daltons Law of partial pressure, Grahams Law of gaseous diffusion. Deviations from ideal behavior. Liquefaction of gases, real gases, van der Waals equation; Numerical problems.

Chemical Energetics and Chemical Dynamics:

Chemical Energetics – Conservation of energy principle, energy changes in physical and chemical transformations. First law of thermodynamics; Internal energy, work and heat, pressure – volume work; Enthalpy. Internal energy change (ΔE) and Enthalpy change (ΔH) in a chemical reaction. Hesss Law and its applications (Numerical problems). Heat of reaction, fusion and apourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity. Third law of thermodynamics (brief introduction).

Chemical Equilibria – The Law of mass action, dynamic nature of chemical equilibria. Equilibrium constants, Le Chateliers Principle. Equilibrium constants of gaseous reactions (Kp  and Kc) and relation between them (examples). Significance of ΔG and ΔGº.

Chemical Dynamics – Factors affecting the rate of chemical reactions (concentration, pressure, temperature, catalyst), Concept of collision theory. Arrhenius equation and concept of activation energy.

Order  and  molecularity  (determination  excluded);  First  order  reactions,  rate  constant,  half  –  life (numerical problems), examples of first order and second order reactions.

Physical Chemistry of Solutions:

Colloidal Solutions – Differences from true solutions; Hydrophobic and hydrophilic colloids (examples and uses); Coagulation and peptization of colloids; Dialysis and its  applications; Brownian motion; Tyndall effect and its applications; Elementary idea of emulsion, surfactant and micelle.

Electrolytic Solutions – Specific conductance, equivalent conductance, ionic conductance, Kohlrausch’s law, Faraday’s laws of electrolysis, applications. Numerical problems.

Non-electrolytic Solutions – Types of solution, vapour pressure of solutions. Raoult’s Law; Colligative properties – lowering of vapour pressure, elevation of boiling point, depression of freezing point, osmotic pressure and their relationships with molecular mass (without derivations); Numerical problems.

Ionic and Redox Equilibria:

Ionic equilibria – ionization of weak electrolytes, Ostwald’s dilution law. Ionization constants of weak acids and bases, ionic product of water, the pH – scale, pH of aqueous solutions of acids and bases; Buffer solutions, buffer action and Henderson equation.

Acid-base titrations, acid – base indicators (structures not required). Hydrolysis of salts (elementary idea), solubility product, common ion effect (no numerical problems).

Redox Equilibria: Oxidation – Reduction reactions as electron transfer processes, oxidation numbers, balancing of redox reactions by oxidation number and ion-electron methods. Standard electrode potentials (E°), Electrochemical series, feasibility of a redox reaction. Significance of Gibb’s equation: ΔG° = – nFΔE° (without derivation), no numerical problems. Redox titrations with (examples); Nernst equations (Numerical problems).

Hydrogen:

Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen, hydrides-ionic covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxide – preparation, reactions and structure and use; hydrogen as a fuel.

Chemistry of Non-Metallic Elements and their Compounds:

Carbon – occurrence, isotopes, allotropes (graphite, diamond, fullerene); CO and CO2 production, properties and uses.

Nitrogen  and  Phosphorus  –  occurrence,  isotopes,  allotopes,  isolation  from  natural  sources  and purification, reactivity of the free elements. Preparation, properties, reactions of NH3, PH3, NO, NO2, HNO2, HNO3, P4O10, H3PO3 and H3PO4.

Oxygen and Sulphur – Occurrence, isotopes, allotropic forms, isolation from natural sources and purification, properties and reactions of the free elements. Water, unusual properties of water, heavy water (production and uses). Hydrogen peroxide and ozone (production, purification, properties and uses).

Halogens – comparative study, occurrence, physical states and chemical reactivities of the free elements, peculiarities of fluorine and iodine; Hydracids of halogens (preparation, properties, reactions and uses), inter-halogen compounds (examples); Oxyacids of chlorine.

Chemistry of Metals:

General principles of metallurgy – occurrence, concentration of ores, production and purification of metals, mineral wealth of India. Typical metals (Na, Ca, Al, Fe, Cu and Zn) – occurrence, extraction, purification  (where  applicable),  properties  and  reactions  with  air,  water,  acids  and  non-metals. Manufacture of steels and alloy steel (Bessemer, Open-Hearth and L.D. process).

Principles of chemistry involved in electroplating, anodizing and galvanizing. Preparation and properties of K2Cr2O7 and KMnO4.

Lanthanoids – Electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences.

Actinoids – Electronic configuration, oxidation states and comparison with lanthanoids.

Chemistry in Industry:

Large  scale  production  (including  physicochemical  principles  where  applicable,  omitting  technical details) and uses of Sulphuric acid (contact process), Ammonia (Haber’s process), Nitric acid (Ostwald’s process), sodium bi-carbonate and sodium carbonate (Solvey process).

Polymers:

Natural  and  synthetic  polymers,  methods  of  polymerization  (addition  and  condensation), copolymerization,  some  important  polymers  –  natural  and synthetic like  polythene,  nylonpolyesters, bakelite, rubber. Biodegradable and non-biodegradable polymers.

Surface Chemistry:

Adsorption – physisorption and chemisorption, factors affecting adsorption of gases on solids, catalysis, homogenous and heterogenous activity and selectivity; enzyme catalysis colloidal state distinction between true solutions, colloids and suspension; lyophilic , lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation, emulsion – types of emulsions.

Environmental Chemistry:

Common  modes of pollution of air, water and soil. Ozone layer, ozone hole  – important chemical reactions in the atmosphere, Smog; major atmospheric pollutants; Green House effect; Global warming – pollution due to industrial wastes, green chemistry as an alternative tool for reducing pollution, strategies for control of environment pollution.

Chemistry of Carbon Compounds:

Hybridization of carbon: σ – and π – bonds.

Isomerism – constitutional and stereoisomerism; Geometrical and optical isomerism of compounds containing upto two asymmetric carbon atoms. IUPAC nomenclature of simple organic compounds – hydrocarbons, mono and bifunctional molecules only (alicyclic and heterocyclic compounds excluded). Conformations of ethane and n-butane (Newman projection only).

Electronic Effects: Inductive, resonance and hyperconjugation. Stability of carbocation, carbanion and free radicals; Rearrangement of carbocation; Electrophiles and nucleophiles, tautomerism in β-dicarbonyl compounds, acidity and basicity of simple organic compounds.

Aliphatic Compounds:

Alkanes  –  Preparation  from  alkyl  halides  and  carboxylic  acids;  Reactions  —  halogenation  and combustion.

Alkenes and Alkynes – Preparation from alcohols; Formation of Grignard reagents and their synthetic applications for the preparation of alkanes, alcohols, aldehydes, ketones and acids; SNl and SN2 reactions (preliminary concept). Markownikoff’s and anti-Markownikoff’s additions; Hydroboration; Oxymercuration-demercuration, reduction of alkenes and alkynes (H2/Lindler catalyst and Na in liquid NH3), metal acetylides.

Haloalkanes and Haloarenes:

Haloalkanes – Preparation from alcohols; Nomenclature, nature of C -X bond, physical and chemical properties, mechanism of substitution reactions, optical rotation. Formation of Grignard reagents and their synthetic applications for the preparation of alkanes, alcohols, aldehydes, ketones and acids; SN1 and SN2 reactions ( preliminary concept ).

Uses and environmental effects of – dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.

Alcohols:

Preparation of alcohols from carbonyl compounds and esters. Reaction – dehydration, oxidation, esterification, reaction with sodium, ZnCl2/HCl, phosphorous halides.

Ethers – Preparation by Williamson’s synthesis; Cleavage with HCl and HI.

Aldehydes and Ketones – Preparation from esters, acid chlorides, gem-dihalides, Ca-salt of carboxylic acids.  Reaction  –  Nucleophilic  addition  with  HCN,  hydrazine,  hydroxyl  amines,  semi  carbazides, alcohols; Aldol condensation, Clemmensen and Wolff – Kishner reduction, haloform, Cannizzaro and Wittig reactions.

Carboxylic Acids – Hydrolysis of esters (mechanism excluded) and cyanides; Hunsdicker and HVZ reactions.

Aliphatic Amines – Preparation from nitro, cyano and amido compounds. Distinction of 1º, 2º and 3º amines (Hinsberg method); Reaction with HNO2; Carbyl amine reaction.

Aromatic Compounds:

Benzene  –  Kekule  structure,  aromaticity and  Hückel  rule.  Electrophilic substitution  –  halogenation, sulfonation, nitration, Friedel Crafts reaction, ozonolysis. Directive influence of substituents in monosubstituted benzenes. Carcinogenicity and toxicity.

Amines  –  Preparation  from  reduction  of  nitro  compounds;  Formation  of  diazonium salts  and  their stability; Replacement of diazonium group with H, OH, X (halogen), CN and NO2, diazocoupling and reduction.

Haloarenes – Nature of C -X bond, substitution reactions; Nucleophilic substitution, cine substitution (excluding mechanism, Directive influence of halogen in monosubstituted compounds only).

Phenols – halogenation, sulfonation, nitration, Reimer – Tiemann and Kolbe reactions.

Aromatic Aldehydes – Preparation by Gattermann, Gattermann-Koch, Rosenmund and Stephen’s method.

Reactions – Perkin, Benzoin and Cannizzaro.

Application Oriented chemistry:

Main ingredients, their chemical natures (structures excluded) and their side effects, if any, of common antiseptics, analgesics, antacids, vitamin-C.

Introduction to Bio-Molecules:

Carbohydrates – Pentoses and hexoses. Distinctive chemical reactions of glucose.

Aminoacids – glycine, alanine, aspartic acid, cysteine (structures). Zwitterion structures of amino acids, peptide bond.

ADP and ATP – structures and role in bioenergetics; Nucleic acids – DNA and RNA skeleton structures. Names of essential elements in biological system.

Principles of Qualitative Analysis :

Detection of water soluble non-interfering Acid and Basic Radicals by dry and wet tests from among: Acid Radicals: Cl-, S2-, SO42-, NO3–, CO32-. Basic Radicals: Cu2+, Al3+, Fe3+, Fe2+, Zn2+, Ca2+, Mg2+, Na+, NH +.
Detection of special elements (N, Cl, Br, I and S) in organic compounds by chemical tests. Identification of functional groups in: phenols, aromatic amines, aldehydes, ketones and carboxylic acids.Source : WBJEE 2015 Chemistry Syllabus  For More Updates on WBJEE 2015 Entrance Test Syllabus 

JEE Advanced 2015 Syllabus

October 3rd, 2014 No comments

JEE Advanced 2015 Entrance Exam Syllabus

JEE Advanced 2015 Syllabus JEE Advanced Syllabus 2015 has been Published. All Students who are aspiring for Admission to B.Tech Engineering and B.Arch Programs in IITs through JEE Advanced 2015 Entrance Test and who are Preparing to Crack JEE Advanced 2015 Entrance Exam ad Searching for JEE Advanced 2015 Syllabus are hereby informed that the JEE Advanced 2015 Authorities has Published JEE Advanced 2014 Syllabus. Interested Students can check JEE Advanced 2015 Syllabus.

JEE Advanced 2015 Syllabus Includes JEE Advanced Physics Syllabus 2015, JEE Advanced Chemistry Syllabus 2015, JEE Advanced Mathematics Syllabus 2015 and JEE Advanced Architecture Aptitude Test Syllabus 2015. 

JEE Advanced 2015 Syllabus :

JEE Advanced 2015 Physics Syllabus   

JEE Advanced 2015 Chemistry Syllabus

JEE Advanced 2015 Mathematics Syllabus

JEE Advanced 2015 Architecture Aptitude Test Syllabus

For More Updates on : IITs and JEE Advanced 2015 Entrance Test

JEE Advanced 2015 Chemistry Syllabus

October 3rd, 2014 No comments

JEE Advanced 2015 Chemistry Syllabus – JEE Advanced Chemistry Syllabus 2015

JEE Advanced 2015 Chemistry Syllabus JEE Advanced 2015 Chemistry Syllabus has been Published. All Students who are aspiring for Admission to B.Tech Engineering Programs in Indian Premier Institutes Like Indian Institute of Technologies IITs are hereby informed that the JEE Advanced 2015 Authorities has Published JEE Advanced 2015 Syllabus Interested Students can check JEE Advanced Chemistry Syllabus 2015.

JEE Advanced 2015 Authorities will Conduct JEE Advanced 2015 Entrance Test for Students who are aspiring for Admission to B.Tech Programs in IITs. So Students who are Preparing to Crack JEE Advanced 2015 Entrance Test and Interested to check JEE Advanced 2015 Syllabus Can Check JEE Advanced Chemistry Syllabus 2015.

JEE Advanced 2015 Syllabus :

Click here to check : JEE Advanced 2015 Syllabus

JEE Advanced 2015 Chemistry Syllabus:

Physical Chemistry : 

General topics: Concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidation-reduction, neutralisation, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality.

Gaseous and liquid states: Absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation; Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature; Law of partial pressures; Vapour pressure; Diffusion of gases.

Atomic structure and chemical bonding:  Bohr model, spectrum of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation involving s, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species;  Hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonalbipyramidal, tetrahedral and octahedral).

Energetics: First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy, Hess’s law; Heat of reaction, fusion and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.

Chemical equilibrium: Law of mass action; Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure); Significance of ΔG and ΔG0 in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions;  Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.

Electrochemistry: Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation to ΔG; Electrochemical series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.

Chemical kinetics:  Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation).

Solid state: Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.

Solutions:  Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.

Surface chemistry:  Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples).

Nuclear chemistry:  Radioactivity: isotopes and isobars; Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to proton-neutron ratio; Brief discussion on fission and fusion reactions.

Inorganic Chemistry :

Isolation/preparation and properties of the following non-metals: Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.

Preparation and properties of the following compounds: Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (carbonic acid); Silicon: silicones, silicates and silicon carbide;  Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.

Transition elements (3d series): Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cis-trans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).

Preparation and properties of the following compounds: Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+; Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.

Ores and minerals: Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.

Extractive metallurgy: Chemical principles and reactions only (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead); Electrolytic reduction method (magnesium and aluminium); Cyanide process (silver and gold).

Principles of qualitative analysis: Groups I to V (only Ag+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+,  Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphate and sulphide.

Organic Chemistry : 

Concepts: Hybridisation of carbon; σ and π-bonds; Shapes of simple organic molecules; Structural and geometrical isomerism;  Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Keto-enoltautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage;  Formation, structure and stability of carbocations, carbanions and free radicals.

Preparation, properties and reactions of alkanes: Homologous series, physical properties of alkanes (melting points, boiling points and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.

Preparation, properties and reactions of alkenes and alkynes: Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnO4 and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (X=halogen);  Addition reactions of alkynes; Metal acetylides.

Reactions of benzene: Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect of o-, m- and p-directing groups in monosubstituted benzenes.

Phenols: Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.

Characteristic reactions of the following (including those mentioned above): Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions,  nucleophilic substitution reactions;  Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones; Ethers: Preparation by Williamson’s  Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition);  Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).

Carbohydrates: Classification; mono- and di-saccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.

Amino acids and peptides: General structure (only primary structure for peptides) and physical properties.

Properties and uses of some important polymers: Natural rubber, cellulose, nylon, teflon and PVC.

Practical organic chemistry: Detection of elements (N, S, halogens); Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of separation of mono-functional organic compounds from binary mixtures.

Source : JEE Advanced 2015 Chemistry Syllabus  

For More Updates on : IITs and JEE Advanced 2015 Entrance Test

JEE Advanced 2015 Mathematics Syllabus

October 3rd, 2014 No comments

JEE Advanced 2015 Maths Syllabus – JEE Advanced Mathematics Syllabus 2015

JEE Advanced 2015 Mathematics Syllabus JEE Advanced 2015 Mathematics Syllabus has been Published. All Students who are aspiring for Admission to B.Tech Engineering Programs in Indian Premier Institutes Like Indian Institute of Technologies IITs are hereby informed that the JEE Advanced 2015 Authorities has Published JEE Advanced 2015 Syllabus Interested Students can check JEE Advanced Mathematics Syllabus 2015.

JEE Advanced 2015 Authorities will Conduct JEE Advanced 2015 Entrance Test for Students who are aspiring for Admission to B.Tech Programs in IITs. So Students who are Preparing to Crack JEE Advanced 2015 Entrance Test and Interested to check JEE Advanced 2015 Syllabus Can Check JEE Advanced Mathematics Syllabus 2015.

JEE Advanced 2015 Syllabus :

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JEE Advanced 2015 Mathematics Syllabus:

Algebra :

Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic, geometric and harmonic progressions, arithmetic, geometric  and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.

Logarithms and their properties.

Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.

Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Trigonometry :

Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).

Analytical Geometry :

Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.

Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines;  Centroid, orthocentre, incentre and circumcentre of a triangle.

Equation of a circle in various forms, equations of tangent, normal and chord.

Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points  of  intersection of two circles and those of a circle and a straight line.

Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.

Locus Problems.

Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.

Differential Calculus :

Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.

Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.

Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.

Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s Theorem and Lagrange’s Mean Value Theorem.

Integral Calculus :

Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Integral Calculus.

Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.

Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

Vectors :

Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.

Source : JEE Advanced 2015 Mathematics Syllabus  

For More Updates on : IITs and JEE Advanced 2015 Entrance Test

JEE Advanced 2015 Physics Syllabus

October 3rd, 2014 No comments

JEE Advanced 2015 Physics Syllabus – JEE Advanced Physics Syllabus 2015

JEE Advanced 2015 Physics Syllabus JEE Advanced 2015 Physics Syllabus has been Published. All Students who are aspiring for Admission to B.Tech Engineering Programs in Indian Premier Institutes Like Indian Institute of Technologies IITs are hereby informed that the JEE Advanced 2015 Authorities has Published JEE Advanced 2015 Syllabus Interested Students can check JEE Advanced Physics Syllabus 2015.

JEE Advanced 2015 Authorities will Conduct JEE Advanced 2015 Entrance Test for Students who are aspiring for Admission to B.Tech Programs in IITs. So Students who are Preparing to Crack JEE Advanced 2015 Entrance Test and Interested to check JEE Advanced 2015 Syllabus Can Check JEE Advanced Physics Syllabus 2015.

JEE Advanced 2015 Syllabus :

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JEE Advanced 2015 Physaics Syllabus:

General :

Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Verniercalipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.

Mechanics :

Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform Circular motion; Relative velocity.

Newtons laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.

Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.

Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.

Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.

Linear and angular simple harmonic motions.

Hookes law, Youngs modulus.

Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stokes law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications.

Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).

Thermal Physics :

Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newtons law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoffs law; Wiens displacement law, Stefans law.

Electricity and Magnetism :

Coulombs law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.

Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.

Electric current; Ohms law; Series and parallel arrangements of resistances and cells; Kirchhoffs laws and simple applications; Heating effect of current.

Biot–Savarts law and Amperes law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field.

Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions.

Electromagnetic induction: Faradays law, Lenzs law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.

Optics :

Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.

Wave nature of light: Huygens principle, interference limited to Youngs double-slit experiment.

Modern Physics :

Atomic nucleus; α, β and γ radiations; Law of radioactive decay;  Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.

Photoelectric effect; Bohrs theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseleys law; de Broglie wavelength of matter waves

Source : JEE Advanced 2015 Physics Syllabus  

For More Updates on : IITs and JEE Advanced 2015 Entrance Test

JEE Advanced 2015 Architecture Aptitude Test Syllabus

October 3rd, 2014 No comments

JEE Advanced 2015 AAT Syllabus – JEE Advanced 2015 Architecture Aptitude Test Syllabus

JEE Advanced 2015 Architecture Aptitude Test Syllabus JEE Advanced 2015 Architecture Apptitude Test Syllabus has been Published. All Students who are aspiring for Admission to B.Arch and Planning Programs in Indian Premier Institutes Like Indian Institute of Technologies IITs are hereby informed that the JEE Advanced 2015 Authorities has Published JEE Advanced 2015 Syllabus Interested Students can check JEE Advanced AAT Syllabus 2015.

JEE Advanced 2015 Authorities will Conduct a Separate Entrance Test for Students who are aspiring for Admission to B.Arch Programs in IITs. So Students who are Preparing to Crack JEE Advanced 2015 AAT Entrance Test and Interested to check JEE Advanced 2015 Syllabus Can Check JEE Advanced Architecture Aptitude Test Syllabus 2015.

JEE Advanced 2015 Syllabus :

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JEE Advanced 2015 Architecture Aptitude Test AAT Syllabus:

Free Hand Drawing :

This would comprise of simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale. Common domestic or day-to-day life usable objects like furniture, equipment, etc., from memory

Geometrical Drawing :

Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles etc. Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders etc.

Three Dimensional Perception :

Understanding and appreciation of three-dimensional forms with building elements, colour, volume and orientation.Visualization through structuring objects in memory.

Imagination and aesthetic Sensitivity :

Composition exercise with given elements. Context mapping.Creativity check through innovative uncommon test with familiar objects.Sense of colour grouping or application.

Architecture Awareness :

General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain.

Source : JEE Advanced 2015 AAT Syllabus  

For More Updates on : IITs and JEE Advanced 2015 Entrance Test  

VITEEE 2015 Biology Syllabus

September 9th, 2014 No comments

VITEEE 2015 Syllabus for Biology – Vellore Institute of Technology Engineering Entrance Exam Biology Syllabus 2015 

VITEEE 2015 Biology Syllabus VIT University – VITEEE 2015 Entrance Test Biology Syllabus has been Published by Vellore Institute of Technology. All Students who are aspiring for Admission to B.Tech Engineering Programs in VIT Vellore Campus and VIT Chennai Campus are hereby informed that the VIT Authorities has Published VITEEE 2015 Syllabus. Students who are preparing to Crack VITEEE 2015 Entrance Exam and Searching for VITEEE 2015 Biology Syllabus Can check VITEEE 2015 Biology Syllabus.

Given below are the Details of VITEEE 2015 Syllabus, VITEEE 2015 Biology Main Topics and VITEEE 2015 Biology Sub Topics. Students who are interested can check VITEEE 2014 Biology Syllabus in Detail.

VITEEE 2015 Syllabus :

Click here to Check : VITEEE 2015 Syllabus  VITEEE 2015 Biology Syllabus

VITEEE 2015 Biology Syllabus :

1. Taxonomy :

Linnae an system of classification and Binomial nomenclature ; history and types of classification ; status of bacteria and viruses
;classification of angiosperms up to sub – class level (Bentham and Hooker’ systems) ; salient features of non – chordates up to
phyla levels and chordates up to class levels.

2.Evolution

Modern concepts of organic evolution, evidences of organic evolution (Fossil records and biochemical evidences). Darwinism
and neo– Darwinism, Lamarckism , Neo-Lamarckism , sources of variation, mutation, recombination, gene flow – genetic drift,
migration, natural selection. Origin and concepts of species: speciation and isolation (geographical pre-mating and post – mating or post zygotic), adaptive radiations ; human evolution.

3. Cell and Molecular Biology

Discovery of cell, cell as a contained unit, pro and eukaryotic cells and its ultra structure . Cell division : amitosis, mitosis and meiosis. The cell: cell wall, cell membrane and cell organelles (Plastids, mitochondria, endoplasmic reticulum, Golgibodies, ribosomes , lysosomes, vacuoles and centrioles)
DNA and RNA, DNA as genetic material, RNA as genetic material, replication, transcription, genetic code, translation, splicing
, gene expression and regulation, protein synthesis, DNA repair.

4. Reproduction

Reproduction in Plants : asexual and sexual re production, vegetative propagation, sexual reproduction in flowering plants, structure of flowers, pollination , fertilization, development of seeds and fruits, apomixes and polyembryony
Human reproduction and Reproductive health: reproductive system in male and female, menstrual cycles, production of gametes, fertilization, implantation, embryo development, pregnancy, parturition and lactation, Assisted reproductive technologies.

5. Genetics

Chromosomes: structure and types, linkage and crossing over, recombination of chromosomes, mutation, chromosomal aberration, Mendelian inheritance, chromosomal theory of inheritance, deviation from Mendelian ratio (gene in teraction, incomplete dominance, co- dominance, complimentary gene, multiple allelism),sex determination in humans, chromosomal disorders in humans.

6.Microbiology and Immunology 

Introduction to microbial diversity, history of medical microbiology, discovery of antibiotics, pasteurization, microscopes. Fungi, bacteria, virus, protozoa, algae– beneficial and harmful. Parasites and pathogens. Structure of microbes and diseases caused by them.Basic concepts of immunology: Innate and humoral immunity, lymphoid organs, lymph nodes and spleen, antibodies,
vaccines, transplantation immunology, immune system disorders.

7. Biochemistry

Structure and function of carbohydrates, lipids, proteins. Disaccharide, starch, glycogen, fats, cholesterol, amino acids, peptides.
Primary, Secondary and Tertiary structure of proteins. Enzymes, structured and mechanism of enzyme catalysis, specificity of enzymes, co factors an co – enzymes.

8. Physiology: Plant and Human

Plant Physiology : Movement of water, food, nutrients, gases and minerals. Respiration, photosynthesis (light and dark reactions), Factors affecting photosynthesis, electron transport chain (ETC), glycolysis, Kreb’s cycle, pentose phosphate pathway, hormones and growth regulators, Photo – periodism and vernalization.
Human Physiology: Digestion and absorption, breathing and respiration, body fluids and circulation, excretory system, endocrine
system, nervous system, skeletal and muscular systems: locomotion, and movement, growth, aging and death. Hormones ; types of hormones and its functions.

9. Biotechnology and its applications

Recombinant DNA technology, applications in health, agriculture and industries; genetically modified organisms; bio -
safety issues, insulin and Bt cotton, transgenic plants and microbes, plant tissue culture and its application ; plant growth regulators; Microbes in food processing; industrial production of microbial products, Sewage treatment, waste management and energy generation.

10. Biodiversity, ecology, and environment

Ecosystems: components, types and energy flow in ecosystem; species, population and community, ecological adaptations, centers of diversity and conservation of bio – diversity, Red data book, botanical gardens , national parks, sanctuaries and museums, environmental issues, human population explosion, green house effects, ozone layer depletion, Environmental
issues and Pollution control.

11. Applied biology and human welfare

Bio-pesticides, genetically modified foods, bio-war, bio-piracy, bio-pattern, sustainable agriculture and medicinal plants, econo
mic important plants (food crops, oil seeds, fiber yielding , sugar crops and timber yielding), bio – pharming, pesticides, organic agriculture. Population and birth control, contraception and MTP, sexually transmitted diseases, infertility, cancer and AIDS.

Adolescence and drug/or alcohol abuse.