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28th October 2014, 10:09 AM
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Join Date: Apr 2013
Re: Required Rank for admission in VIT

VIT Engineering Entrance Exam (VITEEE) is conducted by Vellore Institute of Technology for admission in various branches of engineering. The last year cut-off given by VIT is about 9000 or below.

If you get 9000 or less rank then you are eligible to get admission in VIT are sure to get and if you get rank between 9000 and 10000, you will be in waiting list of admission.

Now I am giving you PDF’s for syllabus of all subjects of VITEEE 2015.

VITEEE Syllabus of Mathematics

1. Applications of Matrices and Determinants
Adjoint, inverse – properties, computation of inverses, solution of system of linear equations by
matrix inversion method.
Rank of a matrix – elementary transformation on a matrix, consistency of a system of linear
equations, Cramer’s rule, non-homogeneous equations, homogeneous linear system and rank
method.

2. Complex Numbers
Complex number system - conjugate, properties, ordered pair representation.
Modulus – properties, geometrical representation, polar form, principal value, conjugate, sum,
difference, product, quotient, vector interpretation, solutions of polynomial equations, De
Moivre’s theorem and its applications.
Roots of a complex number - nth roots, cube roots, fourth roots.


3. Analytical Geometry of two dimensions
Definition of a conic – general equation of a conic, classification with respect to the general
equation of a conic, classification of conics with respect to eccentricity.
Equations of conic sections (parabola, ellipse and hyperbola) in standard forms and general
forms- Directrix, Focus and Latus rectum - parametric form of conics and chords. - Tangents
and normals – cartesian form and parametric form- equation of chord of contact of tangents
from a point (x1 ,y1 ) to all the above said curves.
Asymptotes, Rectangular hyperbola – Standard equation of a rectangular hyperbola.


4. Vector Algebra
Scalar Product – angle between two vectors, properties of scalar product, applications of dot
products. vector product, right handed and left handed systems, properties of vector product,
applications of cross product.
Product of three vectors – Scalar triple product, properties of scalar triple product, vector triple
product, vector product of four vectors, scalar product of four vectors.


5. Analytical Geometry of Three Dimensions
Direction cosines – direction ratios - equation of a straight line passing through a given point
and parallel to a given line, passing through two given points, angle between two lines.
Planes – equation of a plane, passing through a given point and perpendicular to a line, given
the distance from the origin and unit normal, passing through a given point and parallel to two
given lines, passing through two given points and parallel to a given line, passing through three
given non-collinear points, passing through the line of intersection of two given planes, the
distance between a point and a plane, the plane which contains two given lines (co-planar
lines), angle between a line and a plane.
Skew lines - shortest distance between two lines, condition for two lines to intersect, point of
intersection, collinearity of three points.
Sphere – equation of the sphere whose centre and radius are given, equation of a sphere when
the extremities of the diameter are given.


6. Differential Calculus
Derivative as a rate measurer - rate of change, velocity, acceleration, related rates, derivative as
a measure of slope, tangent, normal and angle between curves, maxima and minima.
Mean value theorem - Rolle’s Theorem, Lagrange Mean Value Theorem, Taylor’s and
Maclaurin’s series, L’ Hospital’s Rule, stationary points, increasing, decreasing, maxima,
minima, concavity, convexity and points of inflexion.
Errors and approximations – absolute, relative, percentage errors - curve tracing, partial
derivatives, Euler’s theorem.


7. Integral Calculus and its Applications
Simple definite integrals – fundamental theorems of calculus, properties of definite integrals.
Reduction formulae – reduction formulae for  dx x n sin and  dx x n cos , Bernoulli’s formula.
Area of bounded regions, length of the curve.


8. Differential Equations
Differential equations - formation of differential equations, order and degree, solving differential
equations (1st order), variables separable, homogeneous and linear equations.
Second order linear differential equations - second order linear differential equations with
constant co-efficients, finding the particular integral if f (x) = emx, sin mx, cos mx, x, x2.


9. Probability Distributions
Probability – Axioms – Addition law - Conditional probability – Multiplicative law - Baye’s
Theorem - Random variable - probability density function, distribution function, mathematical
expectation, variance
Theoretical distributions - discrete distributions, Binomial, Poisson distributions- Continuous
distributions, Normal distribution.

10. Discrete Mathematics
Mathematical logic – logical statements, connectives, truth tables, logical equivalence,
tautology, contradiction.
Groups-binary operations, semigroups, monoids, groups, order of a group, order of an element,
properties of groups.



VITEEE Syllabus of Physics

1. Electrostatics
Charges and their conservation; Coulomb’s law-forces between two point electric charges - Forces between
multiple electric charges-superposition principle.
Electric field – electric field due to a point charge, electric field lines; electric dipole, electric field intensity due to
a dipole - behaviour of a dipole in a uniform electric field.
Electric potential - potential difference-electric potential due to a point charge and dipole-equipotential surfaces
– electrical potential energy of a system of two point charges.
Electric flux-Gauss’s theorem and its applications to find field due to (i) infinitely long straight wire (ii) uniformly
charged infinite plane sheet (iii) two parallel sheets and (iv) uniformly charged thin spherical shell (inside and
outside)
Electrostatic induction-capacitor and capacitance – dielectric and electric polarisation – parallel plate capacitor
with and without dielectric medium – applications of capacitor – energy stored in a capacitor - Capacitors in
series and in parallel – action of points – Lightning arrester – Van de Graaff generator.

2. Current Electricity
Electric Current – flow of charges in a metallic conductor – drift velocity and mobility and their relation with
electric current.
Ohm’s law, electrical resistance - V-I characteristics – electrical resistivity and conductivity-classification of
materials in terms of conductivity – Carbon resistors – colour code for carbon resistors - combination of
resistors – series and parallel – temperature dependence of resistance – internal resistance of a cell – potential
difference and emf of a cell - combinations of cells in series and in parallel.
Kirchoff’s law – illustration by simple circuits – Wheatstone’s Bridge and its application for temperature
coefficient of resistance measurement - Metrebridge - special case of Wheatstone bridge - Potentiometer
principle - comparing the emf of two cells.

3. Magnetic Effects of Electric Current and Magnetism
Magnetic effect of electric current – Concept of magnetic field - Oersted’s experiment – Biot-Savart law-Magnetic
field due to an infinitely long current carrying straight wire and circular coil – Tangent galvanometer –
construction and working – Bar magnet as an equivalent solenoid – magnetic field lines.
Ampere’s circuital law and its application.
Force on a moving charge in uniform magnetic field and electic field – cyclotron – Force on current carrying
conductor in a uniform magnetic field – Forces between two parallel current carrying conductors - definition of
ampere.
Torque experienced by a current loop in a uniform magnetic field - moving coil galvanometer – conversion to
ammeter and voltmeter – current loop as a magnetic dipole and its magnetic dipole moment - Magnetic dipole
moment of a revolving electron.
Para, dia and ferro-magnetic substances with examples – Electromagnets – Permanent Magnets


4. Electromagnetic Induction and Alternating Current
Electromagnetic induction - Faraday’s law - induced emf and current - Lenz’s law.
Self induction - Mutual induction - self inductance of a long solenoid - mutual inductance of two long solenoids.
Methods of inducing emf - (i) by changing magnetic induction (ii) by changing area enclosed by the coil and
(iii) by changing the orientation of the coil (quantitative treatment).
AC generator - commercial generator. (Single phase, three phase).
Eddy current - applications - transformer - long distance transmission.
Alternating current - measurement of AC-AC circuit with resistance - AC circuit with inductor - AC circuit with
capacitor - LCR series circuit - Resonance and Q - factor - power in AC circuits.


5. Optics
Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection and its
applications, optical fibers, refraction at spherical surfaces, lenses, thin lens formula, lens maker’s formula.
Magnification, power of a lens, combination of thin lenses in contact, combination of a lens and a mirror.
Refraction and dispersion of light through a prism.
Scattering of light-blue colour of sky and reddish appearances of the sun at sunrise and sunset.


6. Electromagnetic Waves and Wave Optics
Electromagnetic waves and their characteristics - Electromagnetic spectrum-radio, microwaves, infra-red,
visible, ultra-violet, X rays, gamma rays.
Wavefront and Huygens’s principle - Reflection, total internal reflection and refraction of plane wave at a plane
surface using wavefronts.
Interference - Young’s double slit experiment and expression for fringe width - coherent source - interference of
light-Formation of colours in thin films - analytical treatment - Newton’s rings.
Diffraction - differences between interference and diffraction of light- diffraction grating.
Polarisation of light waves - polarisation by reflection - Brewster’s law - double refraction - nicol prism - uses of
plane polarised light and Polaroids - rotatory polarisation - polarimeter.


7. Atomic and Nuclear Physics
Atomic structure – discovery of the electron – specific charge (Thomson’s method) and charge of the electron
(Millikan’s oil drop method) – alpha scattering – Rutherford’s atom model.
Bohr’s model – energy quantization – energy and wave number expressions – Hydrogen spectrum – energy level
diagrams – sodium and mercury spectra – excitation and ionization potentials.
Nuclear properties - nuclear radii, masses, binding energy, density, charge - isotopes, isobars and isotones -
nuclear mass defect - binding energy - stability of nuclei - Bainbridge mass spectrometer.
Nature of nuclear forces - Neutron - discovery - properties - artificial transmutation - particle accelerator.
Radioactivity - alpha, beta and gamma radiations and their properties- -decay, β -decay and -decay -
Radioactive decay law - half life - mean life - artificial radioactivity - radio isotopes - effects and uses - Geiger -
Muller counter.
Radio carbon dating - biological radiation hazards.
Nuclear fission - chain reaction - atom bomb - nuclear reactor - nuclear fusion - Hydrogen bomb - cosmic rays -
elementary particles.


8. Dual Nature of Radiation and Matter
Photoelectric effect - Light waves and photons - Einstein’s photoelectric equation - laws of photoelectric emission
- particle nature of light - photo cells and their applications.
Matter waves - wave nature of particles – de Broglie relation – de Broglie wavelength of an electron –Davisson
Germer experiment – electron microscope


9. Semiconductor Devices and their Applications
Semiconductor theory - energy band in solids (Qualitative ideas only) - difference between metals, insulators
and semiconductors based on band theory - semiconductor doping - Intrinsic and Extrinsic semiconductors.
Formation of P-N Junction - Barrier potential and depletion layer-P-N Junction diode - Forward and reverse bias
characteristics - diode as a rectifier - Zener diode-Zener diode as a voltage regulator - LED - seven segment
display - LCD.
Junction transistors - characteristics - transistor as a switch - transistor as an amplifier - transistor as an
oscillator .
Logic gates - NOT, OR, AND, EXOR using discrete components - NAND and NOR gates as universal gates -Laws
and theorems of Boolean algebra



VITEEE Syllabus of Chemistry

1. Atomic Structure:
Bohr’s atomic model-Sommerfeld’s extension of atomic structure; Electronic configuration and
Quantum numbers; Shapes of s,p,d,f orbitals - Pauli’s exclusion principle - Hund’s Rule of
maximum multiplicity- Aufbau principle. Emission spectrum, absorption spectrum, line spectra
and band spectra; Hydrogen spectrum – Lyman, Balmer, Paschen, Brakett and Pfund series;
deBroglie’s theory; Heisenberg’s uncertainty principle – wave nature of electron – Schrodinger
wave equation (No derivation). Eigen values and eigen functions. Hybridization of atomic orbitals
involving s,p,d orbitals.

2. p,d and f – Block Elements:
p-block elements – Phosphorous compounds; PCl3, PCl5 – Oxides. Hydrogen halides, Inter
halogen compounds. Xenon fluoride compounds. General Characteristics of d – block
elements – Electronic Configuration – Oxidation states of first row transition elements and
their colours. Occurrence and principles of extraction: Copper, Silver, Gold and Zinc.
Preparation, properties of CuSO4, AgNO3 and K2Cr2O7.
Lanthanides – Introduction, electronic configuration, general characteristics, oxidation state –
lanthanide contraction, uses, brief comparison of Lanthanides and Actinides.

3. Coordination Chemistry and Solid State Chemistry
Introduction – Terminology in coordination chemistry – IUPAC nomenclature of mononuclear
coordination compounds. Isomerism, Geometrical isomerism in 4-coordinate, 6-coordinate
complexes. Theories on coordination compounds – Werner’s theory (brief), Valence Bond
theory. Uses of coordination compounds. Bioinorganic compounds (Haemoglobin and
chlorophyll).
Lattice – unit cell, systems, types of crystals, packing in solids; Ionic crystals – Imperfections
in solids – point defects. X-Ray diffraction – Electrical Property, Amorphous solids (elementary
ideas only).

4. Thermodynamics, Chemical Equilibrium and Chemical Kinetics
I and II law of thermodynamics – spontaneous and non spontaneous processes, entropy,
Gibb’s free energy – Free energy change and chemical equilibrium – significance of entropy.
Law of mass action – Le Chatlier’s principle, applications of chemical equilibrium. Rate
expression, order and molecularity of reactions, zero order, first order and pseudo first order
reaction – half life period. Determination of rate constant and order of reaction . Temperature
dependence of rate constant – Arrhenius equation, activation energy.


5. Electrochemistry
Theory of electrical conductance; metallic and electrolytic conductance. Faraday’s laws –
theory of strong electrolytes – Specific resistance, specific conductance, equivalent and molar
conductance – Variation of conductance with dilution – Kohlrausch’s Law – Ionic product of
water, pH and pOH – buffer solutions – use of pH values. Cells – Electrodes and electrode
potentials – construction of cell and EMF values, Fuel cells, Corrosion and its prevention.


6. Isomerism in Organic Compounds
Definition, Classification – structural isomerism, stereo isomerism – geometrical and optical
isomerism. Optical activity- chirality – compounds containing chiral centres – R – S notation,
D – L notation.


7. Alcohols and Ethers
Nomenclature of alcohols – Classification of alcohols - distinction between 10, 20 and 30
alcohols – General methods of preparation of primary alcohols, properties. Methods of
preparation of dihydric alcohols: Glycol – Properties – Uses. Methods of preparation of
trihydric alcohols - Properties – Uses. Aromatic alcohols – preparation and properties of
phenols and benzyl alcohol.
Ethers – Nomenclature of ethers – general methods of preparation of aliphatic ethers -
Properties – Uses. Aromatic ethers – Preparation of Anisole – Uses.


8. Carbonyl Compounds
Nomenclature of carbonyl compounds – Comparison of aldehydes and ketones. General
methods of preparation of aldehydes – Properties – Uses. Aromatic aldehydes – Preparation of
benzaldehyde – Properties and Uses. Ketones – general methods of preparation of aliphatic
ketones (acetone) – Properties – Uses. Aromatic ketones – preparation of acetophenone –
Properties – Uses, preparation of benzophenone – Properties. Name reactions; Clemmenson
reduction, Wolff – Kishner reduction, Cannizzaro reaction, Claisen Schmidt reaction, Benzoin
Condensation, aldol Condensation. Preparation and applications of Grignard reagents.


9. Carboxylic Acids and their derivatives
Nomenclature – Preparation of aliphatic monobarboxylic acids – formic acid – Properties –
Uses. Monohydroxy mono carboxylic acids; Lactic acid – Synthesis of lactic acid. Aliphatic
dicarboxylic acids; Preparation of oxalic and succinic acid. Aromatic acids; Benzoic and
Salicylic acid – Properties – Uses. Derivatives of carboxylic acids; acetyl chloride (CH3COCl) –
Preparation – Properties – Uses. Preparation of acetamide, Properties – acetic anhydride –
Preparation, Properties. Preparation of esters – methyl acetate – Properties.


10. Organic Nitrogen Compounds
Aliphatic nitro compounds – Preparation of aliphatic nitroalkanes – Properties – Uses.
Aromatic nitro compounds – Preparation – Properties – Uses. Distinction between aliphatic
and aromatic nitro compounds. Amines; aliphatic amines – General methods of preparation –
Properties – Distinction between 10, 20 and 30 amines. Aromatic amines – Synthesis of
benzylamine – Properties, Aniline – Preparation – Properties – Uses. Distinction between
aliphatic and aromatic amine. Aliphatic nitriles – Preparation – properties – Uses. Diazonium
salts – Preparation of benzene diazoniumchloride – Properties.


11. Biomolecules
Carbohydrates – distinction between sugars and non sugars, structural formulae of glucose,
fructose and sucrose, with their linkages, invert sugar – definition, examples of oligo and
polysaccharides,
Amino acids – classification with examples, Peptides-properties of peptide bond,
Lipids - Definition, classification with examples, difference between fats, oils and waxes.


VITEEE Syllabus of Biology

1. Taxonomy
Linnaean 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, Golgi bodies, 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 reproduction, vegetative propagation, sexual
reproduction in flowering plants, structure of flowers, pollination , fertilization, development of
seeds and fruits, apomixes and poly-embryony
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 interaction, incomplete dominance, co-dominance,
complimentary gene, multiple allelism), sex determination in humans, chromosomal disorders
in humans.


6. Microbiology and Immunology
I
ntroduction 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, economic 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.


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