# Syllabus

Syllabus

## (Syllabus) GATE 2011 : Examination Syllabus : (Metallurgical Engineering)

**GATE 2011 : Examination Syllabus**

## :: MT-Metallurgical Engineering ::

**ENGINEERING MATHEMATICS
**

## (Syllabus) GATE 2011 : Examination Syllabus : (Mining Engineering)

**GATE 2011 : Examination Syllabus**

## :: MN-Mining Engineering ::

**ENGINEERING MATHEMATICS**

## (Syllabus) GATE 2011 : Examination Syllabus : (Mechanical Engineering)

**GATE 2011 : Examination Syllabus**

## :: ME-Mechanical Engineering ::

**ENGINEERING MATHEMATICS**

## (Syllabus) GATE 2011 : Examination Syllabus : (Mathematics)

**GATE 2011 : Examination Syllabus**

## :: MA-Mathematics ::

**Linear Algebra: **Finite dimensional vector spaces; Linear
transformations and their matrix representations, rank; systems of

## (Syllabus) GATE 2011 : Examination Syllabus : (Information Technology)

**GATE 2011 : Examination Syllabus**

## :: IT -Information Technology ::

**ENGINEERING MATHEMATICS**

Mathematical Logic: Propositional Logic; First Order Logic.

## (Syllabus) GATE 2011 : Examination Syllabus : (Instrumentation Engineering)

**GATE 2011 : Examination Syllabus**

## :: IN-Instrumentation Engineering ::

**ENGINEERING MATHEMATICS
**

## (Syllabus) GATE 2011 : Examination Syllabus : (Geology And Geo-Physics)

**GATE 2011 : Examination Syllabus**

## :: GG-Geology And Geo-Physics ::

**PART – I**

## (Syllabus) GATE 2011 : Examination Syllabus : (Electrical Engineering)

**GATE 2011 : Examination Syllabus**

## :: EE-Electrical Engineering ::

**ENGINEERING MATHEMATICS**

## (Syllabus) GATE 2011 : Examination Syllabus : (Electronics and Communication Engineering)

**GATE 2011 : Examination Syllabus**

## :: EC-Electronics and Communication Engineering ::

**ENGINEERING MATHEMATICS**

## (Syllabus) GATE 2011 : Examination Syllabus : (Chemistry)

**GATE 2011 : Examination Syllabus**

## :: CY-Chemistry ::

**PHYSICAL CHEMISTRY**

## (Syllabus) GATE 2011 : Examination Syllabus : (Computer Science and Engineering)

**GATE 2011 : Examination Syllabus**

## :: CS-Computer Science and Engineering ::

**ENGINEERING MATHEMATICS**

**Mathematical Logic:** Propositional Logic; First Order Logic.

## (Syllabus) GATE 2011 : Examination Syllabus : (Chemical Engineering)

**GATE 2011 : Examination Syllabus**

## :: CH-Chemical Engineering ::

**ENGINEERING MATHEMATICS**

**Linear Algebra: **Matrix algebra, Systems of linear equations, Eigen
values and eigenvectors.

## (Syllabus) GATE 2011 : Examination Syllabus : (Civil Engineering)

**GATE 2011 : Examination Syllabus**

## :: CE- Civil Engineering ::

**ENGINEERING MATHEMATICS
**

## (Syllabus) GATE 2011 : Examination Syllabus : (Architecture and Planning)

**GATE 2011 : Examination Syllabus**

## :: AR-Architecture and Planning ::

## (Syllabus) GATE 2011 : Examination Syllabus : (Agricultural Engineering)

**GATE 2011 : Examination Syllabus**

## :: E AG-Agricultural Engineering ::

**ENGINEERING MATHEMATICS
**

## (Syllabus) GATE 2011 : Examination Syllabus : (Aerospace Engineering - AE)

**GATE 2011 : Examination Syllabus**

## :: Aerospace Engineering - AE ::

**ENGINEERING MATHEMATICS
**

## (Syllabus) Vellore Institute of Technology Engineering Entrance Examination (VITEEE) Mathematics Syllabus

## Vellore Institute of Technology Engineering Entrance Examination (VITEEE)

## MATHEMATICS SYLLABUS

**MATRICES AND DETERMINANTS:**

Types of matrices, addition and multiplication of matrices-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, rank method.

**THEORY OF EQUATIONS,
SEQUENCE AND SERIES**

Quadratic equations – Relation between roots and
coefficients – Nature of roots – Symmetric
functions of roots – Diminishing and Increasing
of roots – Reciprocal equations. Arithmetic,
Geometric and Harmonic Progressions-Relation
between A.M., G. M ., and H.M. Special series:
Binomial, Exponential and Logarithmic series –
Summation of Series.

**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. Lines – Equation
of a straight line passing through a given point
and parallel to a given vector, passing through
two given points, angle between two lines. Skew
lines – Shortest distance between two lines,
condition for

two lines to intersect, point of intersection,
collinearity of three points. Planes – Equation
of a plane, passing through a given point and
perpendicular to a vector, given the distance
from the origin and unit normal, passing through
a given point and parallel to two given vectors,
passing through two given points and parallel to
a given vector, 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, angle between
two given planes, angle between a line and a
plane. Sphere – Equation of the sphere whose
centre and radius are given, equation of a
sphere when the extremities of the diameter are
given.

**COMPLEX NUMBERS & TRIGONOMETRY:**

Complex number system, conjugate – properties,
ordered pair representation. Modulus –
properties, geometrical representation meaning,
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. Angle measures-

Circular function-Trigonometrical ratios of
related angles – Addition formula and their
applications – Trigonometric equations – Inverse
trigonometric functions-Properties and solutions

## (Syllabus) Vellore Institute of Technology Engineering Entrance Examination (VITEEE) Physics Syllabus

## Vellore Institute of Technology
Engineering Entrance Examination (VITEEE)

PHYSICS SYLLABUS

**ELECTROSTATICS**

Frictional electricity, 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 dipole in a uniform electric
field-application of electric dipole in microwave oven. Electric
potential – potential difference-electric potential due to a
point charge and due to a 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.

**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 –
Superconductivity (elementary ideas) – 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. Kirchoff’s law – illustration by simple circuits –
Wheatstone’s Bridge and its application for temperature coefficient of
resistance measurement – Meterbridge – Special case of Wheatstone bridge –
Potentiometer- principle – comparing the emf of two cells. Electric Power –
Chemical effect of current – Electro chemical cells – Primary (Voltaic,
Lechlanche, Daniel)-Secondary – rechargeable cell – lead acid accumulator.

**EFFECTS OF ELECTRIC CURRENT**

Heating effect – Joule’s law – Experimental verification-Thermoelectric effects
– Seebeck effect – Peltier effect – Thomson effect – Thermocouple, thermoemf,
neutral and inversion temperature-Measurement of thermo emf using potentiometer
– Thermopile. 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 to straight and Toroidal
solenoids. Force on a moving charge in uniform magnetic field and electric 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.

**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.

**ELECTROMAGNETIC WAVES AND WAVE OPTICS**

Electromagnetic waves and their characteristics – Electromagnetic
spectrum-radio, microwaves, infra-red, visible, ultraviolet, X rays, gamma rays.
Emission and Absorption spectrum – Line, Band and continuous spectra –
Fluorescence and phosphorescence. Theories of light – Corpuscular – Wave –
Electromagnetic and Quantum theories. Scattering of light – Rayleigh’s
scattering – Tyndal scattering – Raman effect – Raman spectrum – Blue colour of
the sky and reddish appearance of the sun at sunrise and sunset. 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

## (Syllabus) Vellore Institute of Technology Engineering Entrance Examination (VITEEE) Chemistry Syllabus

## Vellore Institute of Technology
Engineering Entrance Examination (VITEEE)

CHEMISTRY SYLLABUS

**d AND f-BLOCK ELEMENTS**

General Characteristics of d-block elements. Occurrence and principles of extraction: Copper, Silver and Zinc. Preparation, properties of 3 , 4 AgNO CuSO and 7 2 2 O Cr K and 4 KMnO .

Lanthanides-Introduction, oxidation state-Chemical reactivity, Lanthanide contraction, uses and brief

comparison of Lanthanides and Actinides. Nuclear energy, Nuclear fission and fusion-Radio carbon dating – Nuclear reaction in sun – Uses of radioactive Isotopes.

**COORDINATION CHEMISTRY**

Introduction – Terminology in coordination chemistry – IUPAC nomenclature of mononuclear coordination compounds – Isomerism in coordination compounds – structural isomerism – Geometrical isomerism in 4-coordinate, 6-coordinate complexes – Theories on coordination compounds – Werner’s theory (brief) – Valence Bond theory – Uses of coordination compounds – Biocoordination compounds (Haemoglobin and chlorophyll).

**SOLID STATE**

Unit cell, X-Ray crystal structure – Types of ionic crystals –
Imperfections in solids – Electrical Property – Amorphous solid
(elementary ideas only).

**THERMODYNAMICS**

I and II law of thermodynamics – Spontaneous and non spontaneous
processes – entropy – Gibb’s free energy – Free energy change
and chemical equilibrium – Third law of thermodynamics.

**CHEMICAL EQUILIBRIUM AND CHEMICAL KINETICS**

Applications of law of mass action – Le Chatlier’s principle.
Rate expression and order of a reaction, zero order, first order
and pseudo first order reaction – half life period,
determination of rate constant/order of reaction Temperature
dependence of rate constant – Arrhenius equation, activation
energy.

**ELECTROCHEMISTRY**

Theory of electrical conductance – Theory of strong electrolytes
– Faraday’s laws of electrolysis – Specific resistance, specific
conductance, equivalent and molar conductance – Variation of

## (Syllabus) Vellore Institute of Technology Engineering Entrance Examination (VITEEE) Biology Syllabus

## Vellore Institute of Technology
Engineering Entrance Examination (VITEEE)

BIOLOGY SYLLABUS

**TAXONOMY OF LIVING ORGANISMS**

Linnaeus and binomial nomenclature – history and types of classification –
status of bacteria and viruses – botanical garden and herbaria – zoological
parks and museums and economical and cultural importance – salient features of
various plant groups – classification of angiosperms up to series level (Bentham
and Hooker’s system) – salient features of nonchordates upto phylum level and
chordates up to class level.

**EVOLUTION**

Darwinism, Neo-Darwinism, Lamarkism, Neo-Lamarkism – modern concepts of natural
selection – theories and evidences of evolution (fossil record and biochemical
evidences) – sources of variation, mutation, recombination, genetic drift,
migration, natural selection – origin and concepts of species: speciation and
isolation (geographical and reproductive).

**CELL BIOLOGY**

Cell theory (Schelieden and Schwann) – Discovery of cell and cell as a self
contained unit – prokaryotic and eukaryotic cells and their ultrastructures–
unicellular and multicellular organisms – tools and techniques used in cell
biology – compound microscope and electron microscope – cell division: amitosis,
mitosis and meiosis.

**GENETICS**

Heredity and variation – Mendel’s laws of inheritance – chromosomal basis of
inheritance – linkage and crossing over – mutation and chromosomal aberration –
sex linked inheritance – Karyotyping analysis – chromosomal mapping – DNA as a
genetic material: structure, replication – RNA structure and types – genetic
diversity.

**MICROBIOLOGY AND IMMUNOLOGY**

Introduction and history of microbiology – Leeuwenhoek, Pasteur, Robert Koch,
Lister – Virology: structure, genetics, culture and diseases – bacteriology:
structure, genetics and diseases – Protozoan microbiology – pathogenecity of
microorganisms – antimicrobial resistance and chemotherapy – innate immunity –
lymphoid organs, thymus – T-cells, Bcells ; immunoglobins structure –
transplantation and types – immune system disorders.

**PLANT PHYSIOLOGY**

Morphology of root, leaf, stem, flowers and their modifications – tissue and
tissue systems – anatomy of mono and dicot roots, leaves and stems – secondary
growth – Photosynthesis: light and dark reactions, C3 and C4 plants –
Photophosphorylation: cyclic and noncyclic – photorespiration – transpiration –
types and modes of nutrition – mechanism of respiration – glycolysis – Kreb’s
cycle – anaerobic pathway – compensation point and fermentation – respiratory
quotient (RQ).

**HUMAN PHYSIOLOGY**

Nutrition: Digestion, Body-mass ratio, calorie value (ICMR standards), balanced
diet, obesity –respiration: inspiration, expiration, exchange of gases, process