JEE  >  Detailed Syllabus of VITEEE 2020: Physics, Chemistry, Mathematics, Biology and English

# Detailed Syllabus of VITEEE 2020: Physics, Chemistry, Mathematics, Biology and English - Notes - JEE

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VITEEE  - 2019 - SYLLABUS
PART  - I -  PHYSICS
1.  Laws of Motion & Work, Energy and Power
Law of conservation of linear momentum and its applications.
Static and kinetic friction - laws of friction - rolling friction -
lubrication. Work done by a constant force and a variable force;
kinetic energy - work-energy theorem - power. Conservative
forces: conservation of mechanical energy (kinetic and potential
energies) - non-conservative forces: motion in a vertical circle -
elastic and inelastic collisions in one and two dimensions.
2.  Properties of Matter
Elastic behaviour - Stress-strain relationship - Hooke's law -
Young's modulus - bulk modulus - shear modulus of rigidity
- Poisson's ratio - elastic energy. Viscosity - Stokes' law - terminal
velocity - streamline and turbulent flow - critical velocity.
Bernoulli's theorem and its applications. Heat - temperature -
thermal expansion: thermal expansion of solids - specific heat
capacity: Cp, Cv - latent heat capacity. Qualitative ideas of
Blackbody radiation: Wein's displacement Law - Stefan's law.
3.  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. 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 - Van de Graaff generator.
4.  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 - 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.
5.  Magnetic Effects of Electric Current
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 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
VITEEE - 2019
voltmeter - current loop as a magnetic dipole and its magnetic
dipole moment - Magnetic dipole moment of a revolving
electron.
6. 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.
7. 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.
Wave front and Huygens's principle - Reflection, total internal
reflection and refraction of plane wave at a plane surface using
wave fronts. Interference - Young's double slit experiment and
expression for fringe width - coherent source - interference of
light - Formation of colours in thin films - 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.
8. Dual Nature of Radiation and Atomic Physics
Electromagnetic waves and their characteristics-
Electromagnetic spectrum - Photoelectric effect - Light waves
and photons - Einstein's photoelectric equation - laws of
photoelectric emission - particle nature of light - photo cells and
their applications.
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.
9.  Nuclear Physics
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.
properties - Radioactive decay law - half life - mean life - artificial
radioactivity - radio isotopes - effects and uses - Geiger - Muller
counter. Radio carbon dating. Nuclear fission - chain reaction -
atom bomb - nuclear reactor - nuclear fusion - Hydrogen bomb -
cosmic rays - elementary particles.
10. Semiconductor Devices and their Applications
Semiconductor basics - energy band in solids: difference
between metals, insulators and semiconductors - semi
conductor doping - Intrinsic and Extrinsic semiconductors.
Formation of P-N Junction - Barrier potential and depletion layer-
Page 2

VITEEE  - 2019 - SYLLABUS
PART  - I -  PHYSICS
1.  Laws of Motion & Work, Energy and Power
Law of conservation of linear momentum and its applications.
Static and kinetic friction - laws of friction - rolling friction -
lubrication. Work done by a constant force and a variable force;
kinetic energy - work-energy theorem - power. Conservative
forces: conservation of mechanical energy (kinetic and potential
energies) - non-conservative forces: motion in a vertical circle -
elastic and inelastic collisions in one and two dimensions.
2.  Properties of Matter
Elastic behaviour - Stress-strain relationship - Hooke's law -
Young's modulus - bulk modulus - shear modulus of rigidity
- Poisson's ratio - elastic energy. Viscosity - Stokes' law - terminal
velocity - streamline and turbulent flow - critical velocity.
Bernoulli's theorem and its applications. Heat - temperature -
thermal expansion: thermal expansion of solids - specific heat
capacity: Cp, Cv - latent heat capacity. Qualitative ideas of
Blackbody radiation: Wein's displacement Law - Stefan's law.
3.  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. 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 - Van de Graaff generator.
4.  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 - 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.
5.  Magnetic Effects of Electric Current
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 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
VITEEE - 2019
voltmeter - current loop as a magnetic dipole and its magnetic
dipole moment - Magnetic dipole moment of a revolving
electron.
6. 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.
7. 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.
Wave front and Huygens's principle - Reflection, total internal
reflection and refraction of plane wave at a plane surface using
wave fronts. Interference - Young's double slit experiment and
expression for fringe width - coherent source - interference of
light - Formation of colours in thin films - 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.
8. Dual Nature of Radiation and Atomic Physics
Electromagnetic waves and their characteristics-
Electromagnetic spectrum - Photoelectric effect - Light waves
and photons - Einstein's photoelectric equation - laws of
photoelectric emission - particle nature of light - photo cells and
their applications.
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.
9.  Nuclear Physics
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.
properties - Radioactive decay law - half life - mean life - artificial
radioactivity - radio isotopes - effects and uses - Geiger - Muller
counter. Radio carbon dating. Nuclear fission - chain reaction -
atom bomb - nuclear reactor - nuclear fusion - Hydrogen bomb -
cosmic rays - elementary particles.
10. Semiconductor Devices and their Applications
Semiconductor basics - energy band in solids: difference
between metals, insulators and semiconductors - semi
conductor doping - Intrinsic and Extrinsic semiconductors.
Formation of P-N Junction - Barrier potential and depletion layer-
VITEEE - 2019
P-N Junction diode - Forward and reverse bias characteristics -
diode as a rectifier - Zener diode-Zener diode as a voltage
regulator - LED. 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 - De Morgan's theorem -
Laws and theorems of Boolean algebra.
PART - II - 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 and
absorption spectra, line and band spectra; Hydrogen spectrum -
Lyman, Balmer, Paschen, Brackett 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 and d orbitals.
2.  p,d and f  Block Elements
p-block elements - Phosphorous compounds; PCI , PCl - Oxides.
3 5
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 and
properties of CuSO , AgNO and K Cr O . Lanthanides -
4 3 2 2 7
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 and 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 pH - 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
o o o
between 1 , 2 , and 3 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 monocarboxylic acids -
formic acid - Properties - Uses. Monohydroxy mono carboxylic
acids; Lactic acid - Synthesis of lactic acid. Aliphatic dicarboxylic
acids; Preparation of oxalic and succinic acids. Aromatic acids;
Benzoic and Salicylic acids - Properties - Uses. Derivatives of
carboxylic acids; acetyl chloride (CH COCl) - Preparation -
3
Properties - Uses. Preparation of acetamide, Properties - acetic
anhydride - Preparation, Properties. Preparation of esters -
methyl acetate - Properties.
10. Organic Nitrogen Compounds and Biomolecules
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
o o o
of preparation - Properties - Distinction between 1 , 2 , and 3
amines. Aromatic amines - Synthesis of benzylamine -
Properties, Aniline - Preparation - Properties -Uses. Differences
between aliphatic and aromatic amines. Aliphatic nitriles -
Preparation  properties - Uses. Diazonium salts  Preparation of
benzene diazoniumchloride - Properties. 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.
PART - III - MATHEMATICS
1. Matrices and their Applications
Adjoint, inverse  properties, computation of inverses, solution of
system of linear equations by matrix inversion method.
Page 3

VITEEE  - 2019 - SYLLABUS
PART  - I -  PHYSICS
1.  Laws of Motion & Work, Energy and Power
Law of conservation of linear momentum and its applications.
Static and kinetic friction - laws of friction - rolling friction -
lubrication. Work done by a constant force and a variable force;
kinetic energy - work-energy theorem - power. Conservative
forces: conservation of mechanical energy (kinetic and potential
energies) - non-conservative forces: motion in a vertical circle -
elastic and inelastic collisions in one and two dimensions.
2.  Properties of Matter
Elastic behaviour - Stress-strain relationship - Hooke's law -
Young's modulus - bulk modulus - shear modulus of rigidity
- Poisson's ratio - elastic energy. Viscosity - Stokes' law - terminal
velocity - streamline and turbulent flow - critical velocity.
Bernoulli's theorem and its applications. Heat - temperature -
thermal expansion: thermal expansion of solids - specific heat
capacity: Cp, Cv - latent heat capacity. Qualitative ideas of
Blackbody radiation: Wein's displacement Law - Stefan's law.
3.  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. 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 - Van de Graaff generator.
4.  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 - 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.
5.  Magnetic Effects of Electric Current
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 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
VITEEE - 2019
voltmeter - current loop as a magnetic dipole and its magnetic
dipole moment - Magnetic dipole moment of a revolving
electron.
6. 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.
7. 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.
Wave front and Huygens's principle - Reflection, total internal
reflection and refraction of plane wave at a plane surface using
wave fronts. Interference - Young's double slit experiment and
expression for fringe width - coherent source - interference of
light - Formation of colours in thin films - 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.
8. Dual Nature of Radiation and Atomic Physics
Electromagnetic waves and their characteristics-
Electromagnetic spectrum - Photoelectric effect - Light waves
and photons - Einstein's photoelectric equation - laws of
photoelectric emission - particle nature of light - photo cells and
their applications.
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.
9.  Nuclear Physics
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.
properties - Radioactive decay law - half life - mean life - artificial
radioactivity - radio isotopes - effects and uses - Geiger - Muller
counter. Radio carbon dating. Nuclear fission - chain reaction -
atom bomb - nuclear reactor - nuclear fusion - Hydrogen bomb -
cosmic rays - elementary particles.
10. Semiconductor Devices and their Applications
Semiconductor basics - energy band in solids: difference
between metals, insulators and semiconductors - semi
conductor doping - Intrinsic and Extrinsic semiconductors.
Formation of P-N Junction - Barrier potential and depletion layer-
VITEEE - 2019
P-N Junction diode - Forward and reverse bias characteristics -
diode as a rectifier - Zener diode-Zener diode as a voltage
regulator - LED. 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 - De Morgan's theorem -
Laws and theorems of Boolean algebra.
PART - II - 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 and
absorption spectra, line and band spectra; Hydrogen spectrum -
Lyman, Balmer, Paschen, Brackett 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 and d orbitals.
2.  p,d and f  Block Elements
p-block elements - Phosphorous compounds; PCI , PCl - Oxides.
3 5
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 and
properties of CuSO , AgNO and K Cr O . Lanthanides -
4 3 2 2 7
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 and 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 pH - 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
o o o
between 1 , 2 , and 3 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 monocarboxylic acids -
formic acid - Properties - Uses. Monohydroxy mono carboxylic
acids; Lactic acid - Synthesis of lactic acid. Aliphatic dicarboxylic
acids; Preparation of oxalic and succinic acids. Aromatic acids;
Benzoic and Salicylic acids - Properties - Uses. Derivatives of
carboxylic acids; acetyl chloride (CH COCl) - Preparation -
3
Properties - Uses. Preparation of acetamide, Properties - acetic
anhydride - Preparation, Properties. Preparation of esters -
methyl acetate - Properties.
10. Organic Nitrogen Compounds and Biomolecules
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
o o o
of preparation - Properties - Distinction between 1 , 2 , and 3
amines. Aromatic amines - Synthesis of benzylamine -
Properties, Aniline - Preparation - Properties -Uses. Differences
between aliphatic and aromatic amines. Aliphatic nitriles -
Preparation  properties - Uses. Diazonium salts  Preparation of
benzene diazoniumchloride - Properties. 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.
PART - III - MATHEMATICS
1. Matrices and their Applications
Adjoint, inverse  properties, computation of inverses, solution of
system of linear equations by matrix inversion method.
VITEEE - 2019
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.
Solution of linear programming problems (LPP) in two variables.
2. Trigonometry and Complex Numbers
Definition, range, domain, principal value branch, graphs of
inverse trigonometric functions and their elementary properties.
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, and applications of dot product. 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
Limits, continuity and differentiability of functions - Derivative as
a rate of change, velocity, acceleration, related rates, derivative
as a measure of slope, tangent, normal and angle between
curves.
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.
n n
Reduction formulae - reduction formulae for ?sin x dx and ?cos
x dx , 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, linear equations and applications.
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
Functions - Relations Sequence and series (AP , GP , HP)- Binomial
theorem-Basics of counting.
Mathematical logic - logical statements, connectives, truth
Groups-binary operations, semi groups, monoids, groups, order
of a group, order of an element, properties of groups.
PART -  IV - BIOLOGY
1.Taxonomy
Need for classification; three domains of life. Linnaean,
Whittaker, Bentham and Hooker systems of classification. Salient
features and classification of non-chordates up to phyla levels
and chordates up to class levels. Morphology and anatomy of
flowering plants. Structural organization in insects(cockroach)
2. Cell and Molecular Biology
Cell theory. Prokaryotic cell and it's ultrastructure. Eukaryotic
cell- cell wall, cell membrane, cytoskeleton, nucleus, chloroplast,
mitochondria, endoplasmic reticulum, Golgi bodies, ribosomes,
lysosomes, vacuoles and centrosomes. Cell cycle and division -
amitosis, mitosis and meiosis. Search for genetic material;
structure of DNA and RNA; replication, transcription, genetic
code, translation, splicing, gene expression and regulation (lac
operon) and DNA repair.
Page 4

VITEEE  - 2019 - SYLLABUS
PART  - I -  PHYSICS
1.  Laws of Motion & Work, Energy and Power
Law of conservation of linear momentum and its applications.
Static and kinetic friction - laws of friction - rolling friction -
lubrication. Work done by a constant force and a variable force;
kinetic energy - work-energy theorem - power. Conservative
forces: conservation of mechanical energy (kinetic and potential
energies) - non-conservative forces: motion in a vertical circle -
elastic and inelastic collisions in one and two dimensions.
2.  Properties of Matter
Elastic behaviour - Stress-strain relationship - Hooke's law -
Young's modulus - bulk modulus - shear modulus of rigidity
- Poisson's ratio - elastic energy. Viscosity - Stokes' law - terminal
velocity - streamline and turbulent flow - critical velocity.
Bernoulli's theorem and its applications. Heat - temperature -
thermal expansion: thermal expansion of solids - specific heat
capacity: Cp, Cv - latent heat capacity. Qualitative ideas of
Blackbody radiation: Wein's displacement Law - Stefan's law.
3.  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. 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 - Van de Graaff generator.
4.  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 - 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.
5.  Magnetic Effects of Electric Current
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 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
VITEEE - 2019
voltmeter - current loop as a magnetic dipole and its magnetic
dipole moment - Magnetic dipole moment of a revolving
electron.
6. 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.
7. 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.
Wave front and Huygens's principle - Reflection, total internal
reflection and refraction of plane wave at a plane surface using
wave fronts. Interference - Young's double slit experiment and
expression for fringe width - coherent source - interference of
light - Formation of colours in thin films - 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.
8. Dual Nature of Radiation and Atomic Physics
Electromagnetic waves and their characteristics-
Electromagnetic spectrum - Photoelectric effect - Light waves
and photons - Einstein's photoelectric equation - laws of
photoelectric emission - particle nature of light - photo cells and
their applications.
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.
9.  Nuclear Physics
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.
properties - Radioactive decay law - half life - mean life - artificial
radioactivity - radio isotopes - effects and uses - Geiger - Muller
counter. Radio carbon dating. Nuclear fission - chain reaction -
atom bomb - nuclear reactor - nuclear fusion - Hydrogen bomb -
cosmic rays - elementary particles.
10. Semiconductor Devices and their Applications
Semiconductor basics - energy band in solids: difference
between metals, insulators and semiconductors - semi
conductor doping - Intrinsic and Extrinsic semiconductors.
Formation of P-N Junction - Barrier potential and depletion layer-
VITEEE - 2019
P-N Junction diode - Forward and reverse bias characteristics -
diode as a rectifier - Zener diode-Zener diode as a voltage
regulator - LED. 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 - De Morgan's theorem -
Laws and theorems of Boolean algebra.
PART - II - 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 and
absorption spectra, line and band spectra; Hydrogen spectrum -
Lyman, Balmer, Paschen, Brackett 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 and d orbitals.
2.  p,d and f  Block Elements
p-block elements - Phosphorous compounds; PCI , PCl - Oxides.
3 5
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 and
properties of CuSO , AgNO and K Cr O . Lanthanides -
4 3 2 2 7
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 and 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 pH - 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
o o o
between 1 , 2 , and 3 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 monocarboxylic acids -
formic acid - Properties - Uses. Monohydroxy mono carboxylic
acids; Lactic acid - Synthesis of lactic acid. Aliphatic dicarboxylic
acids; Preparation of oxalic and succinic acids. Aromatic acids;
Benzoic and Salicylic acids - Properties - Uses. Derivatives of
carboxylic acids; acetyl chloride (CH COCl) - Preparation -
3
Properties - Uses. Preparation of acetamide, Properties - acetic
anhydride - Preparation, Properties. Preparation of esters -
methyl acetate - Properties.
10. Organic Nitrogen Compounds and Biomolecules
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
o o o
of preparation - Properties - Distinction between 1 , 2 , and 3
amines. Aromatic amines - Synthesis of benzylamine -
Properties, Aniline - Preparation - Properties -Uses. Differences
between aliphatic and aromatic amines. Aliphatic nitriles -
Preparation  properties - Uses. Diazonium salts  Preparation of
benzene diazoniumchloride - Properties. 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.
PART - III - MATHEMATICS
1. Matrices and their Applications
Adjoint, inverse  properties, computation of inverses, solution of
system of linear equations by matrix inversion method.
VITEEE - 2019
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.
Solution of linear programming problems (LPP) in two variables.
2. Trigonometry and Complex Numbers
Definition, range, domain, principal value branch, graphs of
inverse trigonometric functions and their elementary properties.
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, and applications of dot product. 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
Limits, continuity and differentiability of functions - Derivative as
a rate of change, velocity, acceleration, related rates, derivative
as a measure of slope, tangent, normal and angle between
curves.
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.
n n
Reduction formulae - reduction formulae for ?sin x dx and ?cos
x dx , 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, linear equations and applications.
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
Functions - Relations Sequence and series (AP , GP , HP)- Binomial
theorem-Basics of counting.
Mathematical logic - logical statements, connectives, truth
Groups-binary operations, semi groups, monoids, groups, order
of a group, order of an element, properties of groups.
PART -  IV - BIOLOGY
1.Taxonomy
Need for classification; three domains of life. Linnaean,
Whittaker, Bentham and Hooker systems of classification. Salient
features and classification of non-chordates up to phyla levels
and chordates up to class levels. Morphology and anatomy of
flowering plants. Structural organization in insects(cockroach)
2. Cell and Molecular Biology
Cell theory. Prokaryotic cell and it's ultrastructure. Eukaryotic
cell- cell wall, cell membrane, cytoskeleton, nucleus, chloroplast,
mitochondria, endoplasmic reticulum, Golgi bodies, ribosomes,
lysosomes, vacuoles and centrosomes. Cell cycle and division -
amitosis, mitosis and meiosis. Search for genetic material;
structure of DNA and RNA; replication, transcription, genetic
code, translation, splicing, gene expression and regulation (lac
operon) and DNA repair.
VITEEE - 2019
3. Reproduction
Asexual reproduction  binary fission, sporulation, budding,
gemmule formation and fragmentation. Vegetative propagation
in plants, sexual reproduction in flowering plants and structure
of flowers. Pollination, fertilization, development of seeds and
fruits, seed dispersal, apomixis, parthenocarpy and poly-
embryony. Human reproductive system. Gametogenesis,
menstrual cycle, fertilization, implantation, embryo
development upto blastocyst formation, pregnancy, parturition
and lactation. Assisted reproductive technologies.
4. Genetics and evolution
Chromosomes - structure and types, linkage and crossing over,
recombination of chromosomes, mutation and chromosomal
aberrations. Mendelian inheritance, chromosomal theory of
inheritance, deviation from Mendelian ratio (incomplete
dominance, co-dominance, multiple allelism, pleiotrophy), sex
linked inheritance and sex determination in humans. Darwinism,
neo Darwinism, Hardy and Weinberg's principle and factors
affecting the equilibrium: selection, mutation, migration and
random genetic drift.
5. Human health and diseases
Pathogens, parasites causing human diseases (malaria, dengue,
chickengunia, filariasis, ascariasis, typhoid, pneumonia,
common cold, amoebiasis, ring worm) and their control. Basic
concepts of immunology, vaccines, antibiotics, cancer, HIV and
AIDS. Adolescence, drug and alcohol abuse.
6. Biochemistry
Structure and function of carbohydrates, lipids and proteins.
Enzymes  types, properties and enzyme action. Metabolism -
glycolysis, fermentation, Kreb's cycle and pentose phosphate
pathway.
7.  Plant physiology
Movement of water, food, nutrients, gases and minerals. Passive
diffusion, facilitated diffusion, and active transport. Imbibition,
osmosis, apoplast and symplast transport and guttation. Macro
and micronutrients and their deficiency symptoms.
Transpiration, photosynthesis (light and dark reactions) and
electron transport chain. Hormones and growth regulators,
photo-periodism and vernalization.  Nitrogen cycle and
biological nitrogen fixation.
8.  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, functions and disorders.
9.  Biotechnology and its applications
Recombinant DNA technology, applications in health, agriculture
and industries; genetically modified organisms; Human insulin,
vaccine and antibiotic production. Stem cell technology and
gene therapy. Apiculture and animal husbandry. Plant breeding,
tissue culture, single cell protein, fortification, Bt crops and
transgenic animals. Microbes in food processing, sewage
treatment, waste management and energy generation.
Biocontrol agents and biofertilizers. Bio-safety issues, biopiracy
and patents. Human and rice genome projects. DNA
fingerprinting.
10.  Biodiversity, ecology and environment
Ecosystems: components, types, pyramids, nutrient cycles
(carbon and phosphorous), ecological succession and energy
flow in an ecosystem; Biodiversity - concepts, patterns,
importance, conservation, hot spots, endangered organisms,
extinction, Red data book, botanical gardens, national parks,
sanctuaries, museums, biosphere reserves and Ramsar sites.
Environmental issues: pollution and its control. Solid and
radioactive waste management. Climate change impact and its
mitigation. Population attributes - growth, birth and death rate
and age distribution.
ENGLISH
1. Question Nos. 121 to 125 are questions on English and it will
be Multiple Choice Questions
2.Question No. 121, 122 and 123 are Comprehension questions.
They are based on short passages (30 -50  words) or lines of
poems (2 -3) or a dialogue (2 exchanges)
3.Question No. 124 and 125 are based on English Grammar and
Pronunciation.
4.The candidates should read the texts and the questions that
options given for each question.
*Please note that the passages, lines of poems, dialogues,
grammar and pronunciation items are chosen to suit the level of
VITEEE takers
```

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