VIT University Syllabus for Entrance Exam

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Here I am giving you syllabus for VIT Engineering Entrance Examination conducted by the VIT University for admission in engineering degree courses..

PHYSICS

Electrostatics
ElectrostaticsElectrostatics
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 a 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 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 - 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.
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 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.
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



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.


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

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.

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.
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.
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.
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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