ATIT is an All India admission test conducted by the federation of universities (FedUni), for students seeking admission into the BTech Program.
faculties of Science and Technology at ICFAI University, Dehradun
(IUD), ICFAI University, Jharkhand (IUJ) and ICFAI university, Tripura
(IUT) offer admission to the eligible candidates based on the scores
achieved in ATIT 2010. BTech degrees will be awarded by respective
universities to the successful students of the faculty of science and
technology within their jurisdictions
constitutes objective type questions in Mathematics, Physics, Chemistry and
English in multiple choice format for 3 hours duration. The answers have to be
marked in the specially designed OMR answer sheet, which will be provided at the
time of the admission test. There will be 50 questions in each of the core
subjects of Mathematics, Physics and Chemistry and 30 questions in English, as
per the http://www.atitindia.org/atit_sylllabus.asp
at least 50% aggregate in class 10+2 examination or its equivalent with pass in
each of Mathematics, Physics, Chemistry and English subjects are eligible to
appear for ATIT. Final year students of class 10+2 or its equivalent awaiting
examination and results may also appear.
admission into the B.Tech. Program
criteria for admission into the B.Tech. Program for all three Universities are
minimum 50% aggregate in Class 10+2 examination or its equivalent with pass in
each of the Mathematics, Physics, Chemistry and English subjects. Admission will
be offered based on scores secured in ATIT 2010/ AIEEE 2010.
should fulfill the minimum age requirements as prescribed by the respective
board through which the applicant has appeared for the qualifying examination.
If an applicant
is found ineligible for whatever reasons even after admission into the Program,
his/her admission will be cancelled. All admissions will be subject to
verification of facts from the original certificates / documents of the
students. The decision of the Admissions Committee regarding eligibility of any
applicant shall be final.
Sets, Relations and Functions :
Sets and their Representations, Union, intersection and complements of
sets, and their algebraic properties, Relations, equivalence relations,
mappings, one-one, into and onto mappings, composition of mappings.
Complex Numbers :
Complex numbers in the form a+ib and their representation in a plane.
Argand diagram. Algebra of complex numbers, Modulus and Argument (or
amplitude) of a complex number, square root of a complex number. Cube
roots of unity, triangle inequality.
Matrices and Determinants :
Determinants and matrices of order two and three, properties of
determinants, Evaluation of determinants. Area of triangles using
determinants, Addition and multiplication of matrices, adjoint and
inverse of matrix. Test of consistency and solution of simultaneous
linear equations using determinants and matrices.
Quadratic Equations :
Quadratic equations in real and complex number system and their
solutions. Relation between roots and co-efficients, nature of roots,
formation of quadratic equations with given roots; Symmetric functions
of roots, equations reducible to quadratic equations – application to
Permutations and Combinations :
Fundamental principle of counting; Permutation as an arrangement and
combination as selection, Meaning of P(n,r) and C(n,r). Simple
Mathematical Induction and its Applications
Binomial Theorem and its Applications :
Binomial Theorem for a positive integral index; general term and middle
term; Binomial Theorem for any index. Properties of Binomial
Co-efficients. Simple applications for approximations.
Sequences and Series :
Arithmetic, Geometric and Harmonic progressions. Insertion of
Arithmetic Geometric and Harmonic means between two given numbers.
Relation between A.M., G.M. and H.M.Special series: Ón, Ón2, Ón3 .
Arithmetico-Geometric Series, Exponential and Logarithmic series.
Differential Calculus :
Polynomials, rational, trigonometric, logarithmic and exponential
functions, Inverse functions. Graphs of simple functions. Limits,
Continuity; differentiation of the sum, difference, product and
quotient of two functions. differentiation of trigonometric, inverse
trigonometric, logarithmic, exponential, composite and implicit
functions; derivatives of order upto two. Applications of derivatives:
Rate of change of quantities, monotonic - increasing and decreasing
functions, Maxima and minima of functions of one variable, tangents and
normals, Rolle’s and Lagrange’s Mean Value Theorems.
Integral Calculus :
Integral as an anti-derivative. Fundamental integrals involving
algebraic, trigonometric, exponential and logarithmic functions.
Integration by substitution, by parts and by partial fractions.
Integration using trigonometric identities. Integral as limit of a sum.
Properties of definite integrals. Evaluation of definite integrals;
Determining areas of the regions bounded by simple curves.
Differential Equations :
Ordinary differential equations, their order and degree. Formation
of differential equations. Solution of differential equations by the
method of separation of variables. Solution of homogeneous and linear
differential equations, and those of the type d2y/dx2 = f(x).
Two Dimensional Geometry :
Recall of Cartesian system of rectangular co-ordinates in a plane,
distance formula, area of a triangle, condition for the collinearity of
three points and section formula, centroid and in-centre of a triangle,
locus and its equation, translation of axes, slope of a line, parallel
and perpendicular lines, intercepts of a line on the coordinate axes.
The straight line and pair of straight lines:
Various forms of equations of a line, intersection of lines, angles
between two lines, conditions for concurrence of three lines, distance
of a point from a line Equations of internal and external bisectors of
angles between two lines, coordinates of centroid, orthocentre and
circumcentre of a triangle, equation of family of lines passing through
the point of intersection of two lines, homogeneous equation of second
degree in x and y, angle between pair of lines through the origin,
combined equation of the bisectors of the angles between a pair of
lines, condition for the general second degree equation to represent a
pair of lines, point of intersection and angle between two lines.
Circles and Family of Circles :
Standard form of equation of a circle, general form of the equation of
a circle, its radius and centre, equation of a circle in the parametric
form, equation of a circle when the end points of a diameter are given,
points of intersection of a line and a circle with the centre at the
origin and condition for a line to be tangent to the circle, length of
the tangent, equation of the tangent, equation of a family of circles
through the intersection of two circles, condition for two intersecting
circles to be orthogonal.
Conic Sections :
Sections of cones, equations of conic sections (parabola, ellipse and
hyperbola) in standard forms, condition for y = mx + c to be a tangent
and point(s) of tangency.
Three Dimensional Geometry :
Coordinates of a point in space, distance between two points; Section
formula, direction ratios and direction cosines, angle between two
intersecting lines. Skew lines, the shortest distance between them and
its equation. Equations of a line and a plane in different forms;
intersection of a line and a plane, coplanar lines, equation of a
sphere, its centre and radius. Diameter form of the equation of a
Vector Algebra :
Vectors and Scalars, addition of vectors, components of a vector in two
dimensions and three dimensional space, scalar and vector products,
scalar and vector triple product. Application of vectors to plane
Measures of Central Tendency and Dispersion :
Calculation of Mean, median and mode of grouped and ungrouped data.
Calculation of standard deviation, variance and mean deviation for
grouped and ungrouped data.
Probability of an event, addition and multiplication theorems of probability and their applications;
Measurement : Units for measurement, system of units – S.I., fundamental and derived units. Dimensions and their applications.
Motion in One Dimension :
Motion in a straight line, uniform and non-uniform motion, their
graphical representation. Uniformly accelerated motion, and its
Motion in Two and Three Dimensions
and vectors, vector addition, a real number, zero vector and its
properties. Resolution of vectors. Scalar and vector products, uniform
circular motion and its applications projectile motion.
Laws of Motion :
Force and inertia – Newton ’s Laws of Motion. Conservation of linear
momentum and its applications, rocket propulsion, friction – laws of
Work, Energy and Power :
Concept of work, energy and power. Energy – kinetic and potential.
Conservation of energy and its applications, Elastic collisions in one
and two dimensions. Different forms of energy.
Rotational Motion and Moment of Inertia :
Centre of mass of a two-particle system. Centre of mass of a rigid
body, general motion of a rigid body, nature of rotational motion,
torque, angular momentum, its conservation and applications. Moment of
Inertia, parallel and perpendicular axes theorem, expression of moment
of inertia for ring, disc and sphere.
Acceleration due to gravity, one and two-dimensional motion under
gravity. Universal law of gravitation, variation in the acceleration
due to gravity of the earth. Planetary motion, Kepler’s laws,
artificial satellite – geostationary satellite, gravitational potential
energy near the surface of earth, gravitational potential and escape
Solids and Fluids :
Inter-atomic and Inter-molecular forces, states of matter. (A) Solids :
Elastic properties, Hook’s law, Young’s modulus, bulk modulus, modulus
of rigidity. (B) Liquids : Cohesion and adhesion. Surface energy and
surface tension. Flow of fluids, Bernoulli’s theorem and its
applications. Viscosity, Stoke’s Law, terminal velocity.
Periodic motion, simple harmonic motion and its equation of
motion, energy in S.H.M., Oscillations of a spring and simple pendulum.
Wave motion, speed of a wave, longitudinal and transverse waves,
superposition of waves, progressive and standing waves, free and forced
Oscillations, resonance, vibration of strings and air-columns, beats,
Heat and Thermodynamics :
Thermal expansion of solids, liquids and gases and their specific
heats, Relationship between Cp and Cv for gases, first law of
thermodynamics, thermodynamic processes. Second law of thermodynamics,
Carnot cycle, efficiency of heat engines.
Transference of Heat :
Modes of transference of heat. Thermal conductivity. Black body
radiations, Kirchoff’s Law, Wien’s law, Stefan’s law of radiation and
Newton ’s law of cooling.
Electric charge – its unit and conservation, Coulomb’s law,
dielectric constant, electric field, lines of force, field due to
dipole and its behaviour in a uniform electric field, electric flux,
Gauss’s theorem and its applications. Electric potential, potential due
to a point charge. Conductors and insulators, distribution of charge on
conductors. Capacitance, parallel plate capacitor, combination of
capacitors, energy of capacitor.
Current Electricity :
Electric current and its unit, sources of energy, cells- primary and
secondary, grouping of cells resistance of different materials,
temperature dependence, specific resistivity, Ohm’s law, Kirchoff’s
law, series and parallel circuits. Wheatstone Bridge with their
applications and potentiometer with their applications.
Thermal and Chemical Effects of Currents :
Heating effects of current, electric power, simple concept of
thermo-electricity – Seeback effect and thermocouple, Chemical effect
of current – Faraday’s laws of electrolysis.
Magnetic Effects of Currents :
Oersted’s experiment, Bio-Savert’s law, magnetic field due to straight
wire, circular loop and solenoid, force on a moving charge in a uniform
magnetic field (Lorentz force), forces and torques on currents in a
magnetic field, force between two current carrying wires, moving coil
galvanometer and conversion to ammeter and voltmeter.
Bar magnet, magnetic field, lines of force, torque on a bar magnet in a
magnetic field, earth’s magnetic field, para, dia and ferro magnetism,
magnetic induction, magnetic susceptibility.
Electromagnetic Induction and Alternating Currents :
Induced e.m.f., Faraday’s Law, Lenz’s Law, Self and Mutual
Inductance, alternating currents, impedance and reactance, power In
a.c. Circuits with L.C. And R Series Combination, resonant circuits.
Transformer and A.C. generator.
Ray Optics :
Reflection and refraction of light at plane and curved surfaces, total
internal reflection, optical fibre; deviation and dispersion of light
by a prism; Lens formula, magnification and resolving power; microscope
Wave Optics :
Wave nature of light; Interference – Young’s double slit experiment.
Diffraction - diffraction due to a single slit. Elementary idea of
waves and their characteristics, Electromagnetic wave spectrum from
gamma to radio waves – propagation of EM waves in atmosphere.
Electron and Photons :
Charge on an electron, e/m for an electron, photoelectric effect and Einstein’s equation of photoelectric effect.
Atoms, Molecules and Nuclei
- particles scattering experiment, Atomic masses, size of the nucleus;
radioactivity; Alpha, beta and gamma particles/ rays and their
properties, radioactive decay law, half life and mean life of
radio-active nuclei, binding energy,
chemistry (Precision, significant figures, SI units, Dimensional
analysis). Laws of chemical combination. Atomic Mass, Molecular Mass,
mole concept, Molar Mass, determination of Molecular formula. Chemical
equation, stoichiometry of Chemical reactions.
States of Matter :
Gaseous state, measurable properties of gases, Boyle’s Law,
Charle’s Law and absolute scale of temperature, Avogadro’s hypothesis,
ideal gas equation, Dalton’s law of partial pressures.
Kinetic molecular theory of gases (the microscopic model of gas), deviation form ideal behaviour.
solid state (classification of solids, X-ray studies of crystal
lattices and unit cells, packing of constituent particles in crystals).
Imperfection in solids, electrical, magnetic and dielectic properties
of solids. Liquid state (Properties of liquids, Vapour pressure,
Surface tension, Viscosity).
Atomic Structure : Constituents of the atom (discovery of electron, rutherford model of the atom).
structure of atoms – nature of light and electromagnetic waves, atomic
spectra, bohr’s model of hydrogen, shortcomings of the bohr model.
nature of matter and radiation. de-Broglie relation. The uncertainty
principle, Quantum Mechanical Model of the atom, Orbitals and Quantum
numbers. Shapes of orbitals. Aufbau principle, Pauli Exclusion
Principle, Hund’s Rule, Electronic Configuration of atoms.
Types of solutions, Units of concentration, Vapour-pressure of
solutions and Raoult’s law. Colligative properties. Determination of
molecular mass. Non-ideal solutions and abnormal molecular masses.
Volumetric analysis-concentration unit.
Chemical Energetics and Thermodynamics :
Energy changes during a chemical reaction, Internal energy and
Enthalpy, Internal energy and Enthalpy changes, Origin of Enthalpy
change in a reaction, Hess’s Law of constant heat summation, numericals
based on these concepts. Enthalpies of reactions(Enthalpy of
neutralization, Enthalpy of combustion, Enthalpy of fusion and
Sources of energy (conservation of energy sources and identification of alternative sources, pollution associated with
consumption of fuels. The sun as the primary source).
First law of thermodynamics; Relation between Internal energy and Enthalpy, application of first law of thermodynamics.
Second law of thermodynamics :
Entropy, Gibbs energy, Spontaneity of a chemical reaction, Gibbs
energy change and chemical equilibrium, Gibbs energy available for
Chemical Equilibrium :
Equilibria involving physical changes (solid-liquid, liquid-gas
equilibrium involving dissolution of solids in liquids, gases in
liquids, general characteristics of equilibrium involving physical
involving chemical systems (the law of chemical equilibrium, the
magnitude of the equilibrium constant, numerical problems).
of changing conditions of systems at equilibrium (change of
concentration, change of temperature, effect of catalyst-Le Chateliar’s
involving ions — ionization of electrolytes, weak and strong
electrolytes, acid-base equilibrium, various concepts of acids and
bases, ionization of water, pH scale, solubility product, numericals
based on these concepts.
Redox Reactions and Electrochemistry :
Oxidation and reduction as an electron transfer concept. Redox
reactions in aqueous solutions-electrochemical cells. EMF of a galvanic
cell. Dependence of EMF on concentration and temperature (NERNST
equation and numerical problems based on it). Electrolysis, Oxidation
number (rules for assigning oxidation number, redox reactions in terms
of oxidation number, nomenclature). Balancing of oxidation-reduction
conduction. Molar conductivity, Kohlrausch’s Law and its applications,
Voltaic cell, Electrode potential and Electromotive force, Gibb’s
energy change and cell potential. Electrode potential and products of
electrolysis, Fuel cells,
corrosion and its prevention.
Rates of Chemical Reactions and Chemical Kinetics :
Rate of reaction, Instantaneous rate of reaction and order of reaction.
Factors affecting rates of reactions - factors affecting rate of
collisions encountered between the reactant molecules, effect of
temperature on the reaction rate, concept of activation energy,
catalyst. Effect of light on rates of reactions. Elementary reactions
as steps to more complex reactions. How fast are chemical reactions?
law expression. Order of a reaction (with suitable examples). Units of
rates and specific rate constants. Order of reaction and effect of
concentration (study will be confined to first order only). Temperature
dependence of rate constant – Fast reactions (only elementary idea).
Mechanism of reaction (only elementary idea). Photochemical reactions.
Surface Chemistry :
Surfaces : Adsorption – Physical and chemical adsorption, adsorption
isotherms Colloids – Preparation and general properties, Emulsions,
Micelles Catalysis : Homogeneous and heterogeneous, structure of
catalyst, Enzymes, Zeolites.
Chemical Families – Periodic Properties :
Modern periodic law, Types of elements – Representative elements
(s & p block), Transition elements –d-block elements, inner
transition elements – f-block elements). Periodic trends in properties
– ionization enthalpy, electron gain enthalpy, atomic radii, valence,
periodicity in properties of compounds).
Chemical Bonding and Molecular Structure :
Chemical bonds and Lewis structure, shapes of molecules (VSEPR theory).
Quantum theory of the covalent bond, hydrogen and some other simple
molecules, carbon compounds, hybridization, Boron and Beryllium
covalent bond, ionic bond as an extreme case of polar covalent b
Reading Comprehension, Diction,
Formation of Effective Sentences, Sentence Completion, Vocabulary, Common
Test Centers and Codes for
Computer Science and Engineering
Electronics and Communications Engineering
Electrical and Electronics Engineering