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Kalinga Institute of Industrial Technology Entrance Exam [KIITEE] 2017

Exam Description:

About KIITEE 2017:
Kalinga Institute of Industrial Technology, Bhubaneswar conducts the KIITEE entrance examination test for admission to bachelor level and master level courses. The Institute also has Ph.D. courses.
The KIITEE examination is conducted every year in April. The KIITEE exam is an online entrance exam which is conducted across 60 KIITEE test centres which is spread across various states across the country. The KIITEE examination enables candidates to seek admissions for Bachelor's programmes. All candidates who satisfy the KIITEE eligibility criteria can apply for the KIITEE computer based online examination. The KIITEE result is followed by counseling sessions for the candidates after the KIITEE exam.  At present over 20,000 students are studying in different courses in the University. A window of 3-4 months is given to complete the application process for KIITEE 2017. The official notification for KIITEE 2017 and relevant dates regarding KIITEE 2017 will be published on the second week of November . Eligible candidates must apply for KIITEE 2017 before the required timeline in order to write the KIITEE 2017 examinations. Form submission for the KIITEE 2017 will end by March 2017. Eligible candidates must follow the guidelines of the KIITEE examination 2017 in order to obtain a seat in KIIT on merit.
Courses offered:
Eligible candidates can select the following courses after completion of KIITEE 2017.

  • Engineering
  • Bio Technology
  • Management
  • Medicine
  • Law
  • Computer Application
  • Sculpturing
  • Fashion
  • Film and Journalism
  • Rural Management
  • Candidates seeking addmissions at KIIT University through KIITEE 2017 need to be aware of the exam dates before the KIITEE Examination 2017.

Date of Examination 14 April 2017
Time of Examination 4:05 PM
Examination Fees Rs.1000
Eligibility

B.Tech

4 years

  • Candidates who have passed 10+2 examination in 2014, 2015 or appearing in 10+2 examination in 2016 are only eligible to apply
  • Should have studied in regular full time formal education in their schooling / college.
  • Passed 10 +2 or its equivalent with at least 60% marks in Physics, Chemistry and Mathematics taken together are only eligible.
  • Should be born on or after 01.07.1995 to be eligible .

B.Tech + M.Tech (Dual Degree)

4 years

  • Candidates who have passed 10+2 examination in 2014,201 5 or appearing in 10+2 examination in 2016 are only eligible to apply
  • Should have studied in regular full time formal education in their schooling / college to be eligible.
  • Passed 10 +2 or its equivalent with at least 60% marks in Physics, Chemistry and Mathematics taken together will be valued for eligibility.
  • Passed 10+2 or equivalent with at least 60% marks in Physics, Chemistry and Mathematics/Biology/Biotechnology taken together.
  • Should have been born on or after 01.07.1995 for eligibility.

B.C.A

3 years

  •  Passed 10+2 in any stream with at least 50% marks and having Mathematics as one of the subjects in 10+2 level is required for eligibility.
  • Should have been born on or after 01.07.1995.

B.DES

4 years

  • Passed 10+2 in any stream with 50% marks in aggregate is required for eligibility.
  • Should have been born on or after 01.07.1995 to be considered eligible

B.Tech + M.B.A

6 years

  • Candidates who have passed 10+2 examination in 2014, 2015 or appearing in 10+2 examination in 2016 are only eligible to apply
  • Should have studied in regular full time formal education in their schooling / college.
  • Passed 10 +2 or its equivalent with at least 60% marks in Physics, Chemistry and Mathematics taken together.
  • Should be born on or after 01.07.1995.

B.Sc (Nursing)

4 years

  • Passed 10+2 or equivalent examination with Physics, Chemistry & Biology and English (PCBE) with at least 45% marks in aggregate.
  •  Age: Lower age should be 17 years as on 31.12.16 & upper age limit should be maximum 35 years as on 31.12.16

B.B.A

3 years

  •  Passed 10+2 in any stream with at least 50% marks and having Mathematics / Business Mathematics / Economics / Statistics as one of the subjects in 10+2 level to be eligible.
  • Should have been born on or after 01.07.1995

Integrated Master of Mass Communication

5 years

  • Passed 10+2 in any stream with 50% marks in aggregate to be eligible.
  •  Should have been born on or after 01.07.1995

B.D.S/M.B.B.S

4 years

  • 10+2 pass with Physics, Chemistry, Biology & English with at least 50% marks in Physics, Chemistry & Biology taken together for general category candidates and 40% marks in Physics, Chemistry & Biology taken together for SC/ST Candidates.
  • Age: Lower age should be 17 years as on 31.12.16 & upper age limit should be maximum 25 years as on 31.12.16. The upper age limit may be relaxed by five years for SC/ST candidates.

B.Tech (L.E)

3 years

  • A pass qualification in three years diploma course in Engineering with at least 60% marks in aggregate from State Council of Technical Education of any state or its equivalent.
  • Candidate should have been born on or after 01.07.1992

B.Tech in Architecture

4 years

  • A pass qualification in (10+2) examination from a recognized board or its equivalent subject to securing 60% marks in aggregate with mathematics as a subject at the higher secondary level and a pass in the National Aptitude Test in Architecture (NATA) conducted by the Council of Architecture (CoA), New Delhi either in 2015 or 2016.
  •  Should have been born on or after 01.07.1995

B.A. L.L.B/ B.Sc. L.L.B/ B.B.A. L.L.B

5 years

  • 10+2 pass or equivalent in any stream with at least 45% marks. For B.Sc. LL.B candidates should have passed 10+2 or equivalent in the science stream with at least 45% marks
  • Age: Not completed 21 years of age as on 01.07.16

Bachelor of Film and Television Production

3 years

  • A pass qualification in 10+2 in any stream with 50% marks in aggregate are eligible.
  • Should have been born on or after 01.07.1995 to be eligible
Starting date of registration 10 December 2016
Last date of registration 25 March 2017
Syllabus
PHYSIC:
Unit 1: Units and MeasurementUnits for measurement, system of unitsS.I.,
fundamental and derived units.Dimensions and their applications.
Unit 2: Description of Motion in One Dimension Motion in a straight line, uniform and non-uniform motion, their graphical
representation. Uniformly accelerated  motion, and its application.
Unit 3: Description of Motion in Two and Three Dimensions
Scalars 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.
Unit 4: Laws of Motion Force and inertia-Newton’s Laws of
Motion. Conservation of linear momentum and its applications, rocket
propulsion, fricti  
Unit5: 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 ofenergy.
Unit 6: 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.
Unit 7:- Gravitation Acceleration due to gravity, one and twodimensional
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,on-laws of friction. 
Unit 8: 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.
Unit 9: Oscillations Periodic motion, simple harmonic motion  and its equation of motion, energy in S.H.M., Oscillations of a spring and simple
pendulum.
Unit 10: Waves 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, Doppler effects. 
Unit 11: 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.
Unit 12: 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
 Unit 13: Electrostatics 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.
Unit 14: 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.
Unit 15 : Thermal and Chemical Effects of Currents Heating effects of current, electric power, simple concept of thermo-electricitySeeback effect and thermocouple, Chemical effect of current-Faraday’s laws of electrolysis. Unit 
Unit 16: Magnetic Effects of Currents Oersted’s experiment, Bio-Savert’s law, magnetic filed due to straight wire, circular loop and solenoid, force on a moving charge in a uniform magnetic field ( Lorentz force), force and torques on currents in a magnetic field, force between two current carrying wires, moving coil galvanometer and conversion to ammeter and voltmeter.
Unit 17: Magneto statics 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.
Unit 18: 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.
Unit 19: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 and telescope.
Unit 20: Wave Optics Wave nature of light; InterferenceYoung’s double slit experiment. Diffraction-diffraction due to a single slit. Elementary idea of polarization.
Unit 21: Electromagnetic Waves Electromagnetic waves and their characteristics, Electromagnetic wave spectrum from gamma to radio wavespropagation of EM waves in atmosphere.
Unit 22: Electron and Photons Charge on an electron, e/m for an electron, photoelectric effect and Einstein’s equation of photoelectric effect.
Unit 23: Atoms, Molecules and Nuclei Alpha 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, mass energy relationship, nuclear fission and nuclear fusion.
Unit 24: Solids and Semi-Conductors Devices Energy bands in solids, conductors, insulators and semi-conductors, pn junction, diodes, diode as rectifier, transistor action, transistor as an amplifier. 
CHEMISTRY
Unit 1: Some Basic Concepts: Measurement in chemistry (Precision, significant figures, S.I. 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.
Unit 2 : 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. The solid state ( classification of solids, Xray 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).  
Unit 3: Atomic Structure Constituents of the atom (discovery of electron, rutherford model of the atom). Electronics structure of atoms-nature of light and electromagnetic waves, atomic spectra, bohr’s model of hydrogen, shortcomings of the bohr model. Dual nature of matter and radiation. deBroglie 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, Electronics Configuration of atoms.
Unit 4: Solutions 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.
Unit 5: 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 vaporization). 
Unit 6: 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 processes) Equilibria involving chemical systems (the law of chemical equilibrium, the magnitude of the equilibrium constant, numerical problems). Effect of changing conditions of systems at equilibrium (change of concentration, change of temperature, effect of catalystLe Chateliar’s principle). Equilibria involving ions- ionization of electrolytes, weak and strong electrolytes, acid-base equilibrium, various concepts of  
Unit 7: Redox Reactions and Electrochemistry Oxidation and reduction as an electron transfer concept. Redox reactions in aqueous solutions- electrochemical cells. e.m.f. of a galvanic cell. Dependence of e.m.f. 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 oxidationreduction equations. Electrolytic 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.
Unit 8: 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 of rates of reactions. Elementary reactions as steps to more complex reactions. How fast are chemical reactions? Rate law expression. Order of a reaction (with suitable examples).Units of rates and specific rate constant. 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.
Unit 9: Surface Chemistry Surface : Adsorption – physical and chemical adsorption, adsorption isotherms. Colloids-Preparation and general properties, Emulsions, Micelles. Catalysis : Homogeneous and heterogeneous, structure of catalyst, Enzymes, Zeolites.
Unit 10: Chemical Families Periodic Properties Modern periodic law, Types of elements – Representatives elements ( s & p block, Transition elements – d-block elements, inner transition elements-f-block elements. Periodic trends in propertiesionization enthalpy, electron gain enthalpy, atomic radii, valence, periodicity in properties of compounds).
Unit 11: 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 compounds. Coordinate covalent bond, ionic bond as an extreme case of polar covalent bond, ionic character of molecules and polar molecules. Bonding in solid state ionic, molecular and covalent solids, metals. Hydrogen bond, Resonance. Molecules : Molecular orbital. Theorybond order and magnetic properties of H2,O2,N2,F2 on the basis of MOT. Hybridisation involving s, p and d orbitals (including shapes of simple organic molecules), Dipole moment and structure of molecules.
Unit 12: Chemistry of Non-Metals - 1 Hydrogen (unique position in periodic table, occurrence, isotopes, properties, reactions and uses), Hydrides-molecular, soline and interstitial Oxygen (occurrence, preparation, properties and reactions, uses),simple oxides; ozone Water and hydrogen peroxide, structure of water molecule and its aggregates, physical and chemical properties of water, hard and soft water, water softening, hydrogen peroxidepreparation, properties, structure and uses. Nitrogen- Preparation, properties, uses, compounds of Nitrogen-Ammonia, Oxides of Nitrogen, Nitric Acid-preparation, properties and uses.  
Unit 13: Chemistry of Non-metals-II Boron-occurrence, isolation, physical and chemical properties, borax and boric acid, uses of boron and its compounds. Carbon, inorganic compounds of carbonoxides, halides, carbides, elemental carbon. Silicon- occurrence, preparation and properties, oxides and oxyacids of phosphorus, chemical fertilizers. Sulphur – occurrence and extraction, properties and reactions, oxides, Sulphuric acid –preparation, properties and uses, sodium thiosulphate. Halogens- occurrence, preparation, properties, hydrogen halides, uses of halogens. Noble gases- discovery, occurrence and isolation, physical properties, chemistry of noble gases and their uses.
Unit 14: Chemistry of Lighter Metals Sodium and Potassium- occurrence and extraction, properties and uses. Important compounds-NaCl, Na2CO3,NaHCO3, NaOH, KCI,KOH. Magnesium and calcium-occurrence and extraction, properties and uses. Important compounds Mgcl2, MgSO4, CaO, Ca(OH)2,CaCO3, CaSO4, Plaster of paris, Bleaching Powder. Aluminium –occurrence, extraction properties and uses, compounds-AlCI3, alums. Cement. Biological role of Sodium, Potassium, Magnesium and Calcium.
Unit 15:- Heavy Metals Iron – Occurrence and extraction, compounds of iron, oxides, halides, sulphides, sulphate, alloy and steel. Copper and Silver- occurrence and extraction, properties and uses, compounds-sulphides, halides and sulphates, photography. Zinc and Mercury- occurrence and extraction, properties and uses, compounds-oxides, halides; sulphides and sulphates. Tin and Lead- occurrence and extraction, properties and uses, compounds-oxides, sulphides, halides.  
Unit 16: Chemistry of Representative Elements Periodic properties- Trends in groups and periods (a) Oxides-nature (b) Halidesmelting points (c) Carbonates and sulphates-solubility. The chemistry of s and p block elements, electronics configuration, general characteristic properties and oxidation states of the following:- Group 1 elements - Alkali metals Group 2 elements - Alkaline earth metals Group 13 elements - Boron family Group 14 elements - Carbon family Group 15 elements - Nitrogen family Group 16 elements - Oxygen family Group 17 elements - Halogen family Group 18 elements - Noble gases & Hydrogen
Unit 17: Transition Metals Including Lanthanides Electronic configuration : General characteristic properties, oxidation states of transition metals. First row transition metals and general properties of their compounds-oxides, halides and sulphides. General properties of a second and third row transition elements ( Groupwise discussion). Preparation and reactions, properties and uses of Potassium dichromate Potassium permanganate. Inner Transition Elements: General discussion with special reference to oxidation states and lanthanide contraction.
Unit 18: Coordination Chemistry and Organo Metallics Coordination compounds, Nomenclature: Isomerism in coordination compounds; Bonding in coordination compounds, Werner’s coordination theory. Applications of coordination compounds.  
Unit 19: Nuclear Chemistry Nature of radiation from radioactive substances. Nuclear reactions; Radioactive disintegration series; Artificial transmutation of elements; Nuclear fission and Nuclear fusion: Isotopes and their applications: Radio carbon-dating.
Unit 20: Purification and Characterisation of Organic Compounds Purification (crystallization, sublimation, distillation, differential extraction, chromatography). Qualitative analysis, detection of nitrogen, sulphur, phosphorus and halogens. Quantitative analysis- estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus ( basic principles only) Determination of molecular mass-Silver salt method, cholroplatinate salt method Calculation of empirical formula and molecular formula. Numerical problems in organic quantitative analysis, modern methods of structure elucidation.  
Unit 21: Some Basic Principles Classification of Organic Compounds. Tetravalency of Carbon, Homologous series. Functional groups- - C=C-,-C C-,and groups containing halogen, oxygen, nitrogen and sulphur. General introduction to naming organic compounds-Common names and IUPAC nomenclature of alphatic, aromatic and Cyclic Compounds. Illustration with examples of Compounds having not more than three same of different functional groups/ atoms. Isomerism-Structural and stereoisomerism (geometrical and optical). Chirality-Isomerism in Compounds having one and two chiral Centres. Enantiomers, diastereoisomers, recemic forms, recemisation & resolution. Covalent bond fission-Homolytic and Heterolytic: free radicals carbocations and carbanions. Stability of Carbocations and free-radicals. Electrophiles and Nucleophiles. Electron displacement in a covalent bondinductive effect, electromeric effect, resonance Common types of organic reactions- Substitution, addition, elimination and rearrangement reactions. Illustration with examples.  
Unit 22: Hydrocarbons Classification. Sources of hydrocarbons: Alkanes- General methods of preparation (from unsaturated hydrocarbons, alkylhalides, aldehydes, ketones and carburoxylic acids). Physical properties and reactions (Substitution), Oxidation and miscellaneous). Conformations of alkanes(ethane, popane butane) and cyclohexane, sawhorse and Newman projections)-mechanism of halogaration of alkanes. Alkanes and Alkynes- General methods of preparation physical peorperties, Chemical reactions-Mechanism of electrophilic addition reactions in alkenes-Markowni Koff’s Rule, peroxide effect. Acidic character of alkynes. Polymerisation of alkenes. Aromatic hydrocarbons- Benzene and its homologues, Isomerism, Chemical reactions of benzene. Structure of benzene, resonance. Directive influence of substituents. Petroleum – Hydro Carbons from Petroleum, Cracking and reforming, quality of gasoline-Octane number, gasoline additives.
Unit 23: Organic Compound Containing Halogens ( Haloakanes and Haloarenes) Methods of preparation, physical properties and reactions. Preparation, properties and uses of Chloroform and lodoform.
Unit 24 : Organic Compounds Containing Oxygen General methods of preparation, correlation of physical properties with their structures, chemical properties and uses of Alchols, polyhydric alcohols, Ethers, aldehydes, ketones, carboxylic acids and their derivatives, Phenol, Benzaldehyde and Benzoic acid -their important methods of preparation and reactions. Acidity of carboxylic acids and phenol effect of substituents on the acidity of carboxylic acids.  
Unit 25: Organic Compounds Containing Nitrogen (Cyanides, isocyanides, nitrocompounds and amines) Nomenclature and classification of amines, cyanides, isocyanides, nitrocompounds and their methods of preparation; correlation of their physical properties with structure, chemical reactions and uses- Basicity of amines. Unit 26: Synthetic and Natural Polymers Classification on Polymers, natural and synthetic polymers (with stress on their general methods of preparation) and important uses of the following. Teflon, PVC, Polystyrene, Nylon-66, terylene, Bakelite)
Unit 27: Bio Molecules and Biological Processes The Cell and Energy Cycle Carbohydrates: Monosaccharides, Disaccharides, Polysaccharides Amino acids and Peptides- Structure and classification. Proteins and Enzymes-Structure of Proteins, Role of enzymes. Nucleic Acids-DNA and RNA Biological functions of Nucleic acidsProtein synthesis and replication. Lipids – Structure, membranes and their functions.
Unit 28: Chemistry In Action Dyes, Chemicals in medicines (antipyretic, analgesic, antibiotics & tranquilisers), Rocket propellants. ( Structural formulae non-evaluative)
Unit 29: Environmental Chemistry Environmental pollutants; soil, water and air pollution; major atmospheric pollutants; acid rain, Ozone and its reactions causing ozone layer depletion, effects of the depletion of ozone layer, industrial air pollution.  
MATHEMATICS
Unit 1:- 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.
Unit 2: 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.
Unit 3: 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.
Unit 4: 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 practical problems.
Unit 5 : 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 applications. 
Unit 6: Mathematical Induction and Its Application
Unit 7: 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.
Unit 8: 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: Sn,Sn2,Sn3. Arithmetico-Geometric Series, Exponential and Logarithmic series.
Unit 9: 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, monotonicincreasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals, Rolle’s and Lagrange’s Mean Value Theorems.
Unit 10:- Integral Calculus Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and 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.
Unit 11:-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 = f(x) dx2
Unit 12:- Two Dimensional Geometry Recall of Cartesian system of rectangular co-ordinates in a plane, distance formula, area of a triangle, condition of 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 line, 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, orthocenter 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 a 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 conditions 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.  
Unit 13: 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 sphere.
Unit 14: 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 geometry.
Unit 15: 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.
Unit 16: Probability Probability of an event, addition and multiplication theorems of probability and their application; Conditional probability; Bayes’ Theorem, probability distribution of a random variate; Binomial and Poisson distributions and their properties.
Unit 17: Trigonometry Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles, including centroid, incentre, circumcentre and orthocenter, solution of triangles. Heights and Distances. 
Unit 18: Statics Introduction, basis concepts and basic laws of mechanics, force, resultant of forces acting at a point, parallelogram law of forces, resolved parts of a force, Equilibrium of a particle under three concurrent forces, triangle law of forces and its converse, Lami’s theorem and its converse, Two parallel forces, like and unlike parallel forces, couple and its moment.
Unit 19: Dynamics Speed and velocity, average speed, instantaneous speed, acceleration and retardation, resultant of two velocities. Motion of a particle along a line, moving with constant acceleration. Motion under gravity. Laws of motion, Projectile motion

Mode of application
Application process for KIITEE 2017:
The filing of form for KIITEE 2017 begins from 10th Dec 2016, you can log in to the official KIITEE website.
The process of application for KIITEE will last from 10th Dec 2016 to 31st March 2017. The registration process for KIITEE 2017 involves:
Visit the official KIITEE website and fill in your name, date of birth, gender and email id.
Click the Proceed button.
Fill in the personal and education details.
Paste your photograph in the space provided for it.
Sign in the Signature column. The sign should include yours and a Guardian’s signature.
Click SUBMIT.
Note the Application number.
Dispatch the Application Form for KIITEE 2017 along with two passport size color photographs pasted in appropriate place and 10th Pass Certificate / Mark sheet. The online application for KIITEE 2017 will be accepted subject to receipt of printed application, photographs, copy of 10th Pass Certificate / Mark sheet only.

Kalinga Institute of Industrial Technology Entrance Exam [KIITEE] 2017 scores Kalinga Institute of Industrial Technology Entrance Exam [KIITEE] 2017
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