APTET - 2011

APTET - 2011

1	TET Paper - I syllabus
2	TET Paper - II syllabus

BITSAT 2011 Sample Papers

BITSAT 2011 Sample Paper – Official
BITSAT Previous Sample Papers I
BITSAT Previous Sample Papers I
BITSAT Exam Sample Papers III
BITSAT Exam Sample Papers IV

Click here for BITSAT 2011 Syllabus

BITSAT 2011 Exam will be of total 3-hour duration (without break). BITSAT 2011 Test consists of four parts & There will be 150 questions in all.

	Subject	No of questions
Part I	Physics	40
Part II	Chemistry	40
Part III	(a) English Proficiency	15
	(b) Logical Reasoning	10
Part IV	Mathematics	45
	Total	150

In BITSAT 2011 Exam all questions are of objective type (multiple choice questions); each question with choice of four answers, only one being correct choice. Each  correct answer fetches 3 marks, while each incorrect answer has a penalty of 1 mark (-1mark).  No marks are awarded for questions not attempted. While the candidate can skip a question, the computer will not allow the candidate to choose more than one option as correct answer.

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IIT JEE 2011 Exam Syllabus

Click here for: IIT JEE 2011 Exam Syllabus – CHEMISTRY
Click here for: IIT JEE 2011 Exam Syllabus – PHYSICS
Click here for: IIT JEE 2011 Exam Syllabus – MATHEMATICS
Click here for: IIT JEE 2011 Exam Syllabus – APTITUDE TEST
Click here for: IIT JEE PREVIOUS SOLVED EXAM PAPERS

MAT Exam Syllabus 2011

There are Five Papers in MAT 2011 Exam:-

Paper 1: Language Comprehension   
Paper 2 : Mathematical Skills   
Paper 3: Data Analysis and Sufficiency   
Paper 4 : Intelligence and Critical Reasoning   
Paper 5 : Indian and Global Environment

Total No of Questions:- 200

Time:- 150 Minutes

Marks allocation:-

Correct attempt: 1 mark
Incorrect attempt: Negative marking not specified

Section Questions in MAT Entrance Exam 2011:-

• Reading Comprehension - 40
• Data Interpretation/Data sufficiency -  40
• Quantitative Aptitude - 40
• Logical and Critical reasoning - 40
• General Awareness - 40
   

Symbiosis Entrance Test (SET) PATTERN

SET 2011 Pattern / Structure / Syllabus:

Duration: SET duration is 150 minutes.

 SET is an objective test.
apers: SET is conducted in two sessions for FIVE question papers.

A candidate may apply to take one paper from each session.

Structure of SET - 2011 for Law

Sections:-

• Logical Reasoning    
• Legal Reasoning    
• Analytical Reasoning    
• Reading Comprehension    
• General Knowledge

Total Marks:- 150   


Structure of SET- 2011 for Engineering

Sections:-

• Physics        
• Chemistry    
• Mathematics

Total Marks  200


Structure of SET- 2011 for Health Sciences

Sections:-

• Physics
• Chemistry    
• Biology    

Total Marks:- 200    
     
Structure of SET- 2011 for General

Sections:-

• General English    
• Quantitative    
• General Awareness    
• Analytical & Logical Reasoning    

Total Marks:- 150

Structure of SET- 2011 for Design

Sections:-

• English
• Design Aptitude

Total Marks:- 100   

AIPMT Syllabus 2011

AIPMT Biology & Zoology Syllabus:-

Unit 1 : Diversity in Living World
Unit 2 : Cell : The Unit of Life ; Structure and Function
Unit 3 : Genetics and Evolution
Unit 4 : Structure and Function – Plants
Unit : 5 Structure and Function - Animals
Unit : 6 Reproduction, Growth and Movement in Plants
Unit 7 : Reproduction and Development in Humans
Unit 8 : Ecology and Environment
Unit 9 : Biology and Human Welfare
Unit 10 : Biotechnology and its Applications


AIPMT Physics Syllabus:-

Unit : 1 Introduction and Measurement
Unit : 2 Description of Motion in One Dimension
Unit : 3 Description of Motion in Two and Three Dimensions
Unit : 4 Laws of Motion
Unit : 5 Work, Energy and Power
Unit : 6 Rotational Motion
Unit : 7 Gravitation
Unit : 8 Heat and Thermodynamics
Unit : 9 Oscillations
Unit : 10 Waves
Unit : 11 Electrostatics
Unit : 12 Current Electricity
Unit : 13 Thermal and Chemical Effects of Currents
Unit : 14 Magnetic Effect of Currents
Unit : 15 Magnetism
Unit : 16 Electromagnetic Induction and Alternating Currents
Unit : 17 Electromagnetic Waves (Qualitative Treatment)
Unit : 18 Ray Optics and Optical Instruments
Unit : 19 Electrons and Photons
Unit : 20 Atoms, Molecules and Nuclei
Unit : 21 Solids and Semiconductor Devices

AIPMT Chemistry Syllabus:-

Unit : 1 Some basic concepts in Chemistry
Unit : 2 States of matter
Unit : 3 Atomic structure
Unit : 4 Classification of elements and periodicity in properties
Unit : 5 Chemical energetics
Unit : 6 Chemical bonding
Unit : 7 Equilibrium
Unit : 8 Redox reactions
Unit : 9 Solid state Chemistry
Unit : 10 Chemical thermodynamics
Unit : 11 Solutions
Unit : 12 Chemical kinetics
Unit : 13 Electrochemistry
Unit : 14 Surface chemistry
Unit : 15 Hydrogen
Unit : 16 S-Block Elements (Alkali and Alkaline Earth metals):
Unit : 17 General principles and processes of isolation of elements
Unit : 18 p-Block Elements
Unit : 19 The d-and f-Block elements
Unit : 20 Coordination compounds
Unit : 21 Some basic principles of Organic Chemistry
Unit : 22 Hydrocarbons
Unit : 23 Purification and characterization of carbon compounds
Unit : 24 Organic compounds with functional groups containing halogens (X)
Unit : 25 Organic compounds with functional groups containing oxygen
Unit : 26 Organic Compounds with functional group containing nitrogen
Unit : 27 Polymers
Unit : 28 Environmental Chemistry
Unit : 29 Biomolecules
Unit : 30 Chemistry in everyday life

VITEEE Exam Syllabus

BIOLOGY:-

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

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

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

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

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

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

HUMAN PHYSIOLOGY:- Nutrition: Digestion, Body-mass ratio, calorie value (ICMR standards), balanced diet, obesity –respiration: inspiration, expiration, exchange of gases, process of pulmonary respiration – Digestion: enzymes and its action – Muscular systems: mechanism of action – Circulation: mechanisms of blood circulation, structure of heart – Excretion: ureotelism, urea biosynthesis, nephron ultrafilteration – nervous system: physiology, coordination systems, brain function and receptor organs – reproduction: spermatogenesis, oogenesis, in vitro fertilization – endocrines: harmones and their functions.

MOLECULAR BIOLOGY AND BIOTECHNOLOGY:- Concept of gene – central dogma of molecular biology – gene regulation – rDNA technology –– transgenic plants and microbes – gene cloning – genetically modified organisms – gene expression – gene bank – management of plant and animal genetic resources – genetic conservation – microbial type culture – genetic typing studies.

ECOLOGY AND ENVIRONMENT:- Human population and explosion – ecosystems – ecological succession – conservation and biodiversity (Biosphere reserves) – wild life: legislation and conservation of wild life – global warming crisis and green house effect – biogeochemical cycle (O2 , C and N elements) – extinction of species – waste management – pollution (water, air, soil, noise and temperature).

APPLIED BIOLOGY AND HUMAN WELFARE:-Plant tissue culture and applications – livestock and management – cattle breeding and poultry – farming methods – pisciculture – crops of economic importance: food yielding rice, oil yielding : groundnut, fibre yielding cotton, timber yielding teak – food production: breeding experiments, Biofertilizers – brief account of crop and animal diseases and their control – ethical concerns – biopatent – biopiracy – genetically modified foods – biowar – bioethics – gene therapy – recent advances in vaccine development.

CHEMISTRY:-

d AND f-BLOCK ELEMENTS

General Characteristics of d-block elements. Occurrence and principles of extraction: Copper, Silver and Zinc. Preparation, properties of 3 , 4 AgNO CuSO and 7 2 2 O Cr K and 4 KMnO .
Lanthanides-Introduction, oxidation state-Chemical reactivity, Lanthanide contraction, uses and brief
comparison of Lanthanides and Actinides. Nuclear energy, Nuclear fission and fusion-Radio carbon dating – Nuclear reaction in sun – Uses of radioactive Isotopes.

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

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

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

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

ELECTROCHEMISTRY:- Theory of electrical conductance – Theory of strong electrolytes – Faraday’s laws of electrolysis – Specific resistance, specific conductance, equivalent and molar conductance – Variation of conductance with dilution – Kohlraush’s law. Cells – Electrodes and electrode potentials – Construction of cell and EMF – Fuel cells – Corrosion and its preventions.

ALCOHOLS AND ETHERS:- Nomenclature of alcohols – Classification of 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 – General methods of preparation of aliphatic ethers – properties – Uses – Aromatic ethers – Preparation of anisole – Reactions of anisole – Uses.

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.

CARBOXYLIC ACIDS:- 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 acid. Aromatic acids; Benzoic and Salicylic acid – Properties – uses. Derivatives of carboxylic acids; acetyl chloride ( COCl CH3 ) – Preparation – Properties – Uses. Preparation of acetamide, Properties – acetic anhydride – preparation, Properties. Preparation of esters – methyl acetate – Properties.

ORGANIC NITROGEN COMPOUNDS:- 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 of preparation – Properties – Distinction between 0 0 2 , 1 , and 0 3 amines. Aromatic amines – Synthesis of benzylamine – Properties – Aniline – Preparation – Properties – Uses. Distinction between aliphatic and aromatic amines. Aliphatic nitriles – Preparation – properties – Uses. Diazonium salts – Preparation of benzene diazoniumchloride properties.


PHYSICS:-

ELECTROSTATICS:-

Frictional electricity, charges and their conservation; Coulomb’s law-forces between two point electric charges – Forces between multiple electric charges-superposition principle. Electric field – Electric field due to a point charge, electric field lines; Electric dipole, electric field intensity due to a dipole – behaviour of dipole in a uniform electric field-application of electric dipole in microwave oven. Electric potential – potential difference-electric potential due to a point charge and due to a dipole-Equipotential surfaces – Electrical potential energy of a system of two point charges. Electric flux-Gauss’s theorem and its applications to find field due to (i) infinitely long straight wire (ii) uniformly charged infinite plane sheet (iii) two parallel sheets and (iv) uniformly charged thin spherical shell (inside and outside)
Electrostatic induction-capacitor and capacitance – Dielectric and electric polarisation – parallel plate capacitor with and without dielectric medium – applications of capacitor – energy stored in a capacitor – Capacitors in series and in parallel – action of points –Lightning arrester – Van de Graaff generator.

CURRENT ELECTRICITY:-

Electric Current – flow of charges in a metallic conductor – Drift velocity and mobility and their relation with electric current. Ohm’s law, electrical resistance – V-I characteristics – Electrical resistivity and conductivity-Classification of materials in terms of conductivity – Superconductivity (elementary ideas) – Carbon resistors – colour code for carbon resistors- Combination of resistors – series and parallel – Temperature dependence of resistance – Internal resistance of a cell – Potential difference and emf of a cell. Kirchoff’s law – illustration by simple circuits – Wheatstone’s Bridge and its application for temperature coefficient of resistance measurement – Meterbridge – Special case of Wheatstone bridge – Potentiometer- principle – comparing the emf of two cells. Electric Power – Chemical effect of current – Electro chemical cells – Primary (Voltaic, Lechlanche, Daniel)-Secondary – rechargeable cell – lead acid accumulator.

EFFECTS OF ELECTRIC CURRENT:-

Heating effect – Joule’s law – Experimental verification-Thermoelectric effects – Seebeck effect – Peltier effect – Thomson effect – Thermocouple, thermoemf, neutral and inversion temperature-Measurement of thermo emf using potentiometer – Thermopile. Magnetic effect of electric current – Concept of magnetic field, Oersted’s experiment – Biot-Savart law – Magnetic field due to an infinitely long current carrying straight wire and circular coil – Tangent galvanometer – Construction and working – Bar magnet as an equivalent solenoid – magnetic field lines. Ampere’s circuital law and its application to straight and Toroidal solenoids. Force on a moving charge in uniform magnetic field and electric field – cyclotron – Force on current carrying conductor in a uniform magnetic field – forces between two parallel current carrying conductors – definition of ampere. Torque experienced by a current loop in a uniform magnetic field – moving coil galvanometer – Conversion to ammeter and voltmeter – Current loop as a magnetic dipole and its magnetic dipole moment – Magnetic dipole moment of a revolving electron.

ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT:-

Electromagnetic induction – Faraday’s law – induced emf and current – Lenz’s law. Self induction – Mutual induction – Self inductance of a long solenoid – mutual inductance of two long solenoids. Methods of inducing emf – (i) by changing magnetic induction (ii) by changing area enclosed by the coil and (iii) by
changing the orientation of the coil (quantitative treatment). AC generator – commercial generator. (Single phase, three phase). Eddy current – Applications – Transformer – Long distance transmission.
Alternating current – measurement of AC-AC circuit with resistance – AC circuit with inductor – AC circuit with capacitor – LCR series circuit – Resonance and Q – factor – power in AC circuits.

ELECTROMAGNETIC WAVES AND WAVE OPTICS:-

Electromagnetic waves and their characteristics – Electromagnetic spectrum-radio, microwaves, infra-red, visible, ultraviolet, X rays, gamma rays. Emission and Absorption spectrum – Line, Band and continuous spectra – Fluorescence and phosphorescence. Theories of light – Corpuscular – Wave – Electromagnetic and Quantum theories. Scattering of light – Rayleigh’s scattering – Tyndal scattering – Raman effect – Raman spectrum – Blue colour of the sky and reddish appearance of the sun at sunrise and sunset. Wavefront and Huygens’s principle – Reflection, total internal reflection and refraction of plane wave at a plane surface using wavefronts. Interference – Young’s double slit experiment and expression for fringe width – coherent source – interference of light- Formation of colours in thin films – analytical treatment – Newton’s 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 Polaroid’s – rotatory polarisation – polarimeter.

ATOMIC PHYSICS
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. Bohr’s model – energy quantisation – energy and wave number expression – Hydrogen spectrum – energy level diagrams -
sodium and mercury spectra – excitation and ionization potentials. Sommerfeld’s atom model-X-rays – Production, properties, detection, absorption, diffraction of x-rays – Laue’s experiment
- Bragg’s law, Bragg’s X-ray spectrometer – X-ray spectra-continuous and characteristic X-ray spectrum – Mosley’s law and atomic number. Masers and Lasers – spontaneous and stimulated emission – normal population and population inversion – Ruby laser, He- Ne laser – properties and applications of laser light – holography.

DUAL NATURE OF RADIATION AND MATTER – RELATIVITY
Photoelectric effect – Light waves and photons – Einstein’s photoelectric equation – laws of photoelectric emission – particle nature of energy – experimental verification of Einstein’s photoelectric equation – work function – photo cells and their application. Matter waves – wave mechanical concept of the atom – wave nature of particles – DeBroglie relation – DeBroglie wavelength of an electron – electron microscope. Concept of space, mass, time – Frame of references – Galileon transformations, Special theory of relativity – Relativity of length, time and mass with velocity – Einstein’s mass -energy equivalence.

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. Radioactivity – alpha, beta and gamma radiations and their properties- α-decay, â -decay and γ -decay – Radioactive decay law – half life – mean life – Artificial radioactivity – radio isotopes – effects and uses – Geiger – Muller counter. Radio carbon dating – biological radiation hazards.
Nuclear fission – chain reaction – atom bomb – nuclear reactor – nuclear fusion – Hydrogen bomb- cosmic rays – elementary particles.

SEMICONDUCTOR DEVICES AND THEIR APPLICATIONS:-

Semiconductor theory – energy band in solids – difference between metals, insulators and semiconductors based on band theory- semiconductor doping – Intrinsic and Extrinsic semi conductors. Formation of P-N Junction – Barrier potential and depletion layer-P-N Junction diode – Forward and reverse bias characteristics – diode as a rectifier – Zener diode-Zener diode as a voltage regulator-LED seven segment display – LCD. Junction transistors – characteristics – transistor as a switch – transistors as an amplifier – transistor biasing – RC, LC coupled and transformer coupling in amplifiers – feed back in amplifiers – positive and negative feedback – advantages of negative feedback in amplifiers – oscillator – condition for oscillations – LC circuit – Colpitt oscillator. Logic gates – NOT, OR, AND, EXOR using discrete components – NAND and NOR gates as universal gates – difference between unipolar and bipolar devices-Integrated circuits -medium, small and very large scale integration – fabrication and
applications – TTL and CMOS, ICs. Laws and theorems of Boolean algebra – operational amplifier – parameters – pin out configuration – Basic applications- Inverting amplifier-Non-inverting amplifier – summing amplifiers. Measuring Instruments – Cathode Ray oscilloscope – Principle-Functional units-uses-Multimeter- construction and uses.

COMMUNICATION SYSTEMS:-

Modes of propagation, ground wave-sky wave propagation. Amplitude modulation, merits and demerits – applications – frequency modulation – advantages and applications – phase modulation. Antennas and transmission lines – current and voltage distribution – directional pattern – antenna parameters – types of
antenna – design of folded dipole. Radio transmission and reception – AM and FM – superhereterodyne receiver. TV standards, TV transmission and reception – scanning and synchronising – TV Antenna – Video signal analysis. Vidicon (camera tube) and picture tube – block diagram of a monochrome TV transmitter and receiver circuits. Radar – principle – factors influencing maximum range – applications. Digital communication -data transmission and reception – principles of fax, modem, satellite communication – wire, cable and optical fiber communication.

OJEE 2011 Syllabus Lateral Entry Stream

OJEE 2011 Syllabus Lateral Entry Stream Diploma Odisha JEE

 

MATHEMATICS

Ordinary Differential Equations: Differential equations of first order, Physical applications, Linear differential equations, Homogeneous and non-homogeneous second order linear differential equation with constant co-efficients. Application to free and forced vibration of spring mass systems, method of variation of parameters. Normal form change of dependent and independent variables. Cauchy’s Euler’s equation

Series Method : Properties of power series, solution of ordinary differential equations. Legendre equations. Legendre Polynomials and functions, methods of Frobenius, the Gamma function, the Bessel-Clifford equations, Bassel’s equation, nonhomogeneous equations.

Laplace Transforms : The Laplace transforms (L.T.), L.T. of derivaties and integrals, derivatives and integrals of Laplace transforms, L.T. of periodic functions, Inverse Laplace transforms, Convolution theorem, Application of L. T. to solution of differential equations, special techniques.

Fourier Series : Fourier theorem, Fourier expansion, even and odd functions, half range expansion, seems and scale changes, forced oscillation, Miscellaneous expansion techniques.

Matrices : Notation and terminology, Solution of simultaneous equations by Gaussian elimination, Rank, Computation of rank by reduction of Rewechelon normal form, Algebra of matrix, inverse determinants, linear dependence and independence, solution of homogeneous and non-homogenous systems. Norms and product, Gram-schemidt Process, Projection matrix, eiegenvalues, eigenvectors, Symmetric and simple matrix, System of linear differential equations the homogenous case.

Vectors : Vector algebra, Vector differentiation, Vector operator del, gradient, divergence, curl, integral theorem.

ENGINEERING MECHANICS

Statics : System of co-planer forces – Condition for equilibrium

– concept of free body diagrams – Methods of solution of engineering problems, problem with friction – Belt friction and screw jack. Force analysis of plane trusses(Method of joints and method of sections). Analysis of frames (Method of members). First moment of area and centroid – theorem of Papus, Second momentum of areas, Polar moment of inertia. Principle of virtual work for a single particle, rigid bodies, ideal systems and constrained bodies.

Dynamics : Kinematics of rigid body – Plane motion, Kinetics of translation and rotating rigid bodies, moment of inertia of bodies.

D’Alembert’s Principle – Application to a single particle rigid body in translation and rotation, ideal systems. Momentum and impulse, Application to principle of linear momentum to a single particle, rigid bodies and ideal systems, Impact – application of principle of angular momentum to a single particle and rotating rigid bodies, Principle of conservation of momentum.

Work and energy : Principle of work and energy for a single particle, rotating rigid body and ideal systems, Principle of conservation of energy.

 

Lateral Entry Stream Basic Electrical Engineering Odisha JEE

SYLLABI FOR LATERAL ENTRY STREAM (DIPLOMA)

The syllabi given here for JEE-2011 (Lateral entry diploma holders in Engineering / Technology) is only illustrative and not exhaustive. Since JEE-2011 is conducted with a view to prepare a relative merit list only for admission, the decision of the JEE- 2011 committee as regards to the scope of syllabi is final. This paper is common to all the discipline except Pharmacy.

BASIC ELECTRICAL ENGINEERING

Electrostatics, Electromagnetism and Electrodynamics:

Coulomb’s Law, Gauss theorem and its applications in calculating the field intensity, potential gradient due to spherical, cylindrical and plane charges. Calculation of capacitance of spherical, coaxial, cylindrical and parallel plate condensers, dielectrics, energy stored in and electric field.

Circuital Law of magnetism, magnetic field intensity and flux density due to a long straight conductor, solenoid and toroid carrying current. Ferromagnetic material in a magnetic field, permeability B-H curves, cyclic magnetisation and hysteresis idea of magnetic circuit, mmf and reluctance, calculation of simple magnetic circuits, effect of leakage.

Faraday’s Law of electrodcmagnetic induction, e.m.f. in a conductor and a coil moving in a magnetic field. Self and mutual inductance series parallel combination, Energy stored in magnetic field.

D.C. Circuits : Idea of D. C. Circuits, power and energy in electric circuits, reduction of electric network by series, parallel and star-delta conversion, representation of voltage source and current source, Kirchoff Laws and their application to solve electrical circuits by branch and loop current method and nodal method. Transient phenomena in RL, RC and RLC circuits with D.C. excision.

A. C. Circuits : Alternating current voltage, different wave forms, average value, effective value and form factor. Sinusoidal voltage and current, amplitude, frequency and phase, addition and subtraction of A.C. quantities, phasor diagram, complex representation of sinusoidal quantities, reactance, impedance and admittance, simple series and parallel circuits and use of complex algebra in solving them, Power and power factor, active and reactive components, idea of power factor improvement, series and parallel resonance Q – factor. Introduction to three phase circuits, relation between phase and lien quantities. Star and Delta connection of sources and loads, active and reactive power in 3-phase circuits, single and two wattmeter method of power measurement. Steady circuit equations, solutions of simple coupled circuits containing R, L, C and M.

Instruments : Construction and principle of operation of permanent magnet moving coil, moving iron and dynamometer type ammeters and voltmeters, dynamometer type wattmeters. Illumination : Definition and units of luminous flux, luminous intensity, illumination, brightness, luminous efficiency.

Production of light : Filament lamps, halogen lamps, sodium and mercury vapour lamps, fluorescent lamps, lighting calculation by inverse Square law and light flux method, coefficient of utilization and maintenance factor.

 

OJEE 2011 Syllabus Lateral Entry Stream

OJEE 2011 Syllabus Lateral Entry Stream MCA Pharmacy 
SYLLABI FOR LATERAL ENTRY (PHARMACY)

PAPER for Pharmacy

The course content is same as the syllabus of part-I and part-II of Diploma in Pharmacy as per the Education Regulation – 1991 of Pharmacy Council of India.

SYLLABUS FOR MCA STREAM

MATHEMATICS

Logic : Statement, Negation, Implication, Converse, Contra positives, Conjuction, Disjunction, Truth Table.

Algebra of Sets : Set operations, Union, Intersection, Difference, Symmetric Difference, Complement, Venn Diagram, Cartesian products of sets, Relation and Function, Composite Function, Inverse of a Function , Equivalence Relation, Kinds of Function.

Number Systems : Real numbers (algebraic and other properties, rational and irrational numbers), Complex numbers, Algebra of complex numbers, Conjugate and square root of a complex number, cube roots of unity, De- Moivre’s Theorem with simple application.

Permutation and combinations and their simple applications, Mathematical induction, Binomial Theorem.

Determinants upto third order, Minors and Cofactors, Properties of determinants. Matrices upto third order, Types of Matrices. Algebra of matrices, Adjoint and Inverse of a matrix. Application of determinants and matrices to the solution of linear equations (in three unknowns)

Trigonometry : Compound angles, Multiple and Sub-multiple angles, solution of trigonometric equations, Properties of triangles, Inverse circular function.

Co-ordinate Geometry of two dimensions : Straight lines, Pairs of straight lines, Circles, Equations of tangents and normals to a circle. Equations of Parabola, Ellipse and Hyperbola, Ellipse and hyperbola in simple forms and their tangents ( Focus, directix, eccentricity and latus rectum in all cases).

Co-ordinate Geometry of Three Dimensions : Distance and division formulae, Direction cosines and direction ratios. Projections, Angles between two planes, Angle between a line and a plane, Distance of a point from a line and plane. Equations of a sphere-general equation.

Vectors : Fundamentals, Dot and Cross product of two vectors, Scalar triple product, Simple Applications (to geometry, work and moment).

Differential Calculus : (Concept of limit, Continuity, Derivation of standard functions, successive differentiation (simple cases, Leibnitz Theorem, Partial differentiation (Simple cases, derivatives as rate measure, Maxima and minima indeterminate forms, Geometrical applications such as tangents and normals to plane curves.

Intergal calculus : Standard methods of integration (substitution, by parts, by partial fractions etc.). Definite integrals and properties of Definite Integrals, Areas under plane curves, Differential Equations (only simple cases).

(i) dy/dx = f(x)

(ii) dy/dx = f(x) g(y)

(iii) d2y/dx2 = f(x) and application to motions in a straight line with constant acceleration.

Probability and Statistics : Averages (Mean, Median and Mode), Dispersion (standard deviation and variance). Definition of probability, Mutually exclusive events. Independent events, Addition theorem.

COMPUTER AWARENESS:

Introduction to Computer : Brief history of Computers, Components of a Computer, Computer related general knowledge, Application of Computers, Classification of Computers, Simple DOS Commands.

Computer Arithmetic : Number System with general base,Number base conversion, Elementary arithmetic operation. BASIC Language Programming : Flow Charts, Algorithms, Constants, Variables, Arithmetic and logical expression, Elementary BASIC statements, Writing simple programs (using sequence, repetition and control structures), Subscripted Variables, Matrix operations Function and Subroutines, Concept of Files.

OJEE 2011 Syllabus

OJEE 2011 Syllabus For MBA PGDM PGCM PGDM Executive
SYLLABUS FOR MBA/PGDM/PGCM/PGDM (Executive)

Questions will be meant to measure a person’s general Entrance test in the following aspects :

Section No. of Questions

Verbal reasoning 40

Analytical reasoning 40

General Knowledge 10

Comprehension 20

Computer and Business fundamentals 10

Sample Questions :

A sample of questions is being provided for making the candidates aware of the style and difficulty level of the questions. The topics covered here in sample are not true indication of the syllabus and the test may contain questions from all related areas under different sections. The samples are given primarily to help the candidates understand the pattern of the test.

Section A : Verbal Reasoning

1. Identify the odd word

A. Sweep

B. wipe

C. Scrub

D. Stain

2. The place where bricks are baked

A. Foundry

B. Mint

C. Cemetery

D. Kiln

3. My watch is 6 minutes fast and the train which should havearrived at my station at 11.30 am was 5 minutes late. Whattime was it by my watch when the train arrived?

A. 11.41 am

B. 11.40 am

C. 11.38 am

D. Don’t Know

Section B : Analytical Reasoning

1. Which of the following ratio is greatest ?

A . 7:15

B. 15:23

C. 17:25

D. 21:29

2. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

A . 4 days

B. 5 days

C. 6 days

D. 7 days

3. When the integer n is divided by 6, the remainder is 3.Which of the following is not a multiple of 6?

A . n-3

B. n+3

C. 2n

D. 3n

Section C : General Knowledge

1. The term ‘ steeplechase’ is associated with

A. Horse racing

B. Boxing

C. Polo

D. Rowing

2. The first indigenously built missile boat is named as:

A. INS Mani

B. INS Shilpi

C. INS Bibhuti

D. INS Vikrant

3. Central Salt and Marine Chemicals Research Institute is

located at

A. Ahmedabad

B. Bhavanagar

C. Gandhi nagar

D. Panaji

Section D : Comprehension

Speech is a great blessing but it can also be great curse, for which it helps us to make our intentions and desires known to our fellows, it can also, if we use it carelessly, make your attitude completely misunderstood. A slip of the tongue, the use of an unusual word, or of an ambiguous word and so on, may create an enemy where we had hope to win a friend. Again different classes of people use different vocabularies, and the ordinary speech of an educated man may strike an uneducated listener as pompous. Unwittingly we may use a word which bears a different meaning to our listener from what it does to men of our own class. Thus speech is not a gift to use lightly without thought, but one which demands careful handling.

Only a food will express himself a like to all kinds and conditions of men.

1. Speech can be a curse, because it can

A . reveal our intensions

B. lead to carelessness

C. hurt others

D. create misunderstanding

2. A ‘slip of tongue’ means some thing said

A. unintentionally

B. wrongly by chance

C. without giving proper thought

D. to hurt another person

3. The best way to win a friend is to avoid In speech

A. ambiguity

B. verbosity

C. promposity

D. irony

Section E : Computer & Business Fundamentals

1. The widely used code in data communication is

A. 8 bit ASCII

B. 7 bit ASCII

C. EBCDIC

D. None of these

2. Point of Sales terminal refers to

A. Terminal associated with MICR

B. Smart Terminal

C. Terminal associated with OCR

D. None of the above

3. How many Stock Exchanges are there in India?

A. 21

B. 22

C. 26

D. None of the above

SSC Combined Graduate Level Exam (CGLE)

SYLLABUS TIER-I OF THE EXAMINATION :

General Intelligence & Reasoning : It would include questions of both verbal and non-verbal type.  This component may include questions on analogies, similarities and differences, space visualization, spatial orientation, problem solving, analysis, judgement, decision making, visual memory, discrimination, observation, relationship concepts,   arithmetical reasoning and figural classification, arithmetic number series, non-verbal series, coding and decoding, statement conclusion, syllogistic reasoning etc. The topics are, Semantic Analogy, Symbolic/Number Analogy, Figural Analogy, Semantic Classification, Symbolic/Number Classification, Figural Classification, Semantic Series, Number Series,  Figural Series, Problem Solving, Word Building, Coding & de-coding, Numerical Operations, symbolic Operations, Trends, Space Orientation, Space Visualization, Venn Diagrams, Drawing inferences, Punched hole/pattern –folding & un-folding, Figural Pattern – folding and completion, Indexing, Address matching, Date & city matching, Classification of centre codes/roll numbers, Small & Capital letters/numbers coding, decoding and classification, Embedded Figures, Critical thinking, Emotional Intelligence, Social Intelligence, Other sub-topics, if any

General Awareness : Questions in this component will be aimed at testing the candidates general awareness of the environment  around him and its application to society.  Questions will also be designed to test knowledge of current events and of such matters of every day  observations and experience in their scientific aspect as may be expected of any educated person.    The test will also include questions relating to India and its neighbouring countries especially  pertaining History, Culture, Geography, Economic  Scene, General Policy & Scientific Research.  

Numerical Aptitude : The questions will be designed to test the ability of appropriate use of numbers and number sense of the candidate. The scope of the test will be computation of whole numbers, decimals,fractions and relationships between numbers, Percentage. Ratio & Proportion, Square roots, Averages, Interest, Profit and Loss, Discount, Partnership Business, Mixture and Alligation, Time and distance, Time & Work, Basic algebraic identities of School Algebra & Elementary surds, Graphs of Linear Equations, Triangle and its various kinds of centres, Congruence and similarity of triangles, Circle and its chords, tangents, angles subtended by chords of a circle, common tangents to two or more circles, Triangle, Quadrilaterals, Regular Polygons , Circle, Right Prism, Right Circular Cone, Right Circular Cylinder, Sphere, Hemispheres, Rectangular Parallelepiped, Regular Right Pyramid with triangular or square base, Trigonometric ratio, Degree and Radian Measures, Standard Identities, Complementary angles, Heights and Distances, Histogram, Frequency polygon, Bar diagram & Pie chart

English Comprehension : Candidates‘ ability to understand correct English, his  basic  comprehension and writing ability, etc. would be tested. 

(The questions in all the  components  A,B & D will be of a level  commensurate   with the Essential Qualification prescribed for the post viz., graduation and questions in component C will be of 10+2 level).

NCERT Syllabus

Final syllabus on Health & Physical Education (Class I - X) Click Here

Syllabus of M.Ed. for RIEs Click Here

Syllabus of M.Phil. for RIEs Click Here

Syllabus on media studies class xi and xii Click Here

NCERT Model Question Papers Click Here

NCERT Syllabus of Class I to XII Click Here

UPSC Special Class Railway Apprentices (SCRA) Examination

UPSC Special Class Railway Apprentices (SCRA) Examination 

SCHEME OF EXAMINATION

Section - I

The examination shall be conducted according to the following plan. Part I Written examination carrying a maximum of 600 marks in the subjects as shown below.

Part II Personality Test carrying a maximum of 200 marks in respect of only those candidates who are declared qualified on the results of written examination.

2. The subjects of the written examination under Part I, the time allowed and the maximum marks allotted to each subject/paper shall be as follows:

Subjects:

Paper-I

General Ability Test

(English, General Knowledge and Psychological Test)

Code No. 01

Time Allowed 2 hours

Maximum Marks: 200

Paper-II

Physical Sciences

(Physics and Chemistry)

Code No. 02

Time Allowed 2 hours

Maximum Marks: 200

Paper-III 

Mathematics

Code No. 02

Time Allowed 2 hours

Maximum Marks: 200

Total Marks 600

3. The papers in all the subjects will

consist of Objective (multiple

choice answer) Type questions

only. The Question Papers (Test

Booklets) will be set in English only.

4. In the question papers, wherever required, SI units will be used.

5. Question Papers will be approximately of the Intermediate standard.

6. Candidates must write the answers in their own hand. In no circumstances, will they be allowed the help of a scribe to write the answers for them.

7. The Commission have discretion to fix qualifying marks in any or all the subjects of the examination.

8. Candidates are not permitted to use calculators for answering objective type papers (Test Booklets). They should not, therefore, bring the same inside the Examination Hall.

Syllabus of Examination

Paper-I

(I) ENGLISH

The questions will be designed to test the candidates' understanding and command of the language.

(II) GENERAL KNOWLEDGE 

The questions will be designed to test a candidate’s general awareness of the environment around him/her and its application to society. The standard of answers to questions should be as expected of students of standard 12 or equivalent.

Man and his environment—

Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes.

Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases. Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control. Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India.

Solar system and the earth. Seasons, Climate, Weather, Soil—its formation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India. Distribution of natural resources and industries in India. Exploration of under—ground minerals including Oil Conservation of natural resources with particular reference to the flora and fauna of India.

History, Politics and Society in India—Vedic, Mahavir, Budhdha, Mauryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora).

The rise of new social forces with the coming of Islam and establishment of broader contacts. Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence.

Constitution of India and its characteristic features—Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government. Major political ideologies—democracy, socialism, communism and Gandhian idea of non-violence. Indian political parties, pressure groups, public opinion and the press, electoral system.

India’s foreign policy and non-alignment-Arms race, balance of power. World organisation — political, social, economic and cultural. Important events (including sports and cultural activities) in India and abroad during the past two years.

Broad features of Indian social system — The caste system, hierarchy — recent changes and trends. Minority social institution — marriage, family, religion and acculturation.

Division of labour, co-operation, conflict and competition, Social control — rewardand punishment, art, law, customs,propaganda, public opinion, agencies ofsocial control — family, religion, Stateeducational institutions; factors of socialchange — economic, technological,demographic, cultural; the concept of revolution.

Social disorganisation in India —Casteism, communalism, corruption in public life, youth unrest, beggary, drugs, delinquency and crime, poverty and unemployment. 

Social planning and welfare in India, community development and labour welfare; welfare of Scheduled Castes and Backward Classes.

Money — Taxation, price, demographic trends, national income, economic growth. Private and Public Sectors; economic and non-economic factors in planning, balanced versus imbalanced growth, agricultural versus industrial development; inflation and price stabilization, problem of resource mobilisation.

India’s Five Year Plans. (iii) Psychological Test The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.

Paper-II

(I) PHYSICS

Length measurements using vernier, screw gauge, spherometer and optical lever. Measurement of time and mass. Straight line motion and relationships among displacement, velocity and acceleration.

Newton's Laws of Motion, Momentum, impulse, work, energy and power. Coefficient of friction.

Equilibrium of bodies under action of forces. Moment of a force, couple. Newton’s Law of Gravitation. Escape velocity. Acceleration due to gravity. Mass and Weight; Centre of gravity, Uniform circular motion, centripetal force, simple Harmonic motion. Simple pendulum.

Pressure in a fluid and its variation with depth. Pascal’s Law. Principle of Archimedes. Floating bodies, Atmospheric pressure and its measurement.

Temperature and its measurement. Wave motion; Longitudinal and transverse waves. Progressive and stationary waves, Velocity of sound in gas and its dependence on various factors. Resonance phenomena (air columns and strings).Thermal expansion, Gas laws and absolute temperature. Specific heat, latent heats and their measurement. Specific heat of gases. Mechanical equivalent of heat. Internal energy and First law of thermodynamics, Isothermal and adiabatic changes. Transmission of heat; thermal conductivity.

Reflection and refraction of light. Image formation by curved mirrors and lenses, Microscopes and telescopes. Defects of vision.

Prisms, deviation and dispersion, Minimum deviation. Visible spectrum.

Field due to a bar magnet, Magnetic moment, Elements of Earth’s magnetic field. Magnetometers. Dia, para and ferromagnetism. Electric charge, electric field and potential,

Coulomb’s Law.

Electric current; electric cells, e.m.f. resistance, ammeters and voltmeters. Ohm’s law; resistances in series and parallel, specific resistance and conductivity. Heating effect of current.

Wheatstone’s bridge, Potentiometer. Magnetic effect of current; straight wire, coil and solenoid electromagnet; electric bell.

Force on a current-carrying conductor in magnetic field; moving coil galvanometers; conversion to ammeter or voltmeter.

Chemical effects of current; Primary and storage cells and their functioning, Laws of electrolysis.

Electromagnetic induction; Simple A.C. and D.C. generators. Transformers, Induction coil, Cathode rays, discovery of the electron, Bohr model of the atom. Diode and its use as a rectifier.

Production, properties and uses of Xrays. Radioactivity; Alpha, Beta and Gamma rays.

Nuclear energy; fission and fusion, conversion of mass into energy, chain reaction.

(II) CHEMISTRY

Physical Chemistry

1. Atomic structure; Earlier models in brief. Atom as at three dimensional model. Orbital concept. Quantum numbers and their significance, only elementary treatment.

Pauli’s Exclusion Principle. Electronic configuration. Aufbau Principle, s.p.d. and f. block elements.

Periodic classification only long form. Periodicity and electronic configuration. Atomic radii, Electro-negativity in period and groups.

2. Chemical Bonding, electro-valent, covalent, coordinate covalent bonds. Bond Properties, sigma and Pie bonds, Shapes of simple molecules like water, hydrogen sulphide, methane and ammonium chloride. Molecular association and hydrogen bonding.

3. Energy changes in a chemical reaction. Exothermic and Endothermic Reactions. Application of First Law of Thermodynamics, Hess’s Law of constant heat summation.

4. Chemical Equilibria and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. (Qualitative treatment based on Le Chatelier’s Principle). Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.

5. Solutions : True solutions, colloidal solutions and suspensions. Colligative properties of dillute solutions and determination of Molecular weights of dissolved substances. Elevation of boiling points. Depressions of freezing point, osmotic pressure. Raoult’s Law (nonthermodynamic treatment only).

6. Electro-Chemistry : Solution of Electrolytes, Faraday’s Laws of Electrolysis, ionic equilibria, Solubility product.

Strong and weak electrolytes. Acids and Bases (Lewis and Bronstead concept). pH and Buffer solutions.

7. Oxidation — Reduction; Modern, electronics concept and oxidation number. 

8. Natural and Artificial Radioactivity: Nuclear Fission and Fusion. Uses of Radioactive isotopes.

Inorganic Chemistry

Brief Treatment of Elements and their industrially important compounds :

1. Hydrogen : Position in the periodic table. Isotopes of hydrogen. Electronegative and electropositive character. Water, hard and soft water, use of water in industries, Heavy water and its uses.

2. Group I Elements : Manufacture of sodium hydroxide, sodium carbonate, sodium bicarbonate and sodium chloride.

3. Group II Elements : Quick and slaked lime. Gypsum, Plaster of Paris. Magnesium sulphate and Magnesia.

4. Group III Elements: Borax, Alumina and Alum.

5. Group IV Elements : Coals, Coke and solid Fuels, Silicates, Zolitis semi-conductors. Glass (Elementary treatment).

6. Group V Elements. Manufacture of ammonia and nitric acid. Rock Phosphates and safety matches.

7. Group VI Elements. Hydrogen peroxide, allotropy of sulphur, sulphuric acid. Oxides of sulphur.

8. Group VII Elements. Manufacture and uses of Fluorine, Chlorine, Bromine and Iodine, Hydrochloric acid. Bleaching powder.

9. Group O. (Noble gases) Helium and its uses.

10. Metallurgical Processes : General Methods of extraction of metals with specific reference to copper, iron, aluminium, silver, gold, zinc and lead. Common alloys of these metals; Nickel and manganese steels.

Organic Chemistry

1. Tetrahedral nature of carbon, Hybridisation and sigma pie bonds and their relative strength. Single and multiple bonds. Shapes of molecules. Geometrical and optical isomerism.

2. General methods of preparation, properties and reaction of alkanes, alkenes and alkynes, Petroleum and its refining. Its uses as fuel.

Aromatic hydrocarbons : Resonance and aromaticity. Benzene and Naphthalene and their analogues. Aromatic substitution reactions.

3. Halogen derivatives : Chloroform, Carbon Tetrachloride, Chlorobenzene, D.D.T. and Gammexane.

4. Hydroxy Compounds : Preparation, properties and uses of Primary, Secondary and Tertiary alcohols, Methanol, Ethanol, Glycerol and Phenol, Substitution reaction at aliphatic carbon atom.

5. Ethers; Diethyl ether.

6. Aldehydes and ketones : Formaldehyde, Acetaldehyde, Benzaldehyde, acetone, acetophenone.

7. Nitro compounds amines: Nitrobenzene TNT, Anlline, Diazonium Compounds, Azodyes.

8. Carboxylic acid : Formic, acetic, denezoic and salicylic acids, acetyl salicylic acid.

9. Esters : Ethylacerate, Methyl salicylates, 

10. Polymers : Polythene, Teflon, Perpex, Artificial Rubber, Nylon and Polyester fibers.ethylbenzoate.

11. Nonstructural treatment of Carbohydrates, Fats and Lipids, amino acids and proteins - Vitamins and hormones.

Paper-III

MATHEMATICS

1. Algebra :

Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping — examples, Binary operation on a set — examples.

Representation of real numbers on a line. Complex numbers: Modulus, Argument, Algebraic operations on complex numbers. Cube roots of unity. Binary system of numbers, Conversion of a decimal number to a binary number and viceversa. Arithmetic, Geometric and Harmonic progressions. Summation of series involving A.P., G.P., and H.P.. Quadratic equations with real co-efficients. Quadratic expressions: extreme values. Permutation and Combination, Binomial theorem and its applications.

Matrices and Determinants: Types of matrices, equality, matrix addition and scalar multiplication - properties. Matrix multiplication — non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Co-factors. Properties of determinants. Singular and non-singular matrices. Adjoint and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables- elimination method, Cramers rule and Matrix inversion method (Matrices with m rows and n columns where m, n < to 3 are to be considered).

Idea of a Group, Order of a Group, Abelian group. Identitiy and inverse elements- Illustration by simple examples.

2. Trigonometry :

Addition and subtraction formulae, multiple and sub-multiple angles. Product and factoring formulae. Inverse trigonometric functions — Domains, Ranges and Graphs. DeMoivre's theorem, expansion of Sin n0 and Cos n0 in a series of multiples of Sines and Cosines. Solution of simple trigonometric equations. Applications: Heights and Distance.

3. Analytic Geometry (two dimensions):

Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y — condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonality of two cricles. Standard equations of parabola, ellipse and hyperbola — parametric equations, equations of tangent and normal at a point in both cartesian and parametric forms.

4. Differential Calculus:

Concept of a real valued function — domain, range and graph. Composite functions, one to one, onto and inverse functions, algebra of real functions, examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits - examples. Continuity of functions - examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative - applications. Derivative of sum, product and quotient of functions derivative of a function with respect to another function, derivative of a composite function, chain rule. Second order derivatives. Rolle's theorem (statement only), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.

5. Integral Calculus and Differential equations :

Integral Calculus : Integration as inverse of differential, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integralsdetermination of areas of plane regions bounded by curves - applications.

Differential equations : Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types - examples. Solution of second order homogeneous differential equation with constant co-efficients.

6. Vectors and its applications :

Magnitude and direction of a vector, equal vectors, unit vector, zero vector, vectors in two and three dimensions, position vector. Multiplication of a vector by a scalar, sum and difference of two vectors, Parallelogram law and triangle law of addition. Multiplication of vectors —scalar product or dot product of two vectors, perpendicularity, commutative and distributive properties. Vector product or cross product of two vectors. Scalar and vector triple products. Equations of a line, plane and sphere in vector form - simple problems. Area of a triangle, parallelogram and problems of plane geometry and trigonometry using vector methods. Work done by a force and moment of a force.

7. Statistics and probability :

Statistics : Frequency distribution, cumulative frequency distribution - examples. Graphical representation - Histogram, frequency polygon - examples. Measure of central tendency - mean, median and mode. Variance and standard deviation - determination and comparison. Correlation and regression.

Probability : Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability : classical and statistical - examples. Elementary theorems on probability -simple problems. Conditional probability, Bayes' theorem - simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.

Personality Test

Each candidate will be interviewed by a Board who will have before them a record of his career both academic and extramural. They will be asked questions on matters of general interest. Special attention will be paid to assessing their potential qualities of leadership, initiative and intellectual curiosity, tact and other social qualities, mental and physical energy, power of practical application and integrity of character.