Bitsat Syllabus

This evidence is designed to assess the test takers general proficiency in the substance abuse ofEnglish languageas a authority of self- reflection in reliable life situations and specifically to test the test takers knowledge of raw material grammar, their vocabulary, their exponent to read fast and comprehend, and also their ability to apply the elements of effective writing. 1. Grammar 1. Agreement, eon and Tense, Parallel construction, Relative pronouns 2. Determiners, Pre government agencys, Modals, Adjectives . Voice, Transformation 4. Question tags, Phrasal verbs 2. Vocabulary 1. Synonyms, Antonyms, droll Word, One Word, Jumbled letters, Homophones, Spelling 2. Contextual meaning. 3. Analogy 3. Reading comprehension 1. Content/ideas 2. Vocabulary 3. Referents 4. Idioms/Phrases 5. Reconstruction (rewording) 4. Composition 1. Rearrangement 2. Paragraph Unity 3. Linkers/Connectives tenacious Reasoning The test is granted to the prognosissto judge their power of reasoni ng beam in verbal and nonverbal argonas.Thecandidatesshould be able to swervek logically so that they perceive the data accu rovely, understand the relationships properly, figure out the deficient subroutines or words, and to apply endures to new and different contexts. These indicators are careful through performance on much(prenominal) tasks as detecting scatty links, following directions, classifying words, establishing sequences, and completing analogies. Verbal Reasoning 1. Analogy Analogy means correspondence. In the questions based on analogy, a specific relationship is attached and another similar relationship has to be identified from the alternatives provided. . sorting compartmentalisation means to assort the items of a given group onthe behindof certain common quality they possess and then spot the rum option out. 3. Series Completion Here serial of numbers or letters are given and one is asked to either complete the series or find out the wrong part in t he series. 4. consistent Deduction Reading Passage Here a brief loss is given and based on the passage the candidate is required to head the correct or incorrect logical conclusions. 5. Chart LogicHere a map or a table is given that is partially filled in and asks to complete it in accordance with the information given either in the chart / table or in the question. 6. Nonverbal Reasoning a. var. Perception Here a certain pattern is given and in general a quarter is left blank. The candidate is required to identify the correct quarter from the given four alternatives. b. Figure Formation and Analysis The candidate is required to analyze and form a figure from various given parts. c. Paper CuttingIt involves the analysis of a pattern that is formed when a folded eyepatch of paper is cut into a definite design. d. Figure Matrix In this more than one come down of figures is given in the form of a matrix, all of them following the same rule. The candidate is required to follow the rule and identify the missing figure. e. Rule contracting Here a particular rule is given and it is required to select from the given sets of figures, a set of figures, which obeys the rule and forms the correct series. BITSAT 2010 Chemistry course of instruction 1. enjoins of Matter 1.Measurement Physical quantities and SI units,Dimensional analysis, Precision,Significant figures. 2. Chemicalreactions practice of laws of chemiccombination, Daltons ingredientic scheme bulwark concept Atomic, molecular(a)and molar tradees Percentage composition angstrom unitmolecularformula Balancedchemicalequations angstrom stoichiometry 3. Gaseous relegate Kinetic theory Maxwell distribution of velocities, Average, root mean square and most seeming velocities and relation totemperature, Diffusion Deviation from ideal behaviour Criticaltemperature, Liquefaction of gases, avant-garde der Waals equation. . Liquid stateVapour pressure, surface tension, viscosity. 5. Solid state misc ellany Space lattices deoxyadenosine monophosphate crystal establishments Unit cell Cubic group A hexagonal systems Close packing Crystal structures honest AB and AB2 oddball ionic crystals, covalent crystals diamond amp graphite, metals. Imperfections- Point defects, non-stoichiometric crystals Electrical, magnetic and nonconductorproperties Amorphous solids qualitative description. 2. Atomic Structure 1. Introduction Subatomic particles Rutherfords encounter of atom Hydrogen atom spectrum and Bohr model. 2.Quantum mechanics Wave-particle duality de Broglie relation, distrust principle Hydrogen atom Quantum numbers and wavefunctions, atomic orbitals and their shapes (s, p, and d), Spin quantum number. 3. legion(predicate) electron atoms Pauli exclusion principle Aufbau principle and the electronic configuration of atoms, Hunds rule. 4. periodicity day-by-day law and the modern periodic table Types of elements s, p, d, and f blocks Periodic trends ionization competenc y, atomic and ionic radii, electron affinity, and valency. 5. Nucleus Natural and faux radio occupation Nuclearreactions, Artificial transmutation ofelements. . ChemicalBonding amp molecularStructure1. Ionic Bond Lattice Energy and Born-Haber cycle 2. MolecularStructure Lewis picture amp ring structures, VSEPR model ampmolecularshapes 3. Covalent Bond Valence Bond Theory- Orbital overlap, Directionality of bonds amp hybridistaion (s amp p orbitals only), ResonanceMolecularorbital theory- Methodology, Orbital verve level diagram, Bond club, magneticpropertiesfor homonuclear diatomic species. 4. Metallic Bond soft description. 5. Intermolecular Forces Polarity Dipole moments Hydrogen Bond. 4.Thermodynamics 1. Basic Concepts Systems and surroundings State functions Intensive amp ExtensiveProperties Zeroth Law andTemperature 2. First Law of Thermodynamics Work, internal energy, ignite, enthalpy, heat capacities Enthalpies of formation, phase transformation, ionization, electron g ain Thermointerpersonal chemistry Hesss Law. 3. Second and 3rd Laws Spontaneous and reversible processes entropy Gibbs free energy related to spontaneity and non-mechanical work Standard free energies of formation, free energy variety andchemicalequilibrium Third Law and Absolute Entropies. . Physical andChemicalEquilibria 1. tightness Units Mole Fraction, Molarity, and Molality 2. Solutions solvability of solids and gases in liquids,Vapour Pressure, Raoults law, Relative backbreaking ofvapour pressure, depression in freezing point elevation in boiling point osmotic pressure, intent ofmolecularmass. 3. Physical sense of balance Equilibria involving physical changes (solid-liquid, liquid-gas, solid-gas), Adsorption, Physical andChemicaladsorption, Langmuir Isotherm. 4.ChemicalEquilibria Equilibrium constants (KP, KC), Le-Chateliers principle. 5. Ionic Equilibria Strong and wonky electrolytes, Acids and Bases (Arrhenius, Lewis, Lowry and Bronsted) and their dissociation Ionizat ion of Water pH Buffer solutions Acid-base titrations Hydrolysis Solubility output of Sparingly Soluble Salts Common Ion movement. 6. Factors Affecting Equilibria Concentration,Temperature, Pressure, Catalysts, Significance of DG and DG0 inChemicalEquilibria. 6. Electrochemistry 1.RedoxReactions Oxidation-reductionreactions(electron transfer concept) Oxidation number Balancing of redoxreactions Electrochemical cells and cellreactions Electrode potentials EMF of Galvanic cells Nernst equation Gibbs energy change and cell potential Concentration cells Secondary cells Fuel cells Corrosion and its prevention. 2. electrolytic condenser Conduction Electrolytic Conductance Specific, equivalent and molar conductivities Kolhrauschs Law and its application, Faradays laws of electrolysis Electrode potential and electrolysis, commercialised production of the chemicals, NaOH, Na, Al, C12, & F2 7.ChemicalKinetics 1. Aspects of Kinetics Rate and Rate expression of a reaction Rate constant Order of reaction incorpo posed rate expressions for zero and low orderreactions Half-life Determination of rate constant and order of reaction 2. Factor Affecting the Rate of theReactionsTemperature habituation of rate constant Activation energy Catalysis, Surface catalysis, enzymes, zeolites Factors affecting rate of collisions among molecules Effect of leisurely. 3. Mechanism of Reaction Elementaryreactions ComplexreactionsReactionsinvolving 2/three steps only Photochemicalreactions Concept of fastreactions. . hot isotopes Half-life period Radiochemical dating. 8. Hydrogen and s-block elements 1. Hydrogen Element unique position in periodic table, occurrence, isotopes Dihydrogen preparation,properties,reactions, and usesMolecular, saline, interstitial hydrides WaterProperties Structure and aggregation of wet moleculesHard and soft water Heavy water Hydrogen peroxide. 2. s-block elements teemingness and occurrence Anomalouspropertiesof the first elements in each group bias relationships. 3.Alkali metals Lithium, sodium and potassium occurrence, extraction, reactivity, and electrode potentialsReactionswith oxygen, hydrogen, halogens and liquid ammonia Basic nature of oxides and hydroxides HalidesPropertiesand uses of compounds such as NaCl, Na2CO3, NaHCO3, NaOH, KCl, and KOH. 4. Alkaline earth metals Magnesium and calcium Occurrence, extraction, reactivity and electrode potentialsReactionswith non-metals Solubility and thermal stability of oxo saltinesssPropertiesand uses of important compounds such as CaO, Ca(OH)2, plaster of Paris, MgSO4, MgCl2, CaCO3, and CaSO4 birdlime and limestone, cement. . p- d- and f-block elements 1. usual Abundance, distribution, physical andchemicalproperties, isolation and uses of elements Trends inchemicalreactivity of elements of a group Extraction and refining of metals. 2. Group 13 elements barnPropertiesand uses of borax,boric back breaker, boron hydrides & halides. Reaction of aluminum with acids and alkalis 3. Group 14 elements Carbon Uses, Allotropes (graphite, diamond, fullerenes), oxides, halides and sulphides, carbides Silicon Silica, silicates, silicones Tin and lead Extraction, halides and oxides. . Group 15 elements Di north responsiveness and uses of nitrogen and its compounds industrial and biological nitrogen fixation Ammonia Habers process,propertiesandreactions Oxides of nitrogen and their structures Ostwalds process of nitric acid production Fertilizers NPK type Production of phosphorus Allotropes of phosphorus Preparation, structure andpropertiesof hydrides, oxides, oxoacids and halides of phosphorus. 5.Group 16 elements Isolation andchemicalreactivity of dioxygen Acidic, raw material and amphoteric oxides Preparation, structure andpropertiesof ozone Allotropes of sulphur Production of sulphur and sulphuric acid Structure andpropertiesof oxides, oxoacids, hydrides and halides of sulphur. 6. Group 17 and group 18 elements Structure andpropertiesof hydrides, oxides, oxo acids of chlorine Inter halogen compounds Bleaching Powder Preparation, structure andreactionsof xenon fluorides, oxides, and oxoacids. 7. -block elements General trends in the chemistry of first row transition elements Metallic character Oxidation state Ionic radii Catalytic properties Magnetic properties Interstitial compounds Occurrence and extraction of iron, copper, silver, zinc, and hydrargyrum Alloy formation Steel and some important alloys preparation and properties of CuSO4, K2Cr2O7, KMnO4, atomic number 80 halides Silver nitrate and silver halides Photography. 8. f-block elements Lanthanides and actinides Oxidation states and chemical reactivity of lanthanide compounds Lanthanide contraction Comparison of actinides and lanthanides. . Coordination Compounds Coordination number Ligands Werners coordination theory IUPAC nomenclature natural covering and importance of coordination compounds (in qualitative analysis, extraction of metals and biological systems e. g. chlorop hyll, vitamin B12, and hemoglobin) Bonding Valence-bond approach, Crystal theater theory (qualitative) Stability constants Shapes, color and magnetic properties Isomerism including stereoisomerisms Organometallic compounds. 10. Principles of Organic Chemistry and Hydrocarbons 1.Classification found on functional groups, trivial and IUPAC nomenclature. 2. Electronic displacement in a covalent bond Inductive, resonance effects, and hyperconjugation free radicals carbocations, carbanion, nucleophile and electrophile types of reactions. 3. Alkanes and cycloalkanes Structural isomerism and general properties. 4. Alkenes and alkynes General methods of preparation and reactions, physical properties, electrophilic and free radical profits, acidic character of alkynes and (1,2 and 1,4) access to dienes. 5.Aromatic hydrocarbons Sources Properties Isomerism Resonance delocalization polynuclear hydrocarbons mechanism of electrophilic substitution reaction, directive influence and effect of substituents on reactivity. 6. Haloalkanes and haloarenes Physical properties, chemical reactions. 7. Petroleum Composition and refining, uses of petrochemicals. 11. Stereochemistry 1. Introduction Chiral molecules Optical activity Polarimetry R,S and D,L configurations Fischer projections Enantiomerism Racemates Diastereomerism and meso structures. . Conformations Ethane, propane, n-butane and cyclohexane conformations Newman and sawhorse projections. 3. Geometrical isomerism in alkenes 12. Organic Compounds with Functional Groups Containing Oxygen and northward 1. General Electronic structure, important methods of preparation, important reactions and physical properties of alcohols, phenols, ethers, aldehydes, ketones, carboxylic acids, nitro compounds, amines, diazonium salts, cyanides and isocyanides. 2.Specific Effect of substituents on alpha-carbon on acid strength, comparative reactivity of acid derivatives, basic character of amines and their separation, importance of diazo nium salts in synthetic organic chemistry 13. Biological, Industrial and Environmental chemistry 1. The Cell Concept of cell and energy cycle. 2. Carbohydrates Classification Monosaccharides Structures of pentoses and hexoses Anomeric carbon Muta whirling Simple chemical reactions of glucose, Disaccharides reducing and non-reducing sugars sucrose, maltose and lactose Polysaccharides elemental idea of structures of starch and cellulose. . Proteins Amino acids Peptide bond Polypeptides Primary structure of proteins Simple idea of secondary , tertiary and quarternary structures of proteins Denaturation of proteins and enzymes. 4. Nucleic Acids Types of nucleic acids Primary building blocks of nucleic acids (chemical composition of desoxyribonucleic acid amp RNA) Primary structure of DNA and its triple helix issue Transcription and protein synthesis Genetic code. 5. Lipids, Hormones, Vitamins Classification, structure, functions in biosystems. 6.Polymers Classification of polymers G eneral methods of polymerization Molecular mass of polymers Biopolymers and biodegradable polymers Free radical, cationic and anionic addition polymerizations Copolymerization Natural rubber Vulcanization of rubber Synthetic rubbers. Condensation polymers. 7. contamination Environmental pollutants soil, water and air pollution Chemical reactions in cash dispenser Smog Major atmospheric pollutants Acid rain Ozone and its reactions Depletion of ozone layer and its effects Industrial air pollution Green house effect and spheric warming Green Chemistry. . Chemicals in medicine, health-care and food Analgesics, Tranquilizers, antiseptics, disinfectants, anti-microbials, anti-fertility drugs, antihistamines, antibiotics, antacids Cosmetics Creams, perfumes, talcum powder, deodorants Preservatives, artificial hook agents, antioxidants, and edible colours. 9. Other Industrial Chemicals Dyes Classification with examples Indigo, methyl orange, phenylamine yellow, alizarin, malachite on e thousand Advanced materials Carbon fibers, ceramics, micro alloys Detergents Insect repellents, pheromones, sex attractants Rocket Propellants. 4. supposed Principles of Experimental Chemistry 1. Volumetric Analysis Principles Standard solutions of sodium carbonate and oxalic acid Acid-base titrations Redox reactions involving KI, H2SO4, Na2SO3, Na2S2O3and H2S Potassium permanganate in acidic, basic and neutral media Titrations of oxalic acid, ferric ammonium sulphate with KMnO4, K2 Cr2O7/Na2S2O3, Cu(II)/Na2S2O3 2. Qualitative analysis of Inorganic Salts Principles in the object of the cations Pb2+, Cu2+, As3+, Mn2+, Zn2+, Co2+, Ca2+, Sr2+, Ba2+, Mg2+, NH4+, Fe3+, Ni2+ and the anions CO32-, S2-,SO42-, SO32-, NO2-, NO3-, Cl-, Br-, I-, PO43-, CH3COO-, C2O42-. 3. Physical Chemistry Experiments crystallization of alum, copper sulphate, ferrous sulphate, double salt of alum and ferrous sulphate, potassium ferric sulphate Temperature vs. solvability pH measurements Lyophilic and lyop hobic sols Dialysis Role of emulsifying agents in emulsification. Equilibrium studies involving (i) ferric and thiocyanate ions (ii) Co(H2O)62+ and chloride ions Enthalpy intention for (i) strong acid vs. trong base neutralization reaction (ii) hydrogen hold fast interaction in the midst of acetone and chloroform Rates of the reaction between (i) sodium thiosulphate and hydrochloric acid, (ii) potassium iodate and sodium sulphite (iii) iodide vs. hydrogen peroxide, concentration and temperature effects in these reactions 4. Purification Methods Filtration, crystallization, sublimation, distillation, derivative instrument extraction, and chromatography. Principles of melting point and boiling point determination principles of paper chromatographic separation Rf values. 5.Qualitative Analysis of Organic Compounds Detection of nitrogen, sulphur, phosphoric and halogens Detection of carbohydrates, fats and proteins in foodstuff Detection of alcoholic, phenolic, aldehydic, ketonic, carboxylic, amino groups and unsaturation. 6. vicenary Analysis of Organic Compounds Basic principles for the quantitative estimation of carbon, hydrogen, nitrogen, halogen, sulphur and phosphorous Molecular mass determination by silver salt and chloroplatinate salt methods Elementary idea of mass spectrometer for accurate molecular mass determination Calculations of empirical and molecular formulae. . Principles of Organic Chemistry Experiments Preparation of iodoform, acetanilide, p-nitro acetanilide, di-benzyl acetone, aniline yellow, beta-naphthol Preparation of acetylene and study of its acidic character. BITSAT 2010 Physics Syllabus 1. Units amp Measurement 1. Units (Different systems of units, SI units, fundamental and derived units) 2. Dimensional Analysis 3. Precision and momentous figures 4. cardinal measurements in Physics (Vernier calipers, screw gauge, Physical balance etc) 2. Kinematics 1. Properties of vectors 2. Position, speeding and acceleration vectors . Motio n with constant acceleration 4. Projectile performance 5. invariant circular motion 6. Relative motion 3. Newtons Laws of Motion 1. Newtons laws (free body diagram, upshot of armys) 2. Motion on an inclined plane 3. Motion of blocks with pulley systems 4. card motion centripetal force 5. Inertial and non-inertial frames 4. Impulse and Momentum 1. rendering of impulse and momentum 2. Conservation of momentum 3. Collisions 4. Momentum of a system of particles 5. Center of mass 5. Work and Energy 1. Work done by a force 2. Kinetic energy and work-energy theorem 3.Power 4. Conservative forces and potential energy 5. Conservation of mechanical energy 6. Rotational Motion 1. Description of rotation (angulate displacement, angular velocity and angular acceleration) 2. Rotational motion with constant angular acceleration 3. Moment of inertia, Parallel and perpendicular axes theorems, rotational kinetic energy6. 4 Torque and angular momentum 4. Conservation of angular momentum 5. who rl motion 7. Gravitation 1. Newtons law of gravitation 2. Gravitational potential energy, natural spring velocity 3. Motion of planets Keplers laws, satellite motion . Mechanics of Solids and Fluids 1. Elasticity 2. Pressure, engrossment and Archimedes principle 3. Viscosity and Surface Tension 4. Bernoullis theorem 9. Oscillations 1. Kinematics of simple harmonic motion 2. Spring mass system, simple and compound pendulum 3. Forced amp damped oscillations, resonance 10. Waves 1. Progressive sinusoidal waves 2. Standing waves in strings and pipes 3. Superposition of waves get the better of 11. Heat and Thermodynamics 1. Kinetic theory of gases 2. Thermal equilibrium and temperature 3. Specific heat 4. Work, heat and first law of thermodynamics 5. nd law of thermodynamics, Carnot engine force and Coefficient of performance 12. motionlesss 1. Coulombs law 2. Electric field (discrete and continuous charge distributions) 3. Electrostatic potential and Electrostatic potential energ y 4. Gauss law and its applications 5. Electric dipole antenna 6. Capacitance and dielectrics (parallel plate capacitor, capacitors in series and parallel) 13. Current Electricity 1. Ohms law, joule heating 2. D. C circuits Resistors and cells in series and parallel, Kirchoffs laws, potentiometer and Wheatstone bridge, 3.Electrical Resistance (Resistivity, agate line and temperature dependence of resistivity). 14. Magnetic Effect of Current 1. Biot-Savarts law and its applications 2. Amperes law and its applications 3. Lorentz force, force on authoritative carrying conductors in a magnetic field 4. Magnetic moment of a current loop, torque on a current loop, Galvanometer and its conversion to voltmeter and ammeter 15. electromagnetic Induction 1. Faradays law, Lenzs law, eddy currents 2. Self and mutual inductor 3. Transformersand generators 4. Alternating current (peak and rms value) . AC circuits, LCR circuits 16. Optics 1. Laws of reflection and refraction 2. Lenses and mirro rs 3. Opticalinstruments mash andmicroscope 4. Interference Huygens principle, Youngs double slit experiment 5. Interference in thin films 6. Diffraction due to a single slit 7. Electromagnetic waves and their characteristics (only qualitative ideas), Electromagnetic spectrum 8. Polarization states of polarization, Malus law, Brewsters law 17. Modern Physics 1. Dual nature of light and matter Photoelectric effect. De Broglie wavelength 2.Atomic models Rutherfords experiment, Bohrs atomic model 3. Hydrogen atom spectrum 4. Radioactivity 5. Nuclear reactions Fission and fusion, binding energy BITSAT 2010 Mathematics Syllabus 1. Algebra 1. Complex numbers, addition,multiplication, conjugation, polar representation,propertiesof modulus and principal argument, triangle inequality, roots of complex numbers, geometrical comments. 2. Theory ofQuadratic equations,quadratic equationsin real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible toquadratic equations. . Logarithms and theirproperties. 4. Arithmetic,geometricand harmonic progressions, arithmetic,geometricand harmonic means, arithmetico-geometricseries, sums of finite arithmetic andgeometricprogressions, infinitegeometricseries, sums of squares and cubes of the first n natural numbers. 5. Exponential series. 6. Permutations and combinations, Permutations as an arrangement and combination as selection, simple applications. 7. Binomial theorem for a positive integral index,propertiesof binomial coefficients. 8.Matrices and determinants of order two or three,propertiesand evaluation of determinants, addition andmultiplicationof matrices, adjoint and inverse of matrices, Solutions of concurrent linear equations in two or three variables. 9. Sets, Relations and Functions, algebra of sets applications, compare relations, mappings, one-one, into and onto mappings, composition of mappings. 10. Mathematical Induction 11. Linear Inequalitie s, solution of linear inequalities in one and two variables. 2. Trigonometry 1. Trigonometric ratios, functions and identities. . Solution of trigonometric equations. 3. Propertiesof triangles and solutions of triangles 4. inverse trigonometric functions 5. Heights and outer spaces 3. Two-dimensional organize Geometry 1. Cartesian coordinates, distance between two points, section formulae, shift of origin. 2. Straight lines and pair of groovy lines equation of straight lines in various forms, angle between two lines, distance of a point from a line, lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrent lines. .Circles and family of circles equivalence of circle in various form, equation of tangent, normal amp chords, parametric equations of a circle , intersection of a circle with a straight line or a circle, equation of circle through point of intersection of two circles, conditions for two intersecting circles to be orthogonal. 4. Conic sections parabola, oval and hyperbola their eccentricity, directrices amp foci, parametric forms, equations of tangent amp normal, conditions for y=mx+c to be a tangent and point of tangency. . Three dimensional Coordinate Geometry 1. Direction cosines and direction ratios, equation of a straight line in space and skew lines. 2. Angle between two lines whose direction ratios are given 3. Equation of a plane, distance of a point from a plane, condition for coplanarity of three lines. 5. Differential calculus 1. Domain and range of a real valued function, Limits and Continuity of the sum, difference, product and quotient of two functions, Differentiability. 2.Derivative of different types of functions (polynomial, rational, trigonometric, inverse trigonometric, exponential, logarithmic, implicit functions), derivative of the sum, difference, product and quotient of two functions, chain rule. 3. Geometricinterpretation of derivative, Tangents and No rmals. 4. Increasing and decreasing functions, Maxima and minima of a function. 5. Rolles Theorem, Mean entertain Theorem and Intermediate Value Theorem. 6. Integral calculus 1. Integration as the inverse process of differentiation, unclear integrals of standard functions. . Methods of integrating Integration by substitution, Integration by parts, integration by partial fractions, and integration by trigonometric identities. 3. Definite integrals and theirproperties, Fundamental Theorem of Integral Calculus and its applications. 4. Application of definite integrals to the determination of areas of regions bounded by simple curves. 7. Ordinary Differential Equations 1. Variables separable method. 2. Solution of homogeneous differential equations. 3. Linear first order differential equations 8.Probability 1. Addition andmultiplicationrules of probability. 2. qualified probability 3. Independent events 4. Discrete random variables and distributions 9. Vectors 1. Addition of vectors , scalarmultiplication. 2. point in time and cross products of two vectors. 3. Scalar triple products and their geometrical interpretations. 10. Statistics 1. Measures of dispersion 2. Measures of skewness and Central Tendency 11. Linear programme 1. Formulation of linear Programming 2. Solution oflinear Programming, using graphical method.