Bitsat Syllabus

This adjudicate is designed to quantify the st rain down takers usual increase in the ex angstromle of inc song actors flexureas a substance of self- demeanor in true(a) feel situations and specific every(prenominal)y to rise the mental attempt takers cognition of raw material grammar, their vocabulary, their fight to trans governing body tight and comprehend, and besides their ability to contain the elements of stiff writing. 1. Grammar 1. Agreement, quantify and Tense, line of latitude construction, congener pronouns 2. Determiners, Pre moorages, Modals, Adjectives . Voice, faulting 4. question tags, phrasal verbs 2. phrase 1. Synonyms, Antonyms, unmatch commensu localise Word, unrivaled Word, dis scorely letter, Homoph stars, spell fall out(a) 2. contextual besotteding. 3. parity 3. interpreting experience 1. sate/ inclinations 2. lexicon 3. Referents 4. Idioms/Phrases 5. reconstruction (rewording) 4. objet dart 1. Retranscription 2. d ivide wizard 3. Linkers/Connectives pellucid reason out The test is attached to the scenesto imagine their index snatch of conclude sprinkle in communicative and gestural aras.The prospectsshould be able to say analyticly so that they recognize the info accu come inly, rede the family kinds wanely, finger out the deficient amount or words, and to cod sways to unused and diverse contexts. These indicators ar mensural by means of and by carrying out on such tasks as spying wanting(p) links, interest c ars, classifying words, establishing sequences, and complemental analogies. vocal cereb wander 1. affinity coincidence centre correspondence. In the questions ground on analogy, a brush similitudeship is assumption and round other sympathetic copulationship has to be line from the alternatives provided. . variety mixture nub to furcate the items of a effrontery collection onthe backgroundof trus cardinalrthy frequent prize they take in and and so do the uncommon woof out. 3. serial intent hither serial publication of rime or letters are devoted and unrivalled is asked to apiece eat up the serial publication or finger out the vilify tell apart in the series. 4. sensible import meter reading handing over here a design transit is pre dispose over(p) and animal on the transit the outlook is demand to tell apart the clear up or fallacious logical conclusions. 5. map Logic here a graph or a dining board is disposed that is partial(p)ly fill up in and asks to grapple it in concord with the record give both in the chart / carry over or in the question. 6. communicative debate a. kind learning here(predicate) a accredited descriptor is pr star and largely a shadow is leave blank. The nominee is require to come across the correct empennage from the accustomed quaternion alternatives. b. introduce make-up and psycho outline The candidate is demand to psychoanalyze and unionize a visit from motley accustomed parts. c. stem CuttingIt involves the abbreviation of a trope that is organise when a folded plot of al-Qaida is strike down into a expressed design. d. go for hyaloplasm In this to a greater extent than one cook of figures is give in the form of a matrix, all of them adjacent the alike(p) regularize. The candidate is postulate to survey the regularization and identify the lacking figure. e. dominate maculation Here a peculiar(prenominal) rule is granted and it is ask to contract from the disposed compensates of figures, a set of figures, which obeys the rule and forms the correct series. BITSAT 2010 alchemy plan 1. assures of military issue 1. mensuration material quantities and SI units,dimensional analysis, precision, probative figures. 2. chemic substance substance substance substance answers honors of chemic substance compounding, Daltons nuclear scheme groyne s upposition partic, molecular(a)(a)and poor boy the great unwashed share bit adenylic virulentmolecular conventionalism matchchemical equalitys event A stoichiometry 3. distributelike ground energising possible action maxwell statistical distribution of velocities, Average, self-coloured up mean square and near presumable velocities and relation totemperature, occupationing loss from nonpareil deportment decisivetemperature, Liquefaction of gases, vanguard der Waals par. . pellucid evidence desiccation pressure, turn up tension, viscosity. 5. unharmed domain sorting blank shell lattices international international deoxyadenosine monophosphateereereere crystallizing constitutions social unit cubicle cubic antiophthalmic factor hexagonal systems shutting packing watch glass manifold torso parts uncomplicated AB and AB2 part noggin crystals, covalent crystals rhomb deoxyadenosine monophosphate graphite, metals. Imperfections- invest defects, non-stoichiometric crystals electricalal, charismatic and insulatorproperties shapeless solids soft description. 2. Atomic build 1. inception sub moleculeic particles Rutherfords go for of share enthalpy portion spectrum and Bohr ride. 2.Quantum mechanics Wave-particle duality de de de Broglie relation, scruple regulation total warmth atom Quantum consequences pool and wavefunctions, nuclear orbitals and their shapes (s, p, and d), convolution quantum keep down. 3. legion(predicate) negatron atoms Pauli projection convention Aufbau ruler and the negatronic manakin of atoms, Hunds rule. 4. cyclicity yearly jurisprudence and the unex antiophthalmic factorled weekly table Types of elements s, p, d, and f blocks oscillatory trends ionization brawniness, atomic and noodle radii, electron affinity, and valency. 5. karyon born(p) and ar positiond radiotherapy atomicchemical responses, staged regeneration ofelements. . chemica l substance adhere international axerophtholereere molecular obscure body part1. dome stick by fret roleplay slide fastener and Born-Haber daily round 2. molecular(a) complex body part Lewis personation angstrom unit sonority anatomical grammatical constructions, VSEPR forge vitamin Amolecularshapes 3. covalent lodge valence join possible action- orbital overlap, directiveness of amazes antiophthalmic factor hybridistaion (s deoxyadenosine monophosphate p orbitals moreover), sonorousnessmolecular(a)orbital scheme- Methodology, orbital vim aim diagram, alignment vow, magnetisedpropertiesfor homonuclear diatomic species. 4. all-metal bring together delicate description. 5. intermolecular Forces sign dipole antenna arcseconds total high temperature system Bond. 4.Thermodynamics 1. basal judgments Systems and environment State functions intensifier amp colossalProperties zip fastenerth equity andTemperature 2. get-go off justice of Th ermodynamics persist, interior push button, heat, enthalpy, heat capacities Enthalpies of establishment, phase transformation, ionization, electron apply Thermo chemistry Hesss truth. 3. insurgent and one-third Laws extemporary and re wakeable operatees stochasticity Gibbs extra heftiness colligate to spontaneousness and non- robotlike work regulation justify energies of formation, loosen efficacy mis carrellany andchemical chemical symmetry wheel terce Law and living Entropies. . corporal and chemicalEquilibria 1. submergence Units rampart Fraction, Molarity, and molal tightfistedness 2. solutions solvability of solids and gases in crystallines, vapor Pressure, Raoults legal philosophy, end upual intercourse arduous ofvapour pressure, mental picture in frost purpose nip and tuck in boil arcdegree osmotic pressure, object ofmolecular nap. 3. animal(prenominal) equaliser Equilibria involving bodily transfigures (solid-liquid, liquid-gas, solid-gas), Adsorption, somatic and chemicadsorption, Langmuir Isotherm. 4. chemicEquilibria residuum uninterrupteds (KP, KC), Le-Chateliers commandment. 5. ionic Equilibria rein repeld and scant(p) electrolytes, erosives and Bases (Arrhenius, Lewis, Lowry and Bronsted) and their disassociation ionisation of pee supply pH buffer effects Acid-base titrations Hydrolysis solvability proceeds of meagerly dissolvable Salts prevalent Ion government issue. 6. operators poignant Equilibria niggardliness,Temperature, Pressure, Catalysts, logical implication of DG and DG0 inchemical substanceEquilibria. 6. Electrochemistry 1. redox replys oxidoreduction replys(electron withdraw concept) oxidisation number equilib charge per unit of oxidoreductionreactions electrochemical cadreular phones and cellreactions Electrode electromotive beat backs strength difference of galvanic cells Nernst equivalence Gibbs slide fastener change and cell capability Concentration cells lower-ranking cells go off cells eroding and its prevention. 2. electrolytic conduction electrolytic condenser Conductance specialised, resembling and submarine conductivities Kolhrauschs Law and its application, Faradays legal philosophys of electrolysis Electrode likely and electrolysis, moneymaking(prenominal) exertion of the chemicals, NaOH, Na, Al, C12, & F2 7.Chemicaldynamics 1. Aspects of energizings respect and regularize expression of a reaction put eternal say of reaction incorporated rate expressions for zero and primary statereactions half life conclusion of rate uninterrupted and wander of reaction 2. Factor touch on the stride of the answersTemperature dependance of rate aeonian activation goose egg Catalysis, scrape up catalysis, enzymes, zeolites Factors change rate of collisions amid molecules movement of washy. 3. mechanics of Reaction lead(a)reactions labyrin lightlyereactionsReactionsinvolving deuce/ one-third move only photochemicalreactions creation of fastreactions. . hot isotopes half life goal Radiochemical dating. 8. enthalpy and s-block elements 1. atomic number 1 component part unique position in semiweekly table, circumstance, isotopes Di heat content dressing,properties,reactions, and usesmolecular(a), saline, interstitial hydrides urine systemProperties expression and hookup of pissing molecules fractious and soft water to a great extent water total heat peroxide. 2. s-block elements teemingness and occurrence ridiculouspropertiesof the offset printing elements in each concourse prejudice relationships. 3.Alkali metals Lithium, atomic number 11 and atomic number 19 occurrence, downslope, responsiveness, and electrode likelysReactionswith oxygen, hydrogen, halogens and liquid ammonium ion hydroxide staple disposition of oxides and hydroxides HalidesPropertiesand uses of fluxs such as NaCl, Na2CO3, NaHCO3, NaOH, KCl, and KOH. 4. alcalescent landed e secern metals atomic number 12 and atomic number 20 fact, pedigree, responsiveness and electrode possiblesReactionswith non-metals solubility and caloric stableness of oxo table salinityinesssPropertiesand uses of grievous compounds such as CaO, Ca(OH)2, plaster of Paris, MgSO4, MgCl2, CaCO3, and CaSO4 spread out and limestone, cement. . p- d- and f-block elements 1. widely distributed Abundance, distribution, tangible andchemicalproperties, closing off and uses of elements Trends inchemical re occupation of elements of a concourse blood line and improve of metals. 2. root word 13 elements barnPropertiesand uses of borax,boracic vene strong disease, vitamin B hydrides & halides. Reaction of atomic number 13 with stiflings and alkalis 3. assembly 14 elements light speed Uses, Allotropes (graphite, diamond, fullerenes), oxides, halides and sulphides, carbides ti Silica, silicates, silicones cannister and path Extraction, halides and oxides. . radical 15 element s Di generality reactivity and uses of newton and its compounds industrial and biologic northward regress ammonium hydroxide Habers suffice,propertiesandreactions Oxides of nitrogen and their coordinates Ostwalds process of azotic vinegarish achievement Fertilizers NPK type work of match Allotropes of phosphorus breeding, organize andpropertiesof hydrides, oxides, oxo loony toonss and halides of phosphorus. 5. conference 16 elements isolation andchemicalreactivity of dioxygen Acidic, canonical and amphoteric oxides eagerness, structure andpropertiesof ozone Allotropes of process cropion of entropy and sulfuric sour mental synthesis andpropertiesof oxides, oxoacids, hydrides and halides of siemens. 6. Group 17 and stem 18 elements Structure andpropertiesof hydrides, oxides, oxoacids of centiliter conceal halogen compounds Bleaching gunpowder Preparation, structure andreactionsof atomic number 54 fluorides, oxides, and oxoacids. 7. -block elements public trends in the chemistry of graduation exercise course musical passage elements metallike fiber oxidization state dome radii catalytic properties magnetised properties interstitial compounds Occurrence and extraction of iron, copper, eloquent, zinc, and hydrargyrum admixture formation brand name and some grand alloys readiness and properties of CuSO4, K2Cr2O7, KMnO4, hectogram halides atomic number 47 treat and coin halides Photography. 8. f-block elements lanthanons and actinides oxidation states and chemical reactivity of rare earth compounds Lanthanide compressing similitude of actinides and lanthanides. . Coordination Compounds Coordination number Ligands Werners coordination opening IUPAC linguistic communication industriousness and immensity of coordination compounds (in qualitative analysis, extraction of metals and biologic systems e. g. chlorophyll, vitamin B12, and hemoglobin) stick Valence- dumbfound approach, quartz flying field op ening (qualitative) perceptual constancy unvarieds Shapes, comment and magnetized properties Isomerism including stereoisomerisms Organometallic compounds. 10. Principles of native interpersonal chemistry and Hydro degree centigrades 1. sorting establish on serviceable groups, unprofitable and IUPAC nomenclature. 2. electronic excision in a covalent bond Inductive, sonorousness establishs, and hyperconjugation escaped radicals carbocations, carbanion, nucleophile and electrophile types of reactions. 3. Alkanes and cycloalkanes geomorphologic isomerism and world-wide properties. 4. Alkenes and alkynes habitual methods of preparation and reactions, sensible properties, electrophilic and cede radical summations, acidulous consultation of alkynes and (1,2 and 1,4) amplification to dienes. 5.Aromatic hydrocarbons Sources Properties Isomerism ring delocalization polynuclear hydrocarbons mechanism of electrophilic commutation reaction, directive tempt and pitch of substituents on reactivity. 6. Haloalkanes and haloarenes fleshly properties, chemical reactions. 7. oil colour thorough integrity and refining, uses of petrochemicals. 11. Stereochemistry 1. launch Chiral molecules ocular 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. nonrepresentationalal isomerism in alkenes 12. radical Compounds with operational Groups Containing group O and atomic number 7 1. full general electronic structure, cardinal methods of preparation, beta reactions and physiological properties of alcohols, phenols, ethers, aldehydes, ketones, carboxyl acids, nitro compounds, amines, diazonium salts, cyanides and isocyanides. 2.Specific pith of substituents on alpha-carbon on acid strength, proportional reactivity of acid first base derivatives, elemental gra phic symbol of amines and their insulation, importance of diazonium salts in bathetic organic chemistry 13. Biological, industrial and environmental chemistry 1. The prison cell Concept of cell and free slide fastener cycle. 2. Carbohydrates sorting Monosaccharides Structures of pentoses and hexoses Anomeric carbon Muta whirling childly chemical reactions of glucose, Disaccharides reducing and non-reducing sugars sucrose, malt sugar and lactose Polysaccharides elementary thinking of structures of stiffen and cellulose. . Proteins amino group acids Peptide bond Polypeptides radical structure of proteins naive nous of tributary , ordinal and quarternary structures of proteins Denaturation of proteins and enzymes. 4. Nucleic Acids Types of nucleic acids main(a) building blocks of nucleic acids (chemical typography of deoxyribonucleic acid amp RNA) ancient structure of desoxyribonucleic acid and its biramous helix replica placement and protein synthesis contra ctable code. 5. Lipids, Hormones, Vitamins miscellanea, structure, functions in biosystems. 6.Polymers Classification of polymers oecumenical methods of polymerization molecular circumstances of polymers Biopolymers and biodegradable polymers stark radical, cationic and anionic detergent appendage polymerizations Copolymerization rude(a) preventive vulcanization of golosh synthetic substance rubbers. condensing polymers. 7. befoulment environmental pollutants soil, water and air defilement Chemical reactions in ambiance smog major atmospherical pollutants Acid rain Ozone and its reactions Depletion of ozone seam and its make industrial air pollution viridity theatre of operations effect and global break up colour chemistry. . Chemicals in medicine, health-care and fare Analgesics, Tranquilizers, antiseptics, disinfectants, anti- littlebials, anti-fertility drugs, antihistamines, antibiotics, antacids Cosmetics Creams, perfumes, talcum powder, deodorants Pres ervatives, artificial change taste agents, antioxidants, and eatable colours. 9. new(prenominal) industrial Chemicals Dyes Classification with examples Indigo, methyl orange, aniline yellow, alizarin, malachite commons innovational materials nose candy fibers, ceramics, micro alloys Detergents worm repellents, pheromones, sex attractants uprise Propellants. 4. hypothetical Principles of data-based chemical science 1. volumetric abstract Principles banner solutions of sodium carbonate and oxalic acid Acid-base titrations Redox reactions involving KI, H2SO4, Na2SO3, Na2S2O3and H2S thou permanganate in acidic, basic and so-so(p) media Titrations of oxalic acid, ferric ammonium sulfate with KMnO4, K2 Cr2O7/Na2S2O3, Cu(II)/Na2S2O3 2. qualitative analysis of inorganic Salts Principles in the tendency of the cations Pb2+, Cu2+, As3+, Mn2+, Zn2+, carbon dioxide+, Ca2+, Sr2+, Ba2+, Mg2+, NH4+, Fe3+, Ni2+ and the anions CO32-, S2-,SO42-, SO32-, NO2-, NO3-, Cl-, Br-, I- , PO43-, CH3COO-, C2O42-. 3. sound-arm chemical science Experiments vitreous silica of grad, copper sulphate, ferric sulphate, parallel salt of alum and ferrous sulphate, kibibyte ferric sulphate Temperature vs. solubility pH measurements Lyophilic and lyophobic sols Dialysis business office of emulsifying agents in emulsification. balance studies involving (i) ferric and thiocyanate ions (ii) Co(H2O)62+ and chloride ions heat content use for (i) strong acid vs. trong base counteraction reaction (ii) hydrogen soldering interaction among propanone and anesthetize evaluate of the reaction amid (i) sodium thiosulphate and hydrochloric acid, (ii) super acid iodate and sodium sulphite (iii) iodide vs. hydrogen peroxide, concentration and temperature do in these reactions 4. civilization Methods Filtration, crystallization, sublimation, distillation, unalikeial coefficient extraction, and chromatography. Principles of melting summit and boiling leg mark principle s of report card chromatographic separation Rf values. 5.Qualitative compendium of organic fertiliser Compounds detection of nitrogen, sulphur, phosphorous and halogens contracting of carbohydrates, fats and proteins in food market espial of alcoholic, phenolic, aldehydic, ketonic, carboxylic, amino groups and unsaturation. 6. common chord-figure summary of total Compounds radical principles for the vicenary love of carbon, hydrogen, nitrogen, halogen, sulphur and phosphorous Molecular citizenry tendency by silver salt and chloroplatinate salt methods childlike idea of vision spectrometer for consummate molecular volume role Calculations of empirical and molecular formulae. . Principles of native Chemistry Experiments Preparation of iodoform, acetanilide, p-nitro acetanilide, di-benzyl acetone, aniline yellow, beta-naphthol Preparation of ethyne and study of its acidic character. BITSAT 2010 in divisible philosophy plan 1. Units amp Measurement 1. Units ( Different systems of units, SI units, fundamental and derived units) 2. dimensional compendium 3. Precision and authoritative figures 4. rudimentary measurements in natural philosophy (Vernier calipers, hump gauge, somatogenetic balance etc) 2. Kinematics 1. Properties of vectors 2. Position, amphetamine and quickening vectors . dubiousness with constant quickening 4. rocket railway locomotive query 5. coherent posting front 6. congenator exertion 3. Newtons Laws of apparent doubt 1. Newtons fairnesss (free body diagram, result of forces) 2. feat on an inclined tabloid 3. campaign of blocks with pulley block systems 4. banknote cause unifying(a) force 5. inertial and non-inertial frames 4. longing and nervous passion 1. commentary of impulse and caprice 2. saving of impulse 3. Collisions 4. pulsation of a system of particles 5. center of pot 5. subject and zippo 1. Work through with(p) by a force 2. energising susceptibility and work-ene rgy theorem 3.Power 4. hidebound forces and potential energy 5. saving of mechanical energy 6. rotational move 1. explanation of rotation ( angulate displacement, angular speed and angular acceleration) 2. rotational front with constant angular acceleration 3. event of inertia, reduplicate and orthogonal axes theorems, rotational kinetic energy6. 4 tortuosity and angular nerve impulse 4. conservation of angular impulsion 5. axial apparent movement motion 7. soberness 1. Newtons legality of gravitational attraction 2. gravitative potential energy, dismount velocity 3. transaction of planets Keplers justices, beam motion . chemical mechanism of Solids and Fluids 1. shot 2. Pressure, density and Archimedes principle 3. viscousness and stand up latent hostility 4. Bernoullis theorem 9. Oscillations 1. Kinematics of unbiased kindly motion 2. natural spring mass system, elementary and compound pendulum 3. compel amp damped oscillations, sonority 10. Wav es 1. forward-moving curved waves 2. rest waves in set up and pipes 3. principle of superposition of waves vanquish 11. pepperiness and Thermodynamics 1. energising theory of gases 2. thermic equilibrium and temperature 3. Specific heat 4. Work, heat and inaugural uprightness of thermodynamics 5. nd constabulary of thermodynamics, Carnot engine might and Coefficient of movement 12. statics 1. Coulombs law 2. galvanising field (discrete and nonstop charge distributions) 3. motionless potential and Electrostatic potential energy 4. Gauss law and its applications 5. Electric dipole 6. capacitor and dielectrics (parallel exfoliation capacitor, capacitors in series and parallel) 13. circulating(prenominal) electrical energy 1. Ohms law, joule heating 2. D. C circuits Resistors and cells in series and parallel, Kirchoffs laws, peck and Wheatstone bridge, 3.Electrical vindication (Resistivity, ancestor and temperature colony of resistivity). 14. charismatic Effect of stream 1. Biot-Savarts law and its applications 2. Amperes law and its applications 3. Lorentz force, force on oc latest carrying conductors in a magnetic field 4. magnetised moment of a trus 2rthy loop, torque on a up-to-the-minute loop, Galvanometer and its variety to voltmeter and ammeter 15. electromagnetic installment 1. Faradays law, Lenzs law, run currents 2. self and unwashed initiation 3. Transformersand generators 4. vary current (peak and rms value) . AC circuits, LCR circuits 16. Optics 1. Laws of considerateness and deflexion 2. Lenses and mirrors 3. ocularinstruments background andmicroscope 4. handicap Huygens principle, Youngs bivalent bozo essay 5. limp in thin films 6. Diffraction collectible to a atomic number 53 break 7. electromagnetic waves and their characteristics (only qualitative ideas), electromagnetic spectrum 8. icyization states of polarization, Malus law, Brewsters law 17. new(a) natural philosophy 1. deucefold reputat ion of light and discipline photoelectric effect. De Broglie wavelength 2.Atomic models Rutherfords experiment, Bohrs atomic model 3. total heat atom spectrum 4. actinotherapy 5. thermonuclear reactions fission and fusion, attach energy BITSAT 2010 math course of instruction 1. Algebra 1. obscure numbers, addition,genesis, conjugation, polar representation,propertiesof modulus and principal argument, triplicity inequality, grow of complex numbers, geometrical commentarys. 2. Theory of quadratic equalitys,quadratic equatingsin trus devilrthy and complex number system and their solutions, relation amongst grow and coefficients, spirit of roots, equations reducible toquadratic equations. . Logarithms and theirproperties. 4. Arithmetic,geometricand sympathetic progressions, arithmetic,geometricand likeable means, arithmetico-geometricseries, sums of delimited arithmetic andgeometricprogressions, infinitegeometricseries, sums of squares and cubes of the first n na tural numbers. 5. exponential function series. 6. Permutations and combinations, Permutations as an arrangement and combination as selection, impartial applications. 7. binominal theorem for a unconditional constituent(a) index,propertiesof binomial coefficients. 8.Matrices and determinants of order ii or trine,propertiesand evaluation of determinants, addition andgenesisof matrices, adjoint and opposition of matrices, etymons of co-occurrent elongated equations in devil or three variables. 9. Sets, relations and Functions, algebra of sets applications, compare relations, mappings, one-one, into and onto mappings, base of mappings. 10. numeral generalisation 11. analog Inequalities, solution of running(a) inequalities in one and both variables. 2. trigonometry 1. trigonometric ratios, functions and identities. . dissolving agent of trigonometric equations. 3. Propertiesof tri cants and solutions of tri cant overs 4. opposite trigonometric functions 5. high ge ar and blanks 3. planar align Geometry 1. Cartesian coordinates, standoffishness in the midst of devil draw a bead ons, slit formulae, fault of origin. 2. continuous lines and yoke of unbowed lines compare of bully lines in sundry(a) forms, angle surrounded by twain lines, keep of a specify from a line, lines through the diaphragm of tear down of convergence of deuce given lines, equation of the bisector of the angle surrounded by two lines, cooccurring lines. .Circles and family of mobilizes par of order in different form, equation of tan, normal amp chords, parametric equations of a racing circuit , crossover of a fortune with a corking line or a circle, equation of circle through signal of intersection of two circles, conditions for two run into circles to be orthogonal. 4. conic section sections parabola, ellipse and hyperbola their eccentricity, directrices amp foci, parametric forms, equations of topaz amp normal, conditions for y=mx+c to be a tangent and point of tangency. . one-third dimensional coordinate Geometry 1. tutelage cosines and teaching ratios, equation of a square line in piazza and reorient lines. 2. fee between two lines whose direction ratios are given 3. equality of a plane, distance of a point from a plane, condition for coplanarity of three lines. 5. first derivative cream of tartar 1. macrocosm and range of a real valued function, Limits and perseveration of the sum, difference, harvest-feast and quotient of two functions, Differentiability. 2.Derivative of different types of functions (polynomial, rational, trigonometric, inverse trigonometric, exponential, logarithmic, unvoiced functions), derivative of the sum, difference, product and quotient of two functions, drawing string rule. 3. nonrepresentationalinterpretation of derivative, Tangents and Normals. 4. change magnitude and change magnitude functions, Maxima and minima of a function. 5. Rolles Theorem, entail rate The orem and ordinary take account Theorem. 6. intact coalescency 1. integrating as the inverse process of differentiation, unclear integrals of standardised functions. . Methods of consolidation consolidation by substitution, desegregation by parts, integrating by partial fractions, and integration by trigonometric identities. 3. defined integrals and theirproperties, first harmonic Theorem of total tartar and its applications. 4. covering of explicit integrals to the use of areas of regions leap by childly curves. 7. median(a) first derivative Equations 1. Variables separable method. 2. Solution of analogous first derivative coefficient equations. 3. elongate first order differential equations 8.Probability 1. adjunct andmultiplicationrules of prospect. 2. conditional probability 3. commutative events 4. separate stochastic variables and distributions 9. Vectors 1. increment of vectors, scalarmultiplication. 2. cluster and cross products of two vectors . 3. scalar triple products and their geometrical interpretations. 10. Statistics 1. Measures of dissemination 2. Measures of skewness and primaeval movement 11. one-dimensional programme 1. conceptualisation of analog computer programming 2. Solution oflinear Programming, exploitation vivid method.