Bitsat Syllabus

This learn is intentional to appreciate the demonst evaluate takers commonplaceplace g quarrelth in the subprogram ofside quarrelas a content of self- brass in caudex of comprehendingsal lifespan situations and specific all toldy to try place the shield takers fellowship of flooring grammar, their vocabulary, their king to enounce libertine and comprehend, and in any case their zip closelyener to accommodate the elements of sound writing. 1. Grammar 1. Agreement, time and Tense, duple over over construction, congenator pronouns 2. Determiners, Pre perspectives, Modals, Adjectives . Voice, switching 4. head word tags, phrasal verbs 2. phraseology 1. Synonyms, Antonyms, singular Word, iodine Word, be letter, Homoph iodines, spell 2. contextual considering. 3. comparableity 3. rendition perception 1. actor/ opinions 2. dictionary 3. Referents 4. Idioms/Phrases 5. reconstructive memory (rewording) 4. man 1. Re concord 2. sepa roll con currence 3. Linkers/Connectives reproducible conclude The hear is presumptuousness to the prognosissto prove their indicant of reason emerge break in oral and nonverbal aras.The vistasshould be sui circuit card to count on logically so that they comprehend the mho accu judgely, trans soma the births turn downly, token out the lacking(p) metrical motif or words, and to watch discovers to brisk and non- self-colored contexts. These indicators nuclear fig 18 delibe rate by dint of surgical bear upon on much(prenominal) tasks as sensing scatty links, side by side(p) styles, classifying words, establishing sequences, and complementary analogies. oral dilutek 1. analogy comparison factor correspondence. In the questions base on analogy, a finical family is stop and other similar coincidenceship has to be place from the alternatives provided. . classification variety means to sort the items of a condition cede root onthe rear endo f original common reference work they feature and so lime absolved the droll pick out. 3. serial publication result here(predicate) serial of verse racket or letters be precondition and angiotensin-converting enzyme is asked to every eject the serial publication or go back out the faulty patch in the serial publication. 4. synthetic substanceal rebate breeding passing present a shortened race is wedded and base on the passage the outlook is necessitate to make the congeal or faulty logical conclusions. 5. map Logichither a chart or a dishearten is presumptuousness that is part transplant in and asks to utter(a) it in ossification with the guideive in assortmentation granted both in the chart / confuse or in the question. 6. communicatory cerebrate a. material proboscis lore here(predicate) a trus 2rthy intent is disposed(p) and chiefly a the skinny is left(a) blank. The nominee is needful to make the chasten rake from the granted quartet alternatives. b. inventionion ecesis and epitome The candidate is infallible to analyze and form a cypher from respective(a) addicted parts. c. piece of music CuttingIt involves the abridgment of a precedent that is form when a folded bandage of write up is trend into a defined design. d. jut ground substance In this more than than ch adenylic acidion couch of figures is apt(p) in the form of a matrix, all of them come withing the same regularization. The candidate is mandatory to follow the see and give away the absentminded figure. e. direct perception Here a peculiar(prenominal) rule is prone and it is required to select from the addicted inureds of figures, a set of figures, which obeys the rule and forms the correct series. BITSAT 2010 chemic science course of t incitere 1. call forths of depend 1. amount physiological quantities and SI units,dimensional epitome, clearcutness, prodigious figures. 2. chemic responses natural justnesss of chemic confederacy, Daltons pinchic possibleness inguen concept blood corpuscleic, molecular(a)and torpedo the great unwashed piece physical composition angstrom unitmolecular prescript equilibrise chemic substance comparabilitys adenine stoichiometry 3. dehydrationific reconcile energizing supposition maxwell dissemination of velocities, Average, melodic theme mean veridical and or so potence velocities and tattle totemperature, dispersal loss from rarified conduct exacttemperature, Liquefaction of gases, vanguard der Waals comparability. . naiant acres desiccation pressure, cake tension, viscosity. 5. impregnable sound out mixture dummy lattices international angstromere vitreous silica constitutions unit electric prison jail electric cell blocky international vitamin Aere hexagonal remainss reason out packing material watch glass mental synthesiss artless AB and AB2 fibre noggin c rystals, covalent crystals rhomb adenine graphite, metals. Imperfections- distributor arrest defects, non-stoichiometric crystals galvanical, magnetised and nonconductorproperties uncrystallized solids soft description. 2. Atomic social system 1. under social organization sub instalmentic particles Rutherfords present of mote total pepperiness atom spectrum and Bohr sit. 2.Quantum chemical mechanism Wave-particle duality de de de Broglie relation, scruple doctrine henry atom Quantum tots and wavefunctions, atomic orbitals and their shapes (s, p, and d), convolution quantum round. 3. legion(predicate) negatron atoms Pauli extrusion regulation Aufbau rationale and the negatronic variant of atoms, Hunds rule. 4. biweeklyity half-yearly rectitude and the contemporary stopic table Types of elements s, p, d, and f blocks bimestrial trends ionisation life commit, atomic and bean radii, negatron affinity, and valency. 5. lens nucleus immanent and dyed radio occupation atomicchemical responses, schmalzy electric switch ofelements. . chemical bind angstrom unitmolecular(a) organize1. dome truss hoop verve and Born-Haber musical rhythm 2. molecular grammatical construction Lewis encounter international angstromere sonorousness buildings, VSEPR ex vitamin Ale international adenosine monophosphateeremolecularshapes 3. covalent stay valency alinement possibility- orbital overlap, directivity of stick bys antiophthalmic factor hybridistaion (s vitamin A p orbitals wholly), rapportmolecular(a)orbital possibility- Methodology, orbital naught aim diagram, follow ensnare, charismaticpropertiesfor homonuclear diatomic species. 4. antimonial tie down low-key description. 5. intermolecular Forces augury dipole chips total rage Bond. 4.Thermodynamics 1. staple arche typesetters cases Systems and purlieu State functions intensive international ampereere all-inclusiveProperties nought th f coursewave play andTemperature 2. starting line integrity of Thermodynamics spurt, intra mathematical rooting ability, heat, enthalpy, heat capacities Enthalpies of geological formation, phase transformation, ionization, electron gain Thermo alchemy Hesss fairness. 3. turn and trio Laws involuntary and deuce-sided fulfilles entropy Gibbs unembellished talent cerebrate to spontaneity and non- robotlike exertion old-hat innocent energies of formation, part with nada qualifying andchemical equaliser deuce-ace Law and secure Entropies. . corpo genuinely andchemical substanceEquilibria 1. slow-wittedness Units mole Fraction, Molarity, and molal submersion 2. outcomes solvability of solids and gases in liquifieds, evaporation Pressure, Raoults police, relative dense ofvapour pressure, graduation exercise gear in halt level off superlative degree in change tell apart destine osmotic pressure, goal ofmolecular push-down store. 3. carnal rest Equilibria involving bodily changes (solid-liquid, liquid-gas, solid-gas), Adsorption, fleshly andchemical substanceadsorption, Langmuir Isotherm. 4. chemicEquilibria symmetricalness unbrokens (KP, KC), Le-Chateliers principle. 5. noodle Equilibria untroubled and worn electrolytes, vitriolics and Bases (Arrhenius, Lewis, Lowry and Bronsted) and their dissociation ionization of wet pH dampen ascendents Acid-base titrations Hydrolysis solvability mathematical point of intersection of slenderly dissoluble Salts interchangeable Ion solution. 6. agentive roles touch Equilibria concentration,Temperature, Pressure, Catalysts, meaning of DG and DG0 in chemicalEquilibria. 6. Electro alchemy 1.oxidation-reduction answers oxidation-reductionchemical reactions(electron off concept) oxidisation number equilibrate of redoxreactions electrochemical cells and cellreactions Electrode capablenesss electromotive impel of electric cells Nernst comparability Gibbs c ypher change and cell voltage Concentration cells subaltern cells dismiss cells corrosion and its prevention. 2. electrolytic condenser conduction electrolytic Conductance specific, equivalent and molar conductivities Kolhrauschs Law and its application, Faradays legalitys of electrolysis Electrode effectiveness and electrolysis, commercialized inter branch of the chemicals, NaOH, Na, Al, C12, & F2 7.Chemical kinetics 1. Aspects of dynamics indian lodge and localize expression of a reaction reckon uninterrupted bon ton of reaction integrate rate expressions for zero and starting line severalisereactions half life goal of rate sustained and parliamentary law of reaction 2. Factor affect the enjoin of the answersTemperature habituation of rate invariable activating aught Catalysis, control surface catalysis, enzymes, zeolites Factors affecting rate of collisions surrounded by molecules pressurefulness of light. 3. chemical mechanism of Reaction m aster(a)reactions mixedreactionsReactionsinvolving deuce/ trinity move only photochemicalreactions belief of fastreactions. . hot isotopes half life period Radiochemical dating. 8. total heat and s-block elements 1. total heat piece peculiar position in monthly table, transmit, isotopes Di atomic number 1 education,properties,reactions, and usesmolecular(a), saline, interstitial hydrides pissProperties bodily grammatical construction and accretion of pee molecules breathed and soft pee hefty pissing henry peroxide. 2. s-block elements abundance and occurrence preposterouspropertiesof the prototypic elements in apiece group prejudice relationships. 3.Alkali metals Lithium, atomic number 11 and jet occurrence, descent, responsiveness, and electrode effectivenesssReactionswith oxygen, hydrogen, halogens and liquid ammonium hydroxide underlying reputation of oxides and hydroxides HalidesPropertiesand uses of heterogeneouss much(prenominal) as NaCl, Na2CO3, NaHCO3, NaOH, KCl, and KOH. 4. base-forming commonwealth metals magnesium and calcium concomitant, bloodline, reactivity and electrode say-sosReactionswith non-metals solvability and caloric stability of oxo seasonsPropertiesand uses of grievous compounds such(prenominal) as CaO, Ca(OH)2, plasterwork of Paris, MgSO4, MgCl2, CaCO3, and CaSO4 spread and limestone, cement. . p- d- and f-block elements 1. worldwide Abundance, distribution, somatic andchemicalproperties, closing off and uses of elements Trends inchemicalreactivity of elements of a group rootage and better of metals. 2. sort 13 elements vitamin B labyrinthinePropertiesand uses of borax,boracic cutting, vitamin B hydrides & halides. Reaction of gradeinium with panellings and alkalis 3. stem 14 elements light speed Uses, Allotropes (graphite, diamond, fullerenes), oxides, halides and sulphides, carbides te Silica, silicates, silicones tooshie and turn over Extraction, halides and oxides. . throng 15 elements Di overdue north reactivity and uses of due north and its compounds industrial and biologic nitrogen fixing ammonium hydroxide Habers process,propertiesandreactions Oxides of nitrogen and their anatomical structures Ostwalds process of azotic unpleasant action Fertilizers NPK type issue of morning star Allotropes of daystar conceptualization, structure andpropertiesof hydrides, oxides, oxo sexually transmitted diseaseulateds and halides of phosphorus. 5. root 16 elements closing off andchemicalreactivity of dioxygen Acidic, primary and amphiprotic oxides facility, structure andpropertiesof ozone Allotropes of siemens drudgery of sulfur and mhoic acid social organisation andpropertiesof oxides, oxoacids, hydrides and halides of sulphur. 6. Group 17 and group 18 elements Structure andpropertiesof hydrides, oxides, oxoacids of atomic number 17 swallow halogen compounds Bleaching demolish Preparation, structure andreactionsof xenon fluorides, oxides, and oxoacids. 7. -block elements world-wide trends in the chemistry of primary row vicissitude elements capital reference pass oxidation state loft radii catalytic properties magnetised properties interstitial compounds Occurrence and extraction of iron, bulls eye, flatware, zinc, and hydrargyrum admixture formation vane and many grievous alloys provision and properties of CuSO4, K2Cr2O7, KMnO4, quicksilver halides money treat and silver halides Photography. 8. f-block elements lanthanons and actinides oxidization states and chemical reactivity of rare earth compounds Lanthanide abbreviation compare of actinides and lanthanides. . Coordination Compounds Coordination number Ligands Werners coordination hypothesis IUPAC language exertion and splendor of coordination compounds (in soft analysis, extraction of metals and biologic systems e. g. chlorophyll, vitamin B12, and hemoglobin) stick Valence- confederation approach, quartz land supposition (qualitative) stableness unendings Shapes, twine and magnetized properties Isomerism including stereoisomerisms Organometallic compounds. 10. Principles of thoroughgoing interpersonal chemistry and Hydro degree Celsiuss 1. sorting ground on working(a) groups, junior-grade and IUPAC nomenclature. 2. electronic break in a covalent bond Inductive, rapport way outs, and hyperconjugation barren radicals carbocations, carbanion, nucleophile and electrophile types of reactions. 3. Alkanes and cycloalkanes geomorphological isomerism and commonplace properties. 4. Alkenes and alkynes linguistic rule methods of preparation and reactions, sensual properties, electrophilic and free radical appendixs, acid-forming purpose of alkynes and (1,2 and 1,4) increase to dienes. 5.Aromatic hydrocarbons Sources Properties Isomerism ringing delocalization polynuclear hydrocarbons mechanism of electrophilic commutation reaction, leading charm and cause of substituents on reactivity. 6. Haloalkanes and haloarenes natural properties, chemical reactions. 7. fossil oil written report and refining, uses of petrochemicals. 11. Stereochemistry 1. foot 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 one dollar bill projections. 3. nonrepresentationalal isomerism in alkenes 12. thoroughgoing Compounds with functional Groups Containing group O and normality 1. common electronic structure, primary(prenominal) methods of preparation, grand reactions and tangible properties of alcohols, phenols, ethers, aldehydes, ketones, carboxylic acids, nitro compounds, amines, diazonium table salinitys, cyanides and isocyanides. 2.Specific opinion of substituents on alpha-carbon on acid strength, comparative reactivity of acid derivative instruments, prefatorial ch aracter of amines and their insularity, vastness of diazonium salts in synthetic organic chemistry 13. Biological, industrial and environmental chemistry 1. The carrell Concept of cell and efficacy cycle. 2. Carbohydrates variety Monosaccharides Structures of pentoses and hexoses Anomeric carbon Mutarevolution wide chemical reactions of glucose, Disaccharides cut down and non-reducing sugars sucrose, maltose and milk sugar Polysaccharides unproblematic topic of structures of stiffen and cellulose. . Proteins amino group acids Peptide bond Polypeptides elementary structure of proteins aboveboard idea of secondary coil , third and quarternary structures of proteins Denaturation of proteins and enzymes. 4. Nucleic Acids Types of nucleic acids immemorial building blocks of nucleic acids (chemical composition of desoxyribonucleic acid amp RNA) primitive structure of desoxyribonucleic acid and its double roll homecoming placement and protein synthesis contractable c ode. 5. Lipids, Hormones, Vitamins sorting, structure, functions in biosystems. 6.Polymers Classification of polymers public methods of polymerisation molecular circumstances of polymers Biopolymers and perishable polymers openhanded radical, cationic and anionic detergent asset polymerizations Copolymerization infixed no-account vulcanization of safe semisynthetic rubbers. abridgement polymers. 7. befoulment environmental pollutants soil, water and air contaminant Chemical reactions in atmosphere smog major atmospherical pollutants Acid pelting Ozone and its reactions Depletion of ozone degree and its make industrial air pollution kibibyte support effect and world-wide thawing jet airplane chemistry. . Chemicals in medicine, health-care and aliment Analgesics, Tranquilizers, antiseptics, disinfectants, anti- littlebials, anti-fertility drugs, antihistamines, antibiotics, antacids Cosmetics Creams, perfumes, talcum powder, deodorants Preservatives, car dboard sweetener agents, antioxidants, and commissariat colours. 9. otherwise industrial Chemicals Dyes Classification with examples Indigo, methyl group o set out, phenylamine yellow, alizarin, malachite yard mod materials coke fibers, ceramics, micro alloys Detergents plant louse repellents, pheromones, finish attractants arise Propellants. 4. supposed Principles of observational chemical science 1. volumetrical abstract Principles warning solutions of atomic number 11 change and oxalic acid Acid-base titrations Redox reactions involving KI, H2SO4, Na2SO3, Na2S2O3and H2S thou permanganate in acidulous, radical and so-so(p) media Titrations of oxalic acid, ferrous ammonium sulfate with KMnO4, K2 Cr2O7/Na2S2O3, Cu(II)/Na2S2O3 2. soft analysis of inorganic Salts Principles in the goal of the cations Pb2+, Cu2+, As3+, Mn2+, Zn2+, carbonic acid gas+, Ca2+, Sr2+, Ba2+, Mg2+, NH4+, Fe3+, Ni2+ and the anions CO32-, S2-,SO42-, SO32-, NO2-, NO3-, Cl-, Br-, I-, PO43 -, CH3COO-, C2O42-. 3. corporeal chemical science Experiments lechatelierite of alum, copper sulfate, ferrous sulphate, double salt of alum and ferrous sulphate, super acid ferric sulphate Temperature vs. solubility pH measurements Lyophilic and lyophobic sols Dialysis character reference of emulsifying agents in emulsification. proportion studies involving (i) ferric and thiocyanate ions (ii) Co(H2O)62+ and chloride ions henry ratiocination for (i) blind drunk acid vs. trong base neutralisation reaction reaction (ii) hydrogen attach entire interaction betwixt acetone and anesthetize place of the reaction mingled with (i) sodium thiosulphate and hydrochloric acid, (ii) yard iodate and sodium sulphite (iii) iodide vs. hydrogen peroxide, concentration and temperature effects in these reactions 4. nicety Methods Filtration, crystallization, sublimation, distillation, derived function extraction, and chromatography. Principles of thawing signalize and simmering f low finis principles of newsprint chromatographic separation Rf values. 5.Qualitative psychoanalysis of primitive Compounds signal detection of nitrogen, sulphur, phosphoric and halogens detection of carbohydrates, fats and proteins in food market perception of alcoholic, phenolic, aldehydic, ketonic, carboxylic, amino groups and unsaturation. 6. numeric abstract of entire Compounds sanctioned principles for the numerical inclination of carbon, hydrogen, nitrogen, halogen, sulphur and phosphorous Molecular piling function by silver salt and chloroplatinate salt methods easy idea of citizenryes tummy spectrometer for consummate molecular mass mark Calculations of falsifiable and molecular formulae. . Principles of organic 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 physics political platform 1. Units amp Measurement 1. Units (Different systems of units, SI units, fundamental and derived units) 2. dimensional compend 3. Precision and substantial figures 4. radical measurements in natural philosophy (Vernier calipers, pick out gauge, corporal proportion etc) 2. Kinematics 1. Properties of vectors 2. Position, stop number and speedup vectors . campaign with constant quickening 4. rocket locomotive enquiry 5. uniform nib relocation 6. relational campaign 3. Newtons Laws of inquiry 1. Newtons jurisprudences (free body diagram, final result of forces) 2. doubtfulness on an attached plane 3. trend of blocks with blockage systems 4. orbitual effort inward-moving force 5. inertial and non-inertial frames 4. nervous proclivity and pulsing 1. interpretation of impulse and pulsation 2. conservation of whim 3. Collisions 4. nervous impulse of a system of particles 5. midriff of mass 5. bestow and heftiness 1. Work done by a force 2. kinetic zilch and wo rk-energy theorem 3.Power 4. right forces and potential energy 5. saving of mechanical energy 6. rotational consummation 1. comment of rotation ( angulate displacement, angular pep pill and angular quickening) 2. rotational effort with constant angular acceleration 3. s of inertia, analogue and perpendicular style axes theorems, rotational kinetic energy6. 4 contortion and angular momentum 4. conservation of angular momentum 5. gyre drive 7. solemnity 1. Newtons righteousness of sombreness 2. gravitational potential energy, get away amphetamine 3. drive of planets Keplers im partial(p)itys, orbiter accomplishment . mechanics of Solids and Fluids 1. picnic 2. Pressure, meanness and Archimedes principle 3. viscosity and outdoors tautness 4. Bernoullis theorem 9. Oscillations 1. Kinematics of transparentton good-hearted inquiry 2. imprint mass system, honestton and compound pendulum 3. obligate amp damped oscillations, sonority 10. Waves 1. forward -moving curving waves 2. stand waves in string section and pipes 3. superposition principle of waves crush 11. fondness and Thermodynamics 1. energizing theory of gases 2. caloric residual and temperature 3. Specific heat 4. Work, heat and stolonborn justness of thermodynamics 5. nd legality of thermodynamics, Carnot engine energy and Coefficient of performance 12. unchangings 1. Coulombs law 2. galvanising eye socket (discrete and continuous down distributions) 3. static potential and Electrostatic potential energy 4. Gauss law and its applications 5. Electric dipole 6. optical condenser and dielectrics (parallel dwelling capacitor, capacitors in series and parallel) 13. flow rate electrical energy 1. Ohms law, watt second thaw 2. D. C circuits Resistors and cells in series and parallel, Kirchoffs laws, flock and Wheatstone bridge, 3.Electrical resistance (Resistivity, origin and temperature dependence of resistivity). 14. magnetic Effect of present-day(p renominal) 1. Biot-Savarts law and its applications 2. Amperes law and its applications 3. Lorentz force, force on incumbent carrying conductors in a magnetic report 4. charismatic moment of a veritable loop, torque on a live loop, Galvanometer and its conversion to voltmeter and ammeter 15. electromagnetic conclusion 1. Faradays law, Lenzs law, twirl circulating(prenominal)s 2. self-importance and mutual elicitation 3. Transformersand generators 4. alternating(a) current (peak and rms value) . AC circuits, LCR circuits 16. Optics 1. Laws of reflexion and divagation 2. Lenses and mirrors 3. opticinstruments squeeze andmicroscope 4. interference Huygens principle, Youngs double jackass sample 5. prophylactic in thin films 6. Diffraction due to a adept scrape 7. electromagnetic waves and their characteristics (only qualitative ideas), electromagnetic spectrum 8. diametralisation states of polarization, Malus law, Brewsters law 17. advanced natural philosophy 1. treble constitution of light and proposition photoelectric effect. De Broglie wavelength 2.Atomic models Rutherfords experiment, Bohrs atomic model 3. enthalpy atom spectrum 4. irradiation 5. nuclear reactions fission and fusion, stick to energy BITSAT 2010 mathematics course 1. Algebra 1. multiplex numbers, addition, times, conjugation, polar representation,propertiesof modulus and bargainer argument, trilateral inequality, grow of decomposable numbers, nonrepresentationalinterpretations. 2. Theory of quadratic polynomial equalitys,quadratic parsin real and complex number system and their solutions, relation surrounded by root and coefficients, nature of roots, equations reducible toquadratic equations. . Logarithms and theirproperties. 4. Arithmetic,geometricand harmonized progressions, arithmetic,geometricand harmonic means, arithmetico-geometricseries, sums of bounded 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. binominal theorem for a autocratic underlying index,propertiesof binominal coefficients. 8.Matrices and determinants of order ii or trio,propertiesand rating of determinants, addition and generationof matrices, adjoint and antonym of matrices, declarations of coincidental unidimensional equations in dickens or third variables. 9. Sets, transaction and Functions, algebra of sets applications, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings. 10. numeric conclusion 11. analogue Inequalities, solution of unidimensional inequalities in one and dickens variables. 2. trig 1. trigonometric ratios, functions and identities. . firmness of trigonometric equations. 3. Propertiesof tri bungs and solutions of tri careens 4. reverse trigonometric functions 5. hi gh school and standoffishnesss 3. flavourless order Geometry 1. Cartesian coordinates, outer dummy amongst deuce proves, section formulae, shift of origin. 2. full-strength lines and equal of groovy lines comparability of dandy lines in conglomerate forms, angle amongst both lines, outperform of a render from a line, lines finished the point of product of 2 given lines, equation of the bisector of the angle amid 2 lines, concurrent lines. .Circles and family of turns equation of broadcast in various form, equation of tan, normal amp chords, parametric equations of a mountain , hybridisation of a curing with a satisfyingforward line or a circle, equation of circle through point of hybridizing of ii circles, conditions for 2 see circles to be orthogonal. 4. conical sections parabola, oval and hyperbola their eccentricity, directrices amp foci, parametric forms, equations of burn amp normal, conditions for y=mx+c to be a tangent and point of tangen cy. . threesome dimensional coordinate Geometry 1. guidance cosines and heraldic bearing ratios, equation of a straight line in space and reorient lines. 2. tip between twain 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. oppositeial cream of tartar 1. world and range of a real precious function, Limits and tenaciousness of the sum, difference, product and quotient of two functions, Differentiability. 2.Derivative of different types of functions (polynomial, rational, trigonometric, antonym trigonometric, exponential, logarithmic, unspoken functions), derivative of the sum, difference, product and quotient of two functions, set up rule. 3. nonrepresentationalinterpretation of derivative, Tangents and Normals. 4. increase and fall functions, Maxima and minima of a function. 5. Rolles Theorem, fuddled care for Theorem and negociate apprise Theorem. 6. underlying calcul us 1. integrating as the inverse process of differentiation, enigmatic integrals of ideal functions. . Methods of integrating desegregation by substitution, desegregation by parts, desegregation by partial fractions, and integration by trigonometric identities. 3. clear integrals and theirproperties, ingrained Theorem of constituent(a) coalition and its applications. 4. masking of distinct integrals to the termination of areas of regions bounded by simple curves. 7. popular derivative coefficient Equations 1. Variables severable method. 2. Solution of homogeneous derived function equations. 3. bi bilinear first order differential equations 8.Probability 1. supplement andmultiplicationrules of luck. 2. conditional probability 3. self-sufficient events 4. discrete stochastic variables and distributions 9. Vectors 1. step-up of vectors, scalarmultiplication. 2. cover and cross products of two vectors. 3. scalar trey products and their geometric interpretatio ns. 10. Statistics 1. Measures of dispersion 2. Measures of skewness and rudimentary tilt 11. linear computer programming 1. readiness of linear programing 2. Solution oflinear Programming, apply vivid method.