Subject  PCM  Medium  ENGLISH 

Faculty  NV Sir,VKP Sir,SSI Sir,Renu Mam  Status  AVAILABLE 
Category  COMPLETE COURSE  Lecture  1132 
Target  XI XII XIII  Books  QUESTION BANK ATTACHED 
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Lecture#  Description  Duration 

01  Dalton atomic theory, isotope ,isobar, atomic mass, atomic mass unit amu, molecule, molecular mass  41 Minutes 
02  molar mass. Gram atomic mass, gram molecular mass, avogadro law  48 Minutes 
03  Relative atomic mass, relative density, vapour density, specific gravity, average atomic mass, average molar mass  44 Minutes 
04  Percentage composition, molecular formula, empirical formula, gaylussac law  30 Minutes 
05 
Stoichiometry, molemole analysis, combustion of hydrocarbon 
34 Minutes 
06 
limiting reagent, percentage yield , consecutive reaction 
39 Minutes 
07  Principle of atomic conservation POAC  37 Minutes 
08  Percentage purity of sample, combustion of carbon, analysis of mixture  29 Minutes 
09  Numerical on analysis of mixture, law of mass conservation, law of definite proportions, law of multiple proportions, law of reciprocal proportions  24 Minutes 
10  Solution, solute , solvent, mole fraction, %w/w/,  18 Minutes 
11  %w/v, % v/v, strength of solution, molarity, molality, ppm  35 Minutes 
12  Interconversion of concentration terms  46 Minutes 
13  Molarity of pure water , volume strength of hydrogen peroxide solution, relation between volume strength and molarity  35 Minutes 
14  Silver salt method , Eudiometry  38 Minutes 
15  examples of eudiometry  27 Minutes 
16  Significant figure, rules for counting , rounding off, scientific notation, addition/subtraction, multiplication of significant figure  42 Minutes 
Lecture#  Description  Duration 

01  Oxidation number calculation, average O.N. individual O. N.  44 Minutes 
02  Oxidizing agent, reducing agent, disproportion reactions  58 Minutes 
03  Balancing of redox and disproportion reaction , balancing of molecular reaction  46 Minutes 
04  Equivalent concept. Law of chemical equivalence, relation between mole and equivalent, equivalent mass, valence factor calculation for acid & base  45 Minutes 
05  n factor for salt, n  factor for disproportion reaction  49 Minutes 
06  Titration, acid base titration, permanganate titration, dichromate titration  39 Minutes 
07  Back titration , double titration  34 Minutes 
08  Numerical on double titration, iodometric titration, limitation of equivalent concept  33 Minutes 
09  Bleaching powder and calculation of available chlorine from bleaching powder sample  31 Minutes 
10  Hardne ss of water ( temporary & permanent hardness) strength of oleum  35 Minutes 
11  Volume strength of hydrogen peroxide solution  20 Minutes 
Lecture#  Description  Duration 

01  Reversible & irreversible reactions, physical and chemical eq, homogeneous and heterogeneous eq, properties of eq, Kp, Kc, Kx, relation between Kp & Kc, relation between Kp and Kx, degree of dissociation  1 hr 13 Minutes 
02  Effect of stoichiometry on kp & Kc, examples of homogeneous equilibrium  38 Minutes 
03  Numericals of homogeneous eq.  29 Minutes 
04  Heterogeneous eq., homogeneous liquid eq., significance of value of k, reaction quotient  53 Minutes 
05  Approximation during calculation, relation between vapour density and degree of dissociation  53 Minutes 
06  Thermodynamics for chemical eq, factor affecting composition of eq mixture , lechatelier's principle, effect of concentration , effect of temperature  38 Minutes 
07  Effect of change in pressure and volume , effect of catalyst  36 Minutes 
08  Addition of inert gas at constant volume and constant pressure, lechatelier's principle for physical eq, evaporation of water, boiling of water, melting of ice , melting of metal  1 hr 
09  Solubility of gas in liquid , allotropic change , simultaneous eq.  42 Minutes 
Lecture#  Description  Duration 

01  Strong electrolyte, weak electrolyte, strong acids, weak acids, strong base, weak base , acid base theory, arrhenius concept, bronsted lowry concept , amphiprotic species  31 Minutes 
02  Lewis concept , pH scale, properties of water, ionisation constant of water, ionic product of water  45 Minutes 
03  pH calculation for strong acid, strong base, mixture of strong acid , mixture of strong acid and base , common ion effect  43 Minutes 
04  pH for monobasic weak acid, weak base, ostwald dilution law, pH for very dilute strong acid  41 Minutes 
05  Very dilute weak base , mixture of weak acid and strong acid,polyprotic weak acid  40 Minutes 
06  Numerical on polyprotic weak acid, mixture of two weak acids  33 Minutes 
07  Hydrolysis of salt, salt of strong acid and strong base, salt of weak acid and strong base , salt of weak base and strong acid  52 Minutes 
08  Hydrolysis of salt of weak acid and weak base  39 Minutes 
09  pH for polyvalent anion, ph for amphiprotic anion , introduction of buffer solution  37 Minutes 
10  Acidic buffer and basic buffer  43 Minutes 
11  Buffer capacity, titration ( strong acid v/s strong base, strong acid v/s weak base , weak acid v/s strong base)  53 Minutes 
12  Titration of H3PO4 v/s NaOH  35 Minutes 
13  Indicator, phenolphthalein, methyl orange, pH range for a buffer ,double titration  38 Minutes 
14  Solubility of sparingly soluble salt, Ksp, effect of common ion on solubility, simultaneous solubility  44 Minutes 
15  Ionic product v/s solubility product,selective precipitation,  41 Minutes 
16  solubility of salt in buffer solution, complex formation by salt  37 Minutes 
17  Solubility of amphoteric insoluble hydroxide, solubility of salt if cation is hydrolyzed , solubility of salt if anion is hydrolyzed  43 Minutes 
Lecture#  Description  Duration 

01  System ,surrounding,open system, closed system, isolated system, thermodynamic variable, process, open cycle ,closed cycle,intensive prop. Extensive prop., state function, path function, heat, work, heat capacity, molar heat capacity, specific heat capacity ,IUPAC , types of process, isothermal, isobaric, isochoric, adiabatic process,convention for heat and work  41 Minutes 
02  Reversible and irreversible process, reversible isothermal compression, single step isothermal compression, two stage isothermal compression  56 Minutes 
03  Reversible isothermal expansion, single stage isothermal expansion, two stage isothermal expansion, internal energy, degree of freedom, first law of thermodynamics  50 Minutes 
04  Enthalpy change , phase transformation  46 Minutes 
05  Free expansion, reversible adiabatic process, work calculation for reversible Adiabatic and irreversible Adiabatic processes  43 Minutes 
06  comparison between reversible adiabatic and irreversible adiabatic processes, comparison between reversible adiabatic and reversible isothermal processes  42 Minutes 
07  Spontaneous and nonspontaneous process, entropy, second law of thermodynamics , entropy change for system and surrounding  55 Minutes 
08  Numerical on entropy change , entropy change during free expansion  40 Minutes 
09  Gibbs energy change, heat pump, carnot cycle  56 Minutes 
10  Thermochemistry, enthalpy of formation, enthalpy of combustion  48 Minutes 
11  Enthalpy of fusion, vaporization,sublimation,bomb calorimeter, enthalpy of neutralisation, enthalpy of ionisation  57 Minutes 
12  Bond enthalpy, hess law, resonance energy. Lattice energy , hydration energy, enthalpy of formation of ion, kirchhoff equation, integral enthalpy of solution, calculation of lattice energy using born haber cycle  1 hr 7 Minutes 
Lecture#  Description  Duration 

01  State of matter (solid, Liq, gas) ideal gas equation, Boyle’s law.  32 Minutes 
02  Barometer, faulty Barometer  33 Minutes 
03  Problems on barometer, Charles law  40 Minutes 
04  Gaylussac’s law, Avogadro's law, ideal gas equation  21 Minutes 
05  Numerical  45 Minutes 
06  Graham’s law for diffusion.  36 Minutes 
07  Kinetic theory of gas, root mean square velocity  40 Minutes 
08  Compressibility factor (Z) pressure correction factor, volume correction factor, excluded volume, van der waal gas equation  50 Minutes 
09  Virial equation, liquification of gas, critical temperature (Tc) Critical pressure (Pc) Critical volume (Vc) Boyle’s temperature  46 Minutes 
10  Liquification of gas manometer (Open end, Closed end, reduced equation of state), Collision diameter, Collision frequency 
52 Minutes 
Lecture#  Description  Duration 

01  Cathode tube experiment anode rays, radioactive decay.  33 Minutes 
02  Thomson plum pudding model. Rutherford model, Nearest distance of approach.  51 Minutes 
03  Electromagnetic theory, Planck Quantum Theory, Blackbody radiation, electron volt.  50 Minutes 
04  Photoelectric effect, Work function, Threshold frequency stopping potential.  41 Minutes 
05  Photo current photo intensity, Bohr model, Bohr Radius  34 Minutes 
06  Velocity, Kinetic Energy, Total energy, Potential energy of electron in Bohr orbit  29 Minutes 
07  Time period, frequency, ionisation energy, ionisation potential, Excitation energy, excitation potential Binding energy.  35 Minutes 
08  Spectrum, emission, line spectrum, band spectrum , Hspectrum, lyman series.  45 Minutes 
09  Balmer series, Paschen, Brackett, Pfund, humphrey series, maximum number of spectral lines.  50 Minutes 
10  Limitations of bohr model, dual nature of particle, de broglie's equation  41 Minutes 
11  Heisenberg’s uncertainty principle Difference between orbit & orbital  39 Minutes 
12  Types of orbitals {s, p, d, f}, quantum numbers, (principal, azimuthal, magnetic, spin)  37 Minutes 
13  Electron filling rule, Aufbau principle, Hund’s rule, pauli’s exclusion principle, magnetic nature, magnetic moment  47 Minutes 
14  Wave quantum theory, schrodinger wave equation, radial node, angular node.  42 Minutes 
Lecture#  Description  Duration 

01  Dobereiner's triad, Newland’s octave law, lother meyer curve, Mendeleev's periodic table. Moseley's periodic table  31 Minutes 
02  Periodicity, blocks in periodic table, diagonal relationship, naming of element z > 100, Determination of period & block, Ionic radius  37 Minutes 
03  Covalent radius, vanderwaal radius, effective nuclear charge, shielding effect/screening effect, slater’s law  34 Minutes 
04  Factor affecting atomic radius. trend of atomic radius exception of atomic radius, lanthanide contraction.  40 Minutes 
05  Ionisation energy, Factors affective IE, Trend in I.E.  27 Minutes 
06  Exceptions in ionisation energy,Comparison of IE1 & IE2,Application of IE ionisation energy  40 Minutes 
07  Electron affinity, electron gain enthalpy, factor affecting electron affinity,  41 Minutes 
08  Second electron gain enthalpy,Electronegativity, Pauling scale, mulliken scale, Hanny smith of formula.  44 Minutes 
09  Nature of XOH Acidic, basic, neutral and amphoteric oxide, Nature of oxide, Hydroxide and oxyacids, Inert pair effect 
50 Minutes 
Lecture#  Description  Duration 

01  Chemical bond, ionic bond, lattice energy, born haber cycle, Hess law  46 Minutes 
02  Properties of ionic compound, Hydration & Hydration energy. Solubility in water.  39 Minutes 
03  Factors affecting Hydration Energy, Solubility order, Covalent bond, Lewis concept.  38 Minutes 
04  Lewis structure, Exception of Lewis rule, Hypovalent, Hypervalent, odd electron species, coordinate bond formation, lewis acid & base.  42 Minutes 
05  Formal charge, Resonance  46 Minutes 
06  Valence bond theory (VBT) ,axial & Lateral overlapping,𝞂 bond, Π bond, 𝛅 bond  49 Minutes 
07  Hybridisationsp, sp2, sp3, sp3d, sp3d2, sp3d3  48 Minutes 
08  Steric number rule for hybridisation, Valence shell electron pair repulsion theory VSEPR  48 Minutes 
09  Examples of sp & sp2 Hybridisation  41 Minutes 
10  Fullerenes, diamond, Compounds of phosphorus & sulphur.  53 Minutes 
11  Compounds of silicon, Silica, orthosilicate, pyrosilicate, chain silicate, cyclic silicate, double chain silicate 
50 Minutes 
12  Silicons, equivalent and nonequivalent hybrid orbitals bent rule  42 Minutes 
13  Examples of sp3d, sp3d2 & sp3d3 Hybridisation, Drago’s rule.  40 Minutes 
14  Molecular orbital theory (MOT), linear combination of atomic orbital (LCAO)  46 Minutes 
15  MOT examples , sp mixing ,O2, F2, H2, N2, Ne2  1 hrs 
16  HOMO & LUMO,GERADE & UNGERADE,Dipole moment & ionic character in ionic compound  37 Minutes 
17  Application of dipole moment % ionic character by dipole moment fazan, rule, covalent character in ionic compound  57 Minutes 
18  Application of fajan's rule, Banana bonding in diborane.  50 Minutes 
19  Back bonding in BF3 examples of back bonding  44 Minutes 
20  Bond angle comparison bond length & bond strength comparison.  37 Minutes 
21  p𝚷  d𝚷 bonding, p𝚷  p𝚷 bonding Solubility due to hydrolysis of BF3, SiCl4, PCl3, compound, Interhalogen 
21 Minutes 
22  Metallic bonding, H bonding, intermolecular Hbonding Intramolecular H bonding  49 Minutes 
23  Examples of hbonding, van der waal forces( iondipole, dipoledipole , ioninduced dipole, dipoleinduced dipole, london dispersion forces)  55 Minutes 
24  Factors affecting van der waal forces , existence and nonexistence of molecules  43 Minutes 
Lecture#  Description  Duration 

01  Member of boron family. Physical properties (radius, oxidation state, ionisation energy, electronegativity, density) Chemical properties (reactivity with air) Anomalous behaviour of B Diagonal relationship between B & Si. 
28 Minutes 
02  Formation of boron, compounds of boron, B3O3, boric acid, borax bead test.  27 Minutes 
03  Diborane, borazine, boron nitride, back bonding in BF3.  49 Minutes 
04  Aluminium, Compounds, Al2O3, Al(OH)3, AlCl3 ,Carbon family, Inert Pair effect, order of ionisation energy, electronegativity, Atomic radius, Anomalous behaviour of carbon.  38 Minutes 
05  Allotropes of carbon, diamond, graphite, fullerene, reactivity with O2., H2O & X2.  34 Minutes 
06  Compound of carbon,Carbon monoxide,Carbon dioxide,Carbonic acid,Compounds of silicon,Silica  27 Minutes 
07  Ortho silicate,Pyrosilicate ,Cyclic silicate,Chain silicate,Double chain silicate,Sheet silicate,3D silicate,Silicates,Compounds of tin & & Lead  29 Minutes 
Lecture#  Description  Duration 

01  Physical and chemical properties of alkali metal( ionisation energy, atomic radius , physical appearance, b.p. And m.p.)  32 Minutes 
02  Reaction of alkali metal with O2, h2O, halogen, carbon, reducing nature of alkali metal , solution in liquid ammonia, anomalous behaviour of lithium  44 Minutes 
03  Diagonal relationship between lithium and magnesium, compounds of sodium Na2O2, formation of NaOH  29 Minutes 
04  Properties of NaOH, , Na2CO3, sovay process , NaHCO3  22 Minutes 
05  Microcosmic salt, compounds of potassium, solution in liq. Ammonia  8 Minutes 
06  Physical and chemical properties of alkaline earth metal( ionisation energy, atomic radius , physical appearance, b.p. And m.p.)  38 Minutes 
07  Hydride , hydroxide, oxide , nitride of alkaline earth metal  20 Minutes 
08  anomalous behaviour of berylium,Diagonal relationship between berylium and aluminium, compounds of Mg and Ca, gypsum and plaster of paris 
Lecture#  Description  Duration 

01  Introduction Different concentration terms interconversion, colligative properties, van’t hoff factor calculation, osmotic pressure. 
33 Minutes 
02  Osmosis , Osmotic pressure (different cases)  47 Minutes 
03  Numericals on osmotic pressure  46 Minutes 
04  Vapour pressure, relative lowering of vapour pressure,  41 Minutes 
05  Numericals on RLVP, Ostwald walker method  40 Minutes 
06  Elevation in boiling point, calculation of Kb (molal elevation boiling point constant) . Depression in freezing point, Calculation of Kf,  54 Minutes 
07  Numericals on elevation in boiling point and depression in freezing point  36 Minutes 
08  Thermodynamic explanation of 𝝙Tb & 𝝙Tf  6 Minutes 
09  Raoult’s law when two volatile liquids are mixed  49 Minutes 
10  Ideal and nonideal solution  34 Minutes 
11  Azeotropes, mixture of two immiscible liquids, solubility of gas in liquid, henry law  58 Minutes 
Lecture#  Description  Duration 

01  Types of solid, Crystal, Amorphous, unit cell, 2D, 3D, space,lattice.  42 Minutes 
02  Primitive, body centred, face centered contribution of atoms in cubic unit cell. Packing fraction of square packing and hexagonal packing  47 Minutes 
03  Coordination Number, packing fraction, density of solid.,Simple cubic, BCC, FCC, CCP  44 Minutes 
04  Closed packing in 3D HCP packing, Linear void, Triangular void, Tetrahedral void, octahedral void, Cubical void Types of void in FCC 
57 Minutes 
05  Voids in FCC,Different radius ratio for ionic compounds.  47 Minutes 
06  Calculation of nearest, next nearest and next to next nearest atoms in SC, BCC, FCC.  29 Minutes 
07  Structure of NaCl type, Zns type, CaF2 type, Na2O type, CSCl type, Diamond  50 Minutes 
08  Spinal structure, perovskite corundum structure, packing fraction of NaCl, Defect In crystal, Schottky, Frenkel, Interstitial  39 Minutes 
09  Non stoichiometric defect, cation excess defect cation deficiency defect, Paramagnetic, Diamagnetic Ferromagnetic, Ferrimagnetic, Antiferromagnetic compound  31 Minutes 
Lecture#  Description  Duration 

01  Fast reaction , slow reaction, moderate reaction, average rate of reaction, instantaneous rate of reaction, relation of rate of reaction between various reagents , order  57 Minutes 
02  Order law, zero order reaction  35 Minutes 
03  First order reaction  28 Minutes 
04  Half life period for first order reaction  27 Minutes 
05  Average life period for first order, generation time , first order bacterial growth, second order reaction  24 Minutes 
06  nth order reaction, pseudo first order reaction  35 Minutes 
07  Rate of reaction of two or reactant are taken, calculation of order by half life method  32 Minutes 
08  Initial rate method , integrated rate law, ostwald isolation method to determine order  40 Minutes 
09  Monitoring of first order reaction using pressure measurement  30 Minutes 
10  Monitoring of first order reaction using titration and optical rotation  42 Minutes 
11  Arrhenius transition state theory  29 Minutes 
12  Arrhenius equation  32 Minutes 
13  Effect of catalyst on rate constant, temperature coefficient for reaction  39 Minutes 
14  Simple and complex reaction, molecularity, rate determining step RDS  29 Minutes 
15  Determination of rate if RDS is given , steady state approximation,complexity in first order reaction, parallel first order reactions  48 Minutes 
16  Reversible first order reaction  29 Minutes 
17  Consecutive first order reaction  19 Minutes 
Lecture#  Description  Duration 

01  Cause of radioactivity belt of stability , comparison between alpha particle, beta particle and gamma rays  15 Minutes 
02  Group displacement law soddy fajan rule,, k– electron capture ,first order decay.  28 Minutes 
03  Radioactive decay  28 Minutes 
04  Carbon dating, Age of rock using U & Pb,Age of rock using U & He  53 Minutes 
05  Mass defect ,Binding energy, Binding energy per nucleon. Nuclear fission and fusion.  51 Minutes 
Lecture#  Description  Duration 

01  Adsorption, Adsorbate, Adsorbent, Thermodynamics of Adsorption, Adsorption v/s Absorption, Physical Adsorption.  47 Minutes 
02  Freundlich & Langmuir isotherm, catalytic action of Homogeneous catalyst & Heterogeneous catalyst, Positive & negative catalyst, Homogeneous catalyst, Promoters, Catalytic poison, zeolites, enzyme catalyst, Types of solution, Dispersed phase & Dispersion medium.  48 Minutes 
03  Types of colloidal solution, Lyophobic, Lyophilic, macromolecular, micromolecular, Associated colloid/ micelle, cleansing action of soap, Bredig’s arc method,Peptization  43 Minutes 
04  Chemical method to prepare colloidal solution, Tyndall effect, Brownian motion, Electrophoresis, coagulation, protection of colloid.  53 Minutes 
05  Gold number, Helmholtz double layer theory ,emulsion.  22 Minutes 
Lecture#  Description  Duration 

01  Electrochemical cell, Oxidation half cell, Reduction half cell, Galvanic cell  1 hr 05 Minutes 
02  Salt bridge, Daniel cell net cell reaction reaction Quotient cell representation relation between DG & E properties of DG & E,nernst equation  44 Minutes 
03  Spontaneity of reaction in cell, nernst equation cell at equilibrium, concentration cell. Hydrogen electrode and standard hydrogen electrode  44 Minutes 
045  Metal + insoluble salt + soluble anion type half cell Eg. Ag + AgCl + Cl– 
1 hr 15 Minutes 
05  Calomel electrode, electrochemical series, thermodynamics for electrochemical cell, 𝝙G, 𝝙H, 𝝙S  59 Minutes 
06  Electrolysis & electrolytic cell, electrolysis of nacl, nabr, H2SO4,H2O, first law of electrolysis Faraday law  1 hr 11 Minutes 
07  Examples of first law of faraday, second law of faraday  51 Minutes 
08  Primary cell ,leclanche cell, secondary cell, lead storage battery , NiCd cell , H2O2 fuel cell, electrolytic conduction  50 Minutes 
09  Molar conductivity, equivalent conductivity , relation between molar cond. And equv. Cond., kohlrausch law, calculation of molar cond using wheatstone bridge , relation between molar cond. And concentration for weak electrolyte and strong electrolyte ,huckel onsager equation  54 Minutes 
10  Ionic mobility, conductometric titration for strong acid V/s strong base , strong acid v/s weak base and other examples  51 Minutes 
Lecture#  Description  Duration 

01  Types of ore, Methods of metallurgy, crushing grinding, concentration, gravity separation, magnetic separation, froth floatation.  38 Minutes 
02  Leaching, calcination, roasting, flux, slag, reduction with carbon, carbon monoxide, self reduction. Electrolytic reduction is fused / aqueous solution.  40 Minutes 
03  Reduction with Al, Mg, H2, Thermal decomposition, metal displacement reduction, metallurgy of Aq & Au, Macarthur forrest cyanide method, copper extraction.  38 Minutes 
04  Extraction of Pb, Zn, Hg, Sn, Fe, Al, bayer methode, Hall, serpeck, HallHeroult method.  42 Minutes 
05  Extraction of Mg, Dow process, Extraction of sodium purification method Liquidation, Distillation Vapour phase refining, poling process, Mond process, Van Arkel method, Electrolytic refining.  46 Minutes 
06 
Parting with Cl2, concentrated H2So4, Parke process, Thermodynamic of metallurgy Ellingham diagram.

50 Minutes 
Lecture#  Description  Duration 

01  Simple salt, mixed salt, double salt, coordination compound, central atom, ligand, coordination number, oxidation number :  30 Minutes 
02  Denticity, flexidentate, Ambidentate liquid  24 Minutes 
03  Coordination polyhedron, Naming of central atom, cationic ligand, neutral ligand, anionic ligand  27 Minutes 
04  Naming of anionic ligand , rules for naming of complex salt, formula of complex , naming of complex having bridging ligand  1 hr 02 Minutes 
05  Name of complex containing bridging ligand, reaction with AgNO3, reaction with BaCl2 electrical conductivity  32 Minutes 
06  Reaction with conc. H2SO4, Werner’s theory, Sidgwick EAN rule.  23 Minutes 
07  Valence bond Theory (VBT)  40 Minutes 
08  Crystal field theory for octahedral complex.  37 Minutes 
09  Crystal field theory (octahedral complex Examples)  51 Minutes 
10  Crystal field theory (octahedral complex Examples), CFT for square planar complex, CFT for tetrahedral complex, structural isomerism, ionisation, hydrate, ligand , linkage, coordination isomerism  1 hr 05 Minutes 
11  Examples of tetrahedral complex, factors affecting crystal field splitting energy  54 Minutes 
12  Stereoisomerism, geometrical & optical isomerism  57 Minutes 
13  Optical isomerism in octahedral complex & factors affecting splitting  45 Minutes 
14  Properties of coordination compound stability, magnetic nature, colour, dd transition.  53 Minutes 
15  Charge transfer in brown ring, sodium nitroprusside, back bonding in metal carbonyl, Delta bond, synergic bonding, bonded organometallic compound,ferrocene, zeise salt.  1 hr 01 Minute 
Lecture#  Description  Duration 

01  Physical properties of nitrogen family (atomic radius, Ionisation energy, Electronegativity, Oxidation state), Chemical properties (Hydride, Oxide, Halide)  46 Minutes 
02  Compounds of Nitrogen, N2, NH3, N2O, NO 
34 Minutes 
03  Compounds of Nitrogen N2O3, N2O4, N2O5, HNO2, HNO3 allotropes of phosphorus (white, red, black) 
31 Minutes 
04  Compounds of phosphorus, PH3, P4O6, P4O10, PCl3, PCl5  30 Minutes 
05  Physical properties of oxygen family (atomic radius, Ionisation energy, Electronegativity, Oxidation state), Chemical properties (Hydride, Oxide, Halide), dioxygen, types of oxide(acidic,basic,neutral,amphoteric,mixed oxide), ozone ,hydrogen peroxide  34 Minutes 
06  Allotropes of sulphur, H2S, SO2, SO3, Hypo solution Na2S2O3  20 Minutes 
Lecture#  Description  Duration 

01  Properties of Halogen family members, Atomic radius,Ionisation,enthalpy,Electronegativity, Bond energy,Anomalous behaviour of fluorine  27 Minutes 
02  Properties of F2, Cl2, Br2, I2 Haloger acid HCl, HBr, HI  28 Minutes 
03  Properties of HF, CaOCl2, HOCl, HClO2, HClO3. Bleaching powder CaOCl2  32 Minutes 
04  HClO4, Interhalogen Compounds & their Hydrolysis, Pseudo halide, Pseudo Halogen Noble gas 
22 Minutes 
05  Properties (atomic radius, Mp, b.p. ionisation energy) of noble gas family Reaction with xenon with F2 & H2, addition compound, Hydrolysis reaction 
21 Minutes 
Lecture#  Description  Duration 

01  Transition metal, general configuration atomic radius, ionization energy.  33 Minutes 
02  Density, melting point, oxidation state, standard electrode potential, colour, magnetic properties, nature of oxide, interstitial compound, catalytic properties, alloy formation  33 Minutes 
03  Potassium dichromate, Potassium permanganate ,AgBr photography.  39 Minutes 
Lecture#  Description  Duration 

01  Definition of isomerism, Classification of isomerism, Chain isomerism, Positional isomerism  45 Minutes 
02  Functional isomerism, Ringchain isomerism, Metamerism  40 Minutes 
Lecture#  Description  Duration 

01  Introduction, Classification of stereoisomerism, Geometrical Isomerism (G.I.)  20 Minutes 
02 
G.I. in C=C system , G.I. in Ring system , G.I. due to double bond inside the ring , Cummulenes 
55 Minutes 
03  G.I. in C=N system, E/Z Nomenclature  55 Minutes 
04  Number of geometrical Isomers, Cummulenes, Spiranes, Cycloalkylidenes, Diphenyl system, Physical properties of geometrical isomers  58 Minutes 
05  Optical Isomerism , Plane polarised light , Chiral centre , Chirality ' Assymmetric molecules , Dissymmetric molecules , Plane of symmetry (POS), Centre of symmetry (COS)  1 Hr 09 Minutes 
06  POS, COS. Chirality, Optical activity  55 Minutes 
07  WedgeDash projection fromula , Fischer–Projection formula , Absolute configuration (R/Sconfiguration) , CIPRule  52 Minutes 
08  Enantiomers , Diastereomers , Axis of symmetry (AOS)  
09  Erythro enantiomers, Threo enatiomers, D/L Configuration (Relative configuration) , Number of stereoisomers , Pseudo chiral carbon (PCC), Racemic mixture (or, R/Smixture) , Polarimeter , Functioning of polarimeter , Percentage enantiomeric excess (%EE), Optical purity  58 Minutes 
10  Optical Resolution , Tertiary amine optical activity , Optical activity in absence of chiral centre , Cummulenes , Spiranes , Cycloalkylidene, Diphenyls , Alternating axis of symmetry (AAOS) , Conformational Isomerism  Minutes 
11  Conformational isomers , Newmann projection formula , Dihedral angle (DHA) , Tortional strain (T.S.) , Vander waals strain (V.S.) , Angle strain (A.S.) , Definition of conformational isomers, Conformational analysis , Sawhorse projection formula  57 Minutes 
12  Conversion of Fischer to Newmann, Conformational analysis of cyclohexane , Energy profile  51 Minutes 
13  Conformational analysis of dimethyl cyclohexane  15 Minutes 
Lecture#  Description  Duration 

01  Structural Identification, Degree of unsaturation (DU), Catalytic hydrogenation H_{2}/cat, Monochlorination Cl_{2}/hn  29 Minutes 
02  Structural Identification , Monochlorination Cl_{2}/hv , Ozonolysis , Reductive ozonalysis , Oxidation ozonalysis , Practical organic chemistry (POC), POCI , Lassaigne’s test, Elemental analysis  54 Minutes 
03  Elemental anlaysis , Test of unsaturation, Test of terminal alkyne , Test of alcohols , Test of carbonyl compounds , Tests of aldehydes  35 Minutes 
04  Iodoform Test, Sodium metal test  19 Minutes 
05  Sodiumbicarbonate test (N_{a}HCO3), Test of phenols and enols , Test of nitro compounds , Test of amines , Hinseberg’s test , POCII  33 Minutes 
Lecture#  Description  Duration 

01  Electornic effect , Inductive effect  36 Minutes 
02  Applications of IEffect , Resonance , Conjugated system  47 Minutes 
03  When double bond is in conjugation with vacant p , When double bond is in conjugation with fully filled p  28 Minutes 
04  When double bond is in conjugation with fully filled p, When double bond is in conjugation with half filledp , When +_{ve} charge and lone pair are adjacent , dorbital resonance , Conditions of Resonance, Mesomeric effect (M)  53 Minutes 
05  Stability of resonating structures (R.S), Steric Inhibition of Resonance (SIR) , Equivalent R.S.  35 Minutes 
06  Equivalent R.S. , Hyperconjugation HC , Hyperconjugation in carbocations , Hyperconjugation in Alkenes , Heat of hydrogenation (HOH)  54 Minutes 
07  Hyperconjugation in Toluene, Hyperconjugation in Free Radicals, Electromeric effect (E), Applications of electronic effects , Dipole moment, Bond length , Aromaticity , Benzenoids and Nonbenzenoids  38 Minutes 
08  Examples of aromatic compounds , Heterocyclic aromatic compounds  27 Minutes 
09  M.O. Diagram, Polycyclic aromatic compounds  24 Minutes 
10  Examples of aromatic systems, [n] Annulenes , NMR definition of Aromaticity , Resonance energy (RE)  37 Minutes 
11  Acidic strength of acids , Acidic strength of dicarboxylic acids  44 Minutes 
12  Aromatic acids , Ortho effect, Acidic strength of phenols , Feasibility of reactions , Sodium bicarbonate test of acids  52 Minutes 
13  Basic strength , Organic Nitrogenous bases.  12 Minutes 
14  Basic strngth of Aliphatiec amines , Aromatic amines  43 Minutes 
15  Basic strength of Amidines , Basic strength of Guanidines, Proton sponges, Site of protonation , Feasibility of Reaction  31 Minutes 
16  Carbanions (C^{}), Reactions in which carbanions are formed , Organometallic compounds, Active methylene group., Tautomerism, Types of Tautomerism  38 Minutes 
17  Enolisable –H, Ketoenol Tautomerism, Mechanism of ketoenol Tautomerism  23 Minutes 
18  Stability of enol (Percentage enolcontent), Racemisation due to enolisation  43 Minutes 
19  DExcharge , Tautomerism in phenols , Ringchain Tautomerism , Unsymmetrical alphahydroxy ketones  37 Minutes 
Lecture#  Description  Duration 

01  Basic organic chemistry, Definition of organic compound , Representation of organic compound , Hybridisation  12 Minutes 
02  Number of Sigma and PI bonds , Degree of carbon , Degree of hydrogen , Degree of Alkyl halides, Degree of Alcohols , Degree of Amines , Degree of unsaturation (DU) , Calculation of DU , Fundamental definition of DU, Homologous series (H.S.)  46 Minutes 
03  Classification of organic compound , Aromatic compounds , Homocyclic compounds , Heterocyclic compounds , IUPAC Nomenclature , Scheme of IUPAC, Naming of Alkanes  38 Minutes 
04  Scheme of IUPAC, Naming of alkanes , Retained Names , Naming of alkenes  59 Minutes 
05  Naming of Alkene, Naming of Alkynes , Naming of cycloalkanes  33 Minutes 
06  Naming of cycloalkenes , Alkylidenes , Naming of cycloalkynes , Naming of Bicyclo compounds  42 Minutes 
07  Functional Groups (F.G.), Naming of carboxylic acids, Special Name of carboxylic acids , Naming of dicarboxylic acids  33 Minutes 
08  Naming of sulphonic acid , Naming of Alcohols , Naming of Amines , Naming of thioalcohols, Naming of Aldehydes , Special name of Aldehydes  49 Minutes 
09  Naming of Ketones , Naming of cyanides , Special name of cyanides , Naming of isocyanides , Naming of Amides , Special name of amides , Naming of acid halides  46 Minutes 
10  naming of acid halide, naming of acid anhydride, naming of esters, special name of ester  41 Minutes 
11  Naming of haloalkanes , Naming of Nitro compounds , Naming of Nitroso compounds , Naming of Aromatic compound , Benzene , Other aromatic compound  38 Minutes 
Lecture#  Description  Duration 

01  Carbocations C^{+}, Hybridisation of carbocations , Stability of carbocations , Rearrangement of carbocations , Type of shifts , Migratory aptitude  36 Minutes 
02  Migratory aptitude of aromatic group , Rearrangement in cyclic carbocations , Ring expansion (RE), Ring contracting (RC) , Cyclopropyl methyl carbocations (CPM–C^{+}), Stability order of carbocations , Some extra ordinary stable carbocations, CPM carbocation , Aromatic carbocations  42 Minutes 
03  Rearrangement of carbocation, Reaction mechanism , Solvents , Polar protic solvents (PPS), Polar aprotic solvents (PAs) , Reagents , Nucleophiles, Nu, Electrophilic E^{+}  35 Minutes 
04  Electrophiles, E^{+}, Nucleophiles, Nu, Nucleophilicity , Experimental order of Nu, Strong Nu with weak basic character , Strong Nu with strong basic character, Weak Nu with weak basic character , Solvation of Nu  47 Minutes 
05  Leaving group (l.g.), Leaving group ability , Unimolecular nucleophilic substitution reaction of first order (for R–X) i.e SN1 of R–X , Kinetics of SN1, Stereo of SN1, PE diagram of SN1, SN1 with rearrangement in C^{+}, Rate of SN1 reaction  36 Minutes 
06  SN^{1} or R–X, Solvolysis reaction , Factors affecting the rate of SN^{1} reactions , SN^{1} of alcohol R–OH  50 Minutes 
07  SN^{1} of R–OH, Lucas reaction , SN^{1} of ethers , Hydrolysis of ethers , SN^{2} reaction of (R–X), Kinetics of SN^{2} reaction , Stereochemistry of SN^{2} Rxn , PEdiagram of SN^{2} Rxn  43 Minutes 
08  Walden's experiment , Walden Inversion , Factors affecting the rate of SN^{2} Rxn , Halogen exchange reaction , Finkelstien reaction , Swart's reaction , SN^{2} Rxn of alcohol (R–OH), SN^{i} reaction of alcohol with SOCl_{2}  48 Minutes 
09  SN^{2} of ether , Reaction of epoxides , Williamson's ether synthesis  29 Minutes 
10  Intramolecular SN^{2} reactions , Neighbouring group participation (NGP) , Comparison between SN^{1 }and SN^{2} , SN^{1} Vs SN^{2}  41 Minutes 
11  Elimination Reaction , E^{1} elimination (of R–X), Saytzeff's rule , Regioselectivity , E^{1} of Alcohols, Acid catalysed dehydroation of alcohol, Dienone Phenol rearrangement , Pinacol  Pinacolone rearrangement , Semipinacol Pinacolone rearrangement  51 Minutes 
12  E^{2} Rxn of (R–X), Stereoselectivity and sterospecificity , Reagents of E^{–2} Reaction , Order of Rate of E^{–2}, Major Hofmann Alkene  37 Minutes 
13  Summary of SN^{1}/ SN^{2}/E^{1}/E^{2}, Stereo selectivity of E–2 reaction , E^{1}CB reaction , Cases when Hofmann Alkene is the major product  40 Minutes 
14  Tetraalkyl ammonium hydroxide , E–2 Rxn, Didehalogenation , Stereoselectivity , Isotope effect (K_{H}/K_{D})  24 Minutes 
Lecture#  Description  Duration 

01  Organometallic compounds , Preparation of G.R.  12 Minutes 
02  Preparation of GR, Solvents of GR, Reaction of GR, Acidbase reaction of GR, Zerewitinoff's active hydrogen determination  33 Minutes 
03  Nucleophilic addition reaction of GR, SN2 Th reaction of GR  30 Minutes 
04  Unstable GR, Mono GR is not possible with dihalide , Reaction of GR with CO2, Reaction of GR with O2, Reaction of GR with RCN, Digrignard reagent , Reactions of digrignard reagent  40 Minutes 
05  Attack of GR on weak bond, 1,2addtion & 1,4additon , Reaction of GR with metal halides , REDUCTION , Definition of reduction , Table of reducing agents , Catalytic hydrogenation  42 Minutes 
06  Catalylic hydrogenation , Stereoselectivity ,) Partial hydrogenation , Lindlar's catalyst , P2 catalyst (Nickle Boride), Birch reduction  44 Minutes 
07  Hydroboration Reduction (HBR), Transfer Hydrogenation, Clemmensen reduction , WolfKishner reduction, Lithium aluminium hydride (LiAlH_{4})  54 Minutes 
08  Sodiumboro hydride (NaBH4) (SBH), Triphenyltin hydride Ph3SnH (TPH), DiBAlH Diisobutyl Aluminium hydride , Red –P + HI, Mozingo reduction , MPV reduction , Oppeneaus Oxidation , BauvealtBlanc reduction , ALKANES, Free Radicals , Formation of free radicals , F.R. Catalyst/ Initiators / Promotors , F.R. Inhibitors/ Scavangers/Poisons , Stability of free radicals , Reactions of free radicals , Combination Reactions , Disproportionation reaction  53 Minutes 
09  Reactions of Free radicals , Stability of free radicals , Preparation of Alkanes , Wurtz Reaction (WR), WurtzFitting reaction , Fitting reaction , Frankland reaction , Kolbe's Electrolytic synthesis (KES), CoreyHouse Reaction  41 Minutes 
10  Corey House reaction, Decarboxylation , Decarboxylation by soda lime , Decarboxylation by heating  40 Minutes 
11  Properties of Alkanes , Chemical properties of Alkanes , Free Radical substitution reaction , PEdiagrams , Reactivity order , Conditions of halogenation  25 Minutes 
12  reactivity and selectivity , Percentage yield , Quantum yield , Isomerisation reaction of alkanes , Aromatisation reaction of alkanes , Petroleum , Physical Properties of alkanes  39 Minutes 
Lecture#  Description  Duration 

01  Alkenes , Preparation of Alkene , Pyrolysis of ester , Pyrolysis of xanthates (Chaugave reaction ) , Cope reaction , Didehalogenations  37 Minutes 
02  Chemical reactions of Alkenes , Electrophilic addition reaction (AE Rxn), Classical carbocation mechanism , NonClassical carbocation mechanism , Markowni Koff's rule , Addition of H–X, Antimarkowni Koff's rule  52 Minutes 
03  Addition of H2O on Alkenes , Acidcatalysed hydration of Alkenes , Oxymercuration Demercuration reaction (OM/DM), Hydroboration oxidation (HBO), Alkoxymercuration Demercuration , Addition of X_{2} on Alkenes  47 Minutes 
04  Addition of HOX on alkenes , Stereoselectivity , Order of rate of addition of X_{2} on alkene , Chemical reaction of Alkynes , Addition of HX on alkynes , Addition of H_{2}O on alkynes , Hydration of alkyne with dil H_{2}SO_{4} and HgSO_{4}, Hydroboration – Oxidation  48 Minutes 
05  Addition of HOX on alkynes , Preparation of alkynes , Isomerisation  24 Minutes 
06  Isomerisation mechanism , Reaction of terminal alkynes , Dienes , Conjugated diene , Addition NOCl on alkene , Allylic substitution , NBS Nbromosuccinimide  35 Minutes 
07  Reaction of NBS, MnO2 Oxidising agent , Carbenes , Sources of carbenes , Types of carbenes  21 Minutes 
08  Reaction of carbene , ReimmerTiemann reaction , Carbyl amine reaction , OXIDATION , definition of oxidation , Oxidation of alkenes and alkynes , Ozonolysis of Alkenes and alkynes , Oxidation of Ketone , Perhydroxylation of Alkenes (Formation of diols), Baiyer reaction – Baeyer's reagent , Osmium tetraoxide (OsO_{4}), Epoxidation by per acid  49 Minutes 
09  Oxidationstrong oxidising agent , Potassium dichromate K_{2}Cr_{2}O_{7}/H_{2}SO_{4}, Alkaline KMnO_{4}/ OH^{}, H_{2}CrO_{4} or CrO_{3} + H_{2}O, Table of oxidising agents , Oxidation of alcohols , Mild oxidising agents , Oxidation of periodic acid HIO_{4}, Oxidation of aldehydes , Oxidation with NBS, Tollen's reagent , Fehling's Reagent , Benedict's solution , Schiff's reagent  38 Minutes 
10  Oxidation of seleniumdioxide SeO_{2}, SideChain oxidation  13 Minutes 
Lecture#  Description  Duration 

01  Aromaticity , Benzenoids and NonBenzenoids , NMRdefinition of Aromaticity , Anti Aromaticity , Polycyclic aromatic compound , Azulenes , Reaction of AgNO_{3} and Nametal , (n)Annulenes , Peripheral aromaticity  44 Minutes 
02  Electrophilic aromatic substitution reaction , Halogenation of Benzene , BaltzSchiemann reaction , Nitration of benzene , Kinetic Isotope effect , Sulphonation of benzene , FriedelCraft reaction (F.C. Rxn), F.C. Alkylation  49 Minutes 
03  RingClosure at C1 and C–2, Dehydrogenation , Limitations of F.C. reaction , Friedel Craft Acylation , Ring closure , Directive influence or Directive effect , Table of activating and deactivating groups  44 Minutes 
04  Orthopara ratio , Direction effect on disubstituted benzene , Directive influence in monosubstituted benzene , Directive influence in naphthalene , Directive influence in diphenyl , Directive influence in Anthracene and phenanthrene, Directive influence in pyridine & pyrrole , SN2 Ar reaction , PHENOL, Preparation of phenol  37 Minutes 
05  Preparation of phenol from acid hydrolysis of cumene , Chemical reaction of phenol , Halogenation of phenol , Protection of –OH group, Nitration of Phenol , Sulphonation of Phenol, ReimerTiemann Reaction , ReimerTiemann formylation , ReimerTiemann carboxylation , Comparison of ReimerTiemann and carbyl amine reactions , KolbeSchmidt reaction , Some medicinally important compounds , Aspirine, Salol, Oil of winter green  39 Minutes 
06  Nitrosation of phenol , Use of phenol as nucleophile, ANILINE, Preparation of aniline from reduction of nitrobenzene , Selective reduction , Chemical reactions of aniline , Halogenation of Aniline , Nitration of Aniline, Sulphonation of Aniline  26 Minutes 
07  Fries rearrangment reaction in Phenol , Claisen rearrangement , Diazotisation of Aniline , Reaction of Benzene diazonium chloride (BDC) , Sandmeyer reaction , Baltzscheimann reaction , Experimental evidence of formation of phenyl cation , Amination – Deamination  43 Minutes 
08  AMINES, Preparation of Amines , Hofmann Bromamide reaction , Hofmann methylation , Gabriel phthalimide reaction , Coupling reaction of BDC  32 Minutes 
09  Test of Amines ,Isocyanide Test of 1º Amine , Test with nitrous acid HNO2, CYANIDES and ISOCYANIDES , Preparation of cyanides and isocyamide , Hydrolysis of cyanides and isocyanides , IPSOSubstitution  23 Minutes 
10  Basic Strength, Definition of bases , Scales of basic strength , Organic Nitrogenous bases  12 Minutes 
11  Basic strength of Aliphatic amines , Basic strength of Aromatic amines , SH of H_{2}O, SIR effect on Aromatic amines , Basic strength of pyridine and pyarole  43 Minutes 
12  Amidinebasic strength , Guanidine basic strength , K_{b} order , Proton sponges , Site of protonation , Feasibility of reaction  31 Minutes 
Lecture#  Description  Duration 

01  Preparation of aldehydes & Ketones , Dehydrogenation , Hydrolysis of gem. dihalide , From dry distillation of Col. salt of fatty acid , From acid chloride (Rossenmund's) , Formylation of benzene (Gattermann Koch Ald. Synthesis) , Chemical reaction of carbonyl compound , Nucleophilic addition reaction , Addition of H_{2}O (Formation of hydrates)  41 Minutes 
02  Addition of R–OH (Formation acetal/Ketal), Addition of G.R., Addition of HCN (Formation of cyanohydrin), Addition of NH_{3}, Addition of Ammonia derivative  35 Minutes 
03  Addition of NaHSO_{3} (Sodium bisulphite) , Backmann rearrrangment , Cyclic Ketone  29 Minutes 
04  Condensation reaction , Aldol condensation reaction , Cross Aldol , Intramolecular Aldol reaction  40 Minutes 
05  Perkin condensation reaction , Classen Ester condenstion , CrossClaisen , Intramolecular claisen (Dieckmann's reaction ) , knoevenagel reaction  22 Minutes 
06  Reformatsky reaction , Favorskii reaction , Cannizaro reaction  23 Minutes 
07  Cross Aldol , Cross Cannizaro , Intramolecular cannizaro , Tischenko reaction , AlphaHalogenation , Haloform reaction , Iodoform test  44 Minutes 
08  Baeyer  Villiger Oxidation , Benzil  Benzilic acid Rearrangement , Dexchange reaction , Witting reaction , Benzoin condensation  33 Minutes 
Lecture#  Description  Duration 

01  Carboxylic acid preparation , ArndtEistert reaction (Homologation of acid), Chemical reactions of carboxylic acids , Hunsdiecker reaction  18 Minutes 
02  Decarboxylication reaction , Decarboxylation of acids by soda lime (SL), Decarboxylation by heating , HellVolhardZelinsky (HVZ) reaction , Acid derivatives , Preparation of acid derivatives , SN^{2 Th} reaction , Esters preparation , TypeI mechanism of esterification, TypeII mechanism of esterification  44 Minutes 
03  Examples of esterification, Hydrolysis of ester , Acid hydrolysis of ester and saponification , Acid amide , Hofmann Bromamide reaction , Curtius reaction , Schmidt reaction , Lossen reaction  28 Minutes 
Lecture#  Description  Duration 

01  Carbohydrates , definition , Classification of carbohydrates , Based on number of units , Based on water solubility , Based on reducing properties  18 Minutes 
02  Monosaccharides  Aldoses and Ketoses, D/Lconfiguration (Relative configuration) , Glucose , Cyclic hemiacetal structure of glucose , ANOMERS , EPIMERS , Haworth structure of glucose glucopyranose structure, Formation of methylOglucoside , Mutarotation, FRUTOSE , cyclic hemiacetal structure of fructose , Haworth structure of fructose Fructofuranose structure  47 Minutes 
03  SUCROSE, Inversion of sugar , Glycosidic linkage , Maltose ,Lactose , Starch , Amylose and amylopectin , Cellulose , Reaction of carbohydrates , Osazone formation of glucose and fructose  45 Minutes 
04  Amino acids , Types of AlphaAmino acids (AA), Neutral AlphaAA, Acidic AlphaAA, Basic AlphaAA, Zwitter ion , Isoelectric point (pI), Calculation of pI value  21 Minutes 
05  Peptides , Dipeptides , Peptide link, Polypeptides , Protein , Examples of Amino acids  18 Minutes 
06  Polymerisation , Classification of polymer , Based on source , Base on Intermolecular force of attraction , Elastromers , Fibres , Thermoplastics, Thermosettings , Polyethylene , Nylon6, Nylon6,6, Natural Rubber , Synthetic Rubber Neoprene , BunaS, BunaN , Dacron , Low density polyethylene (LDPE)  33 Minutes 
07  High density polyethylene (HDPE) , Polypropylene , Poly isobutylene , Poly vinyl chloride (PVC), Poly tetrafluoro ethylene (PTFEW Tefflon) , Poly acrylonitrile (PAN or orlon), Poly styrene , Poly methyl methanacrylate (PMMA or Lucite) or (Plexiglas or prespex), Natural Rubber Polyisoprene , Guttapercha, Vinylidene chloride Vinyl chloride polymer , LexanPoly carbonate , Glyptal , Bakelite (or phenol formaldehyde Resin), Melamine formaldehyde (Melmac) , Polyurethane  33 Minutes 
Lecture#  Description  Duration 

01  Variables, functions, angles, units of angles (Degree & radion) , conversion of units, Trigonometric ratios/ functions, values of trigonometric ratios, values of trigonometric ratios for angles grater than 90°,  36 Minutes 
02  unit circle method, CAST rule. Trigonometric formula, sine rule & cosine rule , Logrithem , exponential and inverse functions.  1 Hr 03 Minutes 
03  oordinate geometry , slope of a line , equation of straight line, parabola , ellipse, circle and rtectangular hyperbola.  30 Minutes 
04  Differentiation, geometrical meaning of differentiation, slope of a line, formulae for differentiation, rules of differentiation addition/subtraction rule, product rule, quotient rule, constant multiple rule, chain rule.  43 Minutes 
05  Higher order Differentiation , implicit functions , important problems .  25 Minutes 
06  Differentiation as rate measurement, maxima & minima.  50 Minutes 
07  Integration, geometrical meaning of integration, formulae of integration,  16 Minutes 
08  Definite integration, rules of integration, addition/ subtraction rule, method of substitution. Integration by parts, Integration as area under curve, indefinite integration , area under curve.  48 Minutes 
09  ntroduction to vectors, null vector, unit vector, negative of a vector, graphical representation and mathematical representation of a vector, angle b/w two given vectors,  36 Minutes 
10  Resolution of vector.Addition of vectors, triangle method and parallelogram method, substraction of vectors.  26 Minutes 
11  Dot product and its uses.  27 Minutes 
12  Cross product and its uses , right hand screw rule  48 Minutes 
Lecture#  Description  Duration 

01  Rest & motion, distance & displacement, speed, average speed , time average and space average, instantaneous speed, Uniform speed and non uniform speed,  49 Minutes 
02  velocity, average and instantaneous velocity, acceleration, average and instantaneous acceleration.  41 Minutes 
03  Equations of kinematics with constant acceleration, steps used to solve the problems based on equation of kinematics, motion under gravity.  41 Minutes 
04  graphical analysis, some important graphs, conversion of graphs, information collected from graphs.  16 Minutes 
05  Variable acceleration, steps used to solve the problems based on variable acceleration, when acceleration is dependent on time, distance and velocity.  21 Minutes 
Lecture#  Description  Duration 

01  Ground to ground projectile, time of flight, net velocity, trajectory equation, maximum height,  40 Minutes 
02  horizontal range.Projection at complementary angles from ground, some important relations and problems.  22 Minutes 
03  Problems based on ground to ground projectile.  20 Minutes 
04 

40 Minutes 
05  Problem on projectiles from tower  17 Minutes 
06 

41 Minutes 
07  Problems based on projectile on incline plane.  19 Minutes 
08 
Projectiles from moving platform, Collision of a projectile with vertical wall, some miscellaneous examples. 
41 Minutes 
Lecture#  Description  Duration 

01  Introduction to relative motion, one dimensional relative motion and two dimensional relative motion . Uses of equations of kinematics in 1D relative motion.  48 Minutes 
02  uses of equations of kinematics in 2D relative motion , Velocity of approach and velocity of separation in 1D, Velocity of approach and velocity of separation in 2D, condition for two particles to collide, minimum separation b/w two moving particle, time taken to come at minimum separation miscellaneous problems .  45 Minutes 
03  miscellaneous problems  32 Minutes 
04  River boat problem in one dimension.  18 Minutes 
05  River boat problem in two dimensions, direct crossing, minimum time taken to cross the river, minimum drift , minimum velocity  45 Minutes 
06  Windaeroplane problem. Rain man problem, some illustrations.  48 Minutes 
Lecture#  Description  Duration 

01  Force, fundamental forces, normal force, tension force, Newton’s lst law, 2nd law , and 3rd law, equation of motion, Inertia.  50 Minutes 
02  free body diagram ,Equilibrium, types of equilibrium, steps to solve the problems based on equilibrium, problems  48 Minutes 
03  steps used to solve the problems of accelerated motion, problems , atwood machine  32 Minutes 
04  Constrained motion, string constraint, displacement method, tension method, differentiation method, two block one pulley system,  36 Minutes 
05  constrained motion when string is inclined, wedge constraint.  32 Minutes 
06  Weighing machine, motion inside lift, apparent weight, weightlessness, spring balance , spring and spring force.  42 Minutes 
07  Reference frame, inertial frame and noninertial frame, pseudo force, illustrations  31 Minutes 
08  Newton’s laws for system , problems  25 Minutes 
Lecture#  Description  Duration 

01  Introduction to friction, properties of friction. Kinetic friction,coefficient of kinetic friction.  45 Minutes 
02  Static friction, coefficient of static friction, self adjustable nature of static friction, driving force, graph relating friction with driving force.  46 Minutes 
03  Contact force, angle of friction, minimum force required to slide a block , why pulling is easier than pushing?  31 Minutes 
04  Angle of repose, minimum and maximum force on the inclined plane so that block does not move , graph  27 Minutes 
05  System of two blocks, steps used to check the slipping b/w two blocks, problems  39 Minutes 
06  System of three blocks and miscellaneous examples.  29 Minutes 
Lecture#  Description  Duration 

01  Introduction to work, definition of work, point of application of force. Calculation of work done when force is constant  35 Minutes 
02  Sign of work done . work done by variable force,  28 Minutes 
03  work done from forcedisplacement graph, work done by friction, normal and gravity  24 Minutes 
04  work done by spring force.Work done by variable force along given path, conservative and nonconservative forces  28 Minutes 
05  methods to identify conservative forces , Deloperator, curl, Potential energy, its definition, external agent,  42 Minutes 
06  relation b/w conservative force and potential energy, how to find P.E. if conservative force is given and viseversa. Refrence line , gravitational Potential energy and spring potential energy  41 Minutes 
07  Equilibrium, types of equilibrium, stable, unstable and neutral equilibrium.  26 Minutes 
08  Kinetic energy , Work energy theorem, some examples.  17 Minutes 
09  Problems based on work energy theorem  26 Minutes 
10  Energy conservation, some examples, power, instantaneous power and average power.  26 Minutes 
Lecture#  Description  Duration 

01  Similarities b/w translational and rotational motion, angular displacement and its direction .  34 Minutes 
02  angular velocity and angular acceleration, equations of circular kinematics.  37 Minutes 
03  Relation b/w linear and rotational quantities, tangential acceleration centripetal/redial/normal acceleration. Total acceleration.  33 Minutes 
04  Time period , frequency , angular frequency , Problems  23 Minutes 
05  Radius of curvature of path, radius of curvature in projectile motion.  32 Minutes 
06  Types of circular motion, horizontal circular motion. Some important examples. Steps used to solve the problems based on circular dynamics. Vertical circular motion, some important examples.  50 Minutes 
07  Vertical circular motion of a ball attached with string , vertical circular motion of a ball attached with light rod.  35 Minutes 
08  Problems , Banking of roads with and without friction.  26 Minutes 
09  Centrifugal force, its direction and magnitude. Some examples.  33 Minutes 
Lecture#  Description  Duration 

01  Center of Mas, definitions, Type of mass distribution, discrete and continuous mass distribution, linear mass density, surface mass density, volume mass density. Calculation of com for system of particles. Com of system of two particles.  42 Minutes 
02  Calculation of com for continuous mass distribution, com of rod, semicircular ring, semicircular disc, solid hemisphere, hollow hemisphere, solid cone.  51 Minutes 
03  Com of a body with hole, problems  25 Minutes 
04  Motion of com, velocity of com, acceleration of com, impulsive force, impulse, impulsemomentum equation, important examples.Conservation of momentum, some important conclusions and examples.  48 Minutes 
05  Miscellaneous problems  19 Minutes 
06  Some important points related to center of mass and miscellaneous problems.  40 Minutes 
07  Spring mass system, steps to solve the problems based on springmasssystem. Problems , Collision, line of impact, coefficient of restitution,  39 Minutes 
08  classification of collision, headoninelastic collision, head on elastic collision, head onperfectly in elastic collision. Problems on collision.  39 Minutes 
09  collision with heavy mass. Oblique collision, problems  30 Minutes 
10  oblique collision with wall , problems  27 Minutes 
11  Variable mass, thrust force, rocket propulsion.  28 Minutes 
Lecture#  Description  Duration 

01  Definitions of periodic motion, oscillatory motion, and SHM, frequency, time period, amplitude, angular frequency.Differential equation of SHM, equation of SHM,  32 Minutes 
02  SHM as projection of uniform circular motion, phase,  30 Minutes 
03  Problems on phase , equation of SHM when mean position is not at origin.  30 Minutes 
04  Velocity, acceleration and displacement of particle in terms of time (t) and displacement (x). Graphs, potential, kinetic and total energy in terms of time (t) and displacement (x), important graphs.  54 Minutes 
05  Force method to find the time period, spring mass system ,  47 Minutes 
06  problems on force method, combinations of springs , springs in series , springs in parallel,  17 Minutes 
07  energy methods to find the time period and Problems on spring mass system  46 Minutes 
08  Angular SHM ,Differential equation of angular SHM, equation of angular SHM, method to find the time period in angular SHM  30 Minutes 
09  Time period of simple pendulum, time period of simple pendulum when forces other than gravity and tension are also present, effective g. Fractional and percentage error , error in measurement of g, time period of simple pendulum when length of wire is comparable to radius of earth, Compound pendulum, its time period, minimum time period,  52 Minutes 
10  Problems on compound pendulum , Torsional pendulum.  22 Minutes 
11  Superposition of two parallel SHMs and perpendicular SHMs.  40 Minutes 
Lecture#  Description  Duration 

01  Assumptions for Ideal gas, Average velocity, Average speed, RMS speed, Most Probable speed, Maxwell’s velocity distribution graph.  31 Minutes 
02  Miscellaneous problems related to calculation of RMS speed , average speed , most probable speed.  20 Minutes 
03  Derivation of Ideal gas equation, calculation of kinetic energy of molecules  23 Minutes 
04  Degree of Freedom, Maxwell’s law of Equipartition of energy and Internal energy.  17 Minutes 
05  Mean Free Path, Some miscellaneous problems.  33 Minutes 
06  Specific Heat Capacity, Adiabatic Exponent and gaseous mixture , molecular weight , Cp , Cv and γ of gaseous mixture.  33 Minutes 
07  Work done by gas when pressure is constant and when pressure is variable, indirect method of calculation of work done by gas, work done from PV diagram.  26 Minutes 
08  Problems based on calculation of work done by gas.  35 Minutes 
09  Zeroth law of Thermodynamics, first law of Thermodynamics, Sign convention for Heat supplied, work done by gas and change in Interval energy .problems based on 1^{st} law of thermodynamics.  39 Minutes 
10  Thermodynamics processes ,Isochoric process, Isobaric process, Isothermal process, , calculation of heat supplied & Specific Heat Capacity of all the processes.  25 Minutes 
11  Adiabatic process , Polytropic process, calculation of heat supplied & Specific Heat Capacity of these processes.  31 Minutes 
12  Cyclic process, Heat Engine and its Efficiency, carnot cycle  27 Minutes 
13  Refrigerator and its Coefficient of Performance,  20 Minutes 
14  Miscellaneous problems and Free Expansion.  31 Minutes 
Lecture#  Description  Duration 

01  Variation in pressure inside liquid with height, problems  32 Minutes 
02  Problems , Inclination of liquid surface in static condition, rotation of container filled with liquid.  44 Minutes 
03  Archimedes principle and force of buoyancy , Pascal’s law,  41 Minutes 
04  atmospheric pressure, Gauge pressure, Absolute pressure, Barometer, and Manometer.  20 Minutes 
05  Force applied by liquid on base of container and wall of container.Center of gravity, Center of Buoyancy, Metacenter, stability of completely submerged body and partially submerged body , metacentre.  56 Minutes 
06  Types of flow, Uniform and NonUniform flow, Laminar and Turbulent flow, Reynolds number, Equation of continuity, Volume flow rate and Mass flow rate, Bernoulli theorem.  42 Minutes 
07  Applications of Bernoulli theorem,  21 Minutes 
08  Venturimeter, velocity of Efflux, Syphon action.  29 Minutes 
Lecture#  Description  Duration 

01  Specific Heat Capacity, Heat Capacity, Specific Heat Capacity of water,  20 Minutes 
02  definition of unit of Calorie, Latent heat, Latent Heat of Fusion, Latent Heat of Vaporization.  20 Minutes 
03  change of State (Phase) of water with Temperature, illustrations.  18 Minutes 
04  Problems , temperature scale..  44 Minutes 
Lecture#  Description  Duration 

01  Linear expansion, Coefficient of Linear expansion, Differential expansion  18 Minutes 
02  effect of Temperature on pendulum clock, error in measurement by metallic scale,  25 Minutes 
03  Bimetallic strip, thermal stress  22 Minutes 
04  Areal expansion, Coefficient of Areal expansion, relation between α and β, expansion of holes inside metallic plate. Coefficient of Volume expansion, relation between α and γ,  28 Minutes 
05  Effect of Temperature on Density, Real and Apparent expansion of liquids.  37 Minutes 
Lecture#  Description  Duration 

01  Surface Tension ,wetted perimeter  31 Minutes 
02  Surface Energy, cause of Surface Tension.Excess Pressure inside liquid drop, Excess pressure inside Soap bubble. Radius of curvature of common surface of double bubble.  49 Minutes 
03  Cohesive force and Adhesive force, shape of liquid surface, Angle of contact.Capillary rise and illustrations.  33 Minutes 
04  Capillary action with mercury , radius of lower meniscus  28 Minutes 
05  Some miscellaneous problems  18 Minutes 
Lecture#  Description  Duration 

01  Definition and classification of wave, Mechanical & Non mechanical waves, Transverse & Longitudinal waves, Progressive and Stationary waves  29 Minutes 
02  Differential form of wave equation, General form of equation of Progressive wave, information that can be collected from general form of wave equation  26 Minutes 
03  How to find wave equation in terms of x and t when equation is given in terms of either x or t. wave on string introduction,Wavelength,Time period ,Frequency, Angular frequency, Wave number, Wave speed and velocity of particle, acceleration of particle, slope of string, direction of velocity of particle,  51 Minutes 
04  Expanded form of standard equation of wave . relation b/w Phase difference and Path difference, relation b/w Phase difference and Time difference  34 Minutes 
05  Derivation of speed of wave on string, examples  25 Minutes 
06  Instantaneous and Average power transmitted by wave, Instantaneous and average intensity of a wave on string  33 Minutes 
07  Superposition of waves,Interference,Resultant intensity, Constructive and Destructive Interference , miscellaneous problems.  1 Hr 02 Minutes 
08  Reflection and Transmission of wave from one to other medium, effect of Reflection and Transmission on frequency, speed, Wavelength and Phase. equation of reflected and transmitted waves. Amplitudes of reflected and transmitted wave 
32 Minutes 
09  Stationary waves, Nodes and Antinodes, Phase difference, properties of stationary waves.  59 Minutes 
10  Equation of stationary waves , vibration of string fixed at both ends, vibration of string fixed at one end.Resonance, Sonometer, Melde's experiment  39 Minutes 
11  kinetic energy and potential energy of small element of string.  30 Minutes 
Lecture#  Description  Duration 

01  Introduction to Sound wave, variation of pressure with time and distance, variation in density and position with time.  24 Minutes 
02  Equation of sound wave, relation b/w pressure Amplitude and Displacement Amplitude. Phase difference b/w Pressure wave and Displacement wave. Speed of Sound wave, Newton’s formula and Laplace corrections.  32 Minutes 
03  Dependence of speed of sound on Temperature, Pressure and relative Humidity. Intensity of sound wave, Wave front, Shape of wavefront for point source, Line source and Plane source. Variation of Intensity with distance from source.  44 Minutes 
04  Comparison of two sound waves. Sound level, relative Sound Level, Pitch , waveform and quality of sound. Superposition of two sound waves, interference constructive and destructive interference, Reflection of Sound, Echo.  44 Minutes 
05  Stationary wave in sound, vibrations of Air column in Organ pipes, Open Organ Pipe and Closed Organ Pipe  36 Minutes 
06  Resonance Tube method to find the speed of sound, Beats.  30 Minutes 
07  Doppler’s effect, when observer is moving and source is stationery, when source is moving and observer is stationary, when both source and observer are moving.  40 Minutes 
08  Doppler’s effect When medium is also moving.miscelleneous problems.  44 Minutes 
Lecture#  Description  Duration 

01  Elasticity, Plasticity, Deforming force, The reason behind Elastic and Plastic behaviour, Restoring force, Stress, Longitudinal Stress, Shear Stress and Bulk Stress, Strain, Longitudinal Strain, Shear Strain, Bulk Strain. Hook’s law, Modulus of Elasticity, Young’s Modulus, Modulus of Rigidity, Bulk Modulus, Compressibility,  41 Minutes 
02  Variation of Strain with Deforming force, Elastic Limit, Yield point, Fracture point, elongation in wire due to self weight. Analogy with spring, Spring constant of a wire Elastic Potential energy stored in the deformed wire.  25 Minutes 
03  Viscosity, Velocity Gradient, Viscous Force, Stoke’s forces Terminal Velocity.  28 Minutes 
Lecture#  Description  Duration 

01  Fundamental Quantities, Derived Quantities and Supplementary Quantities, Dimensions, Dimensional formula, some important concept (points) about dimensions,  27 Minutes 
02  Problems on dimensions, Dimensional Analysis. Units, System of Units and conversion of Units.  26 Minutes 
Lecture#  Description  Duration 

01  Newton’s law of gravitation, gravitational field due to point mass, circular arc, circular ring, circular disc, long rod, infinite plate, hollow sphere and solid sphere  43 Minutes 
02  variation in acceleration due to gravity with height and depth, effect of rotation of earth, effect of shape of earth.  27 Minutes 
03  Gravitational potential, gravitational potential due to point mass, circular arc, circular ring, circular disc, hollow sphere, solid sphere, relation b/w gravitational field and gravitational potential .  31 Minutes 
04  Gravitational potential energy, P.E. of two point mass system, self energy of hollow sphere and solid sphere, miscellaneous examples.  30 Minutes 
05  Motion of satellite, orbital velocity, time period, energy of satellite, binding energy, escape velocity, geostationary satellite.  26 Minutes 
06  Kepler's laws, path of a satellite according to its projection velocity. Miscellaneous examples.  47 Minutes 
Lecture#  Description  Duration 

01  Introduction, similarities b/w rotational and translational motion. Rigid body, types of motion of rigid body.  32 Minutes 
02  Moment of inertia definitions, calculation of MOI of a point mass, MOI of system of particles, MOI of a rod,  33 Minutes 
03  MOI of ring, MOI of disc, MOI of solid sphere, MOI of hollow sphere, MOI of cone, MOI of solid cylinder, MOI of hollow cylinder  1 Hr 
04  Perpendicular axes theorem, parallel axes theorem. MOI of a body with hole  1 Hr 08 Minutes 
05  Radius of Gyration. Torque, Calculation of torque,  55 Minutes 
06  Force couple, point of application.  20 Minutes 
07  Rotational and translational equilibrium.  33 Minutes 
08  Rotational equation of motion accelerated rotational motion. Some important examples.  54 Minutes 
09  Combined motion, rolling motion, slipping, skidding, perfect rolling,  1 Hr 01 Minutes 
10  Some important problems, trajectory of a point on wheel performing perfect rolling and radius of curvature of trajectory.  31 Minutes 
11  instantaneous axis of rotation, rotational K.E. , conversion of imperfect rolling to perfect rolling  1 Hr 14 Minutes 
12  Direction of friction in perfect rolling , Angular momentum, calculation of angular momentum,  36 Minutes 
13  calculation of angular momentum,  30 Minutes 
14  conservation of angular momentum in pure rotational motion , in pure translational motion and in combined motion , angular impulse momentum equation.  39 Minutes 
15  Collision of a particle with rigid body  23 Minutes 
16  Toppling and sliding.  34 Minutes 
Lecture#  Description  Duration 

01  Methods of heat transfer, conduction, convection and radiation. steady state, temperature gradient. Laws of conduction. Analogy with electric current  31 Minutes 
02  Problems on conduction, 1D heat transfer, 2D heat transfer, 3D heat transfer. Formation of ice layer on lake water surface.  36 Minutes 
03  Convection, Radiation, Reflection power, Absorption power, Transmittance power, Black body. Ferry’s block body. Emissive power of a body, Spectral emissive power, absorptive power, spectral absorptive power. Emissivity of a body, Prevost's heat exchange theory  34 Minutes 
04  Kirchhoff’s law of radiation, Stefan’s law of heat radiation, rate of cooling Newton’s law of cooling 
24 Minutes 
05  Average temperature method, integration method. Black body radiation, Wien's displacement law, solar constant  27 Minutes 
Lecture#  Description  Duration 

01  law of rectilinear propagation of light, Law of independence of light rays, Law of reversibility, Laws of reflections, types of reflection, regular and diffused reflection, Plane mirror, definition of Object and Image, virtual and real Object/Image. Image formation by plane mirror, Important points about Image formation by plane mirror, motion of object and its Image  52 Minutes 
02  Problems on motion of object and image in 3D, Rotation of Mirror and Incident ray  46 Minutes 
03  Problems , Images formed by two mutually inclined mirrors, field of view  50 Minutes 
04  Problems, Angle of deviation due to reflection  16 Minutes 
05  Curved mirrors, some definitions (terms) related with curved mirrors. Paraxial rays, focal plane.  42 Minutes 
06  sign conventions, Mirror formula, magnifications  28 Minutes 
07  ray diagram  28 Minutes 
08  problems, some examples, multiple reflections  34 Minutes 
09  motion of object and image, lateral magnifications  46 Minutes 
10  1/v versus 1/u graphs, UV graphs, Newton’s mirror formula  59 Minutes 
11  Refraction, Refractive index, Snell’s laws, some important points to remember, refraction through plane surface and parallel slabs.  46 Minutes 
12  Image formation due to refraction through plane surface, actual depth and apparent depth, problems  41 Minutes 
13  Lateral shift, Normal shift, combination of mirror and slabs  42 Minutes 
14  critical angle, total internal reflection, circle of illuminance, deviation due to refraction through plane surface  40 Minutes 
15  Prsim, Prism angle, angle of emergence, deviation by prism, condition for no emergence, angle of deviation by prism in terms of angle of incidence and angle of emergence. Condition for minimum deviation, minimum deviation  41 Minutes 
16  maximum deviation,thin prisms, deviation by thin prism  23 Minutes 
17  Cauchy’s equation, dispersion, mean deviation, angular dispersion, Dispersive power of Prism, combination of Prisms, Achromatic combination ,combination for direct vision  54 Minutes 
18  Refraction through curved surface, formula relating “v” and “u”,  27 Minutes 
19  Problems lateral and longitudinal magnification, motion of object and image.  27 Minutes 
20  Thin lenses, classification of thin lenses, Lens maker’s formula and Lens formula  35 Minutes 
21  lateral and longitudinal magnification, Ray diagrams,  28 Minutes 
22  sign convention, Image formation, Problems,  45 Minutes 
23  problems , some important points to remember  28 Minutes 
24  motion of Object and image, , 1/v versus 1/u graphs, UV graphs  39 Minutes 
25  power of lens, combination of lenses in contact. Combination of two lenses separated by distance “d”, combination of lenses and mirror in contact, focal length when one face of a thin lens is silvered  56 Minutes 
26  Displacement method to find the focal length of a lens,  15 Minutes 
Lecture#  Description  Duration 

01  Introduction to charge, properties of charge  43 Minutes 
02  Coulombs law, permittivity, relative permittivity, principal of superposition  52 Minutes 
03  Electric field and its strength due to a point charge , due to circular arc , due to circular ring  35 Minutes 
04  Electric field due to circular disc, infinite layer of charge , due to large conducting and non conducting sheets  43 Minutes 
05  Electric field due to straight conductor and related problems  40 Minutes 
06  Electric field due to non conducting solid sphere , hollow sphere and related problems  43 Minutes 
07  Electric field inside cavity and electrostatic pressure.  25 Minutes 
08  Electric potential, Electric potential due to a point charge , due to circular arc , due to circular ring , due to circular disc  31 Minutes 
09  Relation between electric field and electric potentials , Electric field due to Non conducting solid sphere and hollow sphere  48 Minutes 
10  potential difference due to infinite layer of charge and infinitely long line charge, Equipotential surface  34 Minutes 
11  Electric potential energy, potential energy of two point charge system , potential energy of point charge system, methods to find the potential energy of point charge system  42 Minutes 
12  self energy of hollow sphere, self energy of solid sphere, energy density , Potential energy of interaction  41 Minutes 
13  Problems on self energy and interaction energy , Electric line of forces (ELOF), properties of ELOF  17 Minutes 
14  Electric flux, solid angle and use of solid angle to find the electric flux  58 Minutes 
15  Gauss theorem, uses of Gauss theorem to find electric field due to hollow sphere  28 Minutes 
16  Electric field due to solid sphere/long line charge/solid cylindrical charged body/hollow cylindrical charged body by using gauss theorem  31 Minutes 
17  Electric dipole, Electric dipole moment, Electric field due to dipole on axial point/equatorial line/at general point  32 Minutes 
18  Electric potential due to dipole on axial point/equatorial line/at general point, Force and Torque experienced by a dipole in external uniform electric field, potential energy of dipole in external uniform electric field, force on dipole in non uniform electric field, force between two dipoles  52 Minutes 
19  Conductor, Earthing of a conductor , electrostatic shielding  28 Minutes 
20  charge distribution on inner and outer surface of concentric conducting spheres, , when two charged conductors are connected by a conducting wire  39 Minutes 
21  charge distribution on a conductor surfaces in the presence of external electric field  52 Minutes 
Lecture#  Description  Duration 

01  Newton’s law of gravitation, gravitational field due to point mass, circular arc, circular ring, circular disc, long rod, infinite plate, hollow sphere and solid sphere  43 Minutes 
02  Variation in acceleration due to gravity with height and depth, effect of rotation of earth, effect of shape of earth.  27 Minutes 
03  Gravitational potential, gravitational potential due to point mass, circular arc, circular ring, circular disc, hollow sphere, solid sphere, relation b/w gravitational field and gravitational potential  31 Minutes 
04  Gravitational potential energy, P.E. of two point mass system, self energy of hollow sphere and solid sphere, miscellaneous examples  30 Minutes 
05  Motion of satellite, orbital velocity, time period, energy of satellite, binding energy, escape velocity, geostationary satellite  26 Minutes 
06  Kepler's laws, path of a satellite according to its projection velocity. Miscellaneous examples  47 Minutes 
Lecture#  Description  Duration 

01  Current definition, Instantaneous current, Average current, current due to Circular and Translational motion of charge, Current through a conductor, Current density  33 Minutes 
02  mechanism of current flow. Relaxation time. Mean Free Path, Drift velocity, Resistance, Resistivity, Conductivity, Ohm’s law, Relation b/w current density & Electric field  29 Minutes 
03  Calculation of Resistance in different cases, , dependence of resistance on length & cross sectional area when wire is stretched, Effect of temperature on Resistance, Resistance in 2 D & 3 D current flow.  31 Minutes 
04  Battery, EMF, some important points about electrical circuits, Potential difference across battery, short circuit, and maximum power dissipated by a battery  1 Hrs 04 Minutes 
05  Kirchhoff’s junction law and voltage/loop law. Point potential method to solve the circuits.  37 Minutes 
06  combination of resistances, series and parallel combinations, Wheat stone bridge,  39 Minutes 
07  Method of symmetry, Infinite series of Resistances  38 Minutes 
08  combination of batteries .series and parallel combination of batteries,mixed combinations, combination of ideal batteries.  40 Minutes 
09  Electrical instruments, Galvanometer, sensitivity of Galvanometer, conversion of Galvanometer into Ammeter and Voltmeter.  45 Minutes 
10  Problems on galvanometer, ammeter and voltmeter  28 Minutes 
11  Potentiometer, Uses of Potentiometer to compare the EMF's of two batteries, to find the internal resistance and EMF of a battery, Meter bridge, zero error  51 Minutes 
12  Postoffice box, rating of electrical instruments like bulb and heater  45 Minutes 
Lecture#  Description  Duration 

01  Methods of heat transfer, conduction, convection and radiation. steady state, temperature gradient. Laws of conduction. Analogy with electric current  31 Minutes 
02  Problems on conduction, 1D heat transfer, 2D heat transfer, 3D heat transfer. Formation of ice layer on lake water surface  36 Minutes 
03  Convection, Radiation, Reflection power, Absorption power, Transmittance power, Black body. Ferry’s block body. Emissive power of a body, Spectral emissive power, absorptive power, spectral absorptive power. Emissivity of a body, Prevost's heat exchange theory  34 Minutes 
04  Kirchhoff’s law of radiation, Stefan’s law of heat radiation, rate of cooling Newton’s law of cooling 
24 Minutes 
05  Average temperature method, integration method. Black body radiation, Wien's displacement law, solar constant  27 Minutes 
Lecture#  Description  Duration 

01  Introduction to capacitor, types of capacitor, parallel plate capacitor, spherical capacitor, cylindrical capacitor  43 Minutes 
02  energy stored in a capacitor, work done by battery, heat loss, energy density,some problems.a conductor as a capacitor  41 Minutes 
03  Combination of capacitors, series & parallel combination. wheat stone bridge  36 Minutes 
04  Method of symmetry, Infinite series, point potential method, important problems Combination of two charged capacitors, some important problems  49 Minutes 
05  Problems on combinations of charged capacitors, combinations of conductors  42 Minutes 
06  Charging of capacitor, variation of charge , voltage and current with time ,steady state, graphs  34 Minutes 
07  Discharging of capacitor, time constant, variation in charge, voltage, current with time. Method to find the time constant of a circuit  39 Minutes 
08  Circuits with capacitors and resistors, problems  31 Minutes 
09  Dielectrics b/w plates of capacitor change in capacitance, charge and energy with dielectric.  29 Minutes 
10  Some important problems related to dielectric  29 Minutes 
11  Force on dielectric when battery remains connected, motion of dielectric. Force on dielectric when battery is removed, leakage current, dielectric strength  36 Minutes 
Lecture#  Description  Duration 

01  Natural magnet ,pole strength , magnetic dipole moment  20 Minutes 
02  magnetic field produced by Natural magnet at axial point , at Equatorial point and at general point, natural magnet in external magnetic field, Force ,Torque and potential energy of a magnet in external magnetic field. Force between two magnets  37 Minutes 
03  magnetic effect of charge and current, some important points , Right hand screw rule  28 Minutes 
04  Biot savort’s law , Right hand palm rule. Magnetic field produced by straight conductor  30 Minutes 
05  Shape of magnetic lines of forces around a conductor, some important problems  43 Minutes 
06  Circular arc and circular loop, solenoid and troid, magnetic field produced by solenoid and toroid  53 Minutes 
07  Magnetic field produced by moving charge, Biot savort’s law for moving charge. Magnetic field due to circular motion of charge  26 Minutes 
08  closed loop as a magnet . . magnetic dipole moment of closed loop, magnetic dipole moment of rotating charged bodies  26 Minutes 
09  ampere’s law , application of ampere’s law to find the magnetic field due to straight long conductor and long cylindrical conductor  29 Minutes 
10  problems on magnetic field due to cylindrical cavity inside a cylindrical conductor  25 Minutes 
11  Lorentz’s force, magnetic force on moving charge, motion of charge in external magnetic field , motion on circular path, important problems  47 Minutes 
12  motion of charge on helical path with constant pitch, motion on helical path with increasing pitch,  34 Minutes 
13  Motion of charge on cycloid path  27 Minutes 
14  magnetic force on a current carrying conductor, magnetic force between two straight current carrying conductors  27 Minutes 
15  Important problems ,magnetic force and torque on closed loop in external magnetic field  28 Minutes 
16  Earth as a magnet, magnetic and geographical axis, magnetic and geographical meridian, angle of declination, angle of dip, horizontal & vertical component of earth’s magnetic field  29 Minutes 
Lecture#  Description  Duration 

01  Magnetic flux, Faraday’s law, EMF induced, EMF induced due to change in area of loop, due to change in magnetic field ,due to rotation of loop, Lenz’s rule, examples  35 Minutes 
02  Important Examples on Lenz’s rule  23 Minutes 
03  Motional EMF, calculation of motional EMF, use of Motional EMF in circuit as battery,  32 Minutes 
04  Important problems on motional EMF  38 Minutes 
05  motional EMF due to rotation of conductor in external magnetic field.  24 Minutes 
06  Induced electric field due to varying magnetic field, Calculation of Induced electric field in varying magnetic field in cylindrical region  36 Minutes 
07  Self inductance, Inductor, potential difference across an inductor, Energy stored in an inductor, Inductor in a circuit  27 Minutes 
08  Current Growth in an inductor, Time constant, current decay in an inductor  37 Minutes 
09  Mutual induction, Mutual Inductance ,combination of inductors, series and parallel combination,  35 Minutes 
10  LC oscillator and problems  28 Minutes 
Lecture#  Description  Duration 

01  AC/DC introduction, RMS and Average value of Alternating EMF and current,  35 Minutes 
02  Important problems , AC circuits, circuit containing Resistor only, circuit containing capacitor only, circuit containing Inductor only  36 Minutes 
03  Steps to find instantaneous current in AC circuit, reactance, Impendence, phasor diagram, LCR series circuit, Quality factor  38 Minutes 
04  LC circuit, RC circuit, LR circuit. Examples on AC series circuits  32 Minutes 
05  Average and instantaneous power , Apparent power , power factor, wattles current Parallel AC circuits  52 Minutes 
06  Problems on parallel circuits , Choke coil and Transformer  50 Minutes 
Lecture#  Description  Duration 

01  Dual nature of Light, matterwaves, Debroglie’s formula for wavelength of matterwaves. Graphes relating different parameters of Photon and matter waves, example  41 Minutes 
02  Photometry, Energy of Photon, power incident and Intensity of light assuming particle nature of light, Impulse , Force & Pressure exerted by incident Photons  56 Minutes 
03  Problems on photometry, motion of Photon under gravity  24 Minutes 
04  Photo electric Effect, Work function of a metal, Threshold Energy/Threshold frequency/Threshold wavelength of an incident photon, Maximum kinetic energy of photoelectron, Graphs  37 Minutes 
05  Photocurrent, Saturation current, stopping potential, problems  50 Minutes 
06  graphs plotted by Einstein and conclusions from those graphs, Failure of classical wave theory and explanations given by quantum theory  23 Minutes 
07  Atomic structure, Dalton’s law, Thomson’s Plums pudding theory, Rutherford’s Atomic model, Bohr’s Atomic model and his 4 postulates  24 Minutes 
08  Bohr model and Derivations for Radius of orbit, Energy of Orbit, velocity of electron in an orbit, frequency of electron  31 Minutes 
09  q/m ratio in an orbit,Ground and Excited states, Ionisation Energy and ionisation potential, Excitation Energy and Excitation potential, Binding energy of electrons  28 Minutes 
10  Hydrogen emission spectrum, Lymen series, Balmer series, Paschen series, Pfund series, series limits  38 Minutes 
11  Recoil speed of atoms , problems on atomic structure ,Hydrogen absorption spectrum  28 Minutes 
12  Atomic collisions, problems on atomic collisions  27 Minutes 
13  Energy and radius of orbit when nucleus in motion.Xray introduction, Production of Xray, Types of Xrays, continuous X rays. accelerating voltage  41 Minutes 
14  Characteristics Xrays, cutoff wavelength, ,Kalpha/Kbeta/Lalpha/Lbeta characteristics Xrays and their wavelength/ frequency, Mosley’s law ,Graphs and problems on Xrays  35 Minutes 
Lecture#  Description  Duration 

01  introduction to nucleus , Atomic number, mass number, Isotopes, Isobars, Isotones, Radius of nucleus, density of nucleus, forces inside nucleus, strong nuclear force, stability of nucleus & N/Z ratio.  27 Minutes 
02  Mass defect, Binding Energy, calculation of Binding energy, examples, alphaparticles, Beta particles, positron, neutrino, antineutrino  34 Minutes 
03 
Alpha particle emission, kinetic energy of alpha particle and Gamaparticle, Beta particle Emission, positron emission, Kcapture 
35 Minutes 
04  Radioactivity, Law of disintegration, statistical law , decay constant, Activity of a sample ,Half life of a sample, Average life of a sample, Carbon Dating  37 Minutes 
05  disintegration with production, successive Disintegration, simultaneous disintegration  27 Minutes 
06  Binding energy per nucleon, stability of a nucleus depending on B/A, fission reaction, Fusion reaction,  24 Minutes 
07  Nuclear reactor, types of reactors, Moderator, coolant, control rods, Critical mass  25 Minutes 
Lecture#  Description  Duration 

01  Wave nature of light, Wave front, wave fronts for point source/line source/plane source. Hygiene’s principle for wave nature of light, Maxwell’s electromagnetic wave theory of light,  34 Minutes 
02  Interference of light waves, constructive and destructive interference of light, sustainable interference  31 Minutes 
03  Young’s double slit experiment (YDSE), path difference, positions of bright and dark fringes, Fringe width, Total no. of maximas and minimas formed on screen,  26 Minutes 
04  Problems on YDSE , YDSE with white light  23 Minutes 
05  optical path difference, shift in fringe pattern when slabs are placed in front of slits , YDSE with oblique incidence  31 Minutes 
06  YDSE with slabs and oblique incidence ,YDSE when apparatus Immersed inside liquid and slabs are also placed in front of slits, when slits are placed horizontally instead of vertical.Interference through thin films, Lloyd’s mirror, Fresnel’s Biprism  39 Minutes 
Lecture#  Description  Duration 

01  significant figures ,Least count , maximum uncertainity , rules to find significant figures  
02 
Significant figures in arithmetic operations like addition/substraction/multiplication/division , rules of rounding , Least count , maximum permissible error, problems 

03  Maximum permissible error in a dependent quantity. Fractional error, percentage error , other types of errors like errors due to external causes , instrumental errors , personal error/ chance errors. Errors in averaging in experiment, absolute errors. Example.  
04 
measurement by screw gauge , its Least count , measurement by vernier callipers , its Least count , zero error , examples. 
Lecture#  Description  Duration 

01  Energy band , valence band , conduction band , P type semi conductor and N type semi conductor , Holes , Doping  31 Minutes 
02  Motion of Holes , current in semiconductor , conductivity of semiconductor , mobility of holes and electrons  21 Minutes 
03  PN junction, biasing of PN junction, forward biased PN junction and Reversed biased PN junction, diffusion current and drift current, break down of PN junction diode, Zener and avalanche breakdown.  35 Minutes 
04  Uses of PN junction as Rectifier , half wave rectifier , full wave rectifier, transistor , PNP transistor and NPN transistor  36 Minutes 
05  Biasing of a transistor , basic transistor circuits , how transistor works? Uses of transistor as amplifier  37 Minutes 
06  Uses of transistor as switch and in LC oscillation circuit , digital electronics, number systems ,decimal and binary number system  37 Minutes 
07  Logic gates, Boolean expressions , OR gate , AND gate , NOT gate and truth table.  28 Minutes 
08  NOR gate , NAND gate and XOR gate  23 Minutes 
Lecture#  Description  Duration 

01  Ampere Maxwell law, displacement current, electromagnetic wave, its properties and equation of electromagnetic waves. Intensity of Electromagnetic waves. Different types of Electromagnetic waves , their wavelength , their production and Detection  27 Minutes 
02  some important problems on Displacement current and Electromagnetic waves  20 Minutes 
Lecture#  Description  Duration 

01  communication system , modes of communications ,Transducer and Transmitter , signal , Noise , Receiver , Attenuation , Amplification , Range , Band width , Modulation , Demodulation  27 Minutes 
02  Band widths of signal , analog signal and digital signal , Band widths of transmission medium , Line communication , Radio communication , Optical communication , Types of wave propagation , Ground wave propagation , sky wave propagation , space wave propagation. Height of Tower and maximum distance covered by transmission  39 Minutes 
03  modulation and its necessity ,minimum length of antenna , types of modulation.Amplitude modulation ,side band frequencies , modulation index , disadvantages of amplitude modulation  26 Minutes 
04  Frequency modulation ,frequency deviation , carrier swing , modulation index , frequency spectrum , deviation ratio.percent modulation, Pulse modulation ,pulse amplitude modulation (PAM) , pulse width modulation (PWM) , pulse position modulation (PPM),Demodulation , important problems  31 Minutes 
Lecture#  Description  Duration 

01  Human eye, near point, far point, least distance of distinct vision, Eye defects, Near sightedness (myopia) and its remedy, far sightedness (Hypermetropia) and its remedy. Problems  36 Minutes 
02  Magnifying power of optical instruments, simple microscope (magnifying glass), Magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity. Compound microscope (magnifying glass) ,magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity.  42 Minutes 
03 
Telescope, astronomical telescope , its magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity.  Terrestrial telescope , magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity. Galilean Telescope , magnification when image is formed at Least distance of distinct vision and magnification when image is formed at infinity 
37 Minutes 
Lecture#  Description  Duration 

01  Diffraction ,single slit Diffraction, some important points about diffraction, difference between Interference and diffraction  51 Minutes 
02  Resolution , Rayleigh criteria for resolution , Resolution by simple microscope , resolution by telescope  33 Minutes 
03  Polarization , polarizer , analyzer , plane of polarization , polarization by reflection , angle of polarization ,Brewster’s law  25 Minutes 
Lecture#  Description  Duration 

01  magnetic materials , paramagnetic ,ferromagnetic , Domain and Diamagnetic materials,intensity of magnetisation  27 Minutes 
02  magnetic intensity , magnetic susceptibility , curies law , permeability of medium , hysteresis loop , retentivity ,coercive force ,hysteresis loop of iron and steel  37 Minutes 
Lecture#  Description  Duration 

01  Definition of set, Methods to represent sets : (1) Roster form or tabular method (2) Set builder (Property method), Interconversion of Roster form into set builder form or viceversa; Types of sets: (1) Null Set (2) Singleton set (3) Finite set & Cardinal number of set (4) Equivalent sets. (5) Equal sets 
34 Minutes 
02  Subsets, Proper subset, Total number of subsets, Idea of intervals: (1) Close interval (2) Openinterval (3) Discrete interval or curly bracket, Operation on sets (By venndiagram) (1) Union of 2 sets (2) Intersection of 2 sets (3) Set A and its complement 
43 Minutes 
03  (4) Set A but not B (5) Set B but not A (6) Neither A nor B #Demorgan’s Law (7) Atleast one set out of three sets A, B, C (8) Atleast 2 sets out of 3 sets (9) Exact 2 sets out of 3 sets (10) Exact 1 set out of 3 sets (11) Neither A, B nor C. Laws of Algebra of sets 
44 Minutes 
04  Cartesian Product ordered pair, ordered triplets, Cartesian Product of 2 sets or 3 sets, Introduction of Relations 
52 Minutes 
05  Relations, Total number of relations, types of relations: (1) Void relation (2) Universal Relation (3) Identity Relation (4) Reflexive Relation (5) Symmetric Relation (6) Transitive Relation (7) Equivalence Relation 
1 Hrs 02 Minutes 
06  Definition of function, Its domain and codomain and range.  43 Minutes 
Lecture#  Description  Duration 

01  Definition of Function, Domain, Codomain, Range, Mapping diagram, Graphical definition of function, Rational (or Polynomial) Functions, Basic concepts, Rational inequalities, Steps to solve RationalInequalities. 
1 Hrs 14 Minutes 
02  Solving Rationalinequalities (Nonrepeated and repeated linear factors), How to take square and reciprocal in case of inequalities. 
1 Hrs 04 Minutes 
03  Modulus or Absolute value functions, Formulae of modulusfunctions, Removal of ModulusFunctions, Graphs of ModulusFunction, Modulus  Inequalities. 
1 Hrs 05 Minutes 
04  ModulusEquations and Inequalities.  55 Minutes 
05  Irrationalfunctions, their domain and Range, Irrational Equations and inequalities, Determining domain of irrational functions. 
1 hrs 03 Minutes 
06  IrrationalInequalities, Exponential & Logarithmic functions, their basic graphs, formulae.  1 hrs 05 Minutes 
07  Formulae of Log functions, Log and exponential equations.  50 Minutes 
08  Exponential and Loginequalities when base is positive fractional or greater than one.  41 Minutes 
09  (a) Loginequalities when base is variable (b) Loginequalities when base is variable. Determining domain of Logfunctions. 
(a) 33 Minutes (b) 48 Minutes 
10  Greatest integer function (GIF), Basic graph, Formulae, Fractional Part function (FPF), Basic Graph, Formulae, Signumfunction, Basic graph. Questions. 
1 Hrs 
11  (a,b) Questions on GIF, FPF and Signum functions. 
(a) 39 Minutes (b) 32 Minutes 
12  (a) Trigonometric equations, General Solutions, Fundamental and General period of Basic TRatios, Questions (b) Questions the determining General and Particular solutions of TEquations. 
(a) 1 Hr. 04 Minutes (b) 32 Minutes. 
13  (a) Questions, Tinequalities (b) Tinequalities, Domain of TFunctions. 
(a) 42 Minutes (b) 35 Minutes 
14  Inverse trigonometric functions, condition for defining inverse of a function, classification of functions. OneOne (Injective) or many one functions, onto (Surjective) or into functions, bijective functions, Basic Graphs of 6 inverse trigonometric  functions. Properties of ITF, Defining T (T^{–1}(x)) or T^{–1 }(T(x)) 
1 Hrs 15 Minutes 
15  Finding basic values of ITF, Domain of all types of functions.  1 hrs 06 Minutes 
16  Domain of functions, Range of Functions Method of determining Range of functions M1 Represent x or function of x in terms of y M2 Range by Using Monotonocity 
1 hrs 12 Minutes 
17  M3 Range of L / L, Q / L, L / Q, Q / Q M4 Range of composite functions 
1Hrs 15 Minutes 
18  Domain and Range of composite functions by defining them in oneinterval or in differentdifferent intervals. (Using graphical method) 
1 Hrs 10 Minutes 
19  Composite functions in different intervals. Types of functions: (1) oneone (injective function) Condition of injectivity by differentiation (2) Onto (surjective) functions. (3) Bijective functions. Inverse of a function 
1 Hrs 17 Minutes 
20  Number of 11 mappings, number of surjective (onto) mapping, questions on classification of functions.  1 hrs 04 Minutes 
21  Questions on classification of functions and determining inverse of a function.  58 Minutes 
22  Inequalities of Inverse trigonometric functions, graphs of y = T (T^{–1} (x)) = x (NonPeriodic Functions) Graphs of y = T^{–1} (T(x)) (Periodic Functions) 
1 Hrs 
23  Graphs of y = T^{–1} (T(x)), Questions, Interconversion between various ITF’s. 
1 hrs 06 Minutes 
24  Equal or Identical functions; Simplification of Miscellaneous ITF’s, Graphs.  1 hrs 11 Minutes 
25  (a) Simplification of Miscellaneous ITF’s, Inversetrigonometric functions of tan^{–1}x ± tan^{–1}y, sin^{–1}x ± sin^{–1}y or cos^{–1}x ± cos^{–1}y, Questions (b) Solving Inverse trigonometric equations. 
(a) 51 Minutes (b) 40 Minutes 
26  Summation series of inversetrigonometric functions, even or odd functions.  1 hrs 01 Minutes 
27  Even or odd functions, periodic functions, fundamental or general periods of basic functions, properties related to periodicity of functions. 
1 Hrs 05 Minutes 
28  Determining the fundamental period of functions, Range by period of function, functional equations to determining period. 
1 hrs 02 Minutes 
29 
(a) FunctionalEquations. Graphs: 
(a) 47 Minutes (b) 54 Minutes 
30  Curve tracing using differential calculus. Graph of maximum/minimum of functions between two or more than 2 functions. 
1 Hrs 12 Minutes 
31  MaximumMinimum of a Curve, Miscellaneous graphs  54 Minutes 
Lecture#  Description  Duration 
01  (a) Concept of Limit, Left Hand Side Limit (LHL) and Right Hand Side Limit (RHL) , Algebra on limits (b) 7 Indeterminant forms, Steps to determining limit of a function when x→a, where to evaluate LHL & RHL separately (Doubtful points) 
(a) 52 Minutes (b) 36 Minutes 
02  (a) Identify type of indeterminant forms, Method of solving Limits (i) Factorisation (ii) Rationalization (b) Questions on factorisation and Rationalisation 
(a50 Min., b25 Min.) 
03  (a) M3 Evaluate of limit when x →∞ or x→ –∞ (b) Questions based on method no.3 
(a34 Min., b33 Min.) 
04  (a) M4 Series expansion by Maclaurin’s Series, Series Expansion of Basic functions, (b) Determining unknown parameters by series expansion. M5 Standard  Limits 
(a37 Min., b27 Min.) 
05  (a) Formulae of standardlimits, Questions based on standard limits. (b) Standard limits using substitution method. M6 Limit in form of 1^{∞} 
(a47 Min., b28 Min.) 
06  (a) Questions on 1^{∞} form. L’Hospital’s rule (LHRule). (b) Questions based on LHRule 
(a36 Min., b22 Min.) 
07  (a) 0° or ∞° forms. (b) Miscellaneous questions of limit 
(a41 Min., b36 Min.) 
08  Sandwitch Theorem ( or Squeeze  Play Theorem) Continuity of a function y = f(x) at point x = a Types of discontinuity: (1) First kind of discontinuity (removable discontinuity) (In this case limit exist) (A) Missing point discontinuity. (B) Isolated point discontinuity. (2) NonRemovable Discontinuity (Limit does not exist) (A) Finite Nonremovable discontinuity, Jump of discontinuity =  RHL – LHL  (B) Infinite Nonremovable discontinuity. (C) Oscillating discontinuity. Jump of discontinuity =  RHL – LHL  
55 Minutes 
09  (a, b) Continuity at a point, Continuity in an interval, determining unknown parameters using concept of continuity at a point. 
(a32 Min., b18 Min.) 
10  (a, b) Differentiability of a function at a point, Equation of tangent at a point, Questions to check continuity and differentiability at a point 
(a45 Min., b20 Min.) 
11  (a) Determining unknown parameters using concepts of continuity and differentiability at a point. Continuity and differentiability of higher order derivatives. (b) Questions based on LH rule and differentiation. 
(a38 Min., b30 Min.) 
12  (a, b) Differentiability in an interval, questions based to check continuity and differentiability in an interval.  (a29 Min., b27 Min.) 
13  (a) Graphical method to check differentiability, Differentiability of maximumminimum of two or more than 2 functions. (b) Graphical method to check differentiability 
(a32 Min., b30 Min.) 
14  (a) Determination of a function using differentiation (b) Miscellaneous questions based on LCD. 
(a25 Min., b24 Min.) 
15  (a, b) Miscellaneous questions based on LCD.  (a33 Min., b34 Min.) 
Lecture#  Description  Duration 
01  (a) Some basic differentiation by using first principle (ABInitio method), Rules of differentiation (b) Formulae of differentiation, Properties of differentiation , Differentiation of Product of two functions, Chain Rule, Differentiation of u/v, Differentiation of composite functions, Differentiation of Parametric functions, Differentiation of one function w.r.t. other functions. 
(a30 Min., b41.22 Min.) 
02  Questions of Differentiation of functions.  55 Minutes 
03  (a, b) Differentiation of Logfunctions.  (a29 Min., b23 Min.) 
04  (a) Derivative of inverse  functions. (b) Derivative of inverse  functions by substitution method. 
(a16 Min., b38 Min.) 
05  (a) Derivative of Inverse  Functions by substitution method (b) Derivative of Inverse  Functions and derivative of higher order Inverse functions. (c) Questions based on differentiation of ITFs, Parametric differentiation 
(a25 Min., b33 Min., c25 Min.) 
06  (a,b) Parametric Differentiation, Differentiation of Implicit functions.  (a37 Min., b21 Min.) 
07  (a) Derivative of functions represented by infinite series, Differentiation of determinants. (b) Higher order derivatives. 
(a28 Min., b25 Min.) 
08  (a,b) Higher order derivatives.  (a24 Min., b25 Min.) 
Lecture#  Description  Duration 
01  (a) Brief Revision of Straight Line and TangentNormal: Equation of tangent and Normal to the curve y = f (x) at a point, Length of tangent, Length of subtangent, Length of normal, Length of subnormal, Tangent to the curve at (0, 0) (b) Questions based on concept of tangent and normal when point lies on the curve. 
(a27 Min., b42 Min.) 
02  (a) Questions based on tangent and normal when curve given in parametric form. (b) Tangent and normal from an external point. 
(a26 Min., b34 Min.) 
03  (a) Questions based on tangents and normals from an external point. (b) Tangent on the curve  intersecting the curve again. 
(a35 Min., b23 Min.) 
04  (a) Commontangents. (b) Angle of intersection of two curves; shortest distance between 2 nonintersecting curves. 
(a36 Min., b39 Min.) 
05  (a) Rate of change (b) Approximate value of a number, Monotonocity of a function, strictly increasing (SI), Strictly decreasing (SD), Monotonically increasing (MI), Monotonically decreasing (MD) functions, Monotonocity at a point and in an interval, Condition for monotonocity for differentiable functions, Monotonocity of discontinuous functions. 
(a26 Min., b46 Min.) 
06  (a, b) Questions on monotonicity of function at a point or in an interval.  (a35 Min., b39 Min.) 
07  (a) Questions of Monotonocity. (b) Proving inequalities by using monotonocity. 
(a35 Min., b32 Min.) 
08  (a) Concavity, Convexity and point of inflexion (POI) of curve. (b) Curve tracing by using concept of differential calculus. 
(a30 Min., b29 Min.) 
09  (a, b) Rolle’s theorem, Langrange’s Mean Value theorem (LMVT)  (a30 Min., b35 Min.) 
10  (a, b, c) Maxima and minima at a point, local maxima and local minima and absolute maxima and absolute minima. Range of a function in an interval. Using concept of maxima and minima. 
(a28 Min., b20 Min., c29 Min.) 
11  (a, b) Questions.  (a28 Min., b28 Min.) 
12  (a) Questions of Maxima and Minima based on location of roots. Theory of equations using maxima and minima. (b) Questions. (c) Optimization of Geometrical problems by maxima and minima. 
(a33 Min., b40 Min., c55 Min.) 
13  (a, b) Geometry Problems.  (a43 Min., b41 Min.) 
14  Geometry Problems.  33 Minutes 
Lecture#  Description  Duration 
01  (a) Concept of integration, Standard formulae (b) Defining all standard formulae. 
(a34 Min., b23 Min.) 
02  (a, b) Basic integration directly formulae based.  (a39 Min., b39 Min.) 
03  (a) Substitution method; Formulae of some standard substitution. (b) Questions based on substitution method. 
(a27 Min., b33 Min.) 
04  (a) Integral in the form of : ∫sin^{m} x cos^{n} x dx ; ∫ tan^{m} x sec^{n} x dx (b) Integral in the form of : ∫ x^{m}(a + bx^{n} )dx , Questions on substitution method. 
(a40 Min., b31 Min.) 
05  (a) Questions on substitution method in irrational functions. (b) Questions on substitution method. 
(a34 Min., b38 Min.) 
06  (a) Integration by parts. (b) Integration by parts, Using (A) ∫e^{x} (f(x) + f '(x))dx = f(x)e^{x} + C OR (B) ∫(f(x) + xf '(x))dx = xf(x) + C 
(a35 Min., b36 Min.) 
07  (a) Questions based on integration by parts. (b) Questions based on integration by parts, Integration of Rational function  by partial fraction method (i) When nonrepeated linear factors in denominator (ii) Repeated linear factors in denominator (iii) Quadratic factors in denominator (D<0) 
(a29 Min., b38 Min.) 
08 
(a) Questions on partial fraction method Integration in the form of : ∫ (px+q)dx ÷ ax^{2}+bx+c (b) Integration in the form of : ∫ (x^{2} ± a^{2})dx ÷ x^{4}+kx^{2}+a^{4} or ∫ dx ÷ x^{4}+kx^{2}+a^{4} Integration in the form of : (a) ∫ dx ÷ x(x^{n} + 1) (b) ∫ dx ÷ x^{n} (1+x^{n})^{1/n} (c) ∫ dx ÷ x^{2}(x^{n}+1)^{n1/n} 
(a44 Min., b32 Min.) 
09 
(a) Integration of Irrational Functions Integration in the form of : ∫ (px+q)dx ÷ √ax^{2}+bx+c OR ∫(px+q) √ax^{2}+bx+c dx (b) Integration in the form of : (A) ∫ dx ÷ (px+q)√ax+b (B) ∫ dx ÷ (px^{2}+qx+r)√ax+b (C) ∫ dx ÷ (px+q)√ax^{2}+bx+c (D) ∫ dx ÷ (px^{2}+qx+r)√ax^{2}+bx+c (c) Questions based on Integration of Irrational functions. 
(a35 Min., b25 Min.) 
10 
(a) Integration in the form of : ∫ dx ÷ a + bsin x OR ∫ dx ÷ a + bcos x ∫ dx ÷ asinx ± bcos x OR ∫ dx ÷ a sinx ± b cos x + c OR ∫ (p sin x + qcos x + r) ÷ (a cos x + b sin x + c) * dx Integration in the form of : ∫ (a sin x + b) dx ÷ (a+b sin x)^{2} OR ∫ (a cos x+b) dx ÷ (a+b cos x)^{2} Integration in the form of ∫(sinx + cos x)f(sin2x)dx (b) Integration in the form of : ∫ f(e^{ax} )dx OR ∫ (ae^{x} + be^{x} ) ÷ (pe^{x} + qe^{x} )*dx , Reduction Formulae. 
(a42 Min., b38 Min.) 
11  (a, b) Miscellaneous Questions  (a25 Min., b38 Min.) 
12  (a, b) Miscellaneous Questions  (a33 Min., b29 Min.) 
Lecture#  Description  Duration 
01 
(a, b) Introduction of definite integral (DI), Geometrical interpretation of definite integral,
b b 
(a49 Min., b35 Min.) 
02 
(a, b) Questions based on P1, P2 and Concepts of indefinite integration. 
(a38 Min., b33 Min.) 
03 
b c b 
(a33 Min., b38 Min.) 
04 
b b a a Questions based on P4. 
(a44 Min., b40 Min.) 
05 
(a, b) Questions based on P4, Questions based on P5, P6. 
(a41 Min., b33 Min.) 
06 
(a, b) Property No. 7 (Based on periodicity of function) :
nT T 
(a37 Min., b52 Min.) 
07  (a) Questions based on Leibnitz theorem. (b) Definite Integrals as the limit of a sum (ABinitio method). 
(a27 Min., b47 Min.) 
08  Questions based on integral as Limit of a sum.  (a35 Min.) 
Lecture#  Description  Duration 
01  (a,b) Quadrature, How to evaluate area under the curve with xaxis or with yaxis, area bounded by the two intersecting curves, area bounded by the curves in different2 conditions. 
(a37 Min., b17 Min.) 
02  (a, b, c) Questions based on area under the curves.  (a28 Min., b24 Min., c29 Min.) 
03  (a, b) Questions, Questions based on determining parameters.  (a36 Min., b29 Min.) 
04  (a, b) Questions based on determining the parameters, area under the curves using inequalities.  (a36 Min., b39 Min.) 
05  (a, b) Area under the curves using functional inequalities, area bounded with f(x) and its inverse f^{–1} (x). Miscellaneous Questions. 
(a30 Min., b30 Min.) 
Lecture#  Description  Duration 
01  (a, b, c) Introduction of DE, Ordinary Differential Equation (ODE) and Partial Differential Equations (PDE), Order and degree of DE, about constants, arbitrary constants and essential arbitrary constants, Formation of differential equations, Methods of solving differential equations. General solutions and particular solutions of differential equations. Method no.1 : Variable separable form, in the form of dy÷dx= f(x).g(y). 
(a47 Min., b18 Min., c22 Min.) 
02  (a, b) Method no. 2: (a) Reduces to variable separable form, i.e. in the form of dy÷dx = f(ax+by+c). (b) Substitution method: in x^{2} + y^{2} = r^{2} , put x = r cos θ, y = r sin θ, and in x^{2} – y^{2} = r^{2} , put x = r sec θ, y = r tan θ, Method no. 3: Solution of Homogeneous differential equations, in the form of dy÷dx = f(y÷x) or dx÷dy=f(x÷y), Questions 
(a27 Min., b34 Min.) 
03  (a, b, c) Questions on method no. 3, Method No. 4 : Reduces to Homogeneous Differential equation, i.e. in the form of dy÷dx=ax+by+c÷Ax+By+k , Questions Method no. 5 : Exact (direct) differential equations. Questions based on method no. 5. 
(a25 Min., b34 Min., c23 Min.) 
04  (a, b) Method no. 6 : Linear differential equation, i.e. in the form of dy÷dx+Py=Q OR dx÷dy+Px=Q Method No.7 : Reduces to linear differential equations (Bernoulli’s equations)  (a40 Min., b33 Min.) 
05  (a, b, c) Geometrical applications of differential equations, Tangent and normal to the curve y = f(x) at point (x, y), length of tangent, Length of subtangent, Length of Normal, Length of subnormal, Radiusvector, Higher Degree & order of differential equations, orthogonal trajectory (OT) of curves, Clairaut’s differential equations. 
(a29 Min., b35 Min., c32 Min.) 
Lecture#  Description  Duration 
01 
Definition of Matrix A = [a_{i j} ]_{m x n} # Algebra of matrices 
1:19 Hrs. 
02  Questions based on types of matrices and Algebra of Matrices. Questions based on Matrix  multiplication, transpose of matrix, properties of transpose. 
(a32 Min., b42 Min.) 
03 
Questions based on Transpose and multiplication, some special types of square matrices : #Submatrix 
1 Hr. 15 Min. 
04  Questions (1), (2) and (3) Solutions of questions No. (1), (2) and (3) Question based on square matrices. 
54 Min. 
05  Introduction of determinants, Expansion of 2x2 and 3x3 order determinants, Properties of determinants. 
1 Hr. 35 Min. 
06  (a) Questions on determinants (b) Questions on determinants, product of 2 determinants, questions based on product of determinants. 
(a58 Min., b45 Min.) 
07  Questions on product of 2 determinants, Differentiation and integration of determinants, Summation of determinants, System of NonHomogenous Linear equations in 3 variables, Cramer’s rule. 
1 Hr. 2 Min. 
08  System of linear equations in 2variables, Consistency and Inconsistency of linear equations, Homogenous system of linear equations, Trivial and Nontrivial solutions of Homogenous linear equations, Questions. 
1 Hr. 1 Min. 
09  (a) Adjoint of square matrix, inverse of a square matrix, Properties of adjoint and Inverse of matrix, Cancellation Law. System of Linear equations by matrix method, questions. (b) Questions, Elementary transformations along row (column), Introduction of Rank of a matrix. (c) Determination of Rank of a matrix. 
(a55 Min., b39 Min., c20 Min.) 
10  (a) Consistency and Nonconsistency of system of Linear equations by Rank method, Solution of 3 equations in two variables. (b) Matrices polynomial, characteristic matrix, CaleyHamilton theorem. Inverse of a nonsingular matrix by elementary transformation (along Row / Column) (Board Topic) 
(a52 Min., b37 Min.) 
Lecture#  Description  Duration 
01  Introduction of vector, types of vectors: (1) Null vectors (2) Unit Vector Law’s of addition/subtraction in a parallelogram. (3) Position vector (PV) (4) Equal vectors (5) Parallel or collinear vectors 
1 Hr. 13 Min. 
02  (a) (6) Coplanar vectors (7) Reciprocal vectors Geometry on vectors (1) Distance formula (2) Section formula (Internal section division and External section Division) (3) Centroid (4) Incentre. #Questions Dot product (scalarproduct) of two vectors. Geometrical interpretation, projection of vector. Component of vector. (b) Projection and component of vector along and perpendicular to other vector, Properties of dot product, Questions. 
(a55 Min., b39 Min.) 
03  Cross product (Vector  product) of two vectors, Geometrical  interpretation, properties of crossproduct, Questions. 
(1 Hr. 2 Min.) 
04  Direction cosines (DC’s) and direction Ratios (DR’s) of a line segment, questions.  (1 Hr. 20 Min.) 
05  Vector equation of a line (parametric & non parametric form), Symmetrical form of a line (3D Form) Point of intersection of 2 lines, Questions. 
50 Minutes 
06  Questions based on line.  38 Minutes 
07  Questions, Plane, Vector equation of a plane passing through a point and whose direction alongn n , General equation of plane, equation of a plane passing through 3 points, Intercept form of plane, Condition of coplanarity of 4 points, angle between 2 planes, Equation of plane parallel to given plane, Distance between two parallel planes, Perpendicular distance, Foot of perpendicular, Image of a point w.r.t. plane. Angle bisectors of two planes. 
57 Minutes 
08  Condition of acute or obtuse angle bisectors, position of points w.r.t. plane or angle bisector containing a points; Angle between two planes, condition of line perpendicular to plane and condition of a line parallel to plane. Questions based on line and plane. 
(1 Hr. 3 Min.) 
09  Questions based on line & plane.  57 Minutes 
10  Family of planes passing through line of intersection of 2 planes, symmetrical form of line, unsymmetrical form of line, reduction of unsymmetrical form of line into symmetrical form. Questions, Condition of coplanarity of two lines. Equation of plane containing 2 lines. Questions 
56 Minutes 
11  Questions, skewlines, shortest distance (SD) between 2 skewlines, condition for lines to be intersecting, distance between two parallel lines. 
49 Minutes 
12  Angle bisectors of two lines, Acute or obtuse angle bisectors. Questions  46 Minutes 
13  Scalar triple product (STP) of 3 vectors. Geometrical interpretation. Volume of parallelopiped. Properties of STP. Vectortriple product of three vectors (VTP). Geometrical  Interpretation. 
(1 Hr. 11 Min.) 
14  Questions on STP and VTP, Tetrahedron, its centroid, volume of tetrahedron, angle between any 2 faces of regular tetrahedron. 
(1 Hr. 5 Min.) 
15  (a,b) Circumradius and inradius of regular tetrahedron. Questions, Reciprocalsystem of vectors, Linearly Independent and Linearly dependent vectors (LILD), Sphere, Types of sphere, Section of Sphere intersected by a plane, Questions of sphere. 
(a47 Min., b60 Min.) 
Lecture#  Description  Duration 
01  Some definitions : (1) Experiment (2) Sample  space (3) Event (E) Types of Events: (a) Happening or occurance of an event (b) Compliment (Nonoccurance) of event, Definition of Probability : p(A) = Favourable elements of event A / Total elements (c) Simple events (d) Compound or mixed events (e) Exclusive: Events (f) Exhaustive events (g) Equally likely events (h) Independent events or dependent events Questions based on permutation and combination. 
(a 47 Min., b28 Min., c26 Min., d41 Min.) 
02  Algebra of events: (1) Event A (2) Complement of event A (3) Events A & B both (4) Atleast event A or B (5) Event A but not event B (6) Event B but not event A (7) Exactly one event out of 2 events (8) None of events A or B (9) Event A or B but not both (10) Atleast one of the events A, B, C (11) Exactly one event out of 3 events (12) Exactly 2 events out of 3 events (13) None of events out of 3 events. (14) Occurance of events A & B but not C. Questions based on Algebra of events, Conditional probability, Multiplication theorems for dependent or Independent events, Complement Law, Questions on Conditional Probability. 
(a34 Min., b35 Min., c25 Min., d24 Min.) 
03  Questions based on Conditional probability, Questions based on dependent or independent events, Law’s of total probability. 
(a26 Min., b29 Min., c31 Min., d39 Min.) 
04  Baye’s theorem (Reverse theorem).  (a27 Min., b40 Min., c24 Min., d4 Min.) 
05  Discrete  Random variable, Probability  Distribution, Mean & Variance of discrete  random variable X, Variance, Standard derivation, #Binomial  Distribution, Mean and Variance of Binomial Distribution, Questions based on them. 
(a35 Min., b 32 Min., c26 Min.) 
Lecture#  Description  Duration 
1  Definition of set, Methods to represent sets : (1) Roster form or tabular method (2) Set builder (Property method), Interconversion of Roster form into set builder form or viceversa; Types of sets: (1) Null Set (2) Singleton set (3) Finite set & Cardinal number of set (4) Equivalent sets. (5) Equal sets 
34 Minutes 
02  Subsets, Proper subset, Total number of subsets, Idea of intervals: (1) Close interval (2) Openinterval (3) Discrete interval or curly bracket, Operation on sets (By venndiagram) (1) Union of 2 sets (2) Intersection of 2 sets (3) Set A and its complement 
43 Minutes 
03  (4) Set A but not B (5) Set B but not A (6) Neither A nor B #Demorgan’s Law (7) Atleast one set out of three sets A, B, C (8) Atleast 2 sets out of 3 sets (9) Exact 2 sets out of 3 sets (10) Exact 1 set out of 3 sets (11) Neither A, B nor C. Laws of Algebra of sets 
44 Minutes 
04  Cartesian Product ordered pair, ordered triplets, Cartesian Product of 2 sets or 3 sets, Introduction of Relations 
52 Minutes 
05  Relations, Total number of relations, types of relations: (1) Void relation (2) Universal Relation (3) Identity Relation (4) Reflexive Relation (5) Symmetric Relation (6) Transitive Relation (7) Equivalence Relation 
1 Hrs 02 Minutes 
06  Definition of function, Its domain and codomain and range.  43 Minutes 
Lecture#  Description  Duration 
01  Number systems: (1) Natural numbers (2) Whole numbers (W) (3) Integers (I or Z) (4) Prime Numbers (5) Composite numbers (6) Coprime numbers (Relatively prime numbers) (7) Twinprime numbers (8) Rational numbers : (a) Terminating rational numbers (b) Repeating rational numbers (9) Irrational numbers (Q’ or Qc) (10) Real numbers (R) (11) Complex numbers (C or Z) Algebra of complex numbers, converting into a + ib (i = √1) form, square root of a complex number. 
1 Hrs 24 Minutes 
02  Basics of Mathematics  About the concept helpful to solve inequalities, Domain of a function, About the functions  (1) Rational functions (2) Irrational functions (3) Polynomial functions 
58 Minutes 
03  Some important identities, Factor or remainder theorems, Cramer’s method to solve linear equations in two variables, Ratios and Proportion, Squaring in case of inequalities. 
53 Minutes 
04  When we cross multiply the denominator incase of inequalities? Rational (Polynomial) Inequalities  Steps to solving inequalities (For Nonrepeated and repeated linear factors), Questions 
54 Minutes 
05  Questions of Rational inequalities containing repeated linear factors, Modulus functions (Absolute  Value functions) , Domain, Range and Graphs of basic modulus functions, Removal of modulus functions, Properties of Modulus functions, Equations based on x = a (a≥0) 
55 Minutes 
06  Defining modulus functions, Removal of modulus, Basic Graphs and Graphs of combination of Modulus functions, Modulus equations. 
a14 Min., b51 Min. 
07  Modulus inequalities.  1 Hrs 
08  Questions of Modulus  inequalities.  56 Minutes 
09  (a) Irrational function  domain, Range and Graph of y = √x , Irrational equations. (b) Irrational Inequalities. 
1 Hrs 02 Minutes 
10  Exponential and Logarithmic functions, domainrange and graph of basic exponential & log functions, Properties formulae, Simplification of log functions. 
53 Minutes 
11  Basic questions to simplify the Log functions, Logequations.  a35 Min., b19 Min. 
12  Logarithmic and Exponential equations.  46 Minutes 
13  Exponential and Log inequalities.  41 Minutes 
14  Loginequalities when base is variable, Domain of functions including irrational or log functions.  a33 Min., b48 Min. 
15  Greatest integer function (GIF), DomainRange and basic graph of GIF, Properties, Fractionalpart function (FPF), DomainRange and Basic Graph, Properties, Signum function, DomainRange and Graph. 
1 Hrs 01 Minutes 
16  Questions based on GIF, FPF and Signum function.  a39 Min., b32 Min. 
Lecture#  Description  Duration 
01  Polynomial functions, Roots (zeros), Solutions, Equation vs Identity, Questions, Methods of finding roots (i) Factorisation 
1 hrs 08 Minutes 
02  Methods of finding roots (ii) Transformation method. (iii) Dharacharya Method (Perfect square), Questions. 
1 hrs 07 Minutes 
03  Questions based on finding roots.  1 Hrs 02 Minutes 
04 
Nature of roots : in ax^{2} + bx + c = 0 (a≠0) D_{1} = b_{1}^{2} –4a_{1}c_{1} and D_{2} = b^{2} –4a_{2}c_{2}) 
1 Hrs 03 Minutes 
05  Plotting of quadratic expression (Graph) when a > 0 or a < 0 in y = ax^{2} + bx + c (a≠0), Range of y = ax^{2} + bx + c when x ∈ R Sign of a, b, c, D, Range in an interval x ∈[x_{1}, x_{2}], Questions. 
1 Hrs 11 Minutes 
06 
Sign of quadratic expression, Range of Q/ Q 
1 hrs 10 Minutes 
07  Range by substitution, condition of common roots (1) when 1 root common (2) when both the roots are common Location of roots (1) When both the roots are greater than k (k∈R) (2) When both the roots are less than k (3) When 1 root < k and other root > k (4) When both the roots lies in interval (k_{1}, k_{2}) (5) When only 1 root lies in (k_{1}, k_{2}) 
1 Hrs 27 Minutes 
08  Questions based on location of Roots, PseudoQuadratic equation, Questions based on it. 
1 Hrs 26 Minutes 
Lecture#  Description  Duration 
01  Arithmetic progression (AP), Standard terms, General term or last term (t_{n} or 𝓁) of AP, Condition for 3 terms in AP, Arithmetic mean (AM) of n numbers, Middle terms, Sum of First n terms (sn) of AP, Properties of AP, n Arithmetic means inserted between 2 numbers, sum of n Arithmetic mean inserted between two numbers, Properties of AP. 
45 Minutes 
02  Questions based on Arithmetic progression and their properties.  1 Hrs 07 Minutes 
03  Summation series based on AP, Geometric progression (GP), Standard terms, General term of GP, Sum of first n terms of GP, Sum of ∞ terms of GP, supposition of terms in GP, n Geometric means between 2 positive numbers, Properties of GP. 
1 Hrs 09 Minutes 
04  Questions based on GP and their properties.  41 Minutes 
05  Summation Series based on G.P., Harmonic Progression (HP), General term of Harmonic Progression, Harmonic Means of n numbers, Questions based on Harmonic Progression. 
59 Minutes 
06  Relation between AM, GM, HM, Solving inequalities based on AM ≥ GM ≥ HM. Arithmetic Geometric Progression (AGP), General Term, Sum of first n terms of AGP, Sum of ∞ numbers of terms in AGP, Summation series of AGP. 
a 43 Min., b42 Min. 
07 
(a) Summation of series based on product of terms in GP but with nonAP; Summation of series, i.e. n n n n nS_{n} = ∑t_{r}, (V_{n}  V_{n1} )method, Evaluating the value of ∑1, ∑r, ∑r^{2}, ∑r^{3}, r=1 r=1 r=1 r=1 r=1 (b) Method of differences 
a37 Min., b35 Min. 
08  Miscellaneous Series  1 Hrs 
09  Miscellaneous Series  34 Minutes 
Lecture#  Description  Duration 
01  Basic Trigonometric Ratios (TRatios), and Identities, Questions based on Basic Trigonometry identities, elimination of angle θ. 
57 Minutes 
02  Trigonometry Ratios of allied angles, General solutions on coordinate axes, values of Trigonometry Ratios in [0, 90°],Questions based on allied angles, Graph of Trigonometry ratios, their domainrange and fundamental period. 
1 Hrs 17 Minutes 
03  Compound angles of trigonometry ratios, transformation formulae, values of trigonometry ratios at 15°(π÷12),75°(5π÷12), Questions  a35 Min., b42 Min. 
04 
Multiple and submultiple angles, θ = 52*1^{0}÷2, θ = 142*1^{0}÷2, value of sin 18^{0} (18^{0} = π÷10), cos36^{0}(36^{0} = π÷5), Questions. 
a53 Min., b38 Min. 
05  Questions based on multiple and submultiple angles.  60 Minutes 
06  Questions. Conversion of sin5A in terms of sinA and Conversion of cos5A in terms of cosA. 
a32 Min., b32 Min. 
07  Conditional identities and Range of Trigonometric functions.  a25 Min., b34 Min. 
08  Range by using concept of differentiation .  a40 Min., b19 Min. 
09 
Trigonometric series sin^{2} θ = sin^{2} α 
a29 Min., b38 Min. 
10  Basic Trigonometric equations directly formula based.  a24 Min., b27 Min. 
11  Trigonometric equations based on trigonometric identities, Questions based on Boundary values, solving simultaneous trigonometric equations. 
a33 Min., b25 Min. 
12  Advanced Level Trigonometric equations.  a34 Min., b38 Min. 
13  Advanced Level Trigonometric equations, TrigonometricInequalities.  a25 Min., b41 Min. 
14  Domain of trigonometric functions.  40 Minutes 
Lecture#  Description  Duration 
01  About the triangle, (1) Sine rule (2) Area of ΔABC. (3) Napier’s analogy (Law’s of tangent) (4) Cosineformula (5) Projection formula (6) TRatios of half angles, Questions 
43 Minutes 
02  Questions  a53 Min. 
03  Questions, mn rule, circles connected to a triangle (1) Circumcircle (2) Incircle (3) Excircles (4) Centroid (5) orthocentre (6) Circumcentre. 
a31 Min., b40 Min., c34 Min. 
04  (1) Length of angle Bisectors. (2) Length of Medians. (3) Length of altitudes, Distances of special points from vertices (A, B, C) and sides (AB, AC, BC) (1) Circumcentre (O), (2) Incentre (I) (3) Centroid (G) (4) Excentres (I_{1}, I_{2}, I_{3}) Questions. 
49 Minutes 
05  Questions  a32 Min., b22 Min. 
06  Questions, Pedaltriangle (ΔLMN), its all parameters.  a44 Min., b34 Min. 
07  Excentraltriangle (ΔI_{1} I_{2} I_{3}), its all parameters, Distance between two special points (1) Distance between circumcentre (o) & orthocentre (H), (2) Distance between circumcentre (0) and Incentre (I) (3) Distance between circumcentre and excentres (I_{1}, I_{2}, I_{3}) (4) Distance between orthocentre (H) and Incentre (I) (5) Distance between centroid (G) and circumcentre (o) 
a35 Min., b Min. 
Lecture#  Description  Duration 
01  About factorial n (n!,⌊n ), DomainRange and Properties of factorial n. About ^{n}C_{r}, ^{n}P_{r}, formulae based on n! , ^{n}C_{r} and ^{n}P_{r}, Binomial expansion (for n ∈ N), PascalTriangle, General term, m^{th} term from ending, middle term (for n odd, n even), Questions based on Binomial expansion and determining terms in Binomial expansion. 
a50 Min., b20 Min. 
02  Questions based to determine middle term in Binomial expansion, Questions based to determine coefficient of x^{r} in Binomial expansion, Questions based to determine the term independent of x. 
a36 Min., b31 Min. 
03  Questions based on determining coefficient in product of 2 Binomial expansions, Multinomial theorem.  a25 Min., b39 Min. 
04  Coefficient determining by concept of permutation and combination and by using multinomial theorem; total number of terms in multinomial expansion; Number of terms free from fractional or irrational powers in Binomial expansion. 
a34 Min., b28 Min. 
05  NumericallyGreatest term in the expansion of (x + a)^{n} (n ∈ N), Algebraically  Greatest and least term in the expansion of (x + a)^{n} (n ∈ N); Questions based on Ι + ƒ . 
a31 Min., b35 Min. 
06  Questions based on Ι + ƒ , exponent of prime number (p) in ⌊n ; Questions based on divisibility and remainder, Last digit by cyclicity, Last digit, Last two digits, Last 3 digits in a number. 
a29 Min., b43 Min. 
07  Summation of series.  a42 Min., b33 Min. 
08  Questions based on Sigma, Summation of Binomial Coefficients taken two at a time, Summation when upper index is variable. 
a47 Min., b35 Min. 
09  Questions based on summation of Binomial coefficients taken two at a time when upper index is variable.  32 Minutes 
10  DoubleSigma, Binomial expansion for negative or fractional power, Someimportant expansions, Questions based on determining Coefficient in negative or fractional power in Binomial expansion. 
a43 Min., b34 Min. 
Lecture#  Description  Duration 
01  Point, Rectangular  Cartesian Coordinate system, Parametric and Polar Coordinates of a point, distance between 2 points, section formula, Harmonic conjugate, Questions, About the Quadrilateral, Area of triangle, Condition of collinearity of three points, Concurrent lines, condition of concurrency of three lines. 
a44 Min., b38 Min. 
02  Area of quadrilateral, Area of n sided polygon.  29 Minutes 
03  Special points of triangle : (1) Centroid (G) (2) Incentre (I) (3) Excentres (I_{1}, I_{2}, I_{3}) (4) Orthocentre (H) (5) Circumcentre(o) Types of straight lines (1) General equation (2) Slope  intercept form (3) (a) Equation of a line parallel to xaxis. (b) Equation of line perpendicular to xaxis. (c) Equation of line coincident to xaxis. (d) Equation of line coincident to yaxis. (e) Equation of coordinates axes. (4) Slope point form (5) Two points form (6) Determinant form (7) Intercept form (8) Normal or Perpendicular form. Angle between two lines, condition of two lines to be parallel or perpendicular. 
a43 Min., b46 Min. 
04  Condition of lines to be intersecting, Parallel, Coincident, Measurement of interior angle of Δ, Questions based on point, special points and types of lines. 
a41 Min., b49 Min. 
05  Questions based on special points and types of lines.  a45 Min., b37 Min. 
06  Equations of lines passing through P(x_{1}, y_{1}) and making an angle α with the line y = mx + C, slope of a line equally inclined to the two given lines, Questions. Parametric or distance form of a line. 
a35 Min., b49 Min. 
07  Perpendicular distance, foot of perpendicular, foot of perpendicular, image of a point (x_{1}, y_{1}) w.r.t. line ax + by + c = 0, distance between two parallel lines, Area of parallelogram, About the parallelogram, positions of two points w.r.t. line/plotting of linearinequations, condition that a point lies inside of a triangle. 
a48 Min., b37 Min. 
08  Questions based on perpendicular distance, foot of perpendicular and image.  a45 Min., b34 Min. 
09  Locus, Steps how to evaluate locus of a point, questions, angle bisectors, types of angles bisectors, how to identify type of angle bisector, angle bisectors containing a point P(x_{1}, y_{1}). 
a43 Min., b51 Min. 
10  Questions based on anglebisectors, family of lines (concurrent lines), Questions based on family of lines.  a47 Min., b24 Min. 
11  Pair of lines (combined or joint equations), Nonhomogenous equation of second degree, homogeneous equation of second degree, angle between pair of lines, separate equations from second degree, condition that second degree nonhomogenous equations represents pair of lines, point of intersection of pair of lines, combined equations of angles bisectors of pair of lines. 
a39 Min., b34 Min. 
12  Questions, distance between two parallel pairs of lines, Homogenisation.  a39 Min., b20 Min. 
Lecture#  Description  Duration 
01  Definition of Circle, Types of Circles (1) Centre  Radius form (2) General equation : Equation of Circle passing through 3 noncollinear points. 
39 Minutes 
02  Basic questions on circle, types of circles : (3) Diameter form (4) Standard equation of circle (5) Parametric Form (6) Point  Circle, Intercepts formed by circle on coordinate axes, position of points w.r.t. circle, Some Important notes related to Circle, Different2 positions of circles, Questions. 
a 60 Min., b 25 Min. 
03  Questions  a40 Min., b25 Min. 
04  Position of Line w.r.t. Circle, Length of chord Intercepted by the circle on, Tangent, Types of tangent (1) Slope  Form, (2) Point  Form, Normal of Circle (3) Parametric  Form (4) Equation of tangent to the curve at (0, 0), number of tangents to the circle, Questions, Application of tangents  (1) Length of tangents (2) Power of points P(x_{1}, y_{1}) w.r.t. circle (3) Area of quadrilateral PACB (4) Angle between two tangents (5) Chord of contact (6) Equation of chord whose mid point is given (7) Director circle (8) Separate equations of tangents (9) Combined equations or pair of tangents (10) Equation of circle circumscribing the ΔPAB (11) PA.PB = PC. PD = PT^{2} (12) OA.OB = OC.OD (13) Area of triangle formed by pair of tangents with their chord of contact, Questions 
a45 Min., b45 Min., c37 Min 
05  Questions  a38 Min., b32 Min. 
06  Questions, Position of 2 circles and their common tangents (1) When 2 circles are separated of each other, length of external and internal common tangent (2) When two circles touches externally (3) When two circles intersect at two real and distinct points, common chord of two circles, equation of common chord and its length, maximum length of common chord, angle of intersection of 2 circles, orthogonal circles and condition of orthogonality, (4) When two circles touches internally (5) When one circle lies completely inside of other, Questions. 
a58 Min., b38 Min. 
07  Questions, Family of Circles (1) Equations of family of circles passing through the point of intersection of circles, s = 0 and line L = 0 (2) Equation of family of circles passes through 2 points A & B. (3) Equation of family of circles passes through point of intersection of 2 circles. (4) Equation of family of circles touching a curve at a point, Questions 
a44 Min., b30 Min. 
08  Questions, Radical axis/Radical centre, Equation of circle cuts three given circles orthogonally, pole and polar. 
a30 Min., b32 Min. 
Lecture#  Description  Duration 
01  Introduction of Conic Section, Definition of ConicSection, General equation of conic section, Locus of a moving point P will be conic when focus(s) lies on directrix and does not lies on directrix, Questions, some definitions related to conic section (1) Focus (2) Directrix (3) Axis (4) Vertex (5) Centre (6) Focal chord (7) Double ordinate (8) LatusRectum (LR) Standard parabola  Its all parameters, two questions. 
a36 Min., b32 Min., c25 Min. 
02  Questions based on parameters of parabola, position of point w.r.t. parabola, Questions.  a25 Min., b27 Min., c25 Min. 
03  (1) Parametric equation of a chord (2) Length of parametric chord (3) Focal chord (4) Minimum length of focal chord (5) Focal distance (6) 𝓁 (LR) = 2 (HM of 𝓁_{1} & 𝓁_{2}), where 𝓁_{1} = PS, 𝓁_{2} = QS and P & Q are 2 moving points on parabola, S = focus, (7) (a) If focal chord of parabola makes ∠angle with its axis then 𝓁(LR) = 4a cosec^{2} α. (b) Length of focal chord at a distance p from vertex is 4a^{3}÷p^{2} (8) If P_{1}Q_{1} and P_{2}Q_{2} are two focal chords of parabola y^{2} = 4ax then chords P_{1}P_{2} & Q_{1}Q_{2} intersect on its directrix. (9) If P_{1}P_{2} and Q_{1}Q_{2} are two focal chord of parabola are at right angle then area of quadrilateral P_{1}Q_{1} and P_{2}Q_{2} is minimum when chords are inclined at an angle π/4 to the axis and its minimum area is 32a^{2}. (10) The circle described on any focal chord of parabola as diameter touches its directrix. (11) A line having slope (m) passes through focus(s) cuts the parabola at two real & distinct points if m ∈ R{0}, Questions 
a27 Min., b33 Min. 
04  Questions, Position of line w.r.t. Parabola, Condition of tangency Types of tangent  (1) Point form (2) Parametric form Questions based on tangents. 
a31 Min., b40 Min., c23 Min. 
05  Questions based on tangents, common tangents of two curves, Properties of tangents : P_{1}, P_{2}, P_{3}, P_{4} 
a40 Min., b40 Min. 
06  Properties of tangents: P_{5}, P_{6}, P_{7}, P_{8} Questions based on Properties of tangents, Normal, Types (1) Point form (2) Parametric form (3) Slope form, condition of normality, Questions based on normals, properties of normal, P_{1}, P_{2}, P_{3 }(a, b, c, d), P_{4}, P_{5} . 
a32 Min., b29 Min., c28 Min. 
07  Properties of Normal P_{6} , P_{7} (a, b), P_{8}, P_{9} Reflection property, P_{10}, P_{11} (a, b, c) P11 Condition of three real & distinct normal to parabola, Questions based on normal and its properties, (1) Number of tangents to a parabola, (2) Pair of tangents (3) Director  Circle (4) Chord of contact (5) Chord whose mid point is given, Questions 
a38 Min., b20 Min., c42 Min., d34 Min. 
08  Introduction of ellipse and hyperbola, standard ellipse (when a > b and a < b) and standard hyperbola and conjugate hyperbola, its basic parameters, auxiliary  Circle/Parametric coordinates of ellipse and hyperbola, Alternate definition of ellipse and hyperbola, Some important notes, Questions determining the basic parameters of ellipse and hyperbola. 
a38 Min., b31 Min., c30 Min., d25 Min. 
09  Basic questions on ellipse and hyperbola, Questions based on Locus, Questions based on Parametric coordinates. 
a36 Min., b34 Min., c32 Min., d18 Min. 
10  Parametric equation of chord of ellipse and hyperbola, questions on parametric chord, position of line w.r.t. ellipse Hyperbola, Condition of tangency, types of tangent (1) Slope form (2) Point form (3) Parametric Form, Properties of tangents, Questions based on tangents. 
a 38 Min., b47 Min. 
11  Questions based on tangents and its properties, Pair of tangents, Equation of chord of contact, Equation of chord whose mid point is given #Director Circle, Questions, Normal of ellipse and Hyperbola, Types (1) Point Form (2) Parametric Form (3) Slope Form. 
a43 Min., b39 Min., c14 Min. 
12  Questions based on normal of ellipse Hyperbola, Reflection Property of ellipse  Hyperbola, Asymptotes of Hyperbola and conjugate Hyperbola, Properties of Asymptotes, Questions. 
a26 Min., b44 Min., c34 Min. 
13  Rectangular (Equilateral) Hyperbola, Rectangular Hyperbola considered coordinate axes as its asymptotes, its all parameters, tangents and normals, Questions. 
a32 Min., b31 Min. 
Lecture#  Description  Duration 
01  Introduction of factorial n ( ⌊n or n!) , ^{n}C_{r}, ^{n}P_{r}, Physical interpretation of n!, ^{n}C_{r}, ^{n}P_{r}.  19 Minutes 
02  Fundamental  Principles of counting (i) Multiplication  Rule (ii) Addition Rule Basic Questions based on multiplication and additionRule; Samplespace. 
a51 Min., b49 Min. 
03  Questions, Number Problems.  a40 Min., b35 Min. 
04  Number problems based on divisible by 3, 4, 5, 25, Theorem1: Selection and Permutation of r things out of n. Theorem2 : Permutation of n things in which some things are of same kind. 
a46 Min., b28 Min. 
05  Questions considering the word “RAKESH MODI” Questions, problem of forming words of 7 letters taking 3 vowels and 4 consonants using letters of word : “DIFFERENTIATION”. Problem of forming the words each consisting 3 consonants and 3 vowels by using letters of words “CIRCUMFERENCE”. 
a42 Min., b25 Min., c35 Min. 
06  Rank (Position) of a word or numbers, sum of the numbers formed (No repetition or when repetition allowed), Circular Permutation. 
a35 Min., b33 Min., C35 Min. 
07  Number of selection of r consecutive things out of n distinct things, Geometrical Problems Number of total lines, number of diagonals, number of triangles (a) One side common with given polygon (b) Two sides common with given polygon (c) Three sides common with given polygon. (d) None of the side common with given polygon. Chess board problems  Number of total rectangles, Number of total squares. Problem based on moving from left bottom corner to the right top corner in a chess board. 
a48 Min., b57 Min. 
08  Groupings & distribution of n differents things into groups or bundles.  a30 Min., b29 Min., c27 Min. 
09  Selection of none, one or more things when given things are different or identical, Total number of divisors, Total number of proper divisors, Sum of total divisors, Number of ways in which a number (N) can be resolved as a product of two factors which are relatively prime or coprime. 
a48 Min., b45 Min., c14 Min. 
10  Multinomial theorem of permutation and combination, Beggar’s Method  a45 Min., b43 Min. 
11  Questions based on multinomial theorem, Dearrangement of n different things.  a31 Min., b23 Min. 
12  Miscellaneous questions  a33 Min., b34 Min. 
13  Miscellaneous questions  a30 Min., b17 Min. 
Lecture#  Description  Duration 
01  Introduction of complex number, about iota (i), Algebra of complex numbers (1) Addition/subtraction (2) Multiplication (3) Conjugate of a complex number (4) Division (5) Equality of two complex numbers (6) Square root of a complex numbers, Questions to solving complex equations. 
a43 Min., b28 Min., c23 Min. 
02  Questions, Representation of Complex number (Geometrical interpretation of Complex number) (1) Cartesian form (2) Polar or parametric form (3) Euler’s form # Demoiver’s theorem, Questions. 
a48 Min., b38 Min. 
03  Properties of modulus/conjugate, Modulus  Inequalities (Triangular Inequalities), Properties of argument of complex number, Interconversion of complex number (z) into Cartesian form (x, y) or viceversa. 
a41 Min., b29 Min. 
04  Questions based on Properties of Modulus, conjugate, argument of complex number and modulus inequalities  a46 Min., b47 Min. 
05  Geometrical meaning of arg(z) = θ. Solving questions graphical, cuberoots of unity, cuberoots of –1, Properties, Questions based on cube roots of 1 and cube roots of –1. 
a46 Min., b39 Min., c29 Min. 
06  n^{th} roots of unity, Properties, Questions based on n^{th} roots of unity, rotation theorem (Geometrical interpretation of e^{i θ}). Questions based on Rotation theorem. 
a41 Min., b21 Min., c44 Min. 