Subject  PCM  Medium  ENGLISH 

Faculty  NV Sir,VKP Sir,SSI Sir,AS Sir  Status  AVAILABLE 
Category  COMPLETE COURSE  Lecture  
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  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  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 
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. 