| 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 |
| You May Pay in Installments through Credit Card | |||
| Product Type | Prices | Validity | |
|---|---|---|---|
| HARD DISK | 19900 10%OFF 17910 | 2 year |
| 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, gay-lussac law | 30 Minutes |
| 05 |
Stoichiometry, mole-mole 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 , le-chatelier'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, le-chatelier'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 | Gay-lussac’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 , H-spectrum, 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 | Hybridisation-sp, 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 , s-p 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 H-bonding Intramolecular H bonding | 49 Minutes |
| 23 | Examples of h-bonding, van der waal forces( ion-dipole, dipole-dipole , ion-induced dipole, dipole-induced 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 , Ni-Cd cell , H2-O2 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, Hall-Heroult 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, d-d 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 | Preliminary test, Dry Heating test, Flame test, Borax bead test, Charcoal cavity test. Cobalt nitrate test. | 35 Minutes |
| 02 | Group A anion, radial | 25 Minutes |
| 03 | ,s2- | 20 Minutes |
| 04 | starch / iodide test, Brown ring test, CH3 COO- | 25 Minutes |
| 05 | ,Iodometry test | 25 Minutes |
| 06 | Cl- , F- , Br- , I- | 59 Minutes |
| 07 | Nitrate,oxalate, borate ion | 36 Minutes |
| 08 | Group B anion Sulphate,phosphate,permanganate,chromate anion | 26 Minutes |
| 09 | Cation (basic radical) Zero group- Ist group- Pb+2 | 15 Minutes |
| 10 | Ist group - Ag+ , Hg+2 | 29 Minutes |
| 11 | II A group - IIA & IIB IIA - Cu+2 , Bi+3 , Pb+2 , Cd+2 , Hg+2 | 40 Minutes |
| 12 | III group - Al+3 , Fe+3 , Cr+3 IV group - Mn+2 | 30 Minutes |
| 13 | V group - Ba+2 , Sr+2 , Ca+2 VI group - Mg+2 | 26 Minutes |
| Lecture# | Description | Duration |
|---|---|---|
| 01 | Definition of isomerism, Classification of isomerism, Chain isomerism, Positional isomerism | 45 Minutes |
| 02 | Functional isomerism, Ring-chain 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 | Wedge-Dash projection fromula , Fischer–Projection formula , Absolute configuration (R/S-configuration) , CIP-Rule | 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/S-mixture) , 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 H2/cat, Monochlorination Cl2/hn | 29 Minutes |
| 02 | Structural Identification , Monochlorination Cl2/hv , Ozonolysis , Reductive ozonalysis , Oxidation ozonalysis , Practical organic chemistry (POC), POC-I , 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 (NaHCO3), Test of phenols and enols , Test of nitro compounds , Test of amines , Hinseberg’s test , POC-II | 33 Minutes |
| Lecture# | Description | Duration |
|---|---|---|
| 01 | Electornic effect , Inductive effect | 36 Minutes |
| 02 | Applications of I-Effect , 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 filled-p , When +ve charge and lone pair are adjacent , d-orbital 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 Non-benzenoids | 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, Keto-enol Tautomerism, Mechanism of keto-enol Tautomerism | 23 Minutes |
| 18 | Stability of enol (Percentage enol-content), Racemisation due to enolisation | 43 Minutes |
| 19 | D-Excharge , Tautomerism in phenols , Ring-chain Tautomerism , Unsymmetrical alpha-hydroxy 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 | SN1 or R–X, Solvolysis reaction , Factors affecting the rate of SN1 reactions , SN1 of alcohol R–OH | 50 Minutes |
| 07 | SN1 of R–OH, Lucas reaction , SN1 of ethers , Hydrolysis of ethers , SN2 reaction of (R–X), Kinetics of SN2 reaction , Stereochemistry of SN2 Rxn , PE-diagram of SN2 Rxn | 43 Minutes |
| 08 | Walden's experiment , Walden Inversion , Factors affecting the rate of SN2 Rxn , Halogen exchange reaction , Finkelstien reaction , Swart's reaction , SN2 Rxn of alcohol (R–OH), SNi reaction of alcohol with SOCl2 | 48 Minutes |
| 09 | SN2 of ether , Reaction of epoxides , Williamson's ether synthesis | 29 Minutes |
| 10 | Intramolecular SN2 reactions , Neighbouring group participation (NGP) , Comparison between SN1 and SN2 , SN1 Vs SN2 | 41 Minutes |
| 11 | Elimination Reaction , E1 elimination (of R–X), Saytzeff's rule , Regioselectivity , E1 of Alcohols, Acid catalysed dehydroation of alcohol, Dienone- Phenol rearrangement , Pinacol - Pinacolone rearrangement , Semipinacol- Pinacolone rearrangement | 51 Minutes |
| 12 | E2 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 SN1/ SN2/E1/E2, Stereo selectivity of E–2 reaction , E1CB reaction , Cases when Hofmann Alkene is the major product | 40 Minutes |
| 14 | Tetraalkyl ammonium hydroxide , E–2 Rxn, Didehalogenation , Stereoselectivity , Isotope effect (KH/KD) | 24 Minutes |
| Lecture# | Description | Duration |
|---|---|---|
| 01 | Organometallic compounds , Preparation of G.R. | 12 Minutes |
| 02 | Preparation of GR, Solvents of GR, Reaction of GR, Acid-base 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, 1,2-addtion & 1,4-additon , 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 , P-2 catalyst (Nickle Boride), Birch reduction | 44 Minutes |
| 07 | Hydroboration Reduction (HBR), Transfer Hydrogenation, Clemmensen reduction , Wolf-Kishner reduction, Lithium aluminium hydride (LiAlH4) | 54 Minutes |
| 08 | Sodiumboro hydride (NaBH4) (SBH), Triphenyltin hydride Ph3SnH (TPH), DiBAl-H- Diisobutyl Aluminium hydride , Red –P + HI, Mozingo reduction , MPV- reduction , Oppeneaus Oxidation , Bauvealt-Blanc 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), Wurtz-Fitting reaction , Fitting reaction , Frankland reaction , Kolbe's Electrolytic synthesis (KES), Corey-House 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 , PE-diagrams , 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 , Non-Classical carbocation mechanism , Markowni Koff's rule , Addition of H–X, Antimarkowni Koff's rule | 52 Minutes |
| 03 | Addition of H2O on Alkenes , Acid-catalysed hydration of Alkenes , Oxymercuration- Demercuration reaction (OM/DM), Hydroboration -oxidation (HBO), Alkoxymercuration Demercuration , Addition of X2 on Alkenes | 47 Minutes |
| 04 | Addition of HOX on alkenes , Stereoselectivity , Order of rate of addition of X2 on alkene , Chemical reaction of Alkynes , Addition of H-X on alkynes , Addition of H2O on alkynes , Hydration of alkyne with dil H2SO4 and HgSO4, 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- N-bromosuccinimide | 35 Minutes |
| 07 | Reaction of NBS, MnO2- Oxidising agent , Carbenes , Sources of carbenes , Types of carbenes | 21 Minutes |
| 08 | Reaction of carbene , Reimmer-Tiemann 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 (OsO4), Epoxidation by per acid | 49 Minutes |
| 09 | Oxidation-strong oxidising agent , Potassium dichromate K2Cr2O7/H2SO4, Alkaline KMnO4/ OH-, H2CrO4 or CrO3 + H2O, Table of oxidising agents , Oxidation of alcohols , Mild oxidising agents , Oxidation of periodic acid HIO4, Oxidation of aldehydes , Oxidation with NBS, Tollen's reagent , Fehling's Reagent , Benedict's solution , Schiff's reagent | 38 Minutes |
| 10 | Oxidation of seleniumdioxide SeO2, Side-Chain oxidation | 13 Minutes |
| Lecture# | Description | Duration |
|---|---|---|
| 01 | Aromaticity , Benzenoids and Non-Benzenoids , NMR-definition of Aromaticity , Anti Aromaticity , Polycyclic aromatic compound , Azulenes , Reaction of AgNO3 and Na-metal , (n)-Annulenes , Peripheral aromaticity | 44 Minutes |
| 02 | Electrophilic aromatic substitution reaction , Halogenation of Benzene , Baltz-Schiemann reaction , Nitration of benzene , Kinetic Isotope effect , Sulphonation of benzene , Friedel-Craft reaction (F.C. Rxn), F.C. Alkylation | 49 Minutes |
| 03 | Ring-Closure at C-1 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 | Ortho-para 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, Reimer-Tiemann Reaction , Reimer-Tiemann formylation , Reimer-Tiemann carboxylation , Comparison of Reimer-Tiemann and carbyl amine reactions , Kolbe-Schmidt 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 , Baltz-scheimann 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 , IPSO-Substitution | 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 H2O, SIR effect on Aromatic amines , Basic strength of pyridine and pyarole | 43 Minutes |
| 12 | Amidine-basic strength , Guanidine- basic strength , Kb 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 H2O (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 NH3, Addition of Ammonia derivative | 35 Minutes |
| 03 | Addition of NaHSO3 (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 , Cross-Claisen , 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 , Alpha-Halogenation , Haloform reaction , Iodoform test | 44 Minutes |
| 08 | Baeyer - Villiger Oxidation , Benzil - Benzilic acid Rearrangement , D-exchange reaction , Witting reaction , Benzoin condensation | 33 Minutes |
| Lecture# | Description | Duration |
|---|---|---|
| 01 | Carboxylic acid preparation , Arndt-Eistert 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 , Hell-Volhard-Zelinsky (HVZ) reaction , Acid derivatives , Preparation of acid derivatives , SN2 Th reaction , Esters- preparation , Type-I mechanism of esterification, Type-II 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/L-configuration (Relative configuration) , Glucose , Cyclic hemiacetal structure of glucose , ANOMERS , EPIMERS , Haworth structure of glucose- glucopyranose structure, Formation of methyl-O-glucoside , 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 Alpha-Amino acids (AA), Neutral Alpha-AA, Acidic Alpha-AA, Basic Alpha-AA, Zwitter ion , Iso-electric 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 , Nylon-6, Nylon-6,6, Natural Rubber , Synthetic Rubber- Neoprene , Buna-S, Buna-N , 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 , Gutta-percha, Vinylidene chloride- Vinyl chloride polymer , Lexan-Poly 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 | Wind-aeroplane 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 non-inertial 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 force-displacement 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 non-conservative forces | 28 Minutes |
| 05 | methods to identify conservative forces , Del-operator, 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 vise-versa. 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, semi-circular ring, semi-circular disc, solid hemi-sphere, hollow hemi-sphere, 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, impulse-momentum 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 spring-mass-system. Problems , Collision, line of impact, coefficient of restitution, | 39 Minutes |
| 08 | classification of collision, head-on-inelastic collision, head on elastic collision, head on-perfectly 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 1st 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, Meta-center, stability of completely submerged body and partially submerged body , metacentre. | 56 Minutes |
| 06 | Types of flow, Uniform and Non-Uniform 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 Anti-nodes, 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 La-place corrections. | 32 Minutes |
| 03 | Dependence of speed of sound on Temperature, Pressure and relative Humidity. Intensity of sound wave, Wave front, Shape of wave-front 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, U-V 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, U-V 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 | 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 | Post-office box, rating of electrical instruments like bulb and heater | 45 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, matter-waves, Debroglie’s formula for wavelength of matter-waves. 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 photo-electron, Graphs | 37 Minutes |
| 05 | Photo-current, 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.X-ray introduction, Production of X-ray, Types of X-rays, continuous X rays. accelerating voltage | 41 Minutes |
| 14 | Characteristics X-rays, cut-off wavelength, ,K-alpha/K-beta/L-alpha/L-beta characteristics X-rays and their wavelength/ frequency, Mosley’s law ,Graphs and problems on X-rays | 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, alpha-particles, Beta particles, positron, neutrino, anti-neutrino | 34 Minutes |
| 03 |
Alpha particle emission, kinetic energy of alpha- particle and Gama-particle, Beta particle Emission, positron emission, K-capture |
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), Inter-conversion of Roster form into set builder form or vice-versa; 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) Open-interval (3) Discrete interval or curly bracket, Operation on sets (By venn-diagram) (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 co-domain and range. | 43 Minutes |
| Lecture# | Description | Duration |
|---|---|---|
| 01 | Definition of Function, Domain, Co-domain, Range, Mapping diagram, Graphical definition of function, Rational (or Polynomial) Functions, Basic concepts, Rational inequalities, Steps to solve Rational-Inequalities. |
1 Hrs 14 Minutes |
| 02 | Solving Rational-inequalities (Non-repeated 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 modulus-functions, Removal of Modulus-Functions, Graphs of Modulus-Function, Modulus - Inequalities. |
1 Hrs 05 Minutes |
| 04 | Modulus-Equations and Inequalities. | 55 Minutes |
| 05 | Irrational-functions, their domain and Range, Irrational Equations and inequalities, Determining domain of irrational functions. |
1 hrs 03 Minutes |
| 06 | Irrational-Inequalities, 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 Log-inequalities when base is positive fractional or greater than one. | 41 Minutes |
| 09 | (a) Log-inequalities when base is variable (b) Log-inequalities when base is variable. Determining domain of Log-functions. |
(a) 33 Minutes (b) 48 Minutes |
| 10 | Greatest integer function (GIF), Basic graph, Formulae, Fractional Part function (FPF), Basic Graph, Formulae, Signum-function, 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 T-Ratios, Questions (b) Questions the determining General and Particular solutions of T-Equations. |
(a) 1 Hr. 04 Minutes (b) 32 Minutes. |
| 13 | (a) Questions, T-inequalities (b) T-inequalities, Domain of T-Functions. |
(a) 42 Minutes (b) 35 Minutes |
| 14 | Inverse -trigonometric functions, condition for defining inverse of a function, classification of functions. One-One (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 M-1 Represent x or function of x in terms of y M-2 Range by Using Monotonocity |
1 hrs 12 Minutes |
| 17 | M-3 Range of L / L, Q / L, L / Q, Q / Q M-4 Range of composite functions |
1Hrs 15 Minutes |
| 18 | Domain and Range of composite functions by defining them in one-interval or in different-different intervals. (Using graphical method) |
1 Hrs 10 Minutes |
| 19 | Composite functions in different intervals. Types of functions: (1) one-one (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 1-1 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 (Non-Periodic Functions) Graphs of y = T–1 (T(x)) (Periodic Functions) |
1 Hrs |
| 23 | Graphs of y = T–1 (T(x)), Questions, Inter-conversion 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, Inverse-trigonometric functions of tan–1x ± tan–1y, sin–1x ± sin–1y or cos–1x ± cos–1y, Questions (b) Solving Inverse trigonometric equations. |
(a) 51 Minutes (b) 40 Minutes |
| 26 | Summation series of inverse-trigonometric 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) Functional-Equations. 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 | Maximum-Minimum 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 |
(a-50 Min., b-25 Min.) |
| 03 | (a) M-3- Evaluate of limit when x →∞ or x→ –∞ (b) Questions based on method no.3 |
(a-34 Min., b-33 Min.) |
| 04 | (a) M-4- Series expansion by Maclaurin’s Series, Series Expansion of Basic functions, (b) Determining unknown parameters by series expansion. M-5- Standard - Limits |
(a-37 Min., b-27 Min.) |
| 05 | (a) Formulae of standard-limits, Questions based on standard limits. (b) Standard limits using substitution method. M-6- Limit in form of 1∞ |
(a-47 Min., b-28 Min.) |
| 06 | (a) Questions on 1∞ form. L’Hospital’s rule (LH-Rule). (b) Questions based on LH-Rule |
(a-36 Min., b-22 Min.) |
| 07 | (a) 0° or ∞° forms. (b) Miscellaneous questions of limit |
(a-41 Min., b-36 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) Non-Removable Discontinuity (Limit does not exist) (A) Finite Non-removable discontinuity, Jump of discontinuity = | RHL – LHL | (B) Infinite Non-removable 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. |
(a-32 Min., b-18 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 |
(a-45 Min., b-20 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. |
(a-38 Min., b-30 Min.) |
| 12 | (a, b) Differentiability in an interval, questions based to check continuity and differentiability in an interval. | (a-29 Min., b-27 Min.) |
| 13 | (a) Graphical method to check differentiability, Differentiability of maximum-minimum of two or more than 2 functions. (b) Graphical method to check differentiability |
(a-32 Min., b-30 Min.) |
| 14 | (a) Determination of a function using differentiation (b) Miscellaneous questions based on LCD. |
(a-25 Min., b-24 Min.) |
| 15 | (a, b) Miscellaneous questions based on LCD. | (a-33 Min., b-34 Min.) |
| Lecture# | Description | Duration |
| 01 | (a) Some basic differentiation by using first principle (AB-Initio 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. |
(a-30 Min., b-41.22 Min.) |
| 02 | Questions of Differentiation of functions. | 55 Minutes |
| 03 | (a, b) Differentiation of Log-functions. | (a-29 Min., b-23 Min.) |
| 04 | (a) Derivative of inverse - functions. (b) Derivative of inverse - functions by substitution method. |
(a-16 Min., b-38 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 |
(a-25 Min., b-33 Min., c-25 Min.) |
| 06 | (a,b) Parametric Differentiation, Differentiation of Implicit functions. | (a-37 Min., b-21 Min.) |
| 07 | (a) Derivative of functions represented by infinite series, Differentiation of determinants. (b) Higher order derivatives. |
(a-28 Min., b-25 Min.) |
| 08 | (a,b) Higher order derivatives. | (a-24 Min., b-25 Min.) |
| Lecture# | Description | Duration |
| 01 | (a) Brief Revision of Straight Line and Tangent-Normal: 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. |
(a-27 Min., b-42 Min.) |
| 02 | (a) Questions based on tangent and normal when curve given in parametric form. (b) Tangent and normal from an external point. |
(a-26 Min., b-34 Min.) |
| 03 | (a) Questions based on tangents and normals from an external point. (b) Tangent on the curve - intersecting the curve again. |
(a-35 Min., b-23 Min.) |
| 04 | (a) Common-tangents. (b) Angle of intersection of two curves; shortest -distance between 2 non-intersecting curves. |
(a-36 Min., b-39 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. |
(a-26 Min., b-46 Min.) |
| 06 | (a, b) Questions on monotonicity of function at a point or in an interval. | (a-35 Min., b-39 Min.) |
| 07 | (a) Questions of Monotonocity. (b) Proving inequalities by using monotonocity. |
(a-35 Min., b-32 Min.) |
| 08 | (a) Concavity, Convexity and point of inflexion (POI) of curve. (b) Curve tracing by using concept of differential calculus. |
(a-30 Min., b-29 Min.) |
| 09 | (a, b) Rolle’s theorem, Langrange’s Mean Value theorem (LMVT) | (a-30 Min., b-35 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. |
(a-28 Min., b-20 Min., c-29 Min.) |
| 11 | (a, b) Questions. | (a-28 Min., b-28 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. |
(a-33 Min., b-40 Min., c-55 Min.) |
| 13 | (a, b) Geometry Problems. | (a-43 Min., b-41 Min.) |
| 14 | Geometry Problems. | 33 Minutes |
| Lecture# | Description | Duration |
| 01 | (a) Concept of integration, Standard formulae (b) Defining all standard formulae. |
(a-34 Min., b-23 Min.) |
| 02 | (a, b) Basic integration directly formulae based. | (a-39 Min., b-39 Min.) |
| 03 | (a) Substitution method; Formulae of some standard substitution. (b) Questions based on substitution method. |
(a-27 Min., b-33 Min.) |
| 04 | (a) Integral in the form of : ∫sinm x cosn x dx ; ∫ tanm x secn x dx (b) Integral in the form of : ∫ xm(a + bxn )dx , Questions on substitution method. |
(a-40 Min., b-31 Min.) |
| 05 | (a) Questions on substitution method in irrational functions. (b) Questions on substitution method. |
(a-34 Min., b-38 Min.) |
| 06 | (a) Integration by parts. (b) Integration by parts, Using (A) ∫ex (f(x) + f '(x))dx = f(x)ex + C OR (B) ∫(f(x) + xf '(x))dx = xf(x) + C |
(a-35 Min., b-36 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 non-repeated linear factors in denominator (ii) Repeated linear factors in denominator (iii) Quadratic factors in denominator (D<0) |
(a-29 Min., b-38 Min.) |
| 08 |
(a) Questions on partial fraction method Integration in the form of : ∫ (px+q)dx ÷ ax2+bx+c (b) Integration in the form of : ∫ (x2 ± a2)dx ÷ x4+kx2+a4 or ∫ dx ÷ x4+kx2+a4 Integration in the form of : (a) ∫ dx ÷ x(xn + 1) (b) ∫ dx ÷ xn (1+xn)1/n (c) ∫ dx ÷ x2(xn+1)n-1/n |
(a-44 Min., b-32 Min.) |
| 09 |
(a) Integration of Irrational Functions Integration in the form of : ∫ (px+q)dx ÷ √ax2+bx+c OR ∫(px+q) √ax2+bx+c dx (b) Integration in the form of : (A) ∫ dx ÷ (px+q)√ax+b (B) ∫ dx ÷ (px2+qx+r)√ax+b (C) ∫ dx ÷ (px+q)√ax2+bx+c (D) ∫ dx ÷ (px2+qx+r)√ax2+bx+c (c) Questions based on Integration of Irrational functions. |
(a-35 Min., b-25 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(eax )dx OR ∫ (aex + be-x ) ÷ (pex + qe-x )*dx , Reduction Formulae. |
(a-42 Min., b-38 Min.) |
| 11 | (a, b) Miscellaneous Questions | (a-25 Min., b-38 Min.) |
| 12 | (a, b) Miscellaneous Questions | (a-33 Min., b-29 Min.) |
| Lecture# | Description | Duration |
| 01 |
(a, b) Introduction of definite integral (DI), Geometrical interpretation of definite integral,
b b |
(a-49 Min., b-35 Min.) |
| 02 |
(a, b) Questions based on P1, P2 and Concepts of indefinite integration. |
(a-38 Min., b-33 Min.) |
| 03 |
b c b |
(a-33 Min., b-38 Min.) |
| 04 |
b b a a Questions based on P4. |
(a-44 Min., b-40 Min.) |
| 05 |
(a, b) Questions based on P4, Questions based on P5, P6. |
(a-41 Min., b-33 Min.) |
| 06 |
(a, b) Property No. 7 (Based on periodicity of function) :
nT T |
(a-37 Min., b-52 Min.) |
| 07 | (a) Questions based on Leibnitz theorem. (b) Definite Integrals as the limit of a sum (AB-initio method). |
(a-27 Min., b-47 Min.) |
| 08 | Questions based on integral as Limit of a sum. | (a-35 Min.) |
| Lecture# | Description | Duration |
| 01 | (a,b) Quadrature, How to evaluate area under the curve with x-axis or with y-axis, area bounded by the two intersecting curves, area bounded by the curves in different-2 conditions. |
(a-37 Min., b-17 Min.) |
| 02 | (a, b, c) Questions based on area under the curves. | (a-28 Min., b-24 Min., c-29 Min.) |
| 03 | (a, b) Questions, Questions based on determining parameters. | (a-36 Min., b-29 Min.) |
| 04 | (a, b) Questions based on determining the parameters, area under the curves using inequalities. | (a-36 Min., b-39 Min.) |
| 05 | (a, b) Area under the curves using functional inequalities, area bounded with f(x) and its inverse f–1 (x). Miscellaneous Questions. |
(a-30 Min., b-30 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). |
(a-47 Min., b-18 Min., c-22 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 x2 + y2 = r2 , put x = r cos θ, y = r sin θ, and in x2 – y2 = r2 , 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 |
(a-27 Min., b-34 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. |
(a-25 Min., b-34 Min., c-23 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) | (a-40 Min., b-33 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, Radius-vector, Higher Degree & order of differential equations, orthogonal trajectory (OT) of curves, Clairaut’s differential equations. |
(a-29 Min., b-35 Min., c-32 Min.) |
| Lecture# | Description | Duration |
| 01 |
Definition of Matrix A = [ai 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. |
(a-32 Min., b-42 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. |
(a-58 Min., b-45 Min.) |
| 07 | Questions on product of 2 determinants, Differentiation and integration of determinants, Summation of determinants, System of Non-Homogenous Linear equations in 3 variables, Cramer’s rule. |
1 Hr. 2 Min. |
| 08 | System of linear equations in 2-variables, Consistency and Inconsistency of linear equations, Homogenous system of linear equations, Trivial and Non-trivial 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. |
(a-55 Min., b-39 Min., c-20 Min.) |
| 10 | (a) Consistency and Non-consistency of system of Linear equations by Rank method, Solution of 3 equations in two variables. (b) Matrices polynomial, characteristic matrix, Caley-Hamilton theorem. Inverse of a non-singular matrix by elementary transformation (along Row / Column) (Board Topic) |
(a-52 Min., b-37 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 (scalar-product) 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. |
(a-55 Min., b-39 Min.) |
| 03 | Cross product (Vector - product) of two vectors, Geometrical - interpretation, properties of cross-product, 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 (3-D 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 co-planarity of two lines. Equation of plane containing 2 lines. Questions |
56 Minutes |
| 11 | Questions, skew-lines, shortest distance (SD) between 2 skew-lines, 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. Vector-triple 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) Circum-radius and inradius of regular tetrahedron. Questions, Reciprocal-system of vectors, Linearly Independent and Linearly dependent vectors (LILD), Sphere, Types of sphere, Section of Sphere intersected by a plane, Questions of sphere. |
(a-47 Min., b-60 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 (Non-occurance) 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., b-28 Min., c-26 Min., d-41 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. |
(a-34 Min., b-35 Min., c-25 Min., d-24 Min.) |
| 03 | Questions based on Conditional probability, Questions based on dependent or independent events, Law’s of total probability. |
(a-26 Min., b-29 Min., c-31 Min., d-39 Min.) |
| 04 | Baye’s theorem (Reverse theorem). | (a-27 Min., b-40 Min., c-24 Min., d-4 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. |
(a-35 Min., b- 32 Min., c-26 Min.) |
| Lecture# | Description | Duration |
| 1 | Definition of set, Methods to represent sets : (1) Roster form or tabular method (2) Set builder (Property method), Inter-conversion of Roster form into set builder form or vice-versa; 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) Open-interval (3) Discrete interval or curly bracket, Operation on sets (By venn-diagram) (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 co-domain 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) Co-prime numbers (Relatively prime numbers) (7) Twin-prime 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 Non-repeated 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. |
a-14 Min., b-51 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, domain-range and graph of basic exponential & log functions, Properties formulae, Simplification of log functions. |
53 Minutes |
| 11 | Basic questions to simplify the Log functions, Log-equations. | a-35 Min., b-19 Min. |
| 12 | Logarithmic and Exponential equations. | 46 Minutes |
| 13 | Exponential and Log inequalities. | 41 Minutes |
| 14 | Log-inequalities when base is variable, Domain of functions including irrational or log functions. | a-33 Min., b-48 Min. |
| 15 | Greatest integer function (GIF), Domain-Range and basic graph of GIF, Properties, Fractional-part function (FPF), Domain-Range and Basic Graph, Properties, Signum function, Domain-Range and Graph. |
1 Hrs 01 Minutes |
| 16 | Questions based on GIF, FPF and Signum function. | a-39 Min., b-32 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 ax2 + bx + c = 0 (a≠0) D1 = b12 –4a1c1 and D2 = b2 –4a2c2) |
1 Hrs 03 Minutes |
| 05 | Plotting of quadratic expression (Graph) when a > 0 or a < 0 in y = ax2 + bx + c (a≠0), Range of y = ax2 + bx + c when x ∈ R Sign of a, b, c, D, Range in an interval x ∈[x1, x2], 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 (k1, k2) (5) When only 1 root lies in (k1, k2) |
1 Hrs 27 Minutes |
| 08 | Questions based on location of Roots, Pseudo-Quadratic equation, Questions based on it. |
1 Hrs 26 Minutes |
| Lecture# | Description | Duration |
| 01 | Arithmetic progression (AP), Standard terms, General term or last term (tn 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., b-42 Min. |
| 07 |
(a) Summation of series based on product of terms in GP but with non-AP; Summation of series, i.e. n n n n nSn = ∑tr, (Vn - Vn-1 )method, Evaluating the value of ∑1, ∑r, ∑r2, ∑r3, r=1 r=1 r=1 r=1 r=1 (b) Method of differences |
a-37 Min., b-35 Min. |
| 08 | Miscellaneous Series | 1 Hrs |
| 09 | Miscellaneous Series | 34 Minutes |
| Lecture# | Description | Duration |
| 01 | Basic Trigonometric Ratios (T-Ratios), 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 domain-range 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 | a-35 Min., b-42 Min. |
| 04 |
Multiple and sub-multiple angles, θ = 52*10÷2, θ = 142*10÷2, value of sin 180 (180 = π÷10), cos360(360 = π÷5), Questions. |
a-53 Min., b-38 Min. |
| 05 | Questions based on multiple and sub-multiple angles. | 60 Minutes |
| 06 | Questions. Conversion of sin5A in terms of sinA and Conversion of cos5A in terms of cosA. |
a-32 Min., b-32 Min. |
| 07 | Conditional identities and Range of Trigonometric functions. | a-25 Min., b-34 Min. |
| 08 | Range by using concept of differentiation . | a-40 Min., b-19 Min. |
| 09 |
Trigonometric series- sin2 θ = sin2 α |
a-29 Min., b-38 Min. |
| 10 | Basic Trigonometric equations directly formula based. | a-24 Min., b-27 Min. |
| 11 | Trigonometric equations based on trigonometric identities, Questions based on Boundary values, solving simultaneous trigonometric equations. |
a-33 Min., b-25 Min. |
| 12 | Advanced Level Trigonometric equations. | a-34 Min., b-38 Min. |
| 13 | Advanced Level Trigonometric equations, Trigonometric-Inequalities. | a-25 Min., b-41 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) Cosine-formula (5) Projection formula (6) T-Ratios of half- angles, Questions |
43 Minutes |
| 02 | Questions | a-53 Min. |
| 03 | Questions, m-n rule, circles connected to a triangle- (1) Circumcircle (2) Incircle (3) Ex-circles (4) Centroid (5) orthocentre (6) Circum-centre. |
a-31 Min., b-40 Min., c-34 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 (I1, I2, I3) Questions. |
49 Minutes |
| 05 | Questions | a-32 Min., b-22 Min. |
| 06 | Questions, Pedal-triangle (ΔLMN), its all parameters. | a-44 Min., b-34 Min. |
| 07 | Ex-central-triangle (ΔI1 I2 I3), 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 (I1, I2, I3) (4) Distance between orthocentre (H) and Incentre (I) (5) Distance between centroid (G) and circumcentre (o) |
a-35 Min., b- Min. |
| Lecture# | Description | Duration |
| 01 | About factorial n (n!,⌊n ), Domain-Range and Properties of factorial n. About nCr, nPr, formulae based on n! , nCr and nPr, Binomial expansion (for n ∈ N), Pascal-Triangle, General term, mth term from ending, middle term (for n odd, n even), Questions based on Binomial expansion and determining terms in Binomial expansion. |
a-50 Min., b-20 Min. |
| 02 | Questions based to determine middle term in Binomial expansion, Questions based to determine coefficient of xr in Binomial expansion, Questions based to determine the term independent of x. |
a-36 Min., b-31 Min. |
| 03 | Questions based on determining coefficient in product of 2 Binomial expansions, Multinomial theorem. | a-25 Min., b-39 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. |
a-34 Min., b-28 Min. |
| 05 | Numerically-Greatest 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 . |
a-31 Min., b-35 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. |
a-29 Min., b-43 Min. |
| 07 | Summation of series. | a-42 Min., b-33 Min. |
| 08 | Questions based on Sigma, Summation of Binomial Coefficients taken two at a time, Summation when upper index is variable. |
a-47 Min., b-35 Min. |
| 09 | Questions based on summation of Binomial coefficients taken two at a time when upper index is variable. | 32 Minutes |
| 10 | Double-Sigma, Binomial expansion for negative or fractional power, Some-important expansions, Questions based on determining Coefficient in negative or fractional power in Binomial expansion. |
a-43 Min., b-34 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. |
a-44 Min., b-38 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 (I1, I2, I3) (4) Orthocentre (H) (5) Circum-centre(o) Types of straight lines- (1) General equation (2) Slope - intercept form (3) (a) Equation of a line parallel to x-axis. (b) Equation of line perpendicular to x-axis. (c) Equation of line coincident to x-axis. (d) Equation of line coincident to y-axis. (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. |
a-43 Min., b-46 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. |
a-41 Min., b-49 Min. |
| 05 | Questions based on special points and types of lines. | a-45 Min., b-37 Min. |
| 06 | Equations of lines passing through P(x1, y1) 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. |
a-35 Min., b-49 Min. |
| 07 | Perpendicular distance, foot of perpendicular, foot of perpendicular, image of a point (x1, y1) 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 linear-inequations, condition that a point lies inside of a triangle. |
a-48 Min., b-37 Min. |
| 08 | Questions based on perpendicular distance, foot of perpendicular and image. | a-45 Min., b-34 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(x1, y1). |
a-43 Min., b-51 Min. |
| 10 | Questions based on angle-bisectors, family of lines (concurrent lines), Questions based on family of lines. | a-47 Min., b-24 Min. |
| 11 | Pair of lines (combined or joint equations), Non-homogenous equation of second degree, homogeneous equation of second degree, angle between pair of lines, separate equations from second degree, condition that second degree non-homogenous equations represents pair of lines, point of intersection of pair of lines, combined equations of angles bisectors of pair of lines. |
a-39 Min., b-34 Min. |
| 12 | Questions, distance between two parallel pairs of lines, Homogenisation. | a-39 Min., b-20 Min. |
| Lecture# | Description | Duration |
| 01 | Definition of Circle, Types of Circles- (1) Centre - Radius form (2) General equation : Equation of Circle passing through 3 non-collinear 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, Different-2 positions of circles, Questions. |
a- 60 Min., b- 25 Min. |
| 03 | Questions | a-40 Min., b-25 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(x1, y1) 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 = PT2 (12) OA.OB = OC.OD (13) Area of triangle formed by pair of tangents with their chord of contact, Questions |
a-45 Min., b-45 Min., c-37 Min |
| 05 | Questions | a-38 Min., b-32 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. |
a-58 Min., b-38 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 |
a-44 Min., b-30 Min. |
| 08 | Questions, Radical axis/Radical centre, Equation of circle cuts three given circles orthogonally, pole and polar. |
a-30 Min., b-32 Min. |
| Lecture# | Description | Duration |
| 01 | Introduction of Conic Section, Definition of Conic-Section, 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) Latus-Rectum (LR) Standard parabola - Its all parameters, two questions. |
a-36 Min., b-32 Min., c-25 Min. |
| 02 | Questions based on parameters of parabola, position of point w.r.t. parabola, Questions. | a-25 Min., b-27 Min., c-25 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 𝓁1 & 𝓁2), where 𝓁1 = PS, 𝓁2 = 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 cosec2 α. (b) Length of focal chord at a distance p from vertex is 4a3÷p2 (8) If P1Q1 and P2Q2 are two focal chords of parabola y2 = 4ax then chords P1P2 & Q1Q2 intersect on its directrix. (9) If P1P2 and Q1Q2 are two focal chord of parabola are at right angle then area of quadrilateral P1Q1 and P2Q2 is minimum when chords are inclined at an angle π/4 to the axis and its minimum area is 32a2. (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 |
a-27 Min., b-33 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. |
a-31 Min., b-40 Min., c-23 Min. |
| 05 | Questions based on tangents, common tangents of two curves, Properties of tangents : P1, P2, P3, P4 |
a-40 Min., b-40 Min. |
| 06 | Properties of tangents: P5, P6, P7, P8 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, P1, P2, P3 (a, b, c, d), P4, P5 . |
a-32 Min., b-29 Min., c-28 Min. |
| 07 | Properties of Normal- P6 , P7 (a, b), P8, P9- Reflection property, P10, P11 (a, b, c) P-11- 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 |
a-38 Min., b-20 Min., c-42 Min., d-34 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. |
a-38 Min., b-31 Min., c-30 Min., d-25 Min. |
| 09 | Basic questions on ellipse and hyperbola, Questions based on Locus, Questions based on Parametric coordinates. |
a-36 Min., b-34 Min., c-32 Min., d-18 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., b-47 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. |
a-43 Min., b-39 Min., c-14 Min. |
| 12 | Questions based on normal of ellipse Hyperbola, Reflection Property of ellipse - Hyperbola, Asymptotes of Hyperbola and conjugate Hyperbola, Properties of Asymptotes, Questions. |
a-26 Min., b-44 Min., c-34 Min. |
| 13 | Rectangular (Equilateral) Hyperbola, Rectangular Hyperbola considered coordinate axes as its asymptotes, its all parameters, tangents and normals, Questions. |
a-32 Min., b-31 Min. |
| Lecture# | Description | Duration |
| 01 | Introduction of factorial n ( ⌊n or n!) , nCr, nPr, Physical interpretation of n!, nCr, nPr. | 19 Minutes |
| 02 | Fundamental - Principles of counting (i) Multiplication - Rule (ii) Addition- Rule Basic Questions based on multiplication and addition-Rule; Sample-space. |
a-51 Min., b-49 Min. |
| 03 | Questions, Number Problems. | a-40 Min., b-35 Min. |
| 04 | Number problems based on divisible by 3, 4, 5, 25, Theorem-1: Selection and Permutation of r things out of n. Theorem-2 : Permutation of n things in which some things are of same kind. |
a-46 Min., b-28 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”. |
a-42 Min., b-25 Min., c-35 Min. |
| 06 | Rank (Position) of a word or numbers, sum of the numbers formed (No repetition or when repetition allowed), Circular Permutation. |
a-35 Min., b-33 Min., C-35 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. |
a-48 Min., b-57 Min. |
| 08 | Groupings & distribution of n differents things into groups or bundles. | a-30 Min., b-29 Min., c-27 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 co-prime. |
a-48 Min., b-45 Min., c-14 Min. |
| 10 | Multinomial theorem of permutation and combination, Beggar’s Method | a-45 Min., b-43 Min. |
| 11 | Questions based on multinomial theorem, Dearrangement of n different things. | a-31 Min., b-23 Min. |
| 12 | Miscellaneous questions | a-33 Min., b-34 Min. |
| 13 | Miscellaneous questions | a-30 Min., b-17 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. |
a-43 Min., b-28 Min., c-23 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. |
a-48 Min., b-38 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 vice-versa. |
a-41 Min., b-29 Min. |
| 04 | Questions based on Properties of Modulus, conjugate, argument of complex number and modulus inequalities | a-46 Min., b-47 Min. |
| 05 | Geometrical meaning of arg(z) = θ. Solving questions graphical, cube-roots of unity, cube-roots of –1, Properties, Questions based on cube roots of 1 and cube roots of –1. |
a-46 Min., b-39 Min., c-29 Min. |
| 06 | nth roots of unity, Properties, Questions based on nth roots of unity, rotation theorem (Geometrical interpretation of ei θ). Questions based on Rotation theorem. |
a-41 Min., b-21 Min., c-44 Min. |