| Subject | No. of Chapters | No. of Lectures Taught | Solved Problems | No. of Hours |
|---|---|---|---|---|
| Physics | 20 | 311 | 381 | 60 |
| Chemistry | 27 | 389 | 638 | 100 |
| Maths | 19 | 384 | 550 | 100 |
| PCM-Combo | 66 | 1084 | 1569 | 260 |
| Physics and Measurement |
| Standards of Quantities, Number Notation, Fundamental and Derived Quantities, Prefixes for Powers of Ten |
| Dimensional Analysis, Conversion of Units |
| Significant Figures, Uncertainty in Measurements |
| Errors in Measurement and Few Problems based on it |
| Problems |
| JEE-MAINS-Problems |
| Kinematics |
| Introduction to Kinematics and Few Definitions |
| Reference Systems, Position Vector and a Problem |
| Distance, Displacement and Examples related to them |
| Motion in Straight Line and a Problem Based on It |
| Basic Problems Based on Motion in a Straight Line |
| Uniform and Non-uniform Motion: Speed |
| Velocity, Differences b/w Speed and Velocity and a problem based on Velocity |
| Uniformly Accelerated Motion and a problem |
| Equations of Kinematics and a Problem |
| Free Fall and its Examples |
| Motion Graphs and a Problem Based on it |
| Problems in Kinematics in one dimension |
| Scalars and Vectors, Vector Addition, Vector Subtraction, Components of Vectors, Zero Vector and Unit Vectors |
| Product of Vectors: Scalor and Vector Products |
| Relative Motion, Relative Velocity and a problem based on it |
| Problems in Relative Velocity |
| Motion in a Plane and a problem |
| Projectile Motion and Two Problems based on it |
| Uniform Circular Motion and a Problem based on it |
| JEE-MAINS-Problems |
| Laws of Motion |
| Newton's Law's of Motion, Common Types of Forces and Few Problems |
| Equilibrium of Concurrent Forces, Lami's Theorem |
| Applications of Newton's Second Law |
| Friction, Coloumb's laws of Friction, Types of friction |
| Problems based on Friction |
| Pseudo Forces, Inertial and Non-Inertial Forces and a Problem |
| Dynamics of Uniform Circular Motion: Conical Pendulum, Horizontal Curve |
| Dynamics of Uniform Circular Motion:Banked Curves, Vertical Circular Motion, Non-Uniform Circular Motion |
| JEE-MAINS-Problems |
| Work Power Energy |
| Introduction to Work, System and Environment |
| Work Done by Multiple Forces, Kinetic Energy, Work Energy Theorem and a problem |
| Potential Energy and Its Types, Conservation of Energy and a Problem |
| Conservative and Non-conservative Forces and a Problem |
| Conservative Forces and Potential Energy and Relationship b/w them and a Problem |
| Power and Problems |
| Introduction to Collisions and a Problem |
| Elastic Collision, One Dimensional Collision and a Problem |
| Two Dimensional Collision and a Problem |
| JEE-MAINS-Problems |
| Rotational Motion |
| Center of Mass, Co-ordinates of Center of Mass and Motion of Center of Mass |
| Rotational Kinematics |
| Rotational Kinetic Energy and Moment of Inertia of some bodies |
| Parallel Axis Theorem and a problem |
| Radius of Gyration, Perpendicular Axis Theorem |
| Torque and its illustration |
| Equilibrium of Rigid Body and a Problem |
| Work in Rotational Motion, Work Energy Theorem and a Problem |
| Angular Momentum and its Illustration |
| Conservation of Angular Momentum and a Problem |
| Rolling Motion and K.E. of a rolling body |
| JEE-MAINS-Problems |
| Gravitation |
| Universal Law of Gravitation and one problem |
| Acceleration Due to Gravity, Variation of g due to height and depth and few problems |
| Kepler's Laws of Planetary Motion and Few Problems |
| Gravitational Field ,Gravitational Potential and Few Problems |
| Energy in Satellite Motion, Escape Speed , Orbital Velocity and Few Problems |
| Geo-Stationary Satellites and Few Problems |
| JEE-MAINS-Problems |
| Current Electricty |
| Current and Drift Velocity |
| Relation b/w Electric Current and Drift Velocity, Current Density ,Ohm's Law and Conductivity |
| Resistance and Resistivity and their Illustration |
| Cells - Nature and Combination |
| Kirchoff's Law and Applications, Wheatstone Bridge |
| Concept of Symmetry and Equipotential Points |
| Potentiometer and applications |
| Heating Effect of Current and Fuse Wire |
| Problems and JEE-MAINS-Problems |
| Magnetic Effect of Current and Magnetism |
| Magnetic Effect of Current, Ampere's Swimming Law, Biot Savart Law and its Applications (Straight Wire) |
| Biot Savart Law Applications (Square and Rectangular Wires) |
| Biot Savart Law Applications (Circular Wire) |
| Amperes Circuital Law and Applications(Soleniod) |
| Amperes Circuital Law Applications (Toroid and Thick Wire) |
| Force of Magnetic Field |
| Path of Charge Particle in a Magnetic Field |
| Charged Particle entering a magnetic Field at a Certain Angle, Force on a Current Carrying Wire Placed in a Magnetic Field |
| Force Between Two Long Straight Parallel Wires |
| Torque on a Current Carrying Loop Placed in a Uniform Magnetic Field |
| Conversion of Galvanometer into Ammeter and Voltmeter |
| Magnets and Magnetism |
| Magnetic Material, Magnetic Dipole, Magnetising Field Intensity and few other definitions |
| Classification of Magnetic Materials |
| JEE-MAINS-Problems |
| Problems |
| Electrostatics |
| Coulomb's Law, Principle of Superposition, Field Due to a Point Charge |
| Continuous Charge Distribution |
| Electric Field Lines and Potential Energy |
| Potential Energy and Electrostatic Potential |
| Concept of Electric Potential and Equipotential Surfaces |
| Electric Dipole and Dipole Moment |
| Relationship b/w torque and dipole Moment |
| Gauss' Law and Electric Flux |
| Problems in Electrostatics |
| Problems on Gauss' Law |
| Introduction of Capacitor and Capacitance |
| Spherical Capacitor and Expression for its Capacitance |
| Cylindrical Capacitor and Expression for its Capacitance |
| Combination of Capacitors: Series Combination |
| Combination of Capacitors: Parallel Combination and Example |
| Energy Stored in Parallel Plate Capacitor |
| Problems on Gauss' Law |
| Dielectrics |
| Problems on Capacitor |
| JEE-MAINS-Problems |
| Properties of Solid and Liquids |
| Elasticity, Stress, Strain and Hooke's Law |
| Elastic Potential Energy |
| Fluid |
| Pascal's Law |
| Archimedes' Principle, Turbulent Motion, Reynolds Number |
| Equation of Continuity, Bernoullis' Principle |
| Application of Bernoullis' Principle and Equation of Continuity, Torricelli's Theorem, Venturi Tube |
| Problems on Fluids |
| Surface Tension |
| Excess Pressure inside an air bubble |
| Capillarity, Contact Angle, Capillary Rise |
| Viscosity, Stoke's Law |
| Terminal Velocity and Expression for it |
| Problems on Surface Tension |
| Problems on Solids |
| JEE-MAINS-Problems |
| Optics |
| Optics, Reflection of light at smooth surfaces, Laws of Reflection |
| Spherical Mirrors, Pole of a mirror, Focus, Paraxial Approximation |
| Image Tracing, Sign Convention |
| Spherical Mirror Formula |
| Extended Objects and Lateral Magnification |
| Refraction From Plane Surface, Snell's law, Total Internal Effect, Optical Fiber |
| Refraction From Plane Surface |
| Study of Prism |
| Refraction From Spherical Surface |
| Magnification |
| Introduction to Lenses |
| Lens Maker Formula |
| Compound Microscope and Astronomical Telescope |
| Dispersion And Deviation |
| Law of Refraction From Huygens Principle |
| Interference |
| Youngs Double Slit Experiment |
| Concept of Optical Path |
| Diffraction, Polarisation |
| JEE-MAINS-Problems |
| Problems |
| Oscillation and Waves |
| Introduction to Simple Harmonic Motion |
| SHM - Constants of Motion, Time period |
| SHM - Kinetic and Potential Energy, Expression for the time-period of a Simple Pendulum |
| Examples of SHM and some Problems |
| Problems on SHM |
| Damped Harmonic Oscillator, Physical and Torisonal Pendulum |
| Introduction of Waves and Classification of Waves |
| Representation of a Travelling Wave |
| Sinusoidal Wave and Expression for the velocity of a Wave |
| Principle of Superposition |
| Standing Waves - Concept |
| Standing Waves on String fixed at both the Ends |
| Standing Waves on String fixed at one End and free at another end |
| Standing Wave of Sounds |
| Standing Wave of Sounds in Air Coloumns open at both ends, Beats |
| Doppler's Effect |
| Problems |
| JEE-MAINS-Problems |
| Electromagnetic Waves |
| Introduction to EMW, Maxwell's Equations |
| Characteristics of EMW |
| EM Spectrum and Applications of EM Waves |
| JEE-MAINS-Problems |
| Electromagnetic Induction |
| Transient Current (LR Circuits), Growth of Current |
| Decay of Current (LR Circuits), Transient Current (CR Circuits) |
| Faraday's and Lenz's Law |
| Motional EMF |
| Mutual and Self Induction |
| Eddy Current |
| A.C. Introduction |
| Circuits containing Resistor only and Circuits containing Inductor only |
| Circuit containing Capacitor only and LCR Series Circuit |
| Resonant Circuits, Q-Factor |
| AC Devices: AC Generator and Transformer |
| JEE-MAINS-Problems |
| Problems |
| Electronic Devices |
| Energy Bands in Solids, Band Theory, Semiconductors |
| Extrinsic Semiconductor and its Electrical Conductivity |
| P-n Junction, Forward and Reverse Biasing |
| Applications of P-n Junction: PN junction as a Rectifier |
| Photodiode, LED, Solar Cell, Zener Diode |
| Transistor- Amplifier |
| Transistor- Oscillator and Switch |
| Logic Gates |
| JEE-MAINS-Problems |
| Problems |
| Communication System |
| Elements of a Communication System |
| Modulation, Amplitude Modulation |
| Mathematical Analysis of Amplitude Modulated Wave, Band Pass Filter |
| Propagation of Electromagnetic Waves, Surface and Sky Wave Propagation, Space wave Propagation, Satellite Communication |
| Problems |
| Dual Nature of Matter and Radiation |
| Photons, Photoelectric Effect, Hallwards and Leonards Observation |
| Stopping Potential, Failure of Wave Theory, Einstein's Equation of Photo Electric Effect |
| Wave Nature of Matter and de Broglie's Hypothesis, de Broglie Wavelength |
| Davisson Germer Experiment and Bragg's Law |
| X-rays and X-ray Spectrum |
| JEE-MAINS-Problems |
| Atoms and Nuclei |
| Models of Atom, Rutherford's α- Scattering Experiment, Impact Parameter |
| Bohr's Model, Expressions for Radius, Velocity and Energy of an atom |
| Hydrogen Spectrum, Absorption Spectrum, Excitation and Ionization Potential, Limitations of Bohr's Model |
| Nuclei, Nuclear Density, Nuclear Forces, Nuclear Stability, Isotopes, Isotones, Isobars and Isomers |
| Activity and Average Life of Radioactive Substances, Nuclear Reaction |
| JEE-MAINS-Problems |
| Thermodynamics |
| Heat and Thermodynamics, Thermal Expansion, Co-efficient of Expansion |
| Thermal Expansion of Solids, Thermal Stress |
| Thermal Expansion of Liquids and Gases |
| Thermodynamics, Work Done in Thermodynamic System |
| Zeroth and First Law of Thermodynamics, Cyclic Process, Isothermal, Isochoric and Isobaric Process |
| Adiabatic Process and Isolated System |
| Second Law of Thermodynamics, Heat Engine and its Efficiency, Carnot Engine |
| Isothermal Expansion and Compression, Adiabatic Expansion and Compression,Carnot Theorem, Coefficient of Performance |
| Transmission of Heat: Thermal Conduction and Convection |
| Thermal Radiation, Emmisive Power, Stefan's Law, Newton's Law of Cooling, Energy Distribution of Black Body Radiation, Wien's Displacement Law and Solar Constant |
| JEE-MAINS-Problems |
| Kinetic Theory of Gases |
| Gas Laws: Boyle's Law, Charles' Law and Gaylussac's Law |
| Kinetic Theory of Gases, Pressure Due to an ideal Gas |
| Kinetic Interpretation of Temperature, Average Kinetic Energy per Molecule of a Gas |
| Proof of Gas Laws with the help of Kinetic Theory of Gases, Standard Gas Equation, Avogadro's Law, Graham's Law of Diffusion |
| Avogadro's Number and Concept of Mean Free Path |
| Degrees of Freedom |
| Law of Equipartition of Energy |
| JEE-MAINS-Problems |
| Some Basic Concepts in Chemistry |
| Measurement of Quantities and their SI Units, Relation between centigrade scale and fahrenheit scale |
| Significant figures and rule for rounding off the figures |
| Laws of Chemical Combinations, numericals |
| Cannizzaros Principle - Empirical and Molecular Formulae, problems |
| Mole Concept |
| Problems on mole concept |
| Concentration of solution, molarity, molality, normality, equivalent weight |
| Double decomposition and electrolysis method, calculation of strength |
| Numericals |
| Types of titration, numericals |
| Back Titration and Redox Titration, numericals |
| Problems and JEE-MAINS-Problems |
| States of Matter |
| Gas Laws, dalton law of partial pressure |
| Grahams Law of Diffusion and Molecular Speed |
| Postulates of Kinetic Theory of Gases and their Non Ideal Behavior |
| Some Noteworthy Points, non ideal behaviour, equation of state, molecular collision, heat capacity of gas |
| Some Noteworthy Points, gas laws, dalton law of partial pressure, partial pressure and mole fraction, liquefaction of gases |
| Liquid State, properties of liquid |
| Solid State-Introduction and Percentage of Volume Occupied by Atoms |
| Calculation of Density, numericals |
| Difference between elements and compounds, numericals, cordination number, imperfection in solids, stoichiometric and non stoichiometric defects |
| Stoichiometric and non stoichiometric defects |
| Properties of Crystals |
| Some Important Points, wustite structure, fluoride and anti fluoride structure, normal spinal structure, inverse spinal structure, isotropic and N-isotropic properties |
| Elements of symmetry, law of rational indices, miller indices, |
| Problems and JEE-MAINS-Problems |
| Atomic Structure |
| Atoms, Discovery of Sub Atomic Particles - Bohr Theory |
| Rydberg Equation and Hydrogen Spectrum |
| Failure of Bohrs Theory and Modern Structure of Atoms, quantum numbers |
| Rules for Filling Electrons in Sub orbits |
| Hunds Rule, Paulis Principle |
| Numericals on Dual Nature of Matter |
| Schrodinger Wave Equation and the Plots of Probability of Electrons vs r |
| Problems |
| JEE-MAINS-Problems |
| Chemical Bonding Molecular Structure |
| Chemical bond, ionic bond, characterstics of ionic bond, lattice energy, born haber cycle |
| Some Important Points on Ionic Compound, fajan rule |
| Covalent Bond, characterstics of Covalent Bond, overlapping of orbitals theory |
| Overlapping theory, theory of Hybridization |
| sp2, sp3 hybridization |
| sp3d, sp3d2 hybridization |
| Examples of sp3d2, sp3d3 hybridization |
| Types of Hybridization |
| VSEPR Theory |
| Partial Polar Bonds |
| Dipole moment |
| Characteristics of a Bond, factors effecting bond energy, types of bond, bond angle |
| Coordinate Bond and Failure of Octet Theory |
| Molecular Orbital Theory: valence bond theory, molecular orbital theory, |
| Molecular Orbital Theory: Energy level diagrams, bond order, shapes of molecular orbitals |
| Hydrogen Bond, effects of hydrogen bonding |
| Resonance |
| Metallic Bond |
| Problems |
| JEE-MAINS-Problems |
| Thermodynamics |
| Introduction and Terms used in Thermodynamics |
| Enthalpy, types of enthalpies |
| Enthalpy of combustion, enthalpy of neutralization, solution, hydration, fusion, vapurization, sublimation, |
| Numericals on Enthalpy |
| Bond energy, diff between bond energy and bond dissociation energy, numericals |
| Bond Energy and its Numericals, kirchoff's equation |
| Spontaneity and Entropy |
| Entropy change of an ideal gas, numericals, free energy, physical significance of free energy |
| Numericals |
| Solution |
| Solutions, types of solutions, Methods for Expressing Concentration |
| Methods for Expressing Concentration |
| Colligative Properties, numericals |
| Osmosis, diffusion, osmotic pressure and its applications |
| Equation for osmotic pressure, numericals, volatility |
| Raoult's Law and its Numericals |
| Problems and JEE-MAINS-Problems |
| Chemical Equilibrium |
| Physical Equilibrium |
| Chemical Equilibrium - Equilibrium Constant (Kc) |
| Relation b/w Kp and Kc |
| Degree of Dissociation and Calculation of Kc |
| Calculation of Kp |
| Heterogeneous Equilibrium |
| Factors Affecting Equilibrium |
| Ionic Equilibrium, Electrolyte and Ostwald Dilution Law, numericals |
| Acid Base Concept |
| Ionic Product of Water and pH, numericals |
| Determination of pH of Weak Acid, Base and Buffer Solution |
| Henderson Equation for Basic Buffer and Hydrolysis, importance of buffer solution |
| Hydrolytic Constant - Degree of Hydrolysis - Relation b/w KH - KW - Ka and Kb |
| Determination of pH of Salts |
| Common Ion Effect, solubility and Solubility Product |
| Application of Solubility Product and Numericals |
| Some Noteworthy Points |
| Problems and JEE-MAINS-Problems |
| Redox Reaction and Electrochemistry |
| Oxidation, Reduction and Redox Reactions |
| Oxidation Number and its Calculation |
| Calculation of Oxidation Number and its Application |
| Balancing of Equation by Oxidation Number Method, numericals |
| Balancing of Equation by Ion Electron Method, examples |
| Electrolytic and Metallic Conduction and Conductance in Electrolytic Solutions, types of conductances |
| Specific and Molar Conductivities, numericals |
| Kohlrauschs Law and its Applications, numericals |
| Electrochemical Cells, numericals |
| Importance of porous vessel, Salt Bridge and Electrode Potential |
| Factors Affecting Electrode Potential and Electrochemical Series |
| Determination of Standard Electrode Potential |
| Commercial cells, Dry Cells and Lead Accumulator |
| Fuel Cells, Corrosion and its Prevention |
| Problems and JEE-MAINS-Problems |
| Chemical Kinetics |
| Rate of Reaction. Law of mass action, difference between rate and rate constant |
| Factors affecting rate of reactions, numericals, photosynthesis, complex reactions and elementary reactions, order and molecularity |
| Difference b/w Order and Molecularity, Units of Rate Constant, integration of zero and first order |
| Determination of Order of Reaction using Half Life and Initial Rate Method, numericals |
| Effect of Temperature Arrhenius Theory, Determination of Activation Energy, numericals |
| Collision Theory and Numericals |
| Problems and JEE-MAINS-Problems |
| Surface Chemistry |
| Applications of Adsorption |
| Colloidal States, Classification of Colloids |
| Classification of Colloids |
| JEE-MAINS-Problems |
| Preparation of Colloidal Solution, Condensation method |
| Preparation of Colloidal Solution and Purification of Colloidal Solution |
| Properties of Colloidal Solution |
| Catalysis |
| Problems |
| Classification of Elements and Periodicity in Properties |
| Classification of elements and periodicity in properties, defects of mendeleev periodic table |
| Nomenclature of elements with atomic number > 100 |
| Periodic Classification - Electronic Configuration and Ionization Energy |
| Negative Electron Gain Enthalpy |
| Electronegativity, Factors affecting electronegativity |
| Problems |
| General Principles and Processes of Isolation of Metals |
| Modes of Occurrence of Metals, Minerals and Ores |
| Metallurgy of Cu |
| Metallurgy of Fe |
| Metallurgy of Al and Zn |
| Methods of Refining |
| Thermodynamics of Extraction of Metals |
| Problems |
| Hydrogen |
| Position of Hydrogen in Periodic Table - Isotopes |
| Preparation, Properties and Uses of Hydrogen |
| Hydrides, Types of hydrides |
| Water, physical and chemical properties, structure |
| Hard Water and Soft Water |
| Manufacture and structure of Hydrogen Peroxide |
| Uses of Hydrogen Peroxide |
| Heavy Water |
| Hydrogen as a Fuel, advantages of hydrogen fuel |
| Problems |
| s-Block Elements |
| Introduction, atomic size, ionic size, ionization energy, electron affinity, electropositivity character, reactivity with air and water |
| Stability of hydroxides, thermal stability of carbonates, nature of chlorides, hydration, reducing agent, reaction with ammonia and nitrogen, reactivity towards hydrogen and halogens |
| Anomalous Behaviour of Lithium (Li) |
| Alkaline Earth Metals |
| Anomalous Behaviour of Beryllium (Be) |
| Diagonal Relationship b/w (Li and Mg - Be and Al) |
| Preparation and Properties of Sodium Hydroxide, nelson cell |
| Preparation and Properties of Sodium carbonate |
| Preparation and Properties of Calcium Oxide and Calcium Hydroxide |
| Plaster of Paris and Cement |
| Biological Importance of Na - K - Mg and Ca |
| Problems |
| p-Block Elements |
| Introduction on p-Block Elements |
| Group-13,14,15 & 16(General Discussion) |
| Group-13 (Borax - Boric Acid - BF3 - AlCl3 - Alum) |
| Properties of Sulphur Dioxide and Uses |
| Oxoacids of Sulphur |
| Properties of Sulphuric Acid |
| Oxoacids of Halogens, interhalogens compounds |
| Anomalous Behaviour of Fluorine |
| Preparation of Chlorine |
| Preparation and Properties of HCl |
| Group-18 (Occurrence and Uses of Noble Gases) |
| Preparation of Fluorides and Oxides of Xenon |
| Problems |
| d and f Block Elements |
| Introduction, General Characteristics of Transition Elements |
| General Characteristics of Transition Elements |
| Preparation and Properties of KMnO4 |
| Uses of KMnO4 |
| Preparation and Properties of K2Cr2O7 and its Uses |
| Inner Transition Elements - Lanthanides |
| Inner Transition Elements - Actinides |
| Problems |
| Co-Ordination Compounds |
| Introduction - Werners Theory - Nomenclature |
| Nomenclature of anionic and cationic complexes |
| Nomenclature |
| Bridge Ligands and Isomerism in Complexes |
| Solvate isomerism, geometrical isomers |
| Valence Bond Theory, magnetic properties of coordination compounds, limitations of valence bond theory |
| Crystal Field Theory |
| Colour in Complexes and Limitations of Crystal Field Theory |
| Application of Complexes |
| Problems |
| Environmental Chemistry |
| Environmental Pollution |
| Atmospheric Pollution |
| Tropospheric Pollutants |
| Global warming and green house effects, acid rain |
| Particulate Pollutants |
| Stratospheric Pollution |
| Water Pollution |
| Soil Pollution |
| Problems |
| Purification and Characterisation of Organic Compounds |
| Methods of Purification: Recrystallization, sublimation, distillation |
| Methods of Purification: Differential extraction, chromatography |
| Qualitative Analysis |
| Leibig's method, duma's method, numericals |
| kjeldahl's method, numericals |
| victor meyer's method, numericals |
| Problems |
| Some Basic Principles of Organic Chemistry |
| Tetravalency of Carbon, Hybridization |
| Classification of Organic Compounds based on Functional Groups |
| Homologous Series, Isomerism |
| Isomerism: Metamerism |
| IUPAC Nomenclature of Aliphatic Compounds: hydrocarbons |
| IUPAC Nomenclature of Aliphatic Compounds |
| Nomenclature of compounds containing more than one similar functional groups |
| Nomenclature of compounds containing more than one different functional groups |
| Alicyclic compounds |
| IUPAC Names of Organic Compounds Represented by Bond-Line Notations |
| Some Important Common or Trivial Names |
| Problems on Nomenclature |
| Covalent Bond Fission, Electron Displacement, Electromeric effect, Inductive effect |
| Resonance and its Effects |
| Hyperconjugation |
| Electrophiles and Nucleophiles |
| Substitution Reactions |
| Substitution Reactions, Halogenation |
| Addition Reactions |
| Elimination reactions |
| Problems |
| Hydrocarbons |
| Nomenclature and Preparation of Alkanes |
| Preparation of Alkanes: Wolff kishner reduction, Clemmenson reduction |
| Preparation of Alkanes: Decarboxylation of acid, Kolbe's electrolytic method, |
| Properties of Alkanes: Isomerization |
| Properties of Alkanes: cracking, conformation |
| Geometrical Isomerism |
| Properties of Alkenes: Kharash effect |
| Properties of Alkenes |
| Properties of Alkenes: hydroxylation reaction, polymerization, ozonolysis |
| Nomenclature of Alkynes |
| Nomenclature and Preparation of Aromatic Hydrocarbons |
| Properties of Benzene |
| Properties of Benzene, reaction of benzene |
| Ortho-Para and Meta Directive Influences |
| Problems |
| Organic Compounds Containing Halogens |
| Nomenclature:Haloalkanes and haloarenes |
| Nomenclature |
| Properties of Alkyl Halides |
| Properties of Aryl Halides |
| Differentiation b/w various types of Halides |
| Preparation and Properties of Dihalides |
| Preparation and Properties of Trihalides |
| Preparation and Properties of Carbon Tetrachloride |
| Freons and DDT |
| Stereochemistry in Substitution Reactions of Alkyl Halides |
| Stereospecific and Stereoselective Reactions |
| Problems |
| Organic Compounds Containing Oxygen |
| Nomenclature of Alcohols |
| Nomenclature of Phenols |
| Preparation of Alcohols: hydroboration, oxomercuration and demercuration |
| Preparation of Alcohols: mechanism of acid and alkaline hydrolysis |
| Preparation of Phenols |
| Identification of Primary, Secondary and Tertiary Alcohols |
| Properties of Phenols |
| Properties of Phenols: Reimer tiemann reaction, kolbe's schmidt reaction |
| Properties of Phenols: phthaline reaction |
| Properties of Phenols |
| Sulfonation of phenols, Nomenclature of Ethers |
| Preparation and Properties of Ethers |
| Nomenclature of Aldehyde and Ketones |
| Nomenclature and Preparation of Aldehyde and Ketones |
| Properties of Aldehyde and Ketones |
| Nomenclature of Carboxylic Acids |
| Preparation of Carboxylic Acids |
| Properties of Carboxylic Acids |
| Problems |
| Organic Compounds Containing Nitrogen |
| Nomenclature of Primary Amines |
| Nomenclature of Secondary Amines |
| Properties of Amines |
| Differentiation of Primary, Secondary and Tertiary Amines |
| Diazonium Salts |
| Problems |
| Polymers |
| General Introduction and Classification of Polymers |
| Classification of Polymers |
| Classification of Polymers: laderer manasse reaction |
| Problems |
| Bio-Molecules |
| General Introduction and Importance of Biomolecules |
| Carbohydrates and Its Classification |
| Polysaccharides |
| Proteins |
| Enzymes and Vitamins |
| Nucleic Acids |
| Problems |
| Chemistry in Everyday Life |
| Chemicals in Medicines: types of analgesic |
| Chemicals in Food and Cleansing Agents |
| Problems |
| Complex Number |
| Introduction on complex numbers |
| Arithmetical Operation on Complex Number, Problems |
| Conjugate of Complex Number, Problems |
| Modulus of Complex Number |
| Complex Number in the Argand Plane |
| Triangle Inequality of Complex Number |
| Complex Number in the Polar Form |
| Problems on Complex Number |
| De Moivres Theorem, Problems |
| Cube Root of Unity, Problems |
| nth Root of Unity, Problems |
| nth Root of Complex Number, Problems |
| Vector Form of Complex Number |
| Geometrical Results with Complex Number, Problems |
| Area of Triangle having Complex Coordinates, Problems |
| Equilateral Triangle, Problems |
| Perpendicular Bisector, Problems |
| Circles with Complex Coordinates, Problems |
| Problems on Circles with Complex Coordinates |
| Complex number in argand plane, Problems |
| Complex Equations, Problems |
| Quadratic Equation |
| Introduction on Quadratic Equation, Problems |
| Nature of Roots, Problems |
| Relation between Roots and Coefficient, Problems |
| Quadratic Inequalities, Problems |
| Examples on Quadratic Inequalities |
| Cubical Equations, Problems |
| Cubical Inequations |
| Miscellaneous Examples |
| Geometric Interpretation |
| Problems on Geometric Interpretation |
| Position of Roots |
| Problems on Position of Roots |
| General Problems |
| Matrices and Determinant |
| Properties of Determinants |
| Theory of Linear Equations |
| Problems on System of Equations |
| Introduction of Matrices |
| Solution of Non Homogeneous Equations |
| Permutation and Combination |
| Introduction |
| Elementary Problems on Permutation |
| Special Cases of Permutation |
| Definition of nPr , Problems |
| Conditional Permutation |
| Seating Arrangement with Permutation |
| Permutation under Repetition |
| Rank of a Word and Problems |
| Properties of nCr |
| Number of Divisors |
| Number of Selections |
| Distribution for Identical and Non-Identical Objects |
| Binomial Theorem and Its Application |
| Introduction of Binomial Theorem |
| General Terms and Number of Term |
| Binomial with Multinomial Theorem, Problems |
| Coefficient for Grouped Expansion, Problems |
| Finding Middle Term of a Binomial Series, Problems |
| Finding Greatest Term of Binomial Series, Problems |
| Sum of Coefficients of Binomial Series, Problems |
| Identities of Binomial Coefficient, Problems |
| Sequences and Series |
| Introduction of Arithmetic Progression (A.P.) |
| Properties of Arithmetic Progression (A.P.), Problems |
| Introduction of Geometric Progression (G.P.) |
| Problems on Geometric Progression (G.P.) |
| Introduction of Harmonic Progression (H.P.) |
| Problems on Harmonic Progression (H.P.) |
| Arithmetic Geometric Progression, Problems |
| Sum of Natural Numbers, Problems |
| Special Sequences: Problems |
| Function |
| Introduction, Different types of functions |
| Mathemiatical definition of function |
| Range and Co-domain |
| Elementary Trigonometric Function |
| Exponential Functions |
| Logarithmic Functions |
| Greatest Integer function, fractional part function |
| Even Function and Odd Function |
| Examples and Problems on Even and Odd Function |
| Periodic Function and non-periodic functions |
| Important aspects of periodic functions and Problems |
| Problems on Domain and Range |
| Types of Function and Problems |
| Inverse Function |
| Problems on Inverse Function |
| Composite Function, Problems |
| Limit - Continuity and Differentiability |
| Introduction and Representation of Limits |
| Conceptual Problems of Limit |
| Important formulae of limits |
| Expansion of some standard functions, Formula Base Problems on Limit |
| More important formulae on limits, Formula Base Problems on Limit |
| Logarithimic formula on limits |
| Problems based on x- Approaches to Infinity |
| Limits Problems on Exponential Function |
| L Hospital Rule of Limit, Problems |
| Introduction of Continuity |
| Introduction of Differentiability |
| Problems on Differentiability |
| Introduction of Differentiation |
| Application of Derivatives |
| Introduction- Tangent and Normal and Problems |
| Angle Between Two Curves, orthogonal curves |
| Introduction- Increasing and Decreasing Functions |
| Problems on Maxima and Minima |
| Practical Problems |
| Rolle's Theorem |
| Problems on Rolle's Theorem |
| Lagrange Theorem ( Mean Value Theorem), relation between rolle's theorem and lagrange mean value theorem |
| Problems on Lagrange Theorem |
| Inflection Point |
| Indefinite Integral |
| Introduction of Indefinite Integral |
| Substitution formula |
| Elementary Problems |
| Integral Formulae |
| Problems on Formulae |
| Integral by parts |
| Special Formula of integral |
| Problems on Special Formula |
| Integration by Partial Fraction |
| Problems on Partial Fraction |
| Problems |
| Definite Integral |
| Introduction:- Property-I and II |
| Properties-III and IV |
| Problems on Property: I- II- III and IV |
| Property-V and Problems |
| Property-VI |
| Problems on Property-VI |
| Property-VII |
| Problems on Property-VII |
| Property-VIII and Problems |
| Property-IX and Problems |
| Problems on Property-IX |
| Limit of sum, problems |
| Introduction of Area under the Curve |
| Area enclosed by two curves |
| Problems on Area under the Curve |
| Differential Equation |
| Order and Degree of Differential Equations, problems |
| Formation of Differential Equations |
| Problems on Formation of Differential Equations |
| Solution of Differential Equations, problems |
| Method of Solving Differential Equations |
| Solution of Homogeneous and Non Homogenous Differential Equations |
| Solution of Linear Differential Equation |
| Straight Lines |
| Distance Formula |
| Problems on Distance Formula |
| Section Formula |
| Problems on Centroid of Triangle |
| Incenter of Triangle, problems |
| Area of Triangle, problems |
| Collinear Points, problems |
| Circumcenter and Orthocenter of Triangle |
| Slope of Line and Equation of Line |
| Equation of line, Normal of Line |
| Angle between Two Lines, problems |
| Problems on Angle between Two Lines |
| Concurrent Lines, problems |
| Problems based on Distance of a Point from a Line |
| Distance between Two Parallel Lines, problems |
| Location of a Point with respect to a Line |
| Problems on Location of a Point with respect to Line |
| Equation of Family of Lines Intersecting at a Common Point |
| Problems on Equation of Family of Lines Intersecting at a Common Point |
| Mirror Image of a Point with respect to some other Point, problems |
| Equation of Angle Bisectors |
| Problems on Angle Bisectors |
| Transformation of Axes |
| Problems |
| Angle between Pair of Straight Lines, problems |
| Circles |
| Introduction of Circles, problems |
| Different forms of equation of circle, problems |
| Tangent and Normal to a Circle at a Point, problems |
| Condition of Tangency to a Circle , problems |
| Problems on Condition of Tangency |
| Problems on Tangent and Normal to a Circle |
| Tangent from an External Point, problems |
| Length of Tangent, problems |
| Chord of Contact, problems |
| Problems on Chord of Contacts |
| Chord with a Middle Point, problems |
| Polar of Point with respect to circle, equation of polars, problems |
| External and Internal touching of two Circles, problems |
| System of Circles (Intersecting at two Common Point), problems |
| System of Circles (Having Common Chord), problems |
| System of Circles (Touching each other Internally as well as Externally), problems |
| System of Circles (Intersecting a Line at Two Point), problems |
| System of Circle (Touching a Line), problem |
| Common Tangents of Two Circle touching Externally, problems |
| Common Tangents of Two Non Intersecting Circles, problems |
| Common Tangents of Two Intersecting Circles : Touching Internally and Concentric Circles, problems |
| Problems |
| Conic Section |
| Introduction of Parabola |
| General form of Standard parabola,problems |
| Tangent to a Parabola, problems, directrix |
| Normal to a Parabola, problems |
| Chord of Parabola, problems |
| Introduction of Ellipse |
| Condition of tangency, problems |
| Problems on Tangent to an Ellipse |
| Equation of tangent, problems |
| Parametric Coordinates of the Ellipse, slope of the normal, equation of tangent and normal at any parametric point, problems |
| Tangent drawn from an External Point to an Ellipse, problems |
| Introduction of Hyperbola |
| Elementary Problems on Hyperbola |
| Condition of tangency, problems |
| Equation of tangents, equation of normal drawn on the hyperbola, problems |
| Parametric Coordinates of Hyperbola, problems |
| Rectangular Hyperbola , problems |
| Problems on Hyperbola |
| Comparison between Circle: Hyperbola: Ellipse and Parabola |
| Vector Algebra |
| Introduction on vectors |
| Sum of Vectors (Triangle Law) |
| Sum of Vectors (Parallelogram Law), problems |
| Position Vector, unit vector |
| Scalar Product or Dot Product |
| Projection of a Vector, problems |
| Vector Product or Cross Product, properties and its Problems |
| Scalar Triple Product |
| Vector Triple Product |
| Three Dimensional Geometry |
| Introduction: Direction Cosines and Direction Ratios |
| Problems on Direction Cosines and Direction Ratios |
| Angle between the two Lines, problems |
| Equation of Straight Line, problems |
| Equation of planes |
| Problems on Planes |
| Angle between two Planes |
| Problems on Angle between Planes |
| Line lying in a Plane |
| Equation of a Plane Passing through Intersection of Two Planes, problems |
| CoPlanrity of two Lines |
| Probability |
| Introduction on Probability |
| Types of Event |
| Derivation of Binomial form , problems |
| Examples and problems |
| Examples with Ball Transfer |
| Special Conditions on Ball Transfer |
| Problems on Probability which has Infinite Events |
| Problems on Arrangement |
| Bayes Theorem of Probability, problems |
| Trigonometry |
| Introduction , Angle , Degree and Radian |
| Graph of sin x and cos x |
| Graph of tan x and cot x |
| Graph of sec x and cosec x |
| Allied Angles |
| Problems on Allied Angles |
| Important Formulae of Trigonometry |
| Formula based Problems |
| Problems on Maximum and Minimum |
| Trigonometric Equations |
| Trigonometric Inequations, problems |
| Inverse Trigonometric Function |
| Problems on inverse Trigonometric Function |
Mr. Pankaj Joshi, Physics
Pankaj is an IIT Delhi graduate. He is currently pursuing MS (Photonics) from KTH Stockholm, Sweden. He feels that physics is not only about solving problems but something whose methods should be put to use in all fields of life...
Mr. Rajender Shah, Physics
Mr. Rajender Shah; Senior Physics teacher and HOD (Science) at G D Goenka Public School, Vasant Kunj New Delhi for the last 10 years. He has also taught at DPS, Vasant Kunj, New Delhi. Dynamic and brilliant, Rajender Shah breathes and lives physics...
Mr. Nishu Kr. Govil, Math
Nishu has done B.Tech from AMU. He has been teaching Mathematics for almost a decade and helping students prepare for competitive examinations and helping students prepare for competitive examinations ...
Pankaj is an IIT Delhi graduate. He is currently pursuing MS (Photonics) from KTH Stockholm, Sweden. He feels that physics is not only about solving problems but something whose methods should be put to use in all fields of life. Understanding of the basic principles (which are not too many) can take one far in the understanding of physics
Nishu has done B.Tech from AMU. He has been teaching Mathematics for almost a decade and helping students prepare for competitive examinations and helping students prepare for competitive examinations. He also has experience of teaching class XI and XII syllabus to students in schools in India and abroad such as DPS Sharjah, DPS Riyadh and Indian Embassy School, Dammam, SA. He is rated as the best Mathematics teacher for AIEEE preparation.
Mr. Rajender Shah; Senior Physics teacher and HOD (Science) at G D Goenka Public School, Vasant Kunj New Delhi for the last 10 years. He has also taught at DPS, Vasant Kunj, New Delhi. Dynamic and brilliant, Rajender Shah breathes and lives physics. Popularly known as Shah Sir, his students vouch for his out of the box teaching methodology that makes physics simple and interesting to them. Having done his Masters in Physics from University of Kashmir and degree in Education from M D University, Rajender Shah followed his passion for physics by teaching, writing books and coaching students successfully for competitive exams for last 19 years. Down to earth, practical, flexible, he has the innate ability to sense the students' pulse and guide them accordingly.
| Abhilash | AIR-29, IIT-JEE’2010 |
| Vaibhav Satavan | AIR-62, IIT-JEE’2010 |
| Harshit Sihara | AIR-2, AIEEE;AIR-97, IIT-JEE’2010 |
| Smriti Irani | AIR 584, IIT-JEE’2010 |
| Nitika | 36th Rank, DPMT |
| Harshit Sihara | AIR-2, AIEEE’2010;AIR-97, IIT-JEE’2010 |
| Srinidhi K V | AIR-871, IIT-JEE’2010;State rank-22, AIEEE’2010 |
| Nikhil | 75th Rank,DPMT’2010 |
| Apeksha Nimbadia | PCM-95% Class XII, Birla Vidya Niketan, Delhi |
| Maniya Saini | 87% Class XII, Army Public School, Gurdaspur, Punjab |
| Upama Mittal | 90% Class XII, DPS, Mathura Road, Delhi |
| Shwetabh P Pranwit | Class XII, Don Bosco School, Delhi 90.2% |
| Nirmal Roul | Class XII-92% |
| Hardeek Kambli | Class XII-91% |
I am very impressed by your team’s effort to make AIEEE preparation so easy and exciting.
