JEE Exam Prep Course

JEE Exam Preparation Course

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Strengthen your IIT JEE preparation with Henry Harvin® | Get access to the top rated study materials and test series prepared by highly qualified industry experts | Practice subject wise question banks with varying difficulty levels, NCERT solutions and previous year question papers | Learn exam strategy, tips and tricks to obtain a good score in JEE | Crack IIT JEE with our Achievers batch

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About the JEE Exam Prep Course

JEE Exam Prep Course

IIT JEE is one of the most stringent entrance examinations in the entire world. In order to crack this exam with flying colors, taking up the JEE exam prep course from Henry Harvin® would be your ultimate solution. We bring a very strong body of faculty that is well-trained in delivering every core component of the curriculum. Our JEE online preparation has helped countless students in making their dreams come true.

Who Should Attend the Course?

This course can be taken by students who have just started their JEE preparation, are in the middle of their JEE preparation, or have dropped a year to exclusively prepare for JEE.

 

7 in 1 Course

  • Training:  16 Hours of Two-Way Live Online Interactive Sessions
  • Mock Test: Practice subject wise series of mock test and previous year sample questions to improve preparation & learning
  • Certification: Get Certification of JEE Exam Preparation Course from Henry Harvin® Govt of India recognized & Award-Winning Institute, and showcase expertise
  • E-Learning: Access to abundant interactive study notes, videos, recorded classes, and more
  • Masterclass: Access to 52+ Masterclass Sessions for essential soft skill development
  • Hackathons: Free Access to #AskHenry Hackathons and Competitions
  • Membership: 1-Year Gold Membership of Henry Harvin® Exam Prep Academy for the JEE Exam Preparation Course

Trainers at Henry Harvin®

  • Most respected industry experts with 12+ years of working experience and recognized by numerous organizations over the years for their work
  • They have delivered 190+ keynote classes for the JEE Exam Prep Course
  • Have delivered 250+ lectures and are currently empaneled as domain experts with Henry Harvin® Exam Prep Academy

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Become a part of the Elite Exam Prep Academy of Henry Harvin® and join the 4,60,000+ large Alumni Network Worldwide.

Benefits of Enrolling in JEE Exam Prep Course

  • Practice topic-wise Sample Questions
  • Learn how to Solve problems quickly and accurately
  • Get detailed Self-Explanatory solutions
  • Clear your Basics in Physics, Chemistry, and Mathematics 
  • Increase your Speed without losing accuracy in solving problems
  • Learn the Tips and Tricks to ace the exam
  • Avoid common JEE preparation Mistakes
  • Revise properly to maximize Score

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Curriculum For JEE Exam Prep Course

  • Paper I- Module 1: Mathematics

    1. SETS, Relations, and Functions
    • Power Set
    • Union, Intersection and Complement of sets
    • Algebra Properties of Sets
    • Into and Onto Functions
    • The Composition of Functions
    1. Complex Numbers and Quadratic Equations
    • Representation of Complex Numbers
    • Argand Diagram
    • Algebra of Complex Numbers, Modulus
    • Argument of Complex Numbers
    • Square Root of a Complex Numbers
    • Triangle Inequality
    • Quadratic Equations
    • Formation of Quadratic Equations with given roots
    1. Matrices and Determinants
    • Algebra of Matrices
    • Type of Matrices
    • Determinants
    • Matrices of Order two and three 
    • Properties of determinants
    • Evaluation of determinants
    • Area of Triangle using determinants
    • Adjoint
    • Evaluation of inverse of a square matrix using determinants and elementary transformation
    • Simultaneous Linear Equations
    1. Permutations and Combinations
    • Fundamental principle of counting
    • Permutation as an arrangement and combination as section
    • Meaning of P (n,r) and C (n,r)
    • Simple Applications
    1. Mathematical Inductions
    • Principle of Mathematical Induction
    • Simple Applications
    1. Binomial Theorem and Its Simple Applications
    • Binomial theorem for a positive integral index
    • General Term and Middle Term
    • Properties of Binomial Coefficients
    • Simple Applications
    1. Sequence and Series
    • Arithmetic and Geometric Progressions
    • Insertion of Arithmetic and Geometric means between two numbers
    • Relation between A.M and G.M sum up to n terms
    • Arithmetico-Geometric Progression
    1. Limit, Continuity, and Differentiability
    • Real-Valued Functions
    • Algebra of Functions
    • Polynomials
    • Rational Trigonometric
    • Logarithmic
    • Exponential and Inverse Functions
    • Graphs of Simple Functions
    • Limits, Continuity, and Differentiability
    • Differentiation of the sum, difference, product, and Quotient of two functions
    • Differentiation of Trigonometric, Inverse Trigonometric, Logarithmic, exponential, Composite and Implicit Functions
    • Rolle’s and Lagrange’s Mean Value Theorems
    • Application of Derivatives
    • Increasing and Decreasing Functions
    • Maxima and Minima of Functions of one variable,tangents, and Normal
    1. Integral Calculus
    • Integral as an antiderivative 
    • Fundamental Integrals involving algebraic, Trigonometric, Exponential, and Logarithmic Functions
    • Integration by Substitution by part and by partial functions
    • Integration using Trigonometric identities
    • Integral as limit of a sum
    • The Fundamental theorem of Calculus
    • Properties of Definite Integrals
    • Determining areas of the regions bounded by simple curves in standard form
    1. Differential Equations
    • Ordinary Differential Equations
    • Differential Equation order and degree
    • The Formation of Differential Equations
    • Solution of differential Equation by the method of separation of variables
    • Solution of a homogeneous and linear differential equation of the type
    1. Coordinate Geometry
    • Cartesian system of Rectangular Coordinates in a plane
    • Distance Formula
    • Sections Formula
    • Locus and its Equation
    • Translation of Axes
    • The Slope of a line
    • Parallel and Perpendicular Lines
    • Intercepts of a line on the coordinate axis

    Straight Line

    • Various forms of Equations of a line
    • Intersection of lines
    • Angles between two Lines
    • Conditions for concurrence of three lines
    • The distance of a point from a line equations of internal and external by sectors of angles between two lines coordinate of the centroid
    • Orthocentre and circumcentre of a triangle equation of the family of lines passing through the point of intersection of two lines

    Circle, Conic Sections

    • A standard form of equations of a circle the general form of the equation of a circle
    • Radius and central equation of a circle when the endpoints of a diameter are given points of intersection of a line and a circle with the center at the origin and condition for a line to be tangent to a circle equation of the tangent
    • Sections of conics
    • Equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for Y = mx +c to be a tangent and point (s) of tangency

    12: Three Dimensional Geometry

    • Coordinates of a point in space
    • The distance between two points
    • Section formula, directions ratios, and direction cosines
    • The angle between two intersecting lines
    • Skew lines
    • The shortest distance between them
    • Equations of a line and a plane in different forms
    • The intersection of a line and a plane, coplanar lines

    13: Vector Algebra

    • Vectors and scalars
    • The addition of vectors
    • Components of a vector in two dimensions and three-dimensional space
    • Scalar and vector products
    • Scalar and vector triple product

    14: Statistics and Probability

    • Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation
    • Variance and mean deviation for grouped and ungrouped data

    Probability

    • Probability of an event
    • Addition and multiplication theorems of probability
    • Bayes theorem
    • Probability distribution of a random variate
    • Bernoulli trials
    • Binomial distribution

    15: Trigonometry

    • Trigonometric identities and equations
    • Trigonometric functions
    • Inverse trigonometric functions their properties, heights, and distance

    16: Mathematical Reasoning

    • Statement logical operations or, implies, implied by, if and only if, understanding of tautology
    • Contradiction, converse, and contrapositive
  • Module 2: Physics

    1. Physics and Measurements
    • Physics, technology, and society
    • S I Units
    • Fundamental and derived units
    • Least count
    • Accuracy and precision of measuring instruments
    • Errors in measurement
    • Dimensions of Physics quantities
    • Dimensional analysis and its analysis
    1. Kinematics
    • The frame of reference
    • Motion in a straight line
    • Position- time graph
    • Speed and velocity
    • Uniform and non-uniform motion
    • Average speed and instantaneous velocity
    • Uniformly accelerated motion
    • Velocity-time
    • Position-time graph relations for uniformly accelerated motion
    • Scalars and Vectors
    • Addition and subtraction
    • Zero vector
    • Scalar and vector Products
    • Unit Vector
    • Resolution of a Vector
    • Relative Velocity
    • Motion in a plane
    • Projectile Motion
    • Uniform Circular Motion
    1. Laws of Motion
    • Force and inertia
    • Newton’s First law of motion
    • Momentum
    • Newton’s Second Law of Motion
    • Impulses
    • Newton’s Third Law of motion
    • Law of conservation of linear momentum and its applications
    • Equilibrium of concurrent forces
    • Static and Kinetic friction
    • Laws of friction
    • Rolling friction
    • Dynamics of uniform circular motion: centripetal force and its applications
    1. Work, Energy and Power
    • Work done by a content force and a variable force
    • Kinetic and potential energies
    • Work-energy theorem
    • Power
    • The potential energy of spring 
    • Conservation of mechanical energy, conservative and neoconservative forces
    1. Rotational Motion
    • Centre of the mass of a two-particle system
    • Centre of the mass of a rigid body
    • Basic concepts of rotational motion
    • A moment of a force: torque, angular 
    • Momentum
    • Conservation of angular momentum and its applications: the moment of inertia the radius of gyration
    • Values of moments of inertia for simple geometrical objects
    • Parallel and perpendicular axis theorems
    • Rigid body rotation equations of rotational motion
    1. Gravitation
    • The universal law of gravitation
    • Acceleration due to gravity and its variation with altitude and depth
    • Kepler’s law of planetary motion
    • Gravitational potential energy; gravitational potential
    • Escape velocity
    • Orbital velocity of a Satellite
    • Geostationary satellites
    1. Properties of Solids and Liquids
    • Elastic behavior, Stress-strain relationship, Hooke's Law
    • Young's modulus, bulk modulus, modulus of rigidity
    • Pressure due to a fluid column; Pascal's law and its applications
    • Viscosity Stokes' law terminal velocity, streamline, and turbulent flow
    • Reynolds number
    • Bernoulli's principle and its applications
    • Surface energy and surface tension, angle of contact, application of surface tension - drops, bubbles, and capillary rise
    • Heat, temperature, thermal expansion
    • Specific heat capacity, calorimetry; change of state,latent heat
    • Heat transfer-conduction, convection,and radiation
    • Newton's law of cooling
    1. Thermodynamics
    • Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature,heat, work, and internal energy
    • The first law of thermodynamics
    • The second law of thermodynamics: reversible and irreversible processes
    • Carnot engine and its efficiency
    1. Kinetic Theory of Gases
    • Equation of state of a perfect gas, work done on compressing a gas, Kinetic theory of gasses -assumptions, the concept of pressure
    • Kinetic energy and temperature: RMS speed of gas molecules: Degrees of freedom
    • Law of equipartition of energy, applications to specific heat capacities of gasses
    • Mean free path
    • Avogadro's number
    1. Oscillations and Waves
    • Periodic motion - period, frequency, displacement as a function of time
    • Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase: oscillations of a spring -restoring force and force constant: energy in S.H.M 
    • Kinetic and potential energies; Simple pendulum - derivation of expression for its time period: Free, forced and damped oscillations
    • Resonance
    • Wave motion
    • Longitudinal and transverse waves,speed of a wave
    • Displacement relation for a progressive wave
    • Principle of superposition of waves, a reflection of waves
    • Standing waves in strings and organ pipes, fundamental mode and harmonics
    • Beats doppler effect in sound
    1. Electrostatics
    • Electric charges: Conservation of charge. Coulomb's law forces between two point charges, forces between multiple charges: superposition principle and continuous charge distribution
    • Electric field: Electric field due to a point charge, Electric field lines. Electric dipole, Electric field due to a dipole. Torque on a dipole in a uniform electric field.
    • Electric flux. 
    • Gauss's law and its applications to find fields due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet, and uniformly charged thin spherical shell
    • Electric potential and its calculation for a point charge, electric dipole and system of charges; Equipotential surfaces, Electrical potential energy of a system of two point charges in an electrostatic field
    • Conductors and insulators
    • Dielectrics and electric polarization, capacitor, the combination of capacitors in series and parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates
    • Energy stored in a capacitor
    1. Current Electricity

     Electric current

    • Drift velocity, Ohm's law
    • Electrical resistance
    • Resistances of different materials
    • V-l characteristics of Ohmic and non-ohmic conductors
    • Electrical energy and power. Electrical resistivity
    • Color code for resistors
    • Series and parallel combinations of resistors
    • Temperature dependence of resistance
    • Electric Cell and its Internal resistance, potential difference and emf of a cell, a combination of cells in series and parallel
    • Kirchhoff’s laws and their applications
    • Wheatstone bridge
    • Metre Bridge
    • Potentiometer - principle and its applications
    1. Magnetic Effects of Current and Magnetism

    BIOT

    • Savart law and its application to current carrying a circular loop
    • Ampere's law and its applications to infinitely long current carrying straight wire and solenoid
    • Force on a moving charge in uniform magnetic and electric fields
    • Cyclotron
    • Force on a current-carrying conductor in a uniform magnetic field
    • The force between two parallel currents carrying conductors-definition of ampere
    • Torque experienced by a current loop in a uniform magnetic field
    • Moving coil galvanometer, its current sensitivity, and conversion to ammeter and voltmeter
    • Current loop as a magnetic dipole and its magnetic dipole moment
    • Bar magnet as an equivalent solenoid, magnetic field lines; Earth's magnetic field and magnetic elements 
    • Para-, dia- and ferromagnetic substances. Magnetic susceptibility and permeability
    • Hysteresis
    • Electromagnets and permanent magnets
    1. Electromagnetic Induction and Alternating Currents
    • Electromagnetic induction: Faraday's law
    • Induced emf and current: Lenz’s Law, Eddy currents
    • Self and mutual inductance
    • Alternating currents, peak and RMS value of alternating current/ voltage
    • LCR series circuit 
    • Resonance
    • Quality factor
    • Power in AC circuits
    • Wattless current
    • AC generator and transformer
    1. Electromagnetic Waves
    • Electromagnetic waves and their characteristics
    • Transverse nature of electromagnetic waves,Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet. X-rays. Gamma rays)
    • Applications of e.m. waves
    1. Optics
    • Reflection and refraction of light at plane and spherical surfaces, mirror formula
    • Total internal reflection and its applications
    • Deviation and Dispersion of light by a; prism; Lens Formula
    • Magnification 
    • Power of a Lens
    • Combination of thin lenses in contact
    • Microscope and Astronomical Telescope (reflecting and refracting ) and their magnifying powers
    • Wave optics: wavefront and Huygens' principle. Laws of reflection and refraction using Huygens principle
    • Interference, Young's double-slit experiment and expression for fringe width, coherent sources, and sustained interference of light
    • Diffraction due to a single slit, width of central maximum
    • Resolving power of microscopes and astronomical telescopes. Polarization, plane,polarized light: Brewster's law, uses of plane,polarized light and Polaroid.
    1. Dual Nature of Matter and Radiation
    • Dual nature of radiation
    • Photoelectric effect
    • Hertz and Lenard's observations
    • Einstein's photoelectric equation: particle nature of light
    • Matter waves-wave nature of particle, de Broglie relation
    • Davisson,Germer experiment
    1. Atoms and Nuclei
    • Alpha-particle scattering experiment
    • Rutherford's model of atom
    • Bohr model
    • Energy levels,
    • Hydrogen spectrum
    • Composition and size of nucleus
    • Atomic masses
    • Isotopes
    • Isobars
    • Radioactivity￾alpha
    • Beta and gamma particles/rays and their properties
    • Radioactive decay law
    • Mass-energy relation
    • Mass defect
    • Binding energy per nucleon and its variation with mass number
    • Nuclear fission and fusion
    1. Electronic Devices
    • Semiconductors
    • Semiconductor diode
    • 1-V characteristics in forward and reverse bias
    • Diode as a rectifier
    • I-V characteristics of LED
    • The photodiode
    • Solar cell and Zener diode
    • Zener diode as a voltage regulator
    • Junction transistor
    • Transistor action
    • Characteristics of a transistor
    • Transistor as an amplifier (common emitter configuration) and oscillator
    • Logic gates (OR. AND. NOT. NAND and NOR)
    • Transistor as a switch
    1. Communication Systems
    • Propagation of electromagnetic waves in the atmosphere
    • Sky and space wave propagation
    • Need for modulation
    • Amplitude and Frequency Modulation
    • Bandwidth of signals
    • The bandwidth of Transmission medium
    • Basic Elements of a Communication System (Block Diagram only)
    1. Experimental Skills

    Familiarity with the basic approach and observations of the experiments and activities:

    • Vernier calipers-its use to measure the internal and external diameter and depth of a vessel
    • Screw gauge-its use to determine thickness/ diameter of thin sheet/wire
    • Simple Pendulum-dissipation of energy by plotting a graph between the square of amplitude and time
    • Metre Scale - the mass of a given object by the principle of moments
    • Young's modulus of elasticity of the material of a metallic wire
    • Surface tension of water by capillary rise and effect of detergents
    • Coefficient of Viscosity of a given viscous liquid by measuring terminal velocity of a given spherical body
    • Plotting a cooling curve for the relationship between the temperature of a hot body and time
    •  Speed of sound in air at room temperature using a resonance tube
    • Specific heat capacity of a given 
    • (i) solid and (ii) liquid by method of mixtures
    • The resistivity of the material of a given wire using a meter bridge
    • The resistance of a given wire using Ohm's law
    • Potentiometer: i. Comparison of emf of two primary cells and ii. Determination of internal resistance of a cell
    • Resistance and figure of merit of a galvanometer by half deflection method
    • The focal length of: (i) Convex mirror (ii) Concave mirror, and (ii) Convex lens, using the parallax method
    • The plot of the angle of deviation vs angle of incidence for a triangular prism
    • Refractive index of a glass slab using a traveling microscope
    • Characteristic curves of a p-n junction diode in forward and reverse bias
    • Characteristic curves of a Zener diode and finding reverse breakdown voltage
    • Characteristic curves of a transistor and finding current gain and voltage gain
    • Identification of Diode. LED, Transistor. IC. Resistor. A capacitor from a mixed collection of such items
    • Using a multimeter to: (i) Identify the base of a transistor (ii) Distinguish between NPN and PNP type transistor (iii) See the unidirectional current in case of a diode and an LED (iv) Check the correctness or otherwise of a given electronic component (diode, transistor, or IC)
  • Module 2: Aptitude

    1. Awareness of persons, buildings, materials
    • Objects
    • Texture related to Architecture and Built-environment
    • Visualizing three dimensional objects from two-dimensional drawings
    • Visualizing. Different sides of three-dimensional objects. Analytical Reasoning Mental Ability (Visual. Numerical and Verbal)
    1. Three dimensional- perception
    • Understanding and appreciation of scale and proportions of objects
    • Building forms and elements
    • Color texture harmony and contrast
    • Design and drawing of geometrical or abstract shapes and patterns in pencil
    • Transformation of forms both 2D and 3D union 
    • Subtraction rotation
    • Development of surfaces and volumes
    • Generation of Plan,
    • Elevations and 3D views of objects
    • Creating two-dimensional and three-dimensional compositions using given shapes and forms
  • Module 3: Chemistry

    1:1 Physical Chemistry

    1. Some basic concepts in chemistry
    • Matter and its nature
    • Dalton's atomic theory
    • Concept of atom, molecule, element, and compound
    • Physical quantities and their measurements in Chemistry, precision, and accuracy, significant figures
    • S.I.Units
    • Laws of chemical combination
    • Atomic and molecular masses, mole concept, molar mass
    • percentage composition, empirical and molecular formulae
    •  Chemical equations and stoichiometry
    1. States of matter

    Classification of matter into solid, liquid, and gaseous states

    Gaseous State

    • Measurable properties of gasses
    • Gas laws 
    • Boyle's 
    • Law, Charle’s law & Graham's law of diffusion
    • Avogadro's law, Dalton's law of partial pressure
    • Concept of Absolute scale of temperature; Ideal gas equation; Kinetic theory of gasses (only postulates)
    • Concept of average, root mean square and most probable velocities
    • Real gasses, deviation from Ideal behavior, compressibility factor, and van der 
    • Waals equation

    Liquid State

    • Properties of liquids - vapor pressure, viscosity and surface tension, and effect of temperature on them (qualitative treatment only)

    Solid State

    • Classification of solids: molecular, ionic, covalent 
    • and metallic solids, amorphous and crystalline solids (elementary idea)
    • Bragg's Law and its applications
    • Unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, an imperfection in Solids
    • Electrical and magnetic properties
    1. Atomic Structure
    • Thomson and Rutherford atomic models and their limitations
    • Nature of electromagnetic radiation, photoelectric effect; Spectrum of the hydrogen atom
    • Bohr model of a hydrogen atom - its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr's model; 
    • Dual nature of matter, de Broglie's relationship
    • Heisenberg uncertainty principle
    • Elementary ideas of quantum mechanics, quantum mechanics, the quantum mechanical model of the atom, its important features
    • Concept of atomic orbitals as one-electron wave functions
    • Variation of  and 2 with r for 1s and 2s orbitals; various quantum numbers (principal, angular momentum,and magnetic quantum numbers) and their 
    • Significance; shapes of s, p, and d - orbitals, electron 
    • Spin and spin quantum number
    • Rules for filling electrons in orbitals – Aufbau principle
    • Pauli's exclusion principle and Hund's rule, electronic 
    • Configuration of elements, extra stability of half, filled and completely filled orbitals
    1. Chemical Bonding and Molecular Structure
    • Kossel - Lewis approach to chemical bond formation, the concept of ionic and covalent bonds
    • Ionic Bonding: Formation of ionic bonds, factors affecting the formation of ionic bonds; calculation of lattice enthalpy.
    • Covalent Bonding: Concept of electronegativity. 
    • Fajan’s rule, dipole moment: Valence Shell Electron 
    • Pair Repulsion (VSEPR ) theory and shapes of simple molecules
    • Quantum mechanical approach to covalent bonding:
    • Valence bond theory - its important features, the concept of hybridization involving s, p, and d orbitals; Resonance.

    Molecular Orbital Theory 

    • LCAOs
    • Types of molecular orbitals  (bonding, antibonding)
    • Sigma and pi-bonds
    • Molecular orbital electronic configurations of homonuclear diatomic the concept of bond order, bond length, bond energy
    • Elementary idea of metallic bonding
    • Hydrogen bonding and its applications
    1. Chemical Thermodynamics
    • Fundamentals of thermodynamics
    • System and surroundings, extensive and intensive properties, state functions, types of processes

    The first law of thermodynamics

    •  Concept of work, heat internal energy and enthalpy, heat capacity, molar heat capacity
    • Hess’s law of constant heat summation
    • Enthalpies of bond dissociation, combustion, formation, atomization, sublimation, phase transition, hydration, ionization,and solution

    The second law of thermodynamics

    • Spontaneity of processes; S of the universe and G of the system as criteria for spontaneity
    • G (Standard Gibbs energy change) and equilibrium constant
    1. Solutions
    • Different methods for expressing the concentration of solution - molality, molarity, mole fraction, percentage (by volume and mass both) the vapor 
    • Pressure of solutions and Raoult's Law - Ideal and non-ideal solutions, vapor pressure - composition, plots for ideal and non-ideal solutions; Colligative properties of dilute solutions - a relative lowering of vapor pressure, depression of freezing point, the elevation of boiling point and osmotic pressure
    • Determination of molecular mass using colligative properties; Abnormal value of molar mass
    • Hoff factor and its significance
    1. Equilibrium

    Equilibria involving physical processes

    • Solid, liquid - gas and solid-gas equilibria, Henry's law
    • General characteristics of equilibrium involving physical processes

    Equilibrium involving chemical processes

    • Chemical equilibrium
    • Equilibrium constants (Kpand Kc) and their significance, the significance of G and G in chemical equilibrium, factors affecting equilibrium concentration, pressure, temperature, the effect of catalyst
    • Le Chatelier’s principle
    1. Redox Reactions and Electrochemistry
    • Electronic concepts of oxidation and reduction 
    • Redox reactions
    • Oxidation number
    • Rules for assigning oxidation number
    • Balancing of redox reactions
    • Electrolytic and metallic conduction
    • Conductance in electrolytic solutions
    • Molar conductivities and their variation with concentration: Kohlrausch’s law and its applications
    • Electrochemical cells - Electrolytic and Galvanic cells
    • Different types of electrodes, electrode potentials including standard electrode potential half - cell and cell reactions
    • Emf of a Galvanic cell and its measurement: Nernst equation and its applications
    • Relationship between cell potential and Gibbs' energy change: Dry cell and lead accumulator; Fuel cells
    1. Chemical Kinetics
    • Rate of a chemical reaction
    • Factors affecting the rate of reactions: concentration, temperature, pressure, and catalyst
    • Elementary and complex reactions
    • Order and molecularity of reactions
    • Rate law
    • Rate constant and its units
    • Differential and integral forms of zero and first-order reactions their characteristics and half-lives
    • The effect of temperature on the rate of reactions
    • Arrhenius theory, activation energy and its calculation
    • Collision theory of bimolecular gaseous reactions (no derivation)
    1. Surface Chemistry

    Adsorption

    • Physisorption and chemisorption and their characteristics
    • Factors affecting adsorption of gasses on solids
    • Freundlich and Langmuir adsorption isotherms
    • Adsorption from solutions

    Catalysis

    • Homogeneous and heterogeneous
    • Activity and selectivity of solid catalysts
    • Enzyme catalysis, and its mechanism

    Colloidal state

    • Distinction among true solutions
    • Colloids, and suspensions
    • Classification of colloids - lyophilic. lyophobic; multi-molecular
    • Macromolecular and associated colloids (micelles)
    • Preparation and properties of colloids -Tyndall effect
    • Brownian movement
    • Electrophoresis
    • Dialysis
    • Coagulation, and flocculation: Emulsions and their characteristics

    1:2 Inorganic Chemistry

    1. Classification of Elements and Periodicity in Properties
    • Modem periodic law and present form of the periodic table
    • s, p. d and f block elements
    • Periodic trends in properties of elements atomic and ionic radii
    • Ionization enthalpy
    • Electron gain enthalpy
    • Valence
    • Oxidation states, and chemical reactivity
    1. General Principles and Processes of Isolation of Metals
    • Modes of occurrence of elements in nature minerals, ores
    • Steps involved in the extraction of metals - concentration, reduction (chemical and electrolytic methods), and refining with special reference to the extraction of Al, Cu, Zn, and Fe
    • Thermodynamic and electrochemical principles involved in the extraction of metals
    1. Hydrogen
    • Position of hydrogen in periodic table
    • Isotopes, preparation, properties and uses of hydrogen
    • Physical and chemical properties of water and heavy water
    • Structure, preparation, reactions, and uses of hydrogen peroxide
    • Classification of hydrides - ionic, covalent, and interstitial
    • Hydrogen as a fuel
    1. S-Block Elements (Alkali and Alkaline earth metals)

    Group -1 and 2 Elements

    • General introduction, electronic configuration, and general trends in physical and chemical properties of elements
    • anomalous properties of the first element of each group
    • diagonal relationships
    • Preparation and properties of some important compounds - sodium carbonate and sodium hydroxide and sodium hydrogen carbonate
    • Industrial uses of lime, limestone
    • Plaster of Paris and cement
    • Biological significance of Na, K. Mg, and Ca
    1. P-Block Elements 

                Group -13 to Group 18 Elements

    • Electronic configuration and general trends in physical and chemical
    • properties of elements across the periods and down the groups
    • unique behavior of the first element in each group. 

                Groupwise study of the p - block elements Group -13

    • Preparation, properties, and uses of boron and aluminum
    • Structure, properties, and uses of borax, boric acid, diborane, boron trifluoride, aluminum chloride, and alums. 

                Group -14

    • The tendency for catenation
    • Structure, properties, and uses of Allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites, and silicones

                Group -15

    • Properties and uses of nitrogen and phosphorus
    • Allotropic forms of phosphorus; Preparation, properties, structure, and uses of ammonia, nitric acid, phosphine, and phosphorus halides, (PCl3. PCl5)
    • Structures of oxides and oxoacids of nitrogen and phosphorus.

                Group -16

    • Preparation, properties, structures, and uses of ozone
    • Allotropic forms of Sulphur; Preparation, properties, structures, and uses of sulphuric acid (including its industrial preparation)
    • Structures of oxoacids of Sulphur

                Group-17

    • Preparation, properties, and uses of hydrochloric acid
    • Trends in the acidic nature of hydrogen halides
    • Structures of Interhalogen compounds and oxides and oxoacids of halogens

                Group-18

    • Occurrence and uses of noble gasses
    • Structures of fluorides and oxides of xenon
    1. D and F Block Elements

               Transition Elements

    • General introduction
    • electronic configuration, occurrence and characteristics
    • general trends in properties of the first-row transition elements - physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation 
    • Preparation, properties, and uses of K2Cr2O7, and KMnO4

               Inner Transition Elements

    1. Lanthanide 
    • Electronic configuration
    • oxidation states, and lanthanide contraction.
    1. Actinoids
    • Electronic configuration and oxidation states 

    7. Coordination Compounds

    • Introduction to coordination compounds
    • Werner's theory; ligands, coordination number, denticity. Chelation
    • IUPAC nomenclature of mononuclear coordination compounds, isomerism
    • BondingValence bond approach and basic ideas of Crystal field theory
    • Color and magnetic properties
    • Importance of coordination compounds (in qualitative analysis, extraction of metals and in biological systems)

    8. Environmental Chemistry

    1. Environmental pollution
    • Atmospheric, water, and soil
    1. Atmospheric pollution
    • Tropospheric and Stratospheric
    1. Tropospheric pollutants - Gaseous pollutants
    • Oxides of carbon, nitrogen, and sulphur, hydrocarbons
    • their sources, harmful effects, and prevention
    • Greenhouse effect and Global warming: Acid rain
    1. Particulate pollutants
    • Smoke, dust, smog, fumes, mist
    • their sources, harmful effects, and prevention
    1. Stratospheric pollution
    • Formation and breakdown of ozone
    • Depletion of the ozone layer - its mechanism and effects
    1. Water Pollution
    • Major pollutants such as. pathogens, organic wastes, and chemical pollutants
    • Their harmful effects and prevention
    1. Soil pollution
    • Major pollutants such as; Pesticides (insecticides. herbicides and fungicides)
    • their harmful effects, and prevention
    • Strategies to control environmental pollution

    1:3 Organic Chemistry

    1. Purification and Characterisation of Organic Compounds

    Purification 

    • Crystallization
    • Sublimation
    • Distillation
    • differential extraction, and chromatography
    • principles and their applications

    Qualitative analysis

    • Detection of nitrogen
    • sulphur, phosphorus, and halogens

    Quantitative analysis

    • (basic principles only)
    • Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus.

    Calculations of empirical formula and molecular formulae

    • Numerical problems in organic quantitative analysis
    1. Some Basic Principles of Organic Chemistry
    • Tetravalency of carbon
    • Shapes of simple molecules - hybridization (s and p)
    • Classification of organic compounds based on functional groups those containing halogens, oxygen, nitrogen, and sulphur
    • Homologous series: Isomerism - structural and stereoisomerism

    Nomenclature (Trivial and IUPAC)

    • Covalent bond fission - Homolytic and heterolytic
    • Free radicals, carbocations, and carbanions
    • Stability of carbocations and free radicals, electrophiles, and nucleophiles

    Electronic displacement in a covalent bond

    • Inductive effect
    • Electromeric effect, resonance
    • Hyperconjugation

    Common types of organic reactions

    • Substitution, addition, elimination, and rearrangement
    1. Hydrocarbons
    • Classification, isomerism, IUPAC nomenclature
    • general methods of preparation, properties, and reactions.

    Alkanes

    • Conformations: Sawhorse and Newman projections (of ethane)
    • Mechanism of halogenation of alkanes

    Alkenes 

    • Geometrical isomerism
    • Mechanism of electrophilic addition
    • addition of hydrogen, halogens, water, hydrogen halides (Markovnikov's and peroxide effect)
    • Ozonolysis and polymerization

    Alkynes

    • Acidic character: Addition of hydrogen
    • Halogens
    • Water and hydrogen halides
    • Polymerization

    Aromatic hydrocarbons

    • Nomenclature, benzene - structure and aromaticity
    • Mechanism of electrophilic substitution
    • Halogenation, nitration

    Friedel

    • Craft's alkylation and acylation, directive influence of the functional group in monosubstituted benzene
    1. Organic Compounds Containing Halogens
    • General methods of preparation, properties, and reactions
    • Nature of C-X bond
    • Mechanisms of substitution reactions. Uses
    • Environmental effects of chloroform, iodoform freons, and DDT
    1. Oxygen Compounds Containing Oxygen 
    • General methods of preparation, properties, reactions, and uses

    Alcohols, Phenols, and Ethers

    1. Alcohols
    • Identification of primary, secondary, and tertiary alcohols mechanism of dehydration
    1. Phenols
    • Acidic nature
    • electrophilic substitution reactions
    • halogenation. nitration and sulphonation
    • Reimer - Tiemann reaction
    1. Ethers
    • Structure

    Aldehyde and Ketones

    • Nature of carbonyl group
    • Nucleophilic addition to >C=O group
    • relative reactivities of aldehydes and ketones
    • Important reactions such as - Nucleophilic addition reactions (addition of HCN, NH3, and its derivatives)
    • Grignard reagent; oxidation
    • reduction (Wolf Kishner and Clemmensen) the acidity of - hydrogen. aldol condensation
    • Cannizzaro reaction
    • Haloform reaction
    • Chemical tests to distinguish between aldehydes and Ketones.

    6. Oxygen Compounds Containing Nitrogen

    • General methods of preparation. Properties, reactions, and uses

                Amines

    • Nomenclature, classification structure
    • basic character, and identification of primary, secondary, and tertiary amines
    • their basic character

                Diazonium Salts

    • Importance in synthetic organic chemistry

    7. Polymers

    • General introduction and classification of polymers
    • General methods of polymerization
    • Addition and condensation, copolymerization
    • Natural and synthetic, rubber and vulcanization
    • Some important polymers with emphasis on their monomers
    • Uses – polythene, nylon, polyester, and bakelite

    8. Biomolecules

                Carbohydrates

    • Classification; aldoses and ketoses
    • monosaccharides (glucose and fructose) and constituent monosaccharides of oligosaccharides (sucrose, lactose, and maltose)

    PROTEINS

    • Elementary Idea of -amino acids, peptide bond, polypeptides
    • Proteins: primary, secondary, tertiary
    • quaternary structure (qualitative idea only), denaturation of proteins, enzymes

    VITAMINS - Classification and functions

    NUCLEIC ACIDS

    • Chemical constitution of DNA and RNA
    • Biological functions of nucleic acids

    9. Chemistry in Everyday Life

    • Chemicals in Medicines 
    • Analgesics
    • Tranquilizers
    • Antiseptics
    • Disinfectants
    • Antimicrobials
    • anti-fertility drugs
    • antibiotics, antacids
    • Antihistamines -their meaning and common examples.

               Chemicals in food

    • Preservatives
    • artificial sweetening agents
    • common examples

              Cleansing Agents

    • Soaps and detergents
    • cleansing action

    10. Principles Related to Practical Chemistry

    • Detection of extra elements (Nitrogen, Sulphur, halogens) in organic compounds
    • Detection of the following functional groups
    • hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketones) carboxyl, and amino groups in organic compounds
    • The chemistry involved in the preparation of the following: Inorganic compounds; Mohr’s salt, potash alum. Organic compounds: Acetanilide, p-nitro acetanilide, aniline yellow, iodoform
    • The chemistry involved in the titrimetric exercises – Acids, bases and the use of indicators, oxalic-acid vs KMnO4, Mohr’s salt vs KMnO4
    • Chemical principles involved in the qualitative salt analysis: Cations – Pb2+, Cu2+, Al3+, Fe3+, Zn2+, Ni2+ , Ca2+, Ba2+, Mg2+ , NH4 + Anions- CO3 2− , S 2- ,SO4 2− , NO3- , NO2- , Cl- , Br- , I- ( Insoluble salts excluded)

    Chemical principles involved in the following experiments

    • Enthalpy of solution of CuSO4
    • Enthalpy of neutralization of strong acid and strong base
    • Preparation of lyophilic and lyophobic sols.
    •  Kinetic study of the reaction of iodide ions with hydrogen peroxide at room temperature 
  • Paper II- Module 1: Mathematics

    1. SETS, Relations, and Functions
    • Sets and their representation
    • Union, intersection and complement of sets and their algebraic properties
    • Power set; Relation, Type of relations, equivalence relations, functions
    • One-one, into and onto functions, the composition of functions
    1. Complex Numbers and Quadratic Equations
    • Complex numbers as ordered pairs of reals
    • Representation of complex numbers in the form a+ib and their representation in a plane
    • Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number triangle inequality
    • Quadratic equations in real and complex number system and their solutions
    • Relations between roots and coefficient, nature of roots the formation of quadratic equations with given roots
    1. Matrix and Determinants 
    • Matrices
    • Algebra of matrices
    • Type of matrices
    • Determinants, and matrices of order two and three
    • Properties of determinants
    • Evaluation of determinants
    • Area of triangles using determinants
    • Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations
    • Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices
    1. Permutations and Combinations
    • The fundamental principle of counting, permutation as an arrangement and combination as section
    • Meaning of P (n,r) and C (n,r), simple applications
    1. Mathematical Inductions
    • Principle of Mathematical Induction and its simple applications
    1. Binomial Theorem and its Simple Applications
    • Binomial theorem for a positive integral index
    • General term and middle term
    • properties of Binomial coefficients, and simple applications
    1. Sequence and Series
    • Arithmetic and Geometric progressions
    • Insertion of arithmetic, geometric means between two given numbers
    • Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3
    • Arithmetico-Geometric progression
    1. Limit, Continuity and Differentiability
    • Real–valued functions
    • Algebra of functions, polynomials
    • Rational
    • Trigonometric, logarithmic, and exponential functions, inverse function
    • Graphs of simple functions
    • Limits, continuity, and differentiability
    • Differentiation of the sum, difference, product, and quotient of two functions
    • Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions
    • derivatives of order up to two, Rolle’s and Lagrange's Mean value Theorems
    • Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions
    • Maxima and minima of functions of one variable, tangents and normal
    1. Integral Calculus
    • Integral as an antiderivative
    • Fundamental Integrals involving algebraic
    • trigonometric, exponential, and logarithmic functions
    • Integrations by substitution, by parts, and by partial functions
    • Integration using trigonometric identities
    • Evaluation of simple integrals of the type ∫ 𝑑𝑥 𝑥 2+𝑎2 , ∫ 𝑑𝑥 √𝑥 2 ± 𝑎2 , ∫ 𝑑𝑥 𝑎2− 𝑥 2 , ∫ 𝑑𝑥 √𝑎2− 𝑥 2 , ∫ 𝑑𝑥 𝑎𝑥2+𝑏𝑥+𝑐 ,∫ 𝑑𝑥 √𝑎𝑥2+ 𝑏𝑥+𝑐 , ∫ (𝑝𝑥+𝑞)𝑑𝑥 𝑎𝑥2+𝑏𝑥+𝑐 , ∫ (𝑝𝑥+𝑞)𝑑𝑥 √𝑎𝑥2+ 𝑏𝑥+𝑐 ∫ √𝑎 2 ± 𝑥 2 𝑑𝑥 , ∫√𝑥 2 − 𝑎 2 𝑑𝑥 Integral as limit of a sum
    • The fundamental theorem of calculus, properties of definite integrals
    • Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form
    1. Coordinate Geometry

                Straight line

    • Various forms of equations of a line
    • Intersection of lines
    • Angles between two lines
    • Conditions for concurrence of three lines
    • The distance of a point form a line
    • Equations of internal and external by sectors of angles between two lines
    • Coordinate of the centroid, orthocentre, and circumcentre of a triangle
    • Equation of the family of lines passing through the point of intersection of two lines
  • Module 3: Planning

    1. General Awareness 
    • General knowledge questions and knowledge about prominent cities
    • Development issues
    • Government programs, etc
    1. Social Sciences
    • The idea of nationalism
    • Nationalism in India
    • Pre-modern world
    • 19th -century global economy
    • Colonialism, and colonial cities
    • Industrialization, resources, and development
    • Types of resources
    • Agriculture
    • Water
    • Mineral resources
    • Industries
    • National economy
    • Human Settlements Power-sharing
    • Federalism
    • Political parties
    • Democracy
    • the constitution of India Economic development- economic sectors, globalization the concept of development
    • Poverty
    • Population structure
    • social exclusion, and inequality
    • Urbanization
    • Rural development
    • Colonial cities
    1. Thinking Skills
    • Comprehension (unseen passage)
    • map reading skills
    • Scale
    • Distance
    • Direction, area, etc.
    • Critical reasoning
    • Understanding of charts, graphs, and tables
    • Basic concepts of statistics and quantitative reasoning

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