Know about Reduced Syllabus of JEE Main 2021

Unit-I: Sets and Functions

1.Sets

Difference of sets.

Complement of a set. Properties of Complement

2.Relations & Functions

(up to RXRXR )

Sum, Difference, product and quotients of functions

3. Trigonometric Functions

General Solutions of trigonometric equations of the type siny=sina, cosy=cosa and tany= tana.

Unit-II: Algebra

1. Principle of Mathematical Induction

Delete full chapter

2. Complex Numbers and Quadratic Equations

Polar representation of complex numbers

Square root of a complex number

3. Linear Inequalities

Nil

4. Permutations and Combinations

Derivation of formulae for nPrandnCr

5.Binomial theorem

Delete full Chapter

6. Sequence and Series

Formulae for the following special sums ∑K, ∑K², ∑K³

Unit-III: Coordinate geometry

1. Straight Lines

Shifting of origin

Equation of family of lines passing through the point of intersection of two lines

2. Conic sections

A point, a straight line and a pair of intersecting lines as a degenerated case of a conic section.

3.Introduction to Three-dimensional Geometry

Nil

Unit-IV : Calculus

1. Limits and Derivatives

Nil

Unit-V : Mathematical Reasoning

1. Mathematical Reasoning

Delete full chapter

Unit-VI: Statistics and Probability

1. Statistics

Analysis of frequency distributions with equal means but different variances.

2. Probability

Axiomatic (set theoretic) probability, connections with other theories of earlier classes

Unit-I: Relations and Functions

1. Relations and Functions

Composite functions, inverse of a function.

2. Inverse Trigonometric Functions

Graphs of inverse trigonometric functions

Elementary properties of inverse trigonometric functions

Unit-II: Algebra

1. Matrices

Existence of non-zero matrices whose product is the zero matrix.

Concept of elementary row and column operations.

Proof of the uniqueness of inverse, if it exists.

2. Determinants

Properties of determinants

Consistency, inconsistency and number of solutions of system of linear equations by examples,

Unit-III: Calculus

1. Continuity and Differentiability

Rolle’s and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.

2. Applications of Derivatives

Rate of change of bodies, use of derivatives in approximation

3. Integrals

∫ √ax², ∫ (ax+b)√ax² + bx + c dx

Definite integrals as a limit of a sum

4. Applications of the Integrals

Area between any of the two above said curves

5. Differential Equations

Formation of differential equation whose general solution is given.

Solutions of linear differential equation of the type: ds+px=q, where p and q are functions of y or constants i.e. dy

Unit-IV: Vectors and Three- Dimensional Geometry

1. Vectors

Scalar triple product of vectors.

2. Three - dimensional Geometry

Angle between (i) two lines, (ii) two planes, (iii) a line and a plane

Unit-V: Linear Programming

1. Linear Programming

Mathematical formulation of L.P. problems (unbounded)

Unit-VI: Probability

1. Probability

Mean and variance of random variable

Binomial probability distribution.

Some Basic Concepts of Chemistry

Nature of matter, laws of chemical combination, Dalton's atomic theory: concept of elements, atoms and molecules.

Structure of Atom

·         Discovery of Electron, Proton and Neutron, atomic number, isotopes and isobars

·         Thomson's model and its limitations. Rutherford's model and its limitations

Classification of Elements and

Significance of classification, brief history of the development of periodic table,

Periodicity in Properties

Chemical Bonding and Molecular Structure

--

States of Matter: Gases and Liquids

liquefaction of gases, critical temperature, kinetic energy and molecular speeds (elementary idea), Liquid State- vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations)

Chemical Thermodynamics

Heat capacity and specific heat capacity, Criteria for equilibrium

Equilibrium

hydrolysis of salts (elementary idea), Henderson Equation

Redox Reactions

applications of redox reactions

Hydrogen

Preparation, properties and uses of hydrogen, hydrogen peroxide - preparation, reactionsand structure and use;

s -Block Elements

Preparation and Properties of Some Important Compounds: Sodium Carbonate, Sodium Chloride, Sodium Hydroxide and Sodium Hydrogen carbonate, Biological importance of Sodium and Potassium. Calcium Oxide and Calcium Carbonate and their industrial uses, biological importance of Magnesium and Calcium.

Some p -Block Elements

Some important compounds: Borax, Boric acid, Boron Hydrides, Aluminium: Reactions with acids and alkalies, uses.

Carbon: uses of some important compounds: oxides. Important compounds of Silicon and a few uses: Silicon Tetrachloride, Silicones, Silicates and Zeolites, their uses.

Organic Chemistry: Some basic Principles and Techniques

methods of purification, qualitative and quantitative analysis

Hydrocarbons

Free radical mechanism of halogenation, combustion and pyrolysis.

Environmental Chemistry

Entire chapter

Solid State

Electrical and magnetic properties. Band theory of metals, conductors, semiconductors and insulators and n and p type semiconductors.

Solutions

Abnormal molecular mass, Van't Hoff factor

Electrochemistry

Lead accumulator, fuel cells, corrosion, law of electrolysis (elementary idea), dry cell- electrolytic cells and Galvaniccells,

Chemical Kinetics

Concept of collision theory (elementary idea, no mathematical treatment), activation energy, Arrhenius equation.

Surface Chemistry

emulsion - types of emulsions, catalysis: homogenous and heterogeneous, activity and selectivity of solid catalysts; enzyme catalysis

General Principles and Processes of Isolation of Elements

Entire unit

p-Block Elements

Preparation and properties of Phosphine, Sulphuric Acid: industrial process of manufacture, Oxides of Nitrogen (Structure only); Phosphorus - allotropic forms, compounds of Phosphorus: Preparation and properties of Halides and Oxo acids (elementary idea only).

d and f Block Elements

Chemical reactivity of lanthanoids, Actinoids -Electronic configuration, oxidation states and comparison with lanthanoids. Preparation and properties of KMnO₄ and K₂Cr₂O₇

Coordination Compounds

Structure and stereoisomerism, importance of coordination compounds (in qualitative analysis, extraction of metals and biological system).

Haloalkanes and Haloarenes

Uses and environmental effects of -dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.

Alcohols, Phenols and Ethers

Uses with special reference to methanol and ethanol.

Amines

Diazonium salts: Preparation, chemical reactions and importance in synthetic organic chemistry.

Biomolecules

Oligosaccharides (sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen), importance of carbohydrates.

Vitamins– classification and functions. Enzymes. Hormones - Elementary idea excluding structure.

Polymers

Entire chapter

Chemistry in Everyday life

Entire chapter

Chapter–1

Physical World

Chapter-3 :

Motion in a straight line

Frame of reference, Motion in a straight line: Position-time graph, speed and velocity

Chapter-5

Laws of Motion

Intuitive concept of force, Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse; Newton's third law of motion

Chapter-7

System of Particles and Rotational Motion

Statement of parallel and perpendicular axes theorems and their applications.

Chapter-8

Gravitation

Kepler's laws of planetary motion, Acceleration due to gravity

Chapter-9

Mechanical Properties of Solids

Elastic behaviour, shear modulus of rigidity, Poisson's ratio; elastic energy.

Chapter-11

Thermal properties matter

Heat, temperature, Heat transfer-conduction, convection and radiation

Chapter-12

Thermodynamics

Heat engine and refrigerator.

Chapter-15

Waves

fundamental mode and harmonics, Doppler effect.

Chapter-1

Electric charges and fields

uniformly charged thin spherical shell (field inside and outside).

Chapter-3

Current Electricity

Carbon resistors, colour code for carbon resistors; series and parallel combinations of resistors

Chapter-4

Moving Charges and Magnetism

Cyclotron

Chapter-5

Magnetism and Matter

magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis, torque on a magnetic dipole (bar magnet) in a uniform magnetic field;

Para-, dia- and ferromagnetic substances, with examples. Electromagnets and factors affecting their strengths, permanent magnets.

Chapter-7

Alternating Current

power factor, wattless current.

Chapter 8

Electromagnetic Waves

Basic idea of displacement current,

Chapter 9

Ray Optics and Optical Instruments

Reflection of light, spherical mirrors,(recapitulation) mirror formula,

Scattering of light - blue colour of sky and reddish appearance of the sun at sunrise and sunset.

resolving power of microscope and astronomical telescope, Polarisation, plane polarised light, Brewster's law, uses of plane polarised light and Polaroids.

Chapter-11

Dual Nature of radiation and matter

Davisson-Germer experiment

Chapter 13

Nuclei

Radioactivity, alpha, beta and gamma particles/rays and their properties; radioactive decay law, half-life and mean life

binding energy per nucleon and its variation with mass number

Chapter 14

Semiconductor Electronics: Materials, Devices and Simple Circuits

Zener diode and their characteristics, Zener diode as a voltage regulator.