Blogs

                                                                    Important Topics for IIT JEE Mathematics

Mathematics plays a crucial role in the IIT JEE exam and requires a strong grasp of concepts and consistent practice. Below is a categorized list of the most important topics:

1. Algebra

• Quadratic Equations:
• Roots and their properties
• Relation between roots and coefficients
• Nature of roots
• Complex Numbers:
• Polar representation
• De Moivre’s Theorem
• Properties of modulus and argument
• Matrices and Determinants:
• Types of matrices
• Inverse of a matrix
• Properties of determinants
• Sequences and Series:
• Arithmetic Progression (AP)
• Geometric Progression (GP)
• Sum of infinite series
• Binomial Theorem:
• General and middle terms
• Approximation problems
• Probability and Statistics:
• Conditional probability
• Bayes’ Theorem
• Mean, variance, and standard deviation

2. Calculus

• Limits and Continuity:
• Basic theorems on limits
• Continuity and discontinuity of functions
• Differentiation:
• Derivatives of functions
• Application of derivatives (tangents, normals, maxima, minima)
• Integration:
• Standard integrals
• Definite and indefinite integration
• Application of integrals (area under curves, volume of solids of revolution)
• Differential Equations:
• Formation of differential equations
• Solving first-order and first-degree equations

3. Coordinate Geometry

• Straight Lines:
• Slope-intercept form
• General equation of a line
• Circles:
• Equation of a circle
• Tangents and normals
• Conic Sections:
• Parabola, Ellipse, and Hyperbola
• Standard forms and properties

4. Trigonometry

• Trigonometric Identities:
• Basic identities and their applications
• Inverse Trigonometric Functions:
• Principal value branches
• Properties of Triangles:
• Sine rule, cosine rule, and tangent rule

5. Vectors and 3D Geometry

• Vectors:
• Dot and cross products
• Application to geometry
• 3D Geometry:
• Distance between points, lines, and planes
• Angle between lines and planes

6. Miscellaneous Topics

• Logarithms and Exponentials
• Permutations and Combinations
• Mathematical Reasoning

Preparation Tips

1. Prioritize Important Topics: Focus on high-weightage topics like Calculus, Algebra, and Coordinate Geometry.

2. Practice Regularly: Solve a variety of problems from each topic to strengthen your conceptual understanding.

3. Revise Frequently: Maintain a formula sheet for quick revision.

4. Mock Tests: Practice past years’ JEE papers and take timed mock tests to improve speed and accuracy.

 

                                                             Important Topics for IIT JEE Chemistry

Chemistry in IIT JEE is divided into three parts: Physical Chemistry, Organic Chemistry, and Inorganic Chemistry. Below is a categorized list of the most important topics based on their weightage and significance in the exam.

1. Physical Chemistry

1. Some Basic Concepts of Chemistry:

o   Mole concept

o   Stoichiometry

2. Atomic Structure:

o   Bohr's model and quantum numbers

o   Electronic configuration

o   Photoelectric effect and de Broglie equation

3. Chemical Bonding and Molecular Structure:

o   Hybridization

o   VSEPR theory

o   Molecular orbital theory

4. States of Matter:

o   Ideal gas equation

o   Kinetic theory of gases

o   Real gases and Van der Waals equation

5. Thermodynamics:

o   First and second law of thermodynamics

o   Enthalpy, entropy, and Gibbs free energy

6. Chemical Equilibrium:

o   Law of mass action

o   Le Chatelier's principle

o   Kp, Kc, and relation between them

7. Electrochemistry:

o   Nernst equation

o   Electrolysis and Faraday’s laws

o   Conductivity and Kohlrausch’s law

8. Chemical Kinetics:

o   Rate laws

o   Arrhenius equation

o   Collision theory

9. Solutions:

o   Raoult’s law

o   Colligative properties

10.            Surface Chemistry:

o   Adsorption

o   Catalysis

o   Colloids

2. Organic Chemistry

1. General Organic Chemistry (GOC):

o   Inductive, mesomeric, and hyperconjugation effects

o   Resonance and stability of carbocations, carbanions, and free radicals

2. Hydrocarbons:

o   Alkanes, alkenes, and alkynes

o   Reactions: Addition, substitution, and elimination

3. Reaction Mechanisms:

o   Nucleophilic substitution (SN1 and SN2)

o   Electrophilic substitution

o   Free radical reactions

4. Aromatic Compounds:

o   Benzene: Electrophilic substitution reactions

o   Huckel’s rule for aromaticity

5. Alcohols, Phenols, and Ethers:

o   Properties and reactions

o   Williamson synthesis

6. Aldehydes and Ketones:

o   Nucleophilic addition reactions

o   Aldol condensation and Cannizzaro reaction

7. Carboxylic Acids and Derivatives:

o   Acidic strength order

o   Reactions of esters, amides, and anhydrides

8. Amines:

o   Basicity and preparation

o   Reactions of primary, secondary, and tertiary amines

9. Biomolecules and Polymers:

o   Carbohydrates, proteins, and nucleic acids

o   Classification and properties of polymers

3. Inorganic Chemistry

1. Periodic Table and Periodicity:

o   Trends in ionization energy, electronegativity, and atomic radii

2. Chemical Bonding:

o   Ionic, covalent, and metallic bonding

o   Fajan’s rule

3. Coordination Compounds:

o   Nomenclature and isomerism

o   Crystal field theory

4. Hydrogen:

o   Properties of hydrogen and hydrides

5. s-Block Elements:

o   Alkali and alkaline earth metals

o   Reactions and properties

6. p-Block Elements:

o   Properties of groups 13–18

o   Reactions of boron, carbon, nitrogen, and halogens

7. d-Block and f-Block Elements:

o   Transition elements: Oxidation states and color properties

o   Lanthanides and actinides: Properties and separation

8. Environmental Chemistry:

o   Pollution: Air and water

o   Green chemistry principles

Preparation Tips

1. Prioritize High-Weightage Topics: Focus on Coordination Compounds, Chemical Bonding, Thermodynamics, GOC, and Aldehydes/Ketones.

2. NCERT is Key: For Inorganic Chemistry, study NCERT thoroughly.

3. Practice Problems: Solve a variety of numerical problems in Physical Chemistry and mechanism-based problems in Organic Chemistry.

4. Regular Revision: Keep revising formulas, reaction mechanisms, and periodic trends.

5. Mock Tests: Practice past JEE questions and take mock tests to improve speed and accuracy.

 

                                                          Important Topics for IIT JEE Physics

Physics is a critical subject in IIT JEE, requiring a mix of conceptual understanding and problem-solving skills. Below is a categorized list of the most important topics to focus on:

1. Mechanics

1. Laws of Motion:

o   Newton's laws of motion

o   Friction and circular motion

2. Work, Energy, and Power:

o   Work-energy theorem

o   Conservation of energy

o   Power calculation

3. Rotational Motion:

o   Moment of inertia

o   Torque and angular momentum

o   Dynamics of rotational motion

4. Gravitation:

o   Kepler's laws of planetary motion

o   Gravitational potential and field

o   Escape velocity

5. Fluid Mechanics:

o   Bernoulli’s principle

o   Viscosity and surface tension

6. Properties of Matter:

o   Elasticity

o   Pressure in a fluid

2. Thermodynamics and Kinetic Theory

1. Thermodynamics:

o   First law of thermodynamics

o   Carnot engine and efficiency

o   Entropy concepts

2. Kinetic Theory of Gases:

o   Maxwell-Boltzmann distribution

o   Mean free path

3. Electrodynamics

1. Electrostatics:

o   Coulomb’s law

o   Electric field and potential

o   Capacitance and dielectrics

2. Current Electricity:

o   Ohm’s law and resistance

o   Kirchhoff's laws

o   Wheatstone bridge and potentiometer

3. Magnetic Effects of Current and Magnetism:

o   Biot-Savart law and Ampere’s circuital law

o   Force on a current-carrying conductor

o   Earth’s magnetism

4. Electromagnetic Induction:

o   Faraday’s laws of induction

o   Lenz’s law

o   Eddy currents

5. Alternating Current:

o   LCR circuits and resonance

o   Power in AC circuits

4. Optics

1. Ray Optics:

o   Reflection and refraction

o   Lens and mirror formulas

o   Optical instruments

2. Wave Optics:

o   Interference and diffraction

o   Young’s double-slit experiment

5. Modern Physics

1. Dual Nature of Matter and Radiation:

o   Photoelectric effect

o   de Broglie wavelength

2. Atomic Structure:

o   Bohr’s model of the atom

o   Hydrogen spectrum

3. Nuclear Physics:

o   Radioactivity laws

o   Binding energy and mass defect

4. Semiconductors:

o   Diodes, transistors, and logic gates

o   Rectifiers and amplifiers

6. Waves and Oscillations

1. Simple Harmonic Motion (SHM):

o   Differential equations of SHM

o   Energy in SHM

2. Waves:

o   Speed of sound

o   Superposition principle

Key Preparation Tips

1. Prioritize High-Weightage Topics: Focus on Mechanics, Modern Physics, and Electrodynamics as they often carry a significant portion of the paper.

2. Strengthen Concepts: Avoid rote memorization. Focus on understanding the concepts thoroughly.

3. Solve Numericals: Practice problems from each topic to develop problem-solving speed and accuracy.

4. Revise Formulas: Keep a formula sheet handy and revise it regularly.

5. Mock Tests: Solve past JEE papers and take regular mock tests to improve time management and accuracy.

 

Believe in Yourself, We Believe in You

Get in Touch:

📍 Address – Gill Colony, Lane No 4, Behind Ganga Dairy, Saharanpur

📞 Phone Number- 7505491270, 7017637794

📧 Email Address- educel.digi@gmail.com

 

 Achieve Excellence with Us