Mentorship Programme
JEE Mains Syllabus
Mathematics
Unit 1: Sets, Relations and Functions
- Sets
- Union, Intersection & Complement
- Algebra of Sets
- Power Set
- Relations
- Types of Relations
- Equivalence Relations
- Functions
- One-One, Into & Onto Functions
- Composition of Functions
Unit 2: Complex Numbers and Quadratic Equations
- Complex Numbers
- Argand Diagram
- Algebra of Complex Numbers
- Modulus & Argument
- Quadratic Equations
- Relation Between Roots & Coefficients
- Nature of Roots
- Formation of Quadratic Equations
Unit 3: Matrices and Determinants
- Matrices
- Types of Matrices
- Matrix Algebra
- Determinants
- Area of Triangle using Determinants
- Adjoint & Inverse Matrix
- Linear Equations using Matrices
Unit 4: Permutations and Combinations
- Fundamental Principle of Counting
- Permutations
- Combinations
- Applications
Unit 5: Binomial Theorem
- Binomial Expansion
- General Term
- Middle Term
- Applications
Unit 6: Sequence and Series
- Arithmetic Progression (AP)
- Geometric Progression (GP)
- Arithmetic Mean
- Geometric Mean
- Relation between AM & GM
Unit 7: Limits, Continuity and Differentiability
- Functions
- Graphs of Functions
- Limits
- Continuity
- Differentiability
- Differentiation
- Composite & Implicit Functions
- Second Order Derivatives
- Applications of Derivatives
- Rate of Change
- Increasing & Decreasing Functions
- Maxima & Minima
Unit 8: Integral Calculus
- Indefinite Integration
- Standard Integrals
- Substitution
- Integration by Parts
- Partial Fractions
- Trigonometric Integrals
- Definite Integration
- Fundamental Theorem of Calculus
- Area Under Curve
Unit 9: Differential Equations
- Order & Degree
- Separation of Variables
- Homogeneous Differential Equations
- Linear Differential Equations
Unit 10: Coordinate Geometry
- Cartesian Coordinate System
- Distance Formula
- Section Formula
- Slope of Line
- Straight Line
- Angle Between Lines
- Distance of Point from Line
- Circle
- Parabola
- Ellipse
- Hyperbola
Unit 11: Three-Dimensional Geometry
- Coordinates in Space
- Distance Formula
- Section Formula
- Direction Ratios
- Direction Cosines
- Equation of Line
- Skew Lines
- Shortest Distance
Unit 12: Vector Algebra
- Scalars & Vectors
- Vector Addition
- Components of Vector
- Scalar Product
- Vector Product
Unit 13: Statistics and Probability
- Mean
- Median
- Mode
- Variance
- Standard Deviation
- Mean Deviation
- Probability
- Addition & Multiplication Theorem
- Bayes’ Theorem
- Random Variable
Unit 14: Trigonometry
- Trigonometric Functions
- Trigonometric Identities
- Inverse Trigonometric Functions
Physics
Unit 1: Units and Measurements
Unit 2: Kinematics
Unit 3: Laws of Motion
Unit 4: Work, Energy and Power
Unit 5: Rotational Motion
Unit 6: Gravitation
Unit 7: Properties of Solids and Liquids
Unit 8: Thermodynamics
Unit 9: Kinetic Theory of Gases
Unit 10: Oscillations and Waves
Unit 11: Electrostatics
Unit 12: Current Electricity
Unit 13: Magnetic Effects of Current and Magnetism
Unit 14: Electromagnetic Induction and Alternating Current
Unit 15: Electromagnetic Waves
Unit 16: Optics
Unit 17: Dual Nature of Matter and Radiation
Unit 18: Atoms and Nuclei
Unit 19: Electronic Devices
Unit 20: Experimental Skills
Chemistry
Physical Chemistry
Unit 1: Some Basic Concepts in Chemistry
Unit 2: Atomic Structure
Unit 3: Chemical Bonding and Molecular Structure
Unit 4: Chemical Thermodynamics
Unit 5: Solutions
Unit 6: Equilibrium
Unit 7: Redox Reactions and Electrochemistry
Unit 8: Chemical Kinetics
Inorganic Chemistry
Unit 9: Classification of Elements and Periodicity in Properties
Unit 10: p-Block Elements
Unit 11: d- and f-Block Elements
Unit 12: Coordination Compounds
Organic Chemistry
Unit 13: Purification and Characterisation of Organic Compounds
Unit 14: Some Basic Principles of Organic Chemistry
Unit 15: Hydrocarbons
Unit 16: Organic Compounds Containing Halogens
Unit 17: Organic Compounds Containing Oxygen
Unit 18: Organic Compounds Containing Nitrogen
Unit 19: Biomolecules
Unit 20: Principles Related to Practical Chemistry
JEE Advance Syllabus
Mathematics
Physics
Chemistry
Mentorship Programme