The syllabus for the IIT-JEE (Indian Institutes of Technology Joint Entrance Examination), which is now commonly referred to as the JEE (Joint Entrance Examination), is comprehensive and covers a wide range of topics in physics, chemistry, and mathematics. The JEE is conducted in two stages: JEE Main and JEE Advanced. Below is an overview of the syllabus for both stages:

JEE Main Syllabus:

The JEE Main is the first stage of the examination and is the qualifying exam for JEE Advanced. It consists of three papers: Paper 1 (for B.E./B.Tech), Paper 2 (for B.Arch), and Paper 3 (for B.Planning). Here is the syllabus for Paper 1 (B.E./B.Tech):

Mathematics:

1. Sets, Relations, and Functions
2. Complex Numbers and Quadratic Equations
3. Matrices and Determinants
4. Permutations and Combinations
5. Mathematical Induction
6. Binomial Theorem and Its Applications
7. Sequences and Series
8. Limit, Continuity, and Differentiability
9. Integral Calculus
10. Differential Equations
11. Coordinate Geometry
12. Three-Dimensional Geometry
13. Vector Algebra
14. Statistics and Probability
15. Trigonometry
16. Mathematical Reasoning

Physics:

1. Physics and Measurement
2. Kinematics
3. Laws of Motion
4. Work, Energy, and Power
5. Rotational Motion
6. Gravitation
7. Properties of Solids and Liquids
8. Thermodynamics
9. Kinetic Theory of Gases
10. Oscillations and Waves
11. Electrostatics
12. Current Electricity
13. Magnetic Effects of Current and Magnetism
14. Electromagnetic Induction and Alternating Currents
15. Electromagnetic Waves
16. Optics
17. Dual Nature of Matter and Radiation
18. Atoms and Nuclei
19. Electronic Devices
20. Communication Systems

Chemistry:

1. Some Basic Concepts in Chemistry
2. States of Matter
3. Atomic Structure
4. Chemical Bonding and Molecular Structure
5. Chemical Thermodynamics
6. Solutions
7. Equilibrium
8. Redox Reactions and Electrochemistry
9. Chemical Kinetics
10. Surface Chemistry
11. Classification of Elements and Periodicity in Properties
12. General Principles and Processes of Isolation of Metals
13. Hydrogen
14. Block Elements (Alkali and Alkaline Earth Metals)
15. p-Block Elements
16. d- and f-Block Elements
17. Coordination Compounds
18. Environmental Chemistry
19. Purification and Characterization of Organic Compounds
20. Some Basic Principles of Organic Chemistry
21. Hydrocarbons
22. Organic Compounds Containing Halogens
23. Organic Compounds Containing Oxygen
24. Organic Compounds Containing Nitrogen
25. Polymers
26. Biomolecules
27. Chemistry in Everyday Life
28. Principles Related to Practical Chemistry

JEE Advanced Syllabus:

The JEE Advanced is the second stage of the examination and is more challenging. It covers the same subjects as JEE Main but in greater depth and complexity. The syllabus for JEE Advanced is extensive and includes topics from the JEE Main syllabus, plus additional advanced topics.

Please note that the syllabus for both JEE Main and JEE Advanced may be subject to minor changes from year to year, so it’s important to refer to the official JEE website or the examination conducting authority for the most up-to-date and detailed information on the syllabus. Additionally, many coaching institutes provide comprehensive study materials and resources to help students prepare for these exams.