The Joint Entrance Examination (JEE) Mains is one of the most competitive and prestigious exams in India, which is an entry point for undergraduate courses in engineering in some of the top institutions such as the National Institutes of Technology (NITs), Indian Institutes of Information Technology (IIITs), and other centrally funded technical institutes. With such massive exams and their importance, aspirants need to have proper knowledge of the syllabus to plan a preparation strategy.
Given the immense significance of JEE Mains, a well-structured and disciplined approach to preparation can make a significant difference. The key to this preparation lies in planning—especially when it comes to understanding the syllabus in detail and identifying which topics to prioritize. Each section of the exam— Mathematics, Physics, and Chemistry—requires a focused effort, and Mathematics, being one of the three core subjects, can often be a deciding factor in a student’s overall score.
For JEE Mains 2025, the syllabus is largely similar to what it has been in past years but continues to change over time to adapt the ongoing trends in education and keep pace with modern technological
developments. Mathematics is one of the three subjects in the JEE Mains exam, along with Physics and Chemistry. It is a subject that requires rigorous preparation, problem-solving practice, and a deep understanding of concepts. In this blog, we will walk you through the mathematics syllabus for JEE Mains 2025 and provide useful insights to help you plan your preparation effectively.
Understanding the JEE Mains 2025 Exam Structure JEE Mains is conducted in two papers:
Paper 1 is for candidates seeking admission to B.Tech/B.E. courses and is conducted in a Computer-Based Test (CBT) mode.
Paper 2 is for candidates seeking admission to B.Arch./B. Planning courses.
Paper 1: To be held for candidates seeking admission by qualifying in only one Paper, the number of questions will be 90 as 30 from each subject-Physics, Chemistry and Mathematics. Paper 1 has a maximum score of 300 with 4 marks for the correct response and -1 mark in case of a wrong attempt.
Paper 2: Three sections as follows.
Mathematics – Part I. 20 objective and 5 subjective questions.
Aptitude Test – Part II. Questions -50.
Drawing Test -Part III. This is a test of a candidate’s drawing and sketching ability.
The JEE Mains syllabus 2025 is more or less the same as that of Class 11 and 12 curriculum, with some modifications to prepare the students to face the latest challenges in the engineering field.
JEE Mains Mathematics Syllabus 2025
The JEE Mains Mathematics syllabus for 2025 is largely based on the NCERT curriculum for classes 11 and 12, but it is essential to note that the level of difficulty in JEE Mains questions is higher than what is taught at school. The syllabus is divided into two main sections – Class 11 and Class 12, with topics from both contributing to the overall paper.
Here’s a detailed breakdown of the JEE Mains 2025 Mathematics syllabus:
Class 11 Mathematics Topics
- Sets, Relations, and Functions o Sets and their representations o Union, intersection, and difference of sets o Types of relations: reflexive, symmetric, transitive, etc.
o Functions and types of functions (one-to-one, onto, etc.)
- Complex Numbers and Quadratic Equations o Complex numbers and their properties
o Argand plane and polar representation of complex numbers o Quadratic equations and their solutions
- Matrices and Determinants o Types of matrices o Operations on matrices o Determinants and properties o Cramer’s rule and inverse of matrices
- Permutations and Combinations o Fundamental principle of counting o Permutations and combinations with repetitions o Binomial theorem and properties
- Mathematical Induction o Principle of mathematical induction o Applications to prove theorems
- Binomial Theorem o Binomial expansion for positive integral exponents o General and middle terms
- Sequences and Series o Arithmetic Progression (AP) and Geometric Progression (GP) o Sum of n terms in AP, GP, and their properties
- Limit, Continuity, and Differentiability o Limits of functions o Continuity and differentiability o Derivatives and applications
- Integral Calculus o Indefinite and definite integrals
o Techniques of integration (substitution, integration by parts) o Applications of integrals (area under curves)
- Differential Equations o Formation and solution of differential equations o Applications of differential equations
- Coordinate Geometry o Straight lines and their equations o Conic sections: Parabola, ellipse, and hyperbola
- Three-Dimensional Geometry o Coordinates in 3D
o Distance formula, direction cosines and ratios o Equations of lines and planes
- Vector Algebra
o Vectors and their types o Scalar and vector products o Applications of vectors in geometry
- Statistics and Probability o Measures of central tendency (mean, median, mode) o Probability and theorems o Conditional probability and Bayes’ theorem
Class 12 Mathematics Topics
- Relations and Functions o Types of functions (one-one, onto, composite functions) o Binary operations, inverse functions
- Inverse Trigonometric Functions o Inverse of trigonometric functions
o Properties and graphs of inverse trigonometric functions
- Matrices and Determinants o Matrices and operations o Determinants, inverse of a matrix o Application of matrices in solving linear equations
- Continuity and Differentiability o Continuity of functions
o Differentiability and derivatives of composite functions o Mean value theorem and its applications
- Application of Derivatives o Rate of change, tangents and normals o Increasing and decreasing functions
o Maxima and minima
- Integrals o Definite and indefinite integrals
o Techniques of integration, applications of integration (area under curves) o Differential equations
- Vector Algebra o Vectors, scalar and vector products o Applications of vectors in geometry
- Three-Dimensional Geometry o Direction cosines and direction ratios o Equation of a plane, straight lines in space
o Distance between points, shortest distance between skew lines
- Linear Programming o Linear programming problems o Simplex method
- Probability o Probability and its applications o Conditional probability and Bayes’ theorem o Probability distribution, Binomial distribution
- Differential Equations o Formation and solution of differential equations o Applications in physics and other fields
- Relations, Functions, and Graphs o Various types of graphs for functions o Properties of functions and their behaviours
Key Topics to Focus on for JEE Mains 2025
While the entire syllabus is essential, some topics are often emphasized more heavily in JEE Mains. These include:
- Calculus: Limits, continuity, differentiation, integration, and application of derivatives.
- Coordinate Geometry: Straight lines, circles, conic sections, and 3D geometry.
- Algebra: Complex numbers, matrices, determinants, permutations, combinations, and binomial theorem.
- Probability and Statistics: This is a favourite for objective-type questions.
- Vectors and 3D Geometry: Important for questions involving space geometry.
Tips for Preparing for JEE Mains 2025 Maths
- Master the Basics: Ensure a strong foundation in Class 11 topics, as they serve as the building blocks for Class 12 topics.
- Practice Regularly: JEE Mains has a vast syllabus, so regular practice is key. Solve previous years’ question papers and take mock tests.
- Understand the Concepts: Rather than memorizing formulas, focus on understanding the derivations and concepts behind them.
- Time Management: As the exam is time-bound, practicing time management will help you solve questions more efficiently during the actual exam.
- Revision: Make sure to revise periodically to keep all the formulas, theorems, and concepts fresh in your mind.
Conclusion
The mathematics syllabus for JEE Mains 2025 is challenging, but with a systematic approach, it is entirely manageable. By understanding the core concepts, practicing regularly, and focusing on time management, aspirants can excel in the mathematics section of JEE Mains. The key to success lies in staying organized, sticking to the syllabus, and practicing relentlessly. With the right approach and determination, cracking JEE Mains 2025 is within reach for all serious aspirants. Best of luck!
Click here to check the full syllabus : 2024102841.pdf
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