Are you aiming for a top rank in IIT JEE 2025? If yes, then mastering Mathematics is non-negotiable. Maths is not just another subject in JEE. It decides how far you will go in the rank list. Every question in JEE Maths tests your logic, accuracy, and time management. Many students fear this section, but with the right approach, you can turn it into your strength.
This guide gives you a clear and detailed breakdown of the IIT JEE Maths syllabus. It covers all important topics from Class 11 and Class 12. You will find topic-wise lists, best books, preparation tips, and a smart study plan. If you feel confused about where to begin or what to revise, this article is your solution.
Read it carefully, plan your study time, and follow the tips given. Maths is tough only until you make it your daily habit.
IIT JEE Maths Syllabus Breakdown (Class 11 & 12)
| Unit | Title | Content |
| UNIT 1 | SETS, RELATIONS AND FUNCTIONS | Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relations, type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions. |
| UNIT 2 | COMPLEX NUMBERS AND QUADRATIC EQUATIONS | Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and coefficients, nature of roots, the formation of quadratic equations with given roots. |
| UNIT 3 | MATRICES AND DETERMINANTS | Matrices, algebra of matrices, type of matrices, determinants and matrices of order two and three, evaluation of determinants, area of triangles using determinants; Adjoint and inverse of a square matrix; Test of consistency and solution of simultaneous linear equations in two or three variables using matrices. |
| UNIT 4 | PERMUTATIONS AND COMBINATIONS | The fundamental principle of counting, permutations and combinations; Meaning of P(n, r) and C(n, r). Simple applications. |
| UNIT 5 | BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS | Binomial theorem for a positive integral index, general term and middle term and simple applications |
| UNIT 6 | SEQUENCE AND SERIES | Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M. |
| UNIT 7 | LIMIT, CONTINUITY AND DIFFERENTIABILITY | Real–valued functions, algebra of functions; polynomial, rational, trigonometric, logarithmic and exponential functions; inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two, Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable |
| UNIT 8 | INTEGRAL CALCULUS | Integral as an anti-derivative, Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves by simple curves in standard forms. |
| UNIT 9 | DIFFERENTIAL EQUATIONS | Ordinary differential equations, their order and degree, the solution of differential equations by the method of separation of variables, and the solution of a homogeneous and linear differential equation of the type. |
| UNIT 10 | CO-ORDINATE GEOMETRY | Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis. Straight line: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line, co-ordinate of the centroid, orthocentre and circumcentre of a triangle. Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms. |
| UNIT 11 | THREE DIMENSIONAL GEOMETRY | Coordinates of a point in space, the distance between two points, section formula, direction ratios and direction cosines and the angle between two intersecting lines. Equation of a line; Skew lines, the shortest distance between them and its equation. |
| UNIT 12 | VECTOR ALGEBRA | Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional spaces, scalar and vector products. |
| UNIT 13 | STATISTICS AND PROBABILITY | Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data, calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variable. |
| UNIT 14 | TRIGONOMETRY | Trigonometric identities and trigonometric functions, inverse trigonometric functions their properties. |
JEE Mains Maths Deleted Syllabus 2025
| Topic | Details |
| Mathematical Induction | Removed from the syllabus. |
| Three Dimensional Geometry | Excluded from the updated syllabus. |
| Mathematical Reasoning | No longer part of the JEE syllabus. |
| Triangle Inequality | This topic has been dropped. |
| Square Root of a Complex Number | Excluded from the syllabus. |
| Elementary Transformations | No longer included in the syllabus. |
| Determinants | Properties of determinants are removed. |
| Binomial Coefficients | Properties are no longer part of the syllabus. |
| Special Series | Sum up to ‘n’ terms of series (Sₙ, Sₙ₂, Sₙ₃) and Arithmetico-Geometric progression are excluded. |
| Mean Value Theorems | Rolle’s and Lagrange’s Mean Value Theorems are no longer in the syllabus. |
| Integral as Limit of Sum | Excluded from the syllabus. |
| Translation of Axes | Removed from the syllabus. |
| Family of Lines | Equations for lines passing through the intersection of two lines are dropped. |
| Circle Geometry | Conditions for tangency to a circle and tangent points (y = mx + c) are removed. |
| Line and Plane Equations | Equations of a line and a plane in different forms, and intersection and coplanarity conditions are excluded. |
| Scalar and Vector Triple Product | No longer included in the syllabus. |
| Probability and Binomial Distribution | Bernoulli trials and Binomial distribution topics are removed. |
| Heights and Distances | This topic is no longer part of the syllabus. |
Best Books & Resources for JEE Maths (2025)
| Unit | Best Books |
| Algebra | Higher Algebra, Hall and Knight |
| Algebra, Arihant | |
| Higher Algebra, Barnard & Child | |
| A Textbook of Matrices, Shanti Narayan | |
| Trigonometry | Trigonometry, S L Loney |
| Calculus | Calculus & Analytic Geometry, Thomas & Finney |
| Integral Calculus, Arihant Prakashan | |
| Differential Calculus, A Das Gupta | |
| Problems in Calculus of One Variable, I. A. Maron | |
| Calculus, J. Edward | |
| Coordinate Geometry | Textbook of Coordinate Geometry, A. Majeed |
| Vector Algebra, Shanti Narayan | |
| Coordinate geometry, Dr.Gorakh Prasad |
Preparation Strategy for JEE Maths (2025)
Mathematics in JEE is a subject that challenges both speed and accuracy. The key to success in this subject is consistent practice, understanding core concepts, and applying them efficiently during the exam. Below are some detailed tips and strategies that can help you improve your JEE Maths preparation.
1) Understand the Syllabus and Weightage
Before you start studying, it’s important to understand the JEE Mathematics syllabus. Break it down into topics and sub-topics, and identify the chapters that are frequently tested. Chapters like Algebra, Calculus, and Coordinate Geometry are known to carry significant weightage, so allocate more time to these.
- Focus on High-Weightage Chapters: While it’s essential to cover all topics, focus more on high-weightage chapters that appear frequently in exams. For instance, Calculus (Limits, Differentiation, Integration) and Algebra (Quadratic Equations, Progressions, Complex Numbers) are often asked in both direct and indirect forms.
- Use NCERT as a Base: The NCERT textbooks for Class 11 and 12 should be your foundation. These books provide clear explanations of basic concepts and are extremely helpful for solving fundamental problems.
2) Practice Regularly
Mathematics is all about practice. The more problems you solve, the better you’ll get at it. Regular practice not only helps improve your speed but also reinforces concepts in your memory.
- Set Daily Goals: Plan your daily study schedule with specific goals. For example, decide that you’ll solve at least 10 problems from Quadratic Equations or complete a set of integration problems each day. This structured approach ensures you’re not overwhelmed and are steadily progressing through your syllabus.
- Solve Previous Year Papers: Solving previous year’s papers is one of the most effective ways to prepare for JEE Mains. It helps you understand the pattern, difficulty level, and important topics that are commonly asked. Aim to solve at least 5-6 years of previous papers.
- Mock Tests and Time Management: Take mock tests under exam conditions to build time-management skills. Set a timer and attempt the paper as you would on the day of the exam. This helps you get comfortable with the pressure and time constraints of the actual exam.
Action Plan
- Solve at least 20-30 problems daily, focusing on both straightforward and challenging questions.
- Use previous years’ papers to identify patterns and focus on chapters that consistently feature in exams.
- Incorporate Phodu Club’s JEE Mains Test Series into your preparation. This test series offers high-quality mock tests designed specifically for JEE Mains, simulating the actual exam’s difficulty level and format. These tests provide detailed solutions, performance analytics, and insights into areas of improvement, making them an excellent tool for structured practice.
- Use a timer during practice sessions to improve your speed and learn to manage time effectively in the exam.
3) Master Key Concepts
While practice is important, understanding key concepts is the foundation of good performance. Relying on rote memorization of formulas will not help in the long run, as JEE Mains tests your problem-solving skills and conceptual understanding.
- Focus on Core Topics: For example, in Calculus, understanding the concepts of limits, differentiation, and integration is essential. Similarly, in Algebra, focus on understanding how to solve quadratic equations, progressions, and matrices. Once you have a clear understanding of the concepts, you can easily apply them in different contexts.
- Clarify Doubts Immediately: Don’t let any doubts linger. If you’re unsure about a particular concept or method, seek clarification right away. You can discuss with teachers, friends, or look for explanations online. Clearing doubts as soon as they arise will prevent them from accumulating and hindering your progress.
- Use Reference Books for Advanced Problems: After mastering basic concepts, move on to reference books like “Problems in Calculus of One Variable” by I.A. Maron, or “Higher Algebra” by Hall and Knight, which offer advanced-level problems. These books will help you gain a deeper understanding of concepts and solve complex problems that are often asked in JEE Mains.
4) Time Management
Time management during preparation and in the exam is crucial. In JEE Mains, you’ll need to solve 75 questions in 3 hours, which means you have approximately 1 minute and 24 seconds per question. Efficient time management is key to ensure you can attempt all questions without rushing.
- Prioritize Questions: While attempting the paper, start with questions you find easiest and fastest to solve. This boosts your confidence and helps you secure marks early. Leave difficult questions for later.
- Don’t Spend Too Much Time on a Single Question: It’s easy to get stuck on a tough question, but wasting too much time on one can reduce your overall score. If you can’t solve a problem in a minute or two, move on and come back to it later if time permits.
- Practice with a Timer: During your practice sessions and mock tests, use a timer to keep track of time. This simulates the exam environment and helps you get used to answering questions within a set time frame.
5) Focus on Problem-Solving Techniques
JEE Mains Maths questions are not always straightforward and often require a mix of concepts to solve. Developing problem-solving techniques and strategies can make a big difference in your performance.
- Break Down Complex Problems: If you encounter a complex problem, break it down into smaller, manageable parts. Understand what the question is asking and approach it step by step. Avoid trying to solve it all at once.
- Learn to Eliminate Options: Many JEE questions come in the form of multiple-choice questions (MCQs). If you’re unsure about the answer, try to eliminate the obviously incorrect options first. This can increase your chances of selecting the right answer by narrowing down the choices.
- Use Shortcuts and Formulae: As you solve more problems, you’ll start identifying patterns and shortcuts that can save time during the exam. For instance, knowing quick methods for solving quadratic equations, or shortcut formulas for areas and volumes, can speed up your problem-solving process.
6) Review Mistakes and Analyze Performance
The best way to improve your Math skills is to learn from your mistakes. Every time you make an error, take the time to understand why it happened and how you can avoid it in the future. This helps build a deeper understanding of the concepts and improves your problem-solving abilities.
- Track Mistakes in a Journal: Maintain a notebook or journal to track all the mistakes you make during practice. Review this regularly to avoid repeating them.
- Analyze Mock Test Performance: After each mock test, thoroughly analyze your performance. Identify areas where you lost marks and focus on improving those topics. This helps you track your progress and ensures you’re continuously improving.
7) Maintain Consistency and Stay Motivated
Consistency is the key to success. It’s easy to get discouraged when things get tough, but maintaining a steady study routine is essential for long-term success.
- Study Regularly: Rather than cramming at the last minute, follow a steady study schedule. Consistent, gradual preparation will yield better results than last-minute preparation. Aim for at least 3-4 hours of focused Maths study every day.
- Stay Positive and Take Breaks: The JEE preparation journey can be stressful, so it’s important to stay positive and take short breaks to recharge. Breaks help reduce mental fatigue and improve focus when you return to your study material.
- Celebrate Small Wins: Celebrate small milestones in your preparation, such as completing a chapter or solving a set of difficult problems. This helps maintain motivation and gives you a sense of accomplishment.
8) Health and Well-being
Lastly, don’t ignore your physical and mental health during the preparation process. A healthy body and mind are crucial for optimal performance.
- Sleep Well: Never compromise on sleep. Ensure you get 7-8 hours of sleep each night. A well-rested mind works more effectively and retains information better.
- Exercise Regularly: Physical activity helps reduce stress and keeps your body active. Even a short walk or stretch between study sessions can be beneficial.
- Eat Healthy: Eating a balanced diet with sufficient nutrients can enhance your focus and concentration. Avoid too much caffeine or junk food, as they can lead to energy crashes.
Conclusion
Scoring well in IIT JEE Maths is possible with clear concepts, regular practice, and the right study material. This subject is not about memorizing formulas but about understanding their application. Start with NCERT books to build your foundation, then move on to advanced books and previous year questions. Solve problems daily, revise weekly, and test yourself regularly with mock exams.
Maths can be your highest-scoring subject if you stay consistent and avoid common mistakes. Focus more on topics like Calculus, Algebra, and Coordinate Geometry, as they carry more weight in the exam. Use your time wisely and don’t leave any topic completely.
Remember, JEE Maths rewards those who think clearly under pressure. Stay calm, stay focused, and practice with purpose. With the right preparation strategy and the tips shared in this article, you can face the Maths section with full confidence and move one step closer to your IIT dream.
