The IIT Roorkee is expected to release the JEE Advanced Mathematics Syllabus 2026 on its official website. The JEE Advanced Mathematics Syllabus 2026 is the key to JEE Advanced preparation.
The JEE Advanced Math Syllabus 2026 will include the concepts of both Class 11 and Class 12. The topics covered are Algebra, Calculus, Coordinate Geometry, Trigonometry, Vectors, Probability, and Statistics. With proper adherence to this syllabus and along with a well-timed preparation strategy, candidates can achieve top scores.
Key Summary
- Mathematics makes up roughly one-third of the exam. Some of the important topics are listed below:
- Algebra (25–30%) – Complex numbers, quadratic equations, sequences and series, binomial theorem, and logarithms. Mastering these topics makes other multi-step problems easier.
- Calculus (25–30%) – Differential Calculus covers limits, continuity, derivatives, and maxima/minima. Integral Calculus focuses on integration techniques and applications like areas and volumes. Regular practice here is essential for scoring.
- Analytical Geometry (15–20%) – Straight lines, circles, parabolas, ellipses, and hyperbolas. Mostly formula-based, but careful application is required.
- Vectors and 3D Geometry (10–12%) – Vector algebra, dot and cross products, and 3D geometry. Clear conceptual understanding makes these questions straightforward.
- Probability (5–8%) – Permutations, combinations, conditional probability, and Bayes’ theorem. Tests logical thinking more than memorization.
- Trigonometry (5–7%) – Identities, equations, and inverse functions. Knowing how to apply formulas is more important than rote learning.
- Matrices and Determinants (3–5%) – Smaller chapters but scoring. Mostly about solving linear equations and understanding transformations.
- Strategy: Strong conceptual clarity + regular problem-solving. Focus on understanding, not just memorization, and Maths can become a strong section for you.
Also Read
- What is the JEE Advanced Mathematics Syllabus?
- JEE Advanced Mathematics Syllabus Section-wise Weightage 2026
- JEE Advanced Mathematics Syllabus 2026 – Books & Weightage
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- JEE Advanced Mathematics Syllabus Important Questions 2026
- Preparation Tips for JEE Advanced Mathematics Syllabus
- JEE Advanced Mathematics Syllabus 2026 FAQs
What is the JEE Advanced Mathematics Syllabus?
The JEE Advanced Mathematics syllabus is designed to test conceptual understanding, problem-solving, and logical thinking. It includes topics from both Class 11 and Class 12, covering Algebra, Calculus, Geometry, Trigonometry, Vectors, Probability, and more.
| Class 11 Topics | Class 12 Topics |
|---|---|
| Sets, Relations & Functions | Relations & Functions (Advanced) |
| Complex Numbers | Inverse Trigonometric Functions |
| Quadratic Equations | Matrices & Determinants |
| Permutations & Combinations | Differential Calculus (Limits, Continuity, Differentiability, Applications of Derivatives) |
| Binomial Theorem | Integral Calculus (Definite & Indefinite Integrals, Area under curves) |
| Sequences & Series | Differential Equations |
| Straight Lines & Circles | 3D Geometry (Lines, Planes, Direction Ratios, Distances, Angles) |
| Parabola, Ellipse, Hyperbola | Vector Algebra |
| Mathematical Induction | Probability |
| Trigonometric Functions & Identities | Statistics (Mean, Variance, Standard Deviation) |
| Introduction to Limits & Derivatives | Linear Programming |
| Probability (Basics) | Mathematical Reasoning |
| Subject | NCERT Class 11 Book | NCERT Class 11 Solution | NCERT Class 12 Book | NCERT Class 12 Solution |
|---|---|---|---|---|
| Mathematics | Download PDF | Download PDF | Download PDF | Download PDF |
JEE Advanced Mathematics Syllabus: Algebra Concepts Overview
Algebra forms the foundation of JEE Advanced Mathematics Syllabus. It tests your ability to manipulate numbers, equations, and expressions. Questions range from simple calculations to complex problem-solving.
| Concept | Details |
|---|---|
| Complex Numbers | Understanding imaginary numbers, modulus, argument, and polar form |
| Quadratic Equations | Solving equations, nature of roots, sum and product of roots |
| Matrices & Determinants | Matrix operations, inverse, solving systems of linear equations |
| Counting & Arrangements | Permutations, combinations, factorials, basic probability |
| Sequences & Series | Arithmetic progression, geometric progression, special sums |
| Binomial Expansions & Induction | Expansion of powers, general term, proving statements by induction |
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JEE Advanced Mathematics Syllabus: Calculus Concepts Overview
Calculus is a high-weightage area that tests understanding of change, rates, and areas. It includes derivatives, integrals, and differential equations. Strong calculus skills are essential for scoring high in JEE Advanced Exam.
| Concept | Details |
|---|---|
| Limits & Continuity | Understanding limits, continuity of functions, and problem-solving techniques |
| Differentiation | Derivatives, tangent and normal, applications to maxima and minima |
| Integration | Indefinite and definite integrals, area under curves, standard formulas |
| Differential Equations | First-order and linear differential equations with practical applications |
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JEE Advanced Mathematics Syllabus: Coordinate Geometry Concepts Overview
Coordinate Geometry tests your knowledge of points, lines, curves, and planes. It requires strong visualization and analytical skills. Both 2D and 3D problems appear, including distances, angles, and intersections.
| Concept | Details |
|---|---|
| Lines & Circles | Equations of lines, circle properties, tangents, chords |
| Conic Sections | Parabola, ellipse, hyperbola – properties and standard equations |
| 3D Geometry | Lines and planes in space, direction ratios, angles, distances |
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JEE Advanced Mathematics Syllabus: Vectors Concepts Overview
Vectors test your ability to solve problems using magnitude and direction. They are often combined with geometry and mechanics. Vector questions are usually high-scoring if concepts are clear.
| Concept | Details |
|---|---|
| Vector Operations | Addition, subtraction, dot product, cross product |
| Scalar & Triple Product | Applications in volume, area, and geometric problems |
| Geometry Applications | Distance between points/lines, angles between vectors, projections |
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JEE Advanced Mathematics Syllabus: Trigonometry Concepts Overview
Trigonometry tests knowledge of angles, functions, and identities. It is useful for solving both algebraic and geometric problems. Questions often involve identities, equations, and inverse functions.
| Concept | Details |
|---|---|
| Trigonometric Functions | Sine, cosine, tangent, secant, cosecant, cotangent |
| Identities & Equations | Fundamental identities, factorization, solving equations |
| Inverse Trigonometry | Principal values, solving equations using inverse functions |
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JEE Advanced Mathematics Syllabus: Probability & Statistics Concepts Overview
Probability and statistics test reasoning with data and randomness. Questions can be both conceptual and calculation-based. They are often linked with combinatorics in algebra.
| Concept | Details |
|---|---|
| Probability Rules | Basic probability, conditional probability, Bayes’ theorem |
| Random Variables | Discrete distributions, expectation, variance |
| Statistics | Mean, median, mode, variance, standard deviation |
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JEE Advanced Mathematics Sylabus: Linear Programming Concepts Overview
Linear Programming tests optimization and problem-solving skills. It involves formulating constraints and finding maximum or minimum values. Questions are often graphical but require careful analysis.
| Concept | Details |
|---|---|
| Problem Formulation | Defining variables, constraints, and objective function |
| Feasible Region | Graphical method, boundaries, and shaded region analysis |
| Optimization | Maximizing or minimizing the objective function using feasible solutions |
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JEE Advanced Mathematics Syllabus: Mathematical Reasoning Concepts Overview
Mathematical Reasoning tests logical thinking and analytical skills. It involves interpreting statements and solving problems systematically. This section is useful for developing overall problem-solving strategies.
| Concept | Details |
|---|---|
| Logical Statements | Understanding statements, negation, converse, inverse |
| Implications & Reasoning | Direct and indirect implications, logical deductions |
| Problem-Solving Strategies | Analyzing patterns, conclusions, and proofs |
JEE Advanced Mathematics Syllabus Section-wise Weightage 2026
JEE Advanced Mathematics Syllabus is aimed at testing problem-solving, conceptual clearness, and analytical ability. The content is divided over Algebra, Calculus, Geometry, Trigonometry, Probability, and Vectors. The paper includes 1-mark and 2-mark questions in the shape of MCQs, MSQs, and Numerical Answer Type (NATs).
| Section | Important Topics | Types of Questions | Approximate Weightage |
|---|---|---|---|
| Algebra | Complex Numbers, Quadratic Equations, Sequences & Series, Binomial Theorem, Matrices & Determinants, Permutations & Combinations | 1-mark MCQs, 2-mark MCQs, NATs | 20% |
| Calculus | Limits, Continuity & Differentiability, Differentiation, Application of Derivatives, Indefinite & Definite Integrals, Differential Equations | 1-mark MCQs, 2-mark MCQs, NATs | 30% |
| Coordinate Geometry | Straight Lines, Circles, Parabola, Ellipse, Hyperbola, 3D Geometry (Lines & Planes) | 1-mark MCQs, 2-mark MCQs, NATs | 20% |
| Trigonometry | Trigonometric Ratios & Identities, Equations, Inverse Trigonometric Functions, Properties of Triangles | 1-mark MCQs, 2-mark MCQs | 10% |
| Vectors & 3D | Vector Algebra, Scalar & Vector Products, Application in Geometry | 1-mark MCQs, 2-mark MCQs, NATs | 10% |
| Probability & Statistics | Probability, Conditional Probability, Bayes’ Theorem, Mean, Median, Mode, Standard Deviation | 1-mark MCQs, 2-mark MCQs, NATs | 10% |
Also Read
JEE Advanced Previous Year Question Paper
JEE Advanced Mathematics Syllabus 2026 – Books & Weightage
JEE Advanced Mathematics Syllabus is not about mugging formulas — it’s about concept clarity + problem-solving speed. The syllabus covers everything from Algebra and Calculus to Geometry, Trigonometry, Vectors, and Probability.Below are the recommended books with insights on their importance and approximate weightage in the exam.
JEE Advanced Mathematics Syllabus – Algebra Books
The JEE Advanced Mathematics Syllabus is like the foundation of Algebra. Every year, almost one-third of the questions come from here. You’ll find questions on complex numbers, permutations & combinations, matrices, and probability popping up again and again.
| Book Title | Author | Why Recommended / Data Insights |
|---|---|---|
| Higher Algebra | Hall & Knight | Builds strong concepts; Algebra makes up ~30–35% of the paper. |
| Problems in Algebra | Vikas Gupta & Pankaj Joshi | Great for advanced-level JEE-style problems. |
| NCERT Maths (Class 11 & 12) | NCERT | Perfect to clear fundamentals, especially quadratic equations & series. |
JEE Advanced Mathematics Syllabus – Calculus Books
JEE Advanced Mathematics Syllabus Calculus carries the highest weightage (25–30%). Topics like limits, continuity, derivatives, and integrals appear almost every year. If you can handle graphs and application-based problems, Calculus can give you a real advantage.
| Book Title | Author | Why Recommended / Data Insights |
|---|---|---|
| Differential Calculus | Amit M Agarwal (Arihant) | Best for limits, continuity, differentiability — high recurrence in PYQs (~25–30% weightage). |
| Integral Calculus | Amit M Agarwal (Arihant) | Strong for definite & indefinite integrals, area problems. |
| Problems in Calculus of One Variable | I.A. Maron | Good for conceptual + challenging problems, common in JEE Advanced. |
JEE Advanced Mathematics Syllabus – Coordinate Geometry Books
JEE Advanced Mathematics Syllabus Coordinate Geometry combines visual interpretation with algebraic problem-solving. It typically holds 15–20% weightage in JEE Advanced Exam and tests concepts like straight lines, circles, conics, and 3D geometry.
| Book Title | Author | Why Recommended / Data Insights |
|---|---|---|
| Coordinate Geometry | S.L. Loney | Classical book, strong for straight lines & circles (~20% weightage). |
| IIT Mathematics (Geometry Part) | M.L. Khanna | Good for conics and 3D geometry — frequent application-type questions. |
JEE Advanced Mathematics Syllabus – Trigonometry Books
JEE Advanced Mathematics Syllabus Trigonometry is one of the shortest but it carries around 8–10% weightage, it is essential since its formulas are often embedded in calculus and algebra problems. Mastery of identities, equations, and inverse trigonometry provides an edge in solving mixed-concept questions.
| Book Title | Author | Why Recommended / Data Insights |
|---|---|---|
| Plane Trigonometry (Part I & II) | S.L. Loney | Gold standard for trigonometric identities, equations, and transformations. |
| Problems in Trigonometry | A.M. Govorov | Good for objective problems that mirror JEE style. |
JEE Advanced Mathematics Syllabus – Probability & Statistics Books
JEE Advanced Mathematics Syllabus Probability and Statistics usually contribute 10–12% of the exam and test analytical reasoning as much as formula application. With recurring questions on Bayes’ theorem, distributions, and variance, this section is a balance of concept-based and numerical problems.
| Book Title | Author | Why Recommended / Data Insights |
|---|---|---|
| Problems in Probability | H.C. Verma | Excellent for foundational concepts; Probability contributes ~10–12% of JEE Advanced marks. |
| IIT Mathematics | M.L. Khanna | Covers probability and statistics with JEE Advanced-level problems. |
JEE Advanced Mathematics Syllabus – Vectors & 3D Geometry Books
JEE Advanced Mathematics Syllabus topic Vectors and 3D Geometry, though smaller in syllabus, contribute around 10–12% of the JEE Advanced Mathematics paper. The problems are mainly numerical, involving vector algebra, planes, and lines. With systematic practice and precision, this section becomes highly scoring.
| Book Title | Author | Why Recommended / Data Insights |
|---|---|---|
| Vectors & 3D Geometry | Arihant Publications | Comprehensive, matches JEE Advanced patterns. |
| NCERT Mathematics (Class 12) | NCERT | Basics of vector algebra and 3D geometry often appear as direct questions. |
JEE Advanced Mathematics Syllabus – Weightage Insights (Based on PYQs)
JEE Advanced Mathematics Syllabus has a balanced distribution, but Algebra and Calculus dominate. Geometry and Vectors together form another 25–30%, while Probability and Trigonometry complete the rest. This weightage distribution helps in planning time for preparation and practice.
| Section | High-Weightage Topics | Common Question Types | Data Insights |
|---|---|---|---|
| Algebra | Complex Numbers, Matrices, P&C, Probability | Conceptual MCQs, NATs | ~30–35% of Maths questions; matrices & probability repeat often. |
| Calculus | Limits, Continuity, AOD, Integrals, DE | Application-based NATs, Graph Problems | ~25–30% weightage; AOD & Definite Integrals dominate. |
| Coordinate Geometry | Circles, Parabola, Ellipse | Diagram-based MCQs | ~20% weightage; circle + parabola most frequent. |
| Trigonometry | Identities, Inverse Trig, Equations | MCQs, Short NATs | ~10% weightage; often used in combo problems. |
| Vectors & 3D | Vector Algebra, Planes, Lines | Numerical NATs | ~10–12% weightage; vector product questions are common. |
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JEE Advanced Mathematics Syllabus Important Questions 2026
JEE Advanced Mathematics syllabus is framed to test your conceptual understanding, problem-solving skills, and logical reasoning. Although the syllabus includes all the fundamental topics of Maths, there are certain chapters which always hold greater weightage in accordance with PYQs and trends.
Algebra and Calculus combined account for virtually 50% of the paper, hence it is important to master them. Vectors & 3D Geometry, although with less syllabus, consistently contribute 10–12% weightage with very good scoring numerical problems. Probability and Trigonometry also appear every year with average weightage.
| Section | High-Weightage Topics | Common Question Types | Data Insights (Based on PYQs & Mocks) |
|---|---|---|---|
| Algebra | Quadratic Equations, Matrices, Determinants, Complex Numbers | Concept-based MCQs, Problem-solving NATs | Algebra contributes ~20–25%; matrices and determinants appear almost every year in 2-mark NATs. |
| Calculus | Limits, Continuity, Differentiation, Definite & Indefinite Integration | Application-based MCQs, Calculations | Calculus alone accounts for ~30% of the paper; definite integration & application of derivatives dominate. |
| Coordinate Geometry | Straight Lines, Circles, Parabola, Ellipse, Hyperbola | Diagram interpretation MCQs, NATs | Conic sections form ~8–10% weightage; circle & parabola questions repeat frequently. |
| Vectors & 3D Geometry | Vector Algebra, Equation of Planes & Lines | Numerical NATs, Analytical MCQs | Despite fewer topics, contributes ~10–12%; often direct but calculation-heavy. |
| Probability & Statistics | Probability, Conditional Probability, Bayes Theorem | Application-based MCQs, Word Problems | Probability has ~7–8% weightage; Bayes theorem is a favorite for tricky problems. |
| Trigonometry | Trigonometric Ratios, Equations, Identities, Inverse Trig | Simplification MCQs, Short NATs | Small portion (~5%); usually quick-scoring if practiced well. |
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Preparation Tips for JEE Advanced Mathematics Syllabus
In order to crack the JEE Advanced Mathematics Exam, you must first know the syllabus clearly. All the toppers keep reiterating that the JEE Advanced Mathematics syllabus is logical and well-structured, but you must understand it deeply. Knowing which topics carry more weight helps you design your study plan and focus on high-return areas.
1.Create a Study Plan
Make a schedule with daily, weekly, and monthly targets. Spend more time on subjects you are weak in while reviewing the simple ones on a regular basis. All toppers recommend 4–5 hours of study every day with regular problem-solving, particularly for Maths, for which practice is paramount.
2.Follow Standard Books & Sources
Don't take too many books. Rather, follow 1–2 strongly recommended ones for each topic. Some must recommended materials are:
- IIT Mathematics by M.L. Khanna (problem practice)
- Cengage series / Arihant series (concepts + solved examples)
- Previous Years' JEE Advanced Papers (gold standard for practice)
- One book mastered well is better than many books left half done.
3.Solve Previous Year Papers & Mock Tests
Solving at least the past 10 years Preivous JEE Advanced Maths papers is essential. This gives you an idea of the pattern of the exam, the level of difficulty, and the frequently recurring question types. Solve mock tests every week, and after every test, go through your errors—this is where actual improvement takes place.
4.Concentrate on Key Topics
Although every chapter is crucial, some topics get tested more often and have greater weightage. Toppers suggest extra focus on:
- Calculus (Differentiation, Integration, Limits, Application of Derivatives, Differential Equations)
- Coordinate Geometry & 3D Geometry
- Probability & Statistics
- Vectors
- Complex Numbers
- Matrices & Determinants
These concepts tend to get direct questions and can be scored if practiced well.
5.Revise Regularly
Maths concepts lose their memory if not revised. Make short notes with formulas, common results, and shortcut tricks. Revise them weekly, especially for formula-based chapters such as Trigonometry, Probability, and Algebra. Easy recall in exams can be a boon in saving valuable time.
6.Build Problem-Solving Speed & Accuracy
JEE Advanced Mathematics Syllabus is not merely a matter of knowing the procedure but solving in time. Practice problems of all types—particularly Integer/Numerical Answer Type problems—to refine accuracy. Toppers recommend solving 30–40 problems every day, incorporating easy, medium, and difficult levels.
7.Strengthen General Aptitude & Logical Thinking
While JEE Advanced Mathematics Syllabus does not include an aptitude section, mathematical aptitude contributes significantly. Puzzles, logical reasoning, and speed mathematics techniques can enhance problem-solving with pressure. Solving Olympiad-level problems can also enhance reasoning power.
8.Seek Guidance & Peer Learning
For tough topics, don’t hesitate to take help—whether from teachers, online lectures (NPTEL, YouTube IIT-JEE educators), or peer study groups. Discussing problems with others often brings new perspectives and shortcut methods.
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JEE Advanced Mathematics Syllabus 2026 FAQs
Ques. Is JEE Advanced Mathematics tougher than JEE Main?
Ans: Yes, JEE Advanced Mathematics is tougher than JEE Main. While JEE Main checks basic concepts and direct applications, the JEE Advanced Maths Syllabus includes multi-step, application-based problems. Topics like Calculus, Vectors, 3D Geometry, and Probability demand higher-order problem-solving skills. The JEE Advanced Maths Syllabus tests reasoning, creativity, and speed, which makes it more challenging.
Ques. Which topics are most important for JEE Advanced Mathematics?
Ans: The JEE Advanced Maths Syllabus gives maximum weightage to these areas:
- Calculus (~35%) – Limits, Continuity, Differentiation, Integration, and Differential Equations. Problems often combine two or more ideas from the JEE Advanced Maths Syllabus.
- Algebra (~25%) – Complex Numbers, Quadratic Equations, Matrices, Determinants, Binomial Theorem, and Progressions. These require logical reasoning within the JEE Advanced Maths Syllabus.
- Coordinate Geometry (~20%) – Circles, Parabola, Ellipse, Hyperbola, and Straight Lines. Many questions link Coordinate Geometry with Calculus in the JEE Advanced Maths Syllabus.
- Other Topics (~20%) – Trigonometry, Vectors, 3D Geometry, Probability, and P&C. While smaller in weight, mastering them strengthens the overall JEE Advanced Maths Syllabus preparation.
Ques. How can I prepare Mathematics for JEE Advanced in 3 months?
Ans: With just three months, you need a smart plan to cover the JEE Advanced Maths Syllabus:
- Focus on high-weightage topics like Calculus, Algebra, and Coordinate Geometry.
- Strengthen basics from NCERT so you understand the foundation of the JEE Advanced Maths Syllabus.
- Solve previous year papers to identify the exam pattern.
- Practice 50–70 questions daily from the JEE Advanced Maths Syllabus for speed and accuracy.
- Revise formulas and methods weekly, since revision is key in the JEE Advanced Maths Syllabus.
- Attempt mock tests to check how well you can apply multiple concepts from the JEE Advanced Maths Syllabus together.
Ques. How much time should I give to Mathematics daily?
Ans: To master the JEE Advanced Maths Syllabus, study 3–4 hours daily:
- 2 hours for solving practice sets and PYQs.
- 1 hour for revising formulas and concepts.
- 30–60 minutes for analyzing mistakes in the JEE Advanced Maths Syllabus.
Ques. Are NCERT books enough for JEE Advanced Mathematics?
Ans: No, NCERT alone is not enough for the JEE Advanced Maths Syllabus. NCERT builds fundamentals but cannot match the difficulty level of the exam. You need advanced books that match the depth of the JEE Advanced Maths Syllabus:
- I.A. Maron – Problems in Calculus of One Variable (Calculus section of the JEE Advanced Maths Syllabus)
- Hall & Knight – Higher Algebra (Algebra part of the JEE Advanced Maths Syllabus)
- S.L. Loney – Elements of Coordinate Geometry (Coordinate Geometry part of the JEE Advanced Maths Syllabus)
These provide challenging questions exactly like those in the JEE Advanced Maths Syllabus.
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
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