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JEE ADVANCED 2025 MATHEMATICS SYLLABUS

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    JEE Advanced Mathematics Syllabus 2023, Topic-wise Weightage, Best Books for Preparation

    JEE Advanced Mathematics Syllabus 2023 will be updated here soon after the official brochure is released. JEE Advanced Mathematics Syllabus consists of seven units- Algebra, Matrices, Probability, Trignometry, Analytical Geometry, Differential Calculus, Integral Calculus, and Vectors. As per the previous year's analysis topics with the highest weightage from topics like Integration, Calculus, Geometry, and Trignometry. CheckJEE Advanced 2023 Syllabus

    JEE Advanced Mathematics Syllabus is a combination of relatively easy and difficult topics. As per a majority of test takers 25% of the questions are easy, 25% difficult and the rest 50% are observed to be of a medium difficulty level. We have covered a range of aspects in order to assist candidates when dealing with JEE Advanced Mathematics Syllabus. Check JEE Advanced 2023 Exam Pattern

    Table of Contents

    1. JEE Advanced Mathematics Syllabus 2023
    2. JEE Advanced Mathematics Question-wise Weightage
    3. JEE Advanced Weightage of Topics
    4. JEE Advanced Mathematics 2023 Preparation
      4.1Best Books for JEE Advanced Mathematics 

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    JEE Advanced Maths Syllabus

    JEE Advanced Mathematics Syllabus 2023

    JEE Advanced Mathematics Syllabus according to the seven units is defined below.  Changes in JEE Advanced Mathematics Syllabus for 2023 will be updated here:

    UnitsSub Units
    Algebra
    • Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
    • Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
    • Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, Sum of squares and cubes of the first n natural numbers.
    • Logarithms and their properties.
    • Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.
    Matrices
    • Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
    Probability
    • Addition and multiplication rules of probability, conditional probability, Bayes Theorem, Independence of events, computation of probability of events using permutations and combinations.
    Trigonometry
    • Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.
    • Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric
    Analytical Geometry
    • Two dimensions Cartesian coordinates, distance between two points, section formulae, shift of origin.
    • Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines and, Concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle.
    • Equation of a circle in various forms, equations of tangent, normal and chord.
    • Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.
    • Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.
    • Locus problems Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.
    Differential Calculus
    • Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.
    • Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.
    • Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.
    • Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.
    • Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normal, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.
    Integral Calculus
    • Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals
    • and their properties, fundamental theorem of integral calculus.
    • Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
    • Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
    Vectors
    • Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
    JEE Advanced Mathematics Weightage

    JEE Advanced Mathematics Question-wise Weightage

    Many aspirants think that the mathematics problem can most probably be solved with the help of brilliant shortcut tricks, and therefore in this misconception, they forget that the “killer shortcut tricks” are itself developed by one and the only thing “smart practice”.

    However, based on the previous year analysis, the chapters along with the number of questions and marks tabulated below:

    Chapter NameNumber of QuestionsMarks
    Application of Derivatives39
    Ellipse13
    Circles26
    Parabola27
    Definite Integral27
    Permutations and Combinations13
    Sequence and Series13
    Matrices27
    Limit and Continuity14
    Probability 14
    Complex Numbers 14
    Hyperbola14
    Marks-wise Topics Weightage

    JEE Advanced - Marks wise Weightage of Topics

    TopicsMarks
    Calculus40-50 marks
    Vector and 3D15-20 marks
    Probability and Permutation & Combination15-20 marks
    Parabola, Hyperbola, Ellipse, Rectangular Hyperbola15 marks
    Complex Numbers15 marks
    JEE Advanced Maths Preparation

    JEE Advanced Mathematics 2023 Preparation

    • In order to prepare for JEE Advanced Mathematics, candidates should make a thorough analysis of JEE Advanced Mathematics Syllabus, topics that are frequently asked, and the weightage of important topics.
    • Some of the topics that candidates should prepare extremely well for JEE Advanced are Sets, Relation & Functions, 3-D Geometry, Conic Sections, scoring sections in JEE Advanced Mathematics Syllabus include Limits, Continuity, and Derivability, Quadratic Equation, Permutation and Combination, Circles, Binomial Theorem, Differential Equations
    • Sections that have less weightage as per the previous year's analysis are Inverse trigonometry, Mathematics Induction, Mathematical Reasoning, and Application of Integrals.
    • After completing JEE Advanced Mathematics Syllabus, candidates should ensure that they solve previous year papers, mock papers to solve a variety of questions which will help them with their practice and speed while giving JEE Advanced 2023.

    Best Books for JEE Advanced Mathematics

    Besides the given below books, NCERT must become the “have to do” book for every aspirant.

    1. R.D. Sharma (Subjective) for basics.
    2. Subjective set of Arihant publications written by Amit Aggarwal and S K Goyal.
    3. Previous year JEE Advanced book by Arihant publication.
    4. Calculus - Problems in Calculus of One Variable by I.A. Maron.
    5. Course in Mathematics for IIT-JEE by Tata McGraw-Hill publications.

    JEE Advanced 2025 : 11 Answered QuestionsView All

    • Top Answer By Saarthak Rai on 01-Feb-2021

    Ans. Many aspirants go through the same conflict. The preference depends on your career priorities and aim. Some points are discussed below which may be helpful in deciding.  If you are solely focused on JEE Advanced and have a decent score in JEE Main, then it is better to take the date after JEE Advanced. A good score in JEE Main will give you a backup and you can completely focus on JEE Advanced this way. If you didn’t do well in JEE Main and have lesser hope to score good marks, then you can take BITSAT before JEE Advanced. It is because delaying will increase the pressure. If your priority is BITSAT then it is better to be fully focused on this exam and go for the 3rd or 4th day of the exam. It will give you sufficient time to review the previous paper. If you are not sure about your preference then it will be better to attempt the exam prior to JEE Advance. For most exam aspirants, JEE Advanced is the dream from the beginning and it will be better to end the journey with your initial aim. Thus, you should choose the date as per your priority and comfort. Decide by judging your nervousness, preparation and then give priority to your choice. Read more

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    • Top Answer By Gunjan Gupta on 16-Feb-2023

    Ans. Before choosing the best book I think it is very important to know your syllabus. Only then you can identify your weak and strong points from the syllabus and focus more on your weaknesses. The most important topics that are covered are Mole Concept Atomic Structure Periodicity Chemical and Molecular Bonding States of Matter Electrochemistry and Redox reactions Chemical and Ionic Equilibrium General Organic Chemistry Hydrogen Solutions and Colligative Properties Chemical Kinetics Coordination compounds P block, D&F block elements Metallurgy You can start preparing for these topics from class 11 itself. The books that are considered Bibles of Chemistry and are highly recommended for JEE Main and JEE Advanced aspirant include Modern Approach to Chemical Calculations: This book by RC Mukherjee is the best book out there for Physical Chemistry  Numerical Chemistry: This book by P Bahadur is recommended by many top tankers Organic Chemistry: This book by Robert Thornton Morrison is the best book for Organic Chemistry. Concise Organic Chemistry: This book by JD Lee is a great book for inorganic chemistry. It will make you fall in love with the subject rather than rote learning. Other than books you can resort to Video lectures, question papers, and a doubt solving forum. Most importantly Chemistry is a subject that requires tremendous concentration and consistency. You can go for frequent mock tests to test your knowledge. Read more

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    • Top Answer By Piyush Raj on 16-Feb-2023

    Ans. To join a reputed college, Indian students are required to give JEE-Main and JEE-Advanced. Cracking these exams with a top rank gives you the opportunity to join top National Institutes of Technology (NITs) and Indian Institutes of Technology (IITs). Admission into such reputed colleges, kickstart your Engineering career. Although both JEE-Main and JEE-Advanced are Engineering entrance exams, both have severe dissimilarities. The aspects of these dissimilarities have been discussed below. Level of difficulty: JEE-Advanced is far more difficult than JEE-Main. The primary focus of JEE-Main is to evaluate the candidates' knowledge of their class 11th and 12th syllabus while JEE-Advanced is taken to evaluate the analytical and problem-solving skills of the students. Syllabus: The JEE Main syllabus is similar to the one prescribed by CBSE whereas JEE-Advanced has a different syllabus. Various topics covered in JEE Main are not included in JEE Advanced. Eligibility: A good JEE Main rank will open doors for admission to NITs and IITs. But with a good JEE Advanced rank, one can get admitted into the most coveted IITs. Qualification: JEE Main required a student to have completed his Class 12th only. Whereas JEE Advanced has set certain minimum cutoff criteria in JEE Main and also meets minimum board exam criteria. Examination pattern: JEE Main exam comprises one paper only while JEE Main comprises 2 papers. The former consists of objective and single-answer questions while the latter consists of a variety of problems including multi-right, matrix match, comprehension types, and much more. The pattern of the former hardly changes while the pattern of the latter is modified every year. I hope such a detailed comparison has cleared your doubts and clarified the doubts regarding both the entrance exams. Read more

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    • Top Answer By Chaitali Ghosh on 18-Dec-2021

    Ans. The best books for JEE Main and Advanced exam preparations include the following: Maths: NCERT. Cengage by G.Tewani, Playing With Graphs Cengage and TMH for JEE Advanced. Algebra by Amit M. Aggarwal, Trigonometry by Amit M. Aggarwal for JEE Main and Advanced. For sequence and series refer to Hall and Knight. Physics: NCERT. HCV for all JEE aspirants. DC Pandey all series for JEE Main and Advanced. Archive, especially for Modern Physics, as subjective questions of IIT get repeated in objective pattern with a slight change. Chemistry: NCERT is mandatory for Inorganic Chemistry. Inorganic Chemistry by VK Jaiswal. Organic Chemistry by MS Chauhan and Himanshu Pandey. Physical chemistry from GRB. From all these books study the important parts and actions, mark and make notes on them. But make sure to study NCERTs thoroughly. Read more

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    • Top Answer By Aditi Banerjee on 17-Apr-2023

    Ans. My friend missed the cutoff by just 6 marks. She scored 120 marks and her JEE rank was a decent 4582. She knew that even if she managed to qualify which was difficult, she would not be given the opportunity to opt for a stream of her choice. However, she suffered a setback when she wasn’t even able to qualify for the cutoff. She lost all hope. After a few days, she was notified that the updated l JEE Advance rank list has been released. On checking the portal she was giddy to see that she had qualified!  She knew the rank would offer her almost nothing but the mere fact that she had qualified for one of the most difficult exams in India motivated her a lot. Read more

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    • Top Answer By Radhika Srivastava on 11-Apr-2023

    Ans. I would suggest you not take a drop as that should be taken only in the worst-case scenario. You seem to have got the Meta branch which is quite decent. Unless you have a specific area of interest, it is best to go for IIT Roorkee given its excellent brand name. Additionally, the branch change option is always there for your rescue. Work extremely hard in the first year, and then change your branch to the one you are interested in. This is better than appearing for JEE again after wasting a year. The risks attached to preparing for JEE Advanced again are high and it’s better to stay on the safer side. Trust me IIT Roorkee will not disappoint you and its rich coding culture will have you engrossed very quickly. The exposure and opportunities offered will shape your career extremely well. Read more

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    • Top Answer By Akriti Banerjee on 05-Apr-2023

    Ans. Firstly, there are no minimum marks required in JEE Advanced to get into IIT Delhi, Bombay, or any other IIT. Instead, the JEE cutoff is decided based on the performance of the students. The total questions, as well as the pattern of the exam, change every year, and thus the cutoff fluctuates every year.  To be on the safe side, try scoring more than 50% to secure admission into IIT Delhi, IIT Bombay, IIT Kharagpur, and IIT Roorkee CS branch (general category). JEE Advanced 2022 cutoff for CS Department at various IITs has been tabulated below Institute CS Cutoff IIT Delhi  51 Gender Neutral 136 Female IIT Kharagpur  112 Opening 303 Closing IIT Bombay  51 Gender Neutral, 136 Female IIT Roorkee 413 Male, 1463 Female Read more

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    • Top Answer By Aditi Sengupta on 03-Apr-2023

    Ans. IIT Delhi has set papers twice in 2012 and 2013. However, there is no fixed level of difficulty for this exam as the final paper is not set by a single IIT. Rather, it is assembled after the inputs of eminent professors and experts of all IITs. First, a mixed team of professors from different IITs is formed by the concerned IIT The entire team is made to stay in one place in individual rooms.  Professors will be given time and material to formulate questions Whenever they have formulated one or more questions, they will go to a highly secure room and write down the question This process is repeated till multiple sets of Physics Chemistry and Maths are ready. These sets are then submitted to the team leader who vocoders the final set of paper This is how a JEE paper is set and thus predicting the level of difficulty is almost impossible since it’s the work of multiple experts. Read more

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    • Top Answer By Riya Radhera on 01-Apr-2023

    Ans. Well, getting into IIT with just 3 months of preparation does sound impossible but honestly, everything is possible if you have the right set of motivation and determination. Here are some basic tips that might help you achieve your goal. Stop thinking about what people will think of you and focus on yourself completely for once. Sometimes we fail to take risks just because of the fear of losing and facing society. Don’t let that stop you from achieving the impossible. Utilize the 3 months to the fullest. Be ready for challenges that ask you to do and sacrifice much more than you are capable of. Your limits will be tested relentlessly, and be ready to face such challenges. While preparing, don’t think of the aftermath and let that discourage you. Have tons of hope and trust me you will see yourself succeeding. These may sound like philosophical teachings but these will work like magic if you pay heed to them. Read more

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    • Top Answer By Pratik Gandhi on 27-Mar-2023

    Ans. JEE Advanced cutoff changes every year and one can only depend on last year cutoffs to make predictions. There are no specific marks that will guarantee your admission but once can refer to past cutoffs for the same. IIT Kharagpur CSE cutoff 2022 is tabulated below: Category  Closing Rank Opening Rank General  112  303 EWS 35 52 OBC-NCL 89 138 SC 47 85 ST 29 39 Stil, rather than focusing on analyzing cutoffs, spend your time and efforts studying well and clearing the cutoff. Read more

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    *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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