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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. Check JEE 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:

Units Sub 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 Name Number of Questions Marks
Application of Derivatives 3 9
Ellipse 1 3
Circles 2 6
Parabola 2 7
Definite Integral 2 7
Permutations and Combinations 1 3
Sequence and Series 1 3
Matrices 2 7
Limit and Continuity 1 4
Probability  1 4
Complex Numbers  1 4
Hyperbola 1 4
Marks-wise Topics Weightage

JEE Advanced - Marks wise Weightage of Topics

Topics Marks
Calculus 40-50 marks
Vector and 3D 15-20 marks
Probability and Permutation & Combination 15-20 marks
Parabola, Hyperbola, Ellipse, Rectangular Hyperbola 15 marks
Complex Numbers 15 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.

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

JEE Advanced 2025 : 7 Answered Questions

Ques. My daughter has a JEE Advanced rank of 6048 (General). What are the branches she can get in IIT Kharagpur?

Tabulated below are the JEE Advanced Cutoff 2023 for IIT Kharagpur: Branch Opening Rank Closing Rank Civil Engineering 4479 6556 Computer Science and Engineering 112 303 Electrical Engineering 1288 1805 Electronics and Electrical Communication Engineering 434 1145 Mechanical Engineering 2042 3350 Metallurgical and Materials Engineering 5448 6920 Mining Engineering 7169 8739 Ocean Engineering and Naval Architecture 6846 8355 Biotechnology and Biochemical Engineering 6407 7751 From the above table we can infer that with a Rank of 6048 one can get the following branches  Civil Engineering Metallurgical and Materials Engineering Mining Engineering  Ocean Engineering and Naval Architecture  Biotechnology and Biochemical Engineering ...Read More
Answer By Aditya Trivedi 21 Mar 23
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Ques. What was the IIT Madras JEE Advanced cut-off for 2023?

To get admission at IIT Madras, you need to qualify for the JEE Advanced exam and get a very high score so that you can rank in the top 1000. There are many counselling sessions at that place. The closing rank of  The JEE Advanced cut-off 2023 for different departments is as follows: Department Last Closing Rank BTech in Computer Science and Engineering 148 BTech in Electrical Engineering 964 BTech in Mechanical Engineering 2572 BTech in Engineering Physics 1877 BTech in Biological Engineering 7967 Integrated Automotive Engineering 4436 Integrated Aerospace Engineering 3293...Read More
Answer By  05 Jun 24
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Ques. Can I get an IIT with 4000 JEE Advanced Rank?

I recently completed my Graduation from IIT BHU. Securing a rank of 4000 in JEE Advanced is a commendable achievement, and it opens up several opportunities for admission into the Indian Institutes of Technology. However, whether you can get admission into a specific IIT with this rank depends on various factors including: Some branches are more competitive than others, so the cutoff ranks may vary accordingly. Each IIT has a different number of seats available for each branch, and the cutoff ranks can fluctuate based on this. Reservation quotas may affect the cutoff ranks for different categories (General, OBC-NCL, SC, ST, etc.). The difficulty level of the exam can influence the cutoff ranks. Here are the cutoff trends for B.Tech Admissions at various IITs (for CSE and Civil Engineering branches, Open Category seats)- B.Tech cutoff trend at the IITs through JEE Advanced (Open Category) College Name B.Tech CSE B.Tech Civil Engineering IIT Madras 148 6132 IIT Delhi 118 4472 IIT Bombay 67 4371 IIT Kanpur 238 6116 IIT Roorkee 412 7100 IIT Kharagpur 279 7177 IIT Guwahati 654 8453 IIT Hyderabad 674 9303 IIT Indore 1385 10994 IIT BHU 1079 10232 I hope this gives you a basic idea of the JEE Advanced cutoff at various IITs across India. For a more detailed overview of these cutoffs, you can visit the official website of JoSAA-  https://josaa.admissions.nic.in/applicant/seatmatrix/openingclosingrankarchieve.aspx...Read More
Answer By  29 May 24
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Ques. Is 12,000 JEE Advanced Rank decent enough for admission into an IIT?

Yes, there are a total of 17,385 seats in the IITs, you can get admission into IITs with a rank of 12k in JEE Advanced. However, you will probably not get admission in top 7 IITs and in the branches which are the favourites of the most people. But indeed you can get admission into IITs with 12,000 rank in JEE Advanced. You can visit the official JoSAA website to check the previous year cutoff trends for B.Tech admissions at the IITs-  https://josaa.admissions.nic.in/applicant/seatmatrix/openingclosingrankarchieve.aspx...Read More
Answer By  29 May 24
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Ques. Can I get into IIT Bombay with Rank 3000 in JEE Advanced?

Securing a rank of 3000 in JEE Advanced is a commendable achievement, and it will open up a wide range of opportunities for you in terms of college choice.  With a rank of 3000, you have a good chance of getting admission into IIT Bombay, but you may not get your desired domain. With this rank you can get admission in these specialisations at IIT Bombay:  Environmental Science and Engineering Civil Engineering Metallurgical Engineering and Materials Science You can visit the official JoSAA website to check the previous year IIT Bombay branch wise cutoff for B.Tech Admissions-  https://josaa.admissions.nic.in/applicant/seatmatrix/openingclosingrankarchieve.aspx This will give you a better understanding of your options....Read More
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Previous Year JEE Advanced Questions

In case of any inaccuracy, Notify Us! 

Fees Structure

Structure based on different categories

CategoriesState
General2800
Women1400
sc1400
pwd1400

Note: The application fee for foreign nationals from SAARC countries is USD 75 while for candidates who belong to Non-SAARC countries, the application fee is USD 150. Indian Nationals (including PIO/OCI) who have chosen exam centers outside India, have to pay USD 75 as the application fee.

In case of any inaccuracy, Notify Us! 

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