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  • Last Modified 22-09-2022

JEE Advanced Maths Syllabus 2023: Find Best Books

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JEE Advanced Maths Syllabus 2023: IIT Bombay will publish the syllabus for JEE Advanced 2023 on its official website. To make things easy for JEE Advanced 2023 aspirants, we have provided the detailed syllabus as per JEE Advanced 2022. Aspirants can view the detailed JEE Advanced Math syllabus here. This article also contains a downloadable PDF version of the syllabus. JEE Advanced 2022 syllabus includes Physics, Chemistry, and Mathematics disciplines taught in classes 11 and 12 however, we will focus on the Maths Syllabus only in this article.

JEE Advanced Maths syllabus consists of seven units- Algebra, Matrices, Probability, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, and Vectors. Not much change is expected in the syllabus for Maths. In case of any changes, we will update the same on our pages. Read the article to know more about JEE Advanced Maths syllabus, exam pattern and JEE Advanced 2023 marking system.

JEE Advanced Maths Syllabus 2023: Important Details

Candidates can check the JEE Advanced Mathematics syllabus from the table below:

Unit 1 Algebra

Complex Numbers

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

Quadratic equations with real coefficients.Relations between roots and coefficients. Formation of quadratic equations with given roots. Symmetric functions of roots.

Sequence and Series

Arithmetic, geometric, and harmonic progressions. Arithmetic, geometric, and harmonic means. Sums of finite arithmetic and geometric progressions, infinite geometric series. Sums of squares and cubes of the first n natural numbers.

Logarithms

Logarithms and their properties.

Permutation and Combination

Problems with permutations and combinations.

Binomial Theorem

Binomial theorem for a positive integral index. Properties of binomial coefficients.

Matrices and Determinants

Matrices as rectangular arrays of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, and the transpose of a matrix. Determinant of a square matrix of order up to three, the 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.

Unit 2 Trigonometry

Trigonometric Functions

Trigonometric functions, their periodicity, graphs, addition and subtraction formulae. Formulae involving multiple and submultiple angles. The general solution of trigonometric equations.

Inverse Trigonometric Functions

Relations between sides and angles of a triangle, sine rule, cosine rule.Half-angle formula and the area of a triangle. Inverse trigonometric functions (principal value only).

Unit 3 Vectors

Properties of Vectors

The addition of vectors and scalar multiplication. Dot and cross products. Scalar triple products and their geometrical interpretations.

Unit 4 Differential Calculus

Functions

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. Even and odd functions, the inverse of a function, continuity of composite functions, and the intermediate value property of continuous functions.

Limits and Continuity

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.

Derivatives

The derivative of a function, the 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 normals, increasing and decreasing functions, maximum and minimum values of a function. Rolle’s Theorem and Lagrange’s Mean Value Theorem.

Unit 5 Integral Calculus

Integration

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 Integration

Application of definite integrals to the determination of areas involving simple curves.

Differential Equations

Formation of ordinary differential equations.The solution of homogeneous differential equations, separation of variables method.Linear first-order differential equations.

Download JEE Advanced Maths Syllabus PDF

JEE Advanced 2023 All India Mock Test Series (AITS)

The free JEE Advanced mock exams created by Embibe’s subject-matter specialists are clearly written and have a track record of success for the JEE Advanced 2023 exam. Only three to four practice exams will significantly improve your performance. Use the steps below to register and start taking free practice exams right away!

  • 1st Step: Visit Embibe’s official website, i.e., www.embibe.com.
  • 2nd Step: Login using the registered mobile number/email.
  • 3rd Step: Then select “Goal” as “JEE Advanced” under Engineering. Then, click on “Next” and select the preferred language.
  • 4th Step: Once done, click on the below-mentioned links to take the TEST.
JEE Advanced 2022 All India Test Series – 1 Paper – 1Full Test Link
JEE Advanced 2022 All India Test Series – 1 Paper – 2Full Test Link
JEE Advanced 2022 All India Test Series – 2 Paper – 1Full Test Link
JEE Advanced 2022 All India Test Series – 2 Paper – 2Full Test Link
JEE Advanced 2022 All India Test Series – 3 Paper – 1Full Test Link
JEE Advanced 2022 All India Test Series – 3 Paper – 2Full Test Link
JEE Advanced 2022 All India Test Series – 4 Paper – 1Full Test Link
JEE Advanced 2022 All India Test Series – 4 Paper – 2Full Test Link
JEE Advanced 2022 All India Test Series – 5 Paper – 1Full Test Link
JEE Advanced 2022 All India Test Series – 5 Paper – 2Full Test Link
JEE Advanced 2022 All India Test Series – 6 Paper – 1Full Test Link
JEE Advanced 2022 All India Test Series – 6 Paper – 2Full Test Link
JEE Advanced 2022 All India Test Series – 7 Paper – 1Full Test Link
JEE Advanced 2022 All India Test Series – 7 Paper – 2Full Test Link
JEE Advanced 2022 All India Test Series – 8 Paper – 1Full Test Link
JEE Advanced 2022 All India Test Series – 8 Paper – 2Full Test Link

JEE Advanced Mathematics Syllabus 2023: Chapter-wise Weightage

Mathematics problems cannot be solved with the help of brilliant tricks and therefore relying on practice alone is the best idea. Here is the previous year’s analysis along with the number of questions and marks tabulated below. This information will be helpful in exam preparation.

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

JEE Advanced 2023: Marks-wise Weightage of Topics

Refer to the table below for the marks-wise weightage of topics in the JEE Advanced syllabus 2022.

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 Mathematics Syllabus 2023: Preparation Tips

Here are some tips to help candidates prepare for the Mathematics syllabus of JEE Advanced 2023:

  • Preparation for JEE Advanced Mathematics requires candidates to make a thorough analysis of  the Syllabus, frequently asked topics, and the weightage of important topics.
  • Some important topics while preparing for JEE Advanced 2023 are Sets, Relations and Functions, 3-D Geometry, and Conic Sections. The scoring sections of JEE Advanced Mathematics comprise Limits, Continuity, and Derivability, Quadratic Equation, Permutation and Combination, Circles, Binomial Theorem, Differential Equations
  • As per the previous year’s analysis, there are some sections that have less weightage such as Inverse Trigonometry, Mathematics Induction, Mathematical Reasoning, and Application of Integrals.
  • After completing the syllabus, candidates must solve JEE Advanced previous year papers and JEE Advanced mock papers to speed up while giving JEE Advanced 2023.

Best Books for JEE Advanced Mathematics

Here are the best books that all aspirants must acquire to ace the exams. However, besides the given books, NCERT books are imperative for preparations.

  • R D Sharma Class 11 and 12 (subjective) for basics.
  • Subjective set of Arihant publications written by Amit Aggarwal and S K Goyal.
  • Previous year JEE Advanced book by Arihant publication.
  • Calculus – Problems in Calculus of One Variable by I A Maron.
  • Course in Mathematics for IIT-JEE by Tata McGraw-Hill publications.
  • Trigonometry by S L Loney
  • Differential Calculus by A Das Gupta
  • Higher Algebra by Hall and Knight
  • IIT Mathematics by M L Khanna

JEE Advanced Maths Syllabus 2023: Marking Scheme 

Candidates should strategise their preparation by checking the marking scheme for JEE Advanced Paper I and JEE Advanced Paper II here. To prepare for JEE Advanced 2023, knowing the marking scheme beforehand would be valuable. 

Marking Scheme for Paper I

Pattern

Section 1

Section 2

Section 3

Question Type

1 or more correct options

Single correct option

The single option is correct

No. of Questions

7

5

6

Max. Marks

+4

+3

+3

Partial Marks (if the only correct answer is marked and no incorrect answer)

+1

Nil

Nil

Negative Marking

-2

Nil

-1

Total Marks

28

15

18

Marking Scheme for Paper II

Pattern

Section 1

Section 2

Section 3

Question Type

1 or more correct options

Single correct option

The single option is correct

No. of Questions

7

7

4

Max. Marks

+4

+3

+3

Partial Marks (if the only correct answer is marked and no incorrect answer)

+1

Nil

Nil

Negative Marking

-2

-1

Nil

Total Marks

28

21

12

Marking Scheme for Paper II

Pattern

Section 1

Section 2

Section 3

Question Type

1 or more correct options

Single correct option

The single option is correct

No. of Questions

7

7

4

Max. Marks

+4

+3

+3

Partial Marks (if the only correct answer is marked and no incorrect answer)

+1

Nil

Nil

Negative Marking

-2

-1

Nil

Total Marks

28

21

12

Quick links,

JEE Advanced SyllabusJEE Advanced Application Form
JEE Advanced Preparation TipsJEE Advanced Admit Card

FAQs Regarding the JEE Advanced Syllabus 2023

Here are the frequently asked questions regarding the syllabus for JEE Advanced exam:

Q.1: Who set the syllabus for JEE Advanced 2022?

Ans: IIT Bombay was in charge of conducting the JEE Advanced 2022.

Q.2: What is the mode of JEE Advanced exam?

Ans: The JEE Advanced examination is conducted online.

Q.3: Were there any changes to JEE Advanced syllabus for 2022?

Ans: There were no changes in the syllabus for 2022 from what it was in the previous five years.

Q.4: Which books are the best for JEE Advanced Maths exam preparations?

Ans. Some of the best books for JEE Advanced Maths exam preparations include the following: NCERT, R.D. Sharma Class 11 and 12 (Subjective) for basics, Subjective set of Arihant publications written by Amit Aggarwal and S K Goyal, Previous year JEE Advanced book by Arihant publication and Calculus – Problems in Calculus of One Variable by I.A. Maron.

Q.5: When was the JEE Advanced 2022 exam?

Ans: The JEE Advanced 2022 exam was held on 28 August 2022. 

IIT-JEE study materials provided by Embibe are designed by professionals by analysing the important chapters, previous year question papers, etc. Embibe offers free IIT-JEE study materials accessible at any time. Additionally, candidates can solve an unlimited number of  IIT-JEE Practice Questions and IIT-JEE Advanced Mock Tests. Based on our platform’s analysis, candidates can focus on the weaker areas and identify behavioural weaknesses. 

We hope that this information on the Mathematics syllabus of JEE Advanced 2023 has helped you. If you have any queries, you can visit our website and write to us with your queries. We will assist you in the best way possible.

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