A SAT like entrance test for IIT’s , NIT’s and other engineering colleges
September 16, 201139 Insightful Publications
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.
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 skewsymmetric 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.Halfangle 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 
Realvalued functions of a real variable, into, onto and onetoone 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 firstorder differential equations. 
Download JEE Advanced Maths Syllabus PDF
The free JEE Advanced mock exams created by Embibe’s subjectmatter 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!
JEE Advanced 2022 All India Test Series – 1 Paper – 1  Full Test Link 
JEE Advanced 2022 All India Test Series – 1 Paper – 2  Full Test Link 
JEE Advanced 2022 All India Test Series – 2 Paper – 1  Full Test Link 
JEE Advanced 2022 All India Test Series – 2 Paper – 2  Full Test Link 
JEE Advanced 2022 All India Test Series – 3 Paper – 1  Full Test Link 
JEE Advanced 2022 All India Test Series – 3 Paper – 2  Full Test Link 
JEE Advanced 2022 All India Test Series – 4 Paper – 1  Full Test Link 
JEE Advanced 2022 All India Test Series – 4 Paper – 2  Full Test Link 
JEE Advanced 2022 All India Test Series – 5 Paper – 1  Full Test Link 
JEE Advanced 2022 All India Test Series – 5 Paper – 2  Full Test Link 
JEE Advanced 2022 All India Test Series – 6 Paper – 1  Full Test Link 
JEE Advanced 2022 All India Test Series – 6 Paper – 2  Full Test Link 
JEE Advanced 2022 All India Test Series – 7 Paper – 1  Full Test Link 
JEE Advanced 2022 All India Test Series – 7 Paper – 2  Full Test Link 
JEE Advanced 2022 All India Test Series – 8 Paper – 1  Full Test Link 
JEE Advanced 2022 All India Test Series – 8 Paper – 2  Full Test Link 
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 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 
Refer to the table below for the markswise weightage of topics in the JEE Advanced syllabus 2022.
Topics  Marks 
Calculus  4050 marks 
Vector and 3D  1520 marks 
Probability and Permutation & Combination  1520 marks 
Parabola, Hyperbola, Ellipse, Rectangular Hyperbola  15 marks 
Complex Numbers  15 marks 
Here are some tips to help candidates prepare for the Mathematics syllabus of JEE Advanced 2023:
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.
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 Syllabus  JEE Advanced Application Form 
JEE Advanced Preparation Tips  JEE Advanced Admit Card 
Here are the frequently asked questions regarding the syllabus for JEE Advanced exam:
Ans: IIT Bombay was in charge of conducting the JEE Advanced 2022.
Ans: The JEE Advanced examination is conducted online.
Ans: There were no changes in the syllabus for 2022 from what it was in the previous five years.
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.
Ans: The JEE Advanced 2022 exam was held on 28 August 2022.
IITJEE study materials provided by Embibe are designed by professionals by analysing the important chapters, previous year question papers, etc. Embibe offers free IITJEE study materials accessible at any time. Additionally, candidates can solve an unlimited number of IITJEE Practice Questions and IITJEE 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.
Stay tuned to Embibe for the latest news and updates on JEE Advanced 2023.