JEE Advanced Mathematics Syllabus
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Candidates who wish to take admission in one of the Indian Institutes of Technology (IIT) must clear the JEE Advanced exam. The JEE Advanced question paper covers topics from three subjects – Physics, Chemistry, and Mathematics. Of all the three, Mathematics is a scoring subject. Candidates must prepare thoroughly to crack the Mathematics section since it is an amalgamation of easy as well as difficult questions. But, it is essential for candidates to have thorough knowledge and understanding of the JEE Advanced Mathematics Syllabus. It generally includes questions from seven topics namely Algebra, Probability, Analytical Geometry, Matrices, Trigonometry, Differential Calculus, Vectors and Integral Calculus. Students can visit the Extramarks website and download Mathematics JEE Advanced syllabus.
IIT JEE Advanced Mathematics Syllabus
Aspirants must not miss to check the JEE Advanced Mathematics Syllabus below:
Mathematics
 Algebra
 Quadratic Equations
 Logarithms
 Complex Numbers
 Probability
 Binomial Theorem
 Sequence and Series
 Matrices and Determinants
 Permutation and Combination
 Trigonometry
 Trigonometric and Inverse Trigonometric Functions
 Vectors
 Properties of Vectors
 Differential Calculus
 Functions
 Limits
 Derivatives
 Continuity
 Integral Calculus
 Integration and its application
 Differential Equations
 Analytical Geometry
 2 Dimensional Geometry
 3 Dimensional Geometry
 Matrices and Determinants
JEE Advanced 2022 Mathematics Syllabus
To get a comprehensive understanding of the JEE Advanced Mathematics Syllabus 2022, candidates must thoroughly check out the Extramarks website. There are various subsections that are included in the topics of the Mathematics Syllabus for JEE Advanced.
The detailed JEE Advanced Mathematics Syllabus is given below
Units  Sub units 
Algebra 

Matrices 

Probability 

Trigonometry 

Analytical Geometry 

Differential Calculus 

Integral Calculus 

Vectors 

Download the JEE Advanced Mathematics 2022 Syllabus
How to Prepare for the JEE Advanced 2022?
Candidates who wish to appear for the JEE Advanced exam must be thoroughly prepared since lakhs of students give this exam every year. Every year, the competition is increasing as well as the difficulty level of the question paper. The aspirant needs to focus on important topics by gaining an understanding of the weightage of each and every topic the question paper will consist of. Students must also be aware of the exam pattern as well as the complete syllabus so that they can easily understand which topic holds more importance. In addition to the manual preparation, candidates must continue solving JEE Advanced mock question papers, JEE Advanced sample papers as well as past question papers. Students can download the past JEE Advanced Question Papers from Extramarks website and solve it.
Expected JEE Advanced 2022 Chapter Wise HightoLow Weightage for Mathematics
The number of questions that come from a particular topic vary each yearHowever, according to experts, there is a certain weightage for every topic for the JEE Advanced Mathematics Syllabus. The same is mentioned below
Topic  Weightage 
Calculus

16 17%38 marks questions may appear in the JEE Advanced exam 
Algebra  1415% 
Trigonometry  1314%
10 marks are expected from this section 
Coordinate Geometry  1213%
18 marks from this section are expected 
Matrices
Determinants 
Combines weightage of 1213%
14 marks questions are expected 
Vector & 3D  Combined weightage of up to 12%
11 marks questions are expected from Vector & 3D 
Application for Derivatives  910% 
Probability  89% 
Important Mathematics Chapters for JEE Advanced 2022
Mathematics is one of the major subjects of the JEE Advanced exam. Candidates need to be thorough with all the topics studied in class 11 and 12. However, there are certain chapters that are more important than others. The list of the most important chapters in JEE Advanced exam for Mathematics section is given below
 Definite Integration
 Straight Lines
 Vector & 3Dimensional Geometrical System
 Limits, Continuity & Differentiability
 Parabola
 Matrices
 Determinants
 Circle
 Area Under Curves
 Coordinate Geometry
 Application of Derivatives
 Differential Equation
 Probability (9 marks expected)
 Sequences & Series (Expected: 3 marks)
 Binomial Theorem (Expected 3 marks)
 Permutations & Combinations: (Expected 3 marks)
 Quadratic Equation: (Expected: 3 marks)
 Progressions
 Complex Numbers (Expected: 7 marks)
 Fundamentals of Mathematics: (Expected: 5 marks)
Preparation Tips by Extramarks Experts on JEE Advanced Mathematics
According to the experts of Extramarks, candidates must have prepared thoroughly and should not leave any unsolved doubts. The understanding of a detailed Syllabus also helps the candidate. The following tips by the Extramarks experts can be of great use for aspirants:
 Candidates must have a comprehensive understanding of exam pattern and syllabus
 The marks wise distribution of the subject helps the candidate focus more on important topics
 Weightage of the topics should be known to students as it helps them develop the strategy to prepare for the exam
 Candidates must practise and understand the time limit of the exam to enhance the speed
 Students should not try to understand any concept in short cut method, instead, go for the long methodology and understand each aspect of the concept
 Participants must carefully choose the books they will refer to study for the exam
 Candidates should focus on having conceptual clarity to solve the problems with ease
Syllabus for Mathematics – (repeat heading)
Best Books for JEE Advanced Mathematics
The following books will help students in preparing the Mathematics section in JEE Advanced examination:
 Algebra Textbook for Mains and Advance by Dr SK Goyal (Arihant Publications)
 Calculus Problems in Calculus of One Variable by IA Moron
 Coordinate GeometryPlane Coordinate Geometry by SL Loney
 Course in Mathematics for IIT JEE Mains and Advanced by Tata McGraw (Hill Publications)
 Class 11 and 12 NCERT books
 RD Sharma for Class 11 and 12
 Differential Calculus by A Das Gupta
 Algebra Higher Algebra by Knight and Hall
 Objective Mathematics book for JEE Main & Advanced and other Engineering Competitive Exams by RD Sharma
 IIT JEE for Integral Calculus by Amit Agarwal (Arihant Publications)
 Geometry and Trigonometry Plane Trigonometry Part 1 by SL Loney
MATHEMATICS
Sets, Relations and Functions
Sets and their representations, different kinds of sets (empty, finite and infinite), algebra of sets, intersection, complement, difference and symmetric difference of sets and their algebraic properties, DeMorgan’s laws on union, intersection, difference (for finite number of sets) and practical problems based on them.
Cartesian product of finite sets, ordered pair, relations, domain and codomain of relations, equivalence relation.
Function as a special case of relation, functions as mappings, domain, codomain, range of functions, invertible functions, even and odd functions, into, onto and onetoone functions, special functions (polynomial, trigonometric, exponential, logarithmic, power, absolute value, greatest integer, etc.), sum, difference, product and composition of functions.
Algebra
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
Statement of fundamental theorem of algebra, Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
Arithmetic and geometric progressions, arithmetic and geometric means, sums of finite arithmetic and geometric progressions, infinite geometric series, sum of the first n natural numbers, sums 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, elementary row and column transformations, determinant of a square matrix of order up to three, adjoint of a matrix, 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 and Statistics
Random experiment, sample space, different types of events (impossible, simple, compound), addition and multiplication rules of probability, conditional probability, independence of events, total probability, Bayes Theorem, computation of probability of events using permutations and combinations.
Measure of central tendency and dispersion, mean, median, mode, mean deviation, standard deviation and variance of grouped and ungrouped data, analysis of the frequency distribution with same mean but different variance, random variable, mean and variance of the random variable.
Trigonometry
Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations.
Inverse trigonometric functions (principal value only) and their elementary properties.
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, 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: Distance between two points, direction cosines and direction ratios, equation of a straight line in space, skew lines, shortest distance between two lines, equation of a plane, distance of a point from a plane, angle between two lines, angle between two planes, angle between a line and the plane, coplanar lines.
Differential Calculus
Limit of a function at a real number, 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.
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.
Tangents and normals, increasing and decreasing functions, derivatives of order two, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem, geometric interpretation of the two theorems, derivatives up to order two of implicit functions, geometric interpretation of derivatives.
Integral Calculus
Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals as the limit of sums, definite integral 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 bounded by simple curves. Formation of ordinary differential equations, solution of homogeneous differential equations of first order and first degree, separation of variables method, linear first order differential equations.
Vectors
Addition of vectors, scalar multiplication, dot and cross products, scalar and vector triple products, and their geometrical interpretations.
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FAQs (Frequently Asked Questions)
1. Who conducts the JEE Advanced examination?
The JEE Advanced Exam is conducted by one of the 7 IITs.
2. Who can appear for the JEE Advanced exam?
Candidates who fulfill the JEE Advanced eligibility criteria can appear for the exam.
3. What are the best books for preparing the Mathematics section?
The following books will help students in preparing the Mathematics section:
 Algebra Textbook for Mains and Advance by Dr SK Goyal (Arihant Publications)
 Calculus Problems in Calculus of One Variable by IA Moron
 Coordinate GeometryPlane Coordinate Geometry by SL Loney
 Course in Mathematics for IIT JEE Mains and Advanced by Tata McGraw (Hill Publications)
 Class 11 and 12 NCERT books
 RD Sharma for Class 11 and 12
 Differential Calculus by A Das Gupta
 Algebra Higher Algebra by Knight and Hall
 Objective Mathematics book for JEE Main & Advanced and other Engineering Competitive Exams by RD Sharma
 IIT JEE for Integral Calculus by Amit Agarwal (Arihant Publications)
 Geometry and Trigonometry Plane Trigonometry Part 1 by SL Loney