JEE Advanced Maths Syllabus 2023 (Revised) - Free PDF Download

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JEE Advanced 2023 Syllabus for Maths - Important Topics

The revised syllabus for JEE Advanced 2023 has been released by the conducting authorities. The updated JEE Advanced 2023 syllabus for Mathematics coincides with the New Education Policy 2020 and also matches with the NCERT curriculum.


According to the official JEE Advanced 2023 syllabus released by the authority, the Mathematics section includes a few more concept-based chapters  like Sets, Relations, Functions, Algebra, and Matrices. No topic has been removed as per the revised syllabus. To score better marks, students should go through the revised JEE Advanced Maths Syllabus properly and must plan their preparation strategy as per the new syllabus.


Important Points for JEE Advanced Maths Syllabus 2023

  • The newly released JEE Advanced Maths Syllabus 2023 includes 3 newly added chapters - Sets, Relations and Functions, Algebra and Matrices.

  • There has been no reduction in the previous syllabus.

  • The new syllabus for JEE Advanced Maths 2023 covers all the chapters included in the NCERT curriculum.

Students can download the detailed JEE Advanced Maths Syllabus 2023 from the Download PDF link that is provided below.

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JEE Advanced Maths Syllabus 2023 - Topic Wise

Students can refer to the JEE Advanced 2023 topic-wise syllabus for Maths that we have provided below. Make sure you go through all the topics that are mentioned in the table below and make a note of all the topics that will require more practice and concentration.


Revised Maths Syllabus for JEE Advanced 2023

Units

JEE Advanced Maths Topics

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.

  • De-Morgan’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 one-to-one 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 sub-multiple 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.


Since the revised syllabus for JEE Advanced 2023 is quite lengthy and includes a lot of concept-based topics, students must prepare themselves accordingly by setting a new timetable. They must plan their exam strategy based on the revised syllabus, which must include regular solving of practice questions and NCERT Solutions to be more familiar with the concepts. They must also check the JEE Advanced Exam Pattern to know about the mark distribution for each topic.

FAQs on JEE Advanced Maths Syllabus 2023 (Revised) - Free PDF Download

1. Are there any changes in JEE Advanced 2023 Syllabus for Maths?

Yes, the conducting authority has revised the JEE Advanced 2023 Syllabus for Mathematics. It covers all the topics included under the NCERT curriculum. For JEE Advanced Maths Syllabus 2023, three additional chapters are added, which are Sets, Relations and Functions, Algebra and Matrices. 

2. How to download JEE Advanced 2023 Syllabus pdf?

Candidates can access the JEE Advanced 2023 Syllabus pdf for Maths from the official website of JEE Advanced (https://jeeadv.ac.in/). They can also easily download the detailed JEE Advanced 2023 Syllabus pdf by clicking on the Download PDF option that we have provided on this page.

3. Does JEE Advanced Maths Syllabus change every year?

The JEE Advanced Maths Syllabus mostly remains the same every year. But the conducting authority can make some changes in the syllabus like adding or reducing the Maths topics or chapters as per the requirement.  

4. Which topics have been added to the revised JEE Advanced 2023 Syllabus for Maths?

Sets, Relations, Functions, Algebra and Matrices are the topics which have been added under the Mathematics section in JEE Advanced 2023 Revised Syllabus. Candidates are advised to keep a regular check on the official website for any further changes in the syllabus.

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