The JEE Advanced Maths Syllabus 2024 comprises various topics like Sets, Relations and Functions, Algebra, Matrices, Probability and Statistics, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, and Vectors, etc. Check the detailed JEE Advanced Syllabus 2024 for Mathematics are shared below.
Topics
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JEE Advanced Maths Syllabus
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Sets, Relations and Functions
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- 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.
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Algebra
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- 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.
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Matrices
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- 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.
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Trigonometry
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Analytical Geometry
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- 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.
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Differential Calculus
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- 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.
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Integral Calculus
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Vectors
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JEE Advanced 2024 Syllabus (Revised): Download Physics, Chemistry, Maths Syllabus PDF Here
JEE Advanced 2024 Syllabus: The JEE Advanced syllabus 2024 has been released by IIT Madras, and it has not changed from the previous year. Candidates should be familiar with the revised JEE Advanced 2024 syllabus before commencing the preparation. This will help them to gain in-depth analysis of the topics important from the exam perspective.
The syllabus of the JEE Advanced 2024 exam is divided into three papers, i.e. Physics, Chemistry and Mathematics. So, the candidates should check the latest IIT JEE Advanced Syllabus and align their preparation strategy accordingly.
Scroll down the page to get detailed insights into the subject-wise JEE Advanced Syllabus 2024 along with JEE Advanced Exam Syllabus, weightage of important topics, best books, and preparation tips to excel in the exam.
Table of Content
- JEE Advanced Syllabus 2024 – Important Highlights
- JEE Advanced Syllabus 2024 PDF
- JEE Advanced Syllabus 2024 for Physics
- JEE Advanced Chemistry Syllabus 2024
- JEE Advanced Maths Syllabus 2024
- Important Topics for JEE Advanced 2024
- Weightage Wise Important Topics JEE Advanced
- JEE Advanced 2024 Topic-Wise Weightage Maths
- JEE Advanced 2024 Topic-Wise Weightage Physics
- JEE Advanced 2024 Topic-Wise Weightage Chemistry
- JEE Advanced 2024 Important Books
- JEE Advanced 2024 Exam Pattern
- JEE Advanced 2024 Syllabus for AAT
- How to Prepare for JEE Advanced 2024 Exam
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