JEE Advanced 2024 Mathematics Syllabus; Download PDF
IIT Madras has officially scheduled JEE Advanced 2024 for May 26. The released JEE Advanced syllabus 2024 is available for download in PDF format on this page. Notably, the syllabus remains consistent with the changes introduced last year, aligning with the adjustments made to the JEE Main syllabus. Therefore, candidates are advised to prepare for all topics outlined in the JEE Advanced Maths syllabus, even if they are no longer part of the JEE Main syllabus.
The JEE Advanced Mathematics syllabus encompasses a comprehensive range of topics, including Sets, Relations and Functions, Algebra, Matrices, Probability and Statistics, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, and Vectors.
JEE Advanced Syllabus 2024 for Mathematics - Download PDF
The Mathematics section of JEE has witnessed an increased level of complexity in recent years, with the most challenging questions now concentrated in this subject. It is imperative for candidates to dedicate substantial effort to master the nuances of JEE mathematics. A thorough coverage of all topics within the syllabus is essential for success in the exam.
JEE Advanced Syllabus 2024 for Mathematics - Download PDF
For a detailed overview of the JEE Advanced 2024 Mathematics syllabus, including the specific topics, please refer to the information provided below:
JEE Advanced Maths Topics | Subtopics |
|---|---|
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. |
Books to Prepare for JEE Advanced 2024 Maths
Books play a crucial role in preparing for JEE Advanced 2024 Mathematics, and choosing the right ones is essential for effective preparation. Here are some recommended books by toppers for JEE Advanced Mathematics:
Cengage: Recommended for Algebra, Vector and 3D Geometry, and Trigonometry. This book is known for its comprehensive coverage of these topics and includes a variety of practice questions.
Arihant or Sameer Bansal (GRB Publications): Ideal for calculus and coordinate geometry. Both Arihant and Sameer Bansal provide a solid foundation for calculus, including new and interesting questions.
Asit Dasgupta: Recommended for permutation and combination. This book is known for its clarity and a wide range of problems that help in mastering this topic.
It's crucial to choose books that not only cover the complete syllabus but also include previous years' questions, as they provide insights into the exam pattern and the types of questions asked.
JEE Advanced Maths Syllabus 2024 vs. JEE Main Maths Syllabus 2024:
It's noteworthy that the JEE Advanced Maths syllabus is more compact compared to the JEE Main Maths syllabus. Here are the topics present in the JEE Main syllabus but not in the JEE Advanced syllabus:
- Complex numbers and Quadratic equations
- Determinants
- Permutations and combinations
- Binomial theorems and their simple application
- Sequence and series
- Limit, continuity, and differentiability
- Integral calculus
Candidates should be aware of these differences and focus their preparation on the specific topics outlined in the JEE Advanced syllabus for Mathematics.