JEE Advanced Syllabus 2021 / 2022 for Maths -The syllabus of JEE Advanced 2021 for Maths subject is now available. the PDF of the syllabus is given in this page below. Every year the conducting IIT for JEE Advanced 2021, prescribes the syllabus on jeeadv.ac.in. The students have to stick to the topics given in the syllabus to preapare for the exam. Check and download JEE Advanced syllabus 2021 / 2022 for Maths from below.
JEE Advanced Syllabus 2021 / 2022 for Maths
JEE Advanced 2021 is held at national level by one of the IITs annually. Only the top rankers of JEE Main exam get to appear for the exam.
| Exam Name | Joint Entrance Examination (JEE) Advanced |
| Resource | Syllabus |
| Subject | Maths |
| Applicable for | Year 2021 and Year 2022 |
The syllabus of the exam is prescribed by the exam conducting body and remains the same avery year. The maths syllabus has a total of 8 topics. To download the PDF of JEE Advanced Syllabus 2021 / 2022 for Maths check the following details:
Algebra – 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 with real coefficients, relations between roots and coefficients, the formation of quadratic equations with given roots, symmetric functions of roots. 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 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, Determinant of a square matrix of order up to three, 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 – Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
Trigonometry – Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations. Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).
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, a 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, the 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: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, a distance of a point from a plane.
Differential calculus – Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions. 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. Even and odd functions, inverse of a function, 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. 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.
Integral calculus – 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 definite integrals to the determination of areas involving simple curves. Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
Vectors – Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
JEE Advanced 2021 Syllabus for Other Subjects
Candidates can also check the syllabus of Physics, Chemistry and AAT from the links below:
| Subject | Syllabus PDF |
| Physics | Click here |
| Chemistry | Click here |
| Architecture Aptitude Test | Click here |
Topics Covered in JEE Advanced Syllabus 2021 / 2022 for Maths
The below given topics are covered in JEE Advanced 2021 syllabus for Maths subject:
- Algebra
- Matrices
- Probability
- Trigonometry
- Analytical Geometry – 2D and 3D
- Differential Calculus
- Integral Calculus
- Vectors
Weightage of Topics in JEE Advanced Syllabus 2021 / 2022 for Maths
Below are the weightage of the topics for Maths in JEE Advanced 2021. Note that the weightage may vary however, these are the topics that carry weightage in the range given below:
| Topics | Weightage |
| Algebra | 15% to 16% |
| Trigonometry | 13% to 14% |
| Calculus | 16% to 17% |
| Application for derivatives | 9% to 10% |
| Coordinate geometry | 12% to 13% |
| Vector and 3D | 11% to 12% |
| Determinants and Matrices | 12% to 13% |
| Probability | 8% to 9% |
Important Tips to Cover JEE Advanced Syllabus 2021 / 2022 for Maths
No matter when you start preparing, that being said, we do not mean you starting at 11th hour, the syllabus for the exam can be covered very efficiently. Here are a few tips to do so.
Note what is important
Make a list or note of all the important topic out of the pool of topics given in JEE Advanced 2021 syllabus for Maths. How to know what are the important topics. Well, you can check the table above, these are the topics that carry the maximum weightage in the exam.
Take suggestions and analyse
Analyse what are the topics most important and what are the type of questions that come from those topics. Once you understand that, you can chart a plan that covers those topics before. Take suggestions from the experts and reachers on what are the type of questions and how to cover them efficiently. You can do it by yourself too by looking at the previous year question papers of JEE Advanced.
Books that cover the JEE Advanced 2021 syllabus
Collect all the books that help you prepare and understand the topics. To take know what books are good for preparation you can talk to the seniors and teachers. Also, you can take help of the curated books as per the suggestions of toppers of the exam and other experts from below:
📚 Reference Books for JEE Advanced
Chart out a timetable
For maths, you need a timetable that covers the full syllabus and also leaves enough time for the practice of every question at least twice. Therefore make a timetable and stick to it every day. Do not leave an hour of the plan for the next day, as this leads to piling up of pending topics that are hard to cover later on.
Other Preparation Resources for JEE Advanced 2021
Since you are here, you might also like to have a look on other important resources for JEE Advanced 2021 / 22 preparations. Use the links below to get them:
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