JEE Advanced Maths Syllabus – Topic Wise Detailed Syllabus

JEE Advanced Maths syllabus is usually prescribed by the exam conducting authority for that particular year. The authority has already released the syllabus for maths and the chapters covered in maths are focused primarily on the conceptual application of formulas, theorems, and derivations.

This section in the question paper demands a lot of practice and preparation, therefore, candidates should master all the key concepts and clear any doubts before the final examination. As per the notification released by the conducting authority, JEE Advanced Maths syllabus is the same as the last year.

For better results, students should go through the syllabus and develop a proper preparation strategy. Besides, student has to practice a lot from the previous year papers for more click here to login and practice more click here

To score more in  IIT JEE Advanced 2020 by just reading and memorizing the concepts will not help all requires practice  questions from previous year papers and sample papers.

JEE Advanced syllabus for maths not only involves sophisticated concepts but it also demands a certain amount of time to practice, therefore, focus more on problem-solving instead of just memorizing the formulas, theories, and solutions. The syllabus pdf is also available for download.

Additionally, students can also check the detailed topic-wise list of chapters included in the syllabus of chemistry and physics from the links given below.

Download JEE Advanced Mathematics Syllabus PDF

JEE Advanced Mathematics Syllabus PDF

Te syllabus include 3D Geometry, Integrals, Conic section, Functions, Vector Algebra, Continuity and Derivability, Limits, Matrices and determinants. Instead of picking random topics, have a thorough analysis of all the concepts mentioned in the syllabus and prepare a suitable preparation strategy.

JEE Advanced Maths Syllabus

Unit 1 Algebra
Complex NumbersAlgebra of complex numbers, addition, multiplication, conjugation. Polar representation, properties of modulus and principal argument. Triangle inequality, cube roots of unity. Geometric interpretations.
Quadratic EquationsQuadratic equations with real coefficients. Relations between roots and coefficients. Formation of quadratic equations with given roots. Symmetric functions of roots.
Sequence and SeriesArithmetic, 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.
LogarithmsLogarithms and their properties.
Permutation and CombinationProblems on permutations and combinations.
Binomial TheoremBinomial theorem for a positive integral index. Properties of binomial coefficients.
Matrices and DeterminantsMatrices 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, the 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.
ProbabilityAddition and multiplication rules of probability, conditional probability. Bayes Theorem, independence of events. Computation of probability of events using permutations and combinations.
Unit 2 Trigonometry
Trigonometric FunctionsTrigonometric functions, their periodicity, and graphs, addition and subtraction formulae. Formulae involving multiple and submultiple angles. The general solution of trigonometric equations.
Inverse Trigonometric FunctionsRelations 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).
Unit 3 Vectors
Properties of VectorsThe addition of vectors, scalar multiplication. Dot and cross products. Scalar triple products and their geometrical interpretations.
Unit 4 Differential Calculus
FunctionsReal-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. Even and odd functions, the inverse of a function, continuity of composite functions, intermediate value property of continuous functions.
Limits and ContinuityLimit 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.
DerivativesThe derivative of a function, the 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.
Unit 5 Integral calculus
IntegrationIntegration 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 IntegrationApplication of definite integrals to the determination of areas involving simple curves.
Differential EquationsFormation of ordinary differential equations. The solution of homogeneous differential equations, separation of variables method. Linear first-order differential equations.

The syllabus is focused more on numerical and practical concepts. However, to develop the conceptual clarity don’t skip the theoretical portion of the concepts.

CBSE Class 12 Deleted Portion of Syllabus for 2020-2021

Check subject-wise details of the deducted portion of CBSE Class 9 syllabus from the following links:

Class 6 Geography (Social Science) SyllabusCBSE Class 12 Chemistry Syllabus 2020-2021
CBSE Class 12 Biology Syllabus 2020-2021  CBSE Class 12 Physics Syllabus 2020-2021  
CBSE Class 12 Maths Syllabus 2020-2021  CBSE Class 12 Maths Deleted Syllabus Portion For 2020-21  
CBSE Syllabus 2020-21: Check Deleted Topics From 12th Physics Syllabus 2020-21  CBSE Class 12 Chemistry Deleted Syllabus Portion For 2020-21  
CBSE Class 12 Business Studies Syllabus 2020-21 (Revised): Download Pdf  CBSE Class 12 Accountancy Deleted Syllabus Portion For 2020-21  
Light, Shadows and Reflection Class 6 Notes Science Chapter 11Artificial Intelligence syllabus for Class 10 Students by School Connect Online
CBSE Class 8 AI SyllabusArtificial Intelligence Syllabus(AI) For Class 10 Students By School Connect Online  
CBSE Related Links
NCERT  Solutions Class 6 Social ScienceNCERT Solutions for class 12 Chemistry
NCERT Solutions for class 7 MathsStudy Physics  For Class 12
CBSE Syllabus Class 11CBSE Class 11 Physics Syllabus 2020-2021
CBSE Syllabus for all classesSample Papers For Class 9 Science
NCERT Solutions for all ClassesNCERT Solutions for class 10 Maths

Other National and International Level Olympiads

AI OlympiadInternational Artificial Intelligence Olympiad 2020-21
Coding OlympiadInternational Coding Olympiad 2020-21
IMOInternational Maths Olympiad 2020-21
ISOInternational Science Olympiad 2020-21
KVPYKishore Vaigyanik Protsahan Yojana
Artificial Intelligence OlympiadInternational Artificial Intelligence Olympiad
Maths OlympiadInternational Maths Olympiad
Science OlympiadInternational Science Olympiad
Coding and Learning OlympiadInternational Coding Olympiad

Science Olympiad

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Class 1Science Olympiad Syllabus for Class 1Class 9Science Olympiad Syllabus for Class 9 (Physics)
Class 2Science Olympiad Syllabus for Class 2Class 9Science Olympiad Syllabus for Class 9 (Chemistry)
Class 3Science Olympiad Syllabus for Class 3Class 10Science Olympiad Syllabus for Class 10 (Chemistry)
Class 4Science Olympiad Syllabus for Class 4Class 10Science Olympiad Syllabus for Class 10 (Biology)

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