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JEE Advanced 2023 Maths Syllabus: Chapter-wise Weightage and Important Topics

JEE Advanced Result Topper

Every year, the National Testing Agency sets and releases the JEE Syllabus for all subjects namely Physics, Chemistry, and Maths. For JEE Advanced 2023 Maths, the tentative syllabus (based on previous year) is provided below on the page. The syllabus for JEE Advanced Maths 2023 is expected to be similar to the last year and is provided here on the page for students' reference. 

Students are advised to go through the JEE Advanced Maths syllabus and develop a proper preparation strategy. To prepare well for JEE Advanced, it is important to master math concepts by practising as much Mock Tests and Sample papers as possible. Maths in JEE Advanced can be tricky and lengthy and going through the entire syllabus properly can help students to score well. Students can also download the JEE Advanced Maths syllabus in PDF format from the official website. 

JEE Advanced 2023 Maths- Important Topics

Provided below are some of the important topics to cover for JEE Advanced 2023 Maths section:

  1. 3D Geometry
  2. Integrals
  3. Conic section
  4. Functions
  5. Vector Algebra
  6. Continuity and Derivability
  7. Limits
  8. Matrices and determinants

JEE Advanced 2023 Maths Detailed Syllabus 

Algebra

Complex Numbers

  • 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

  • Quadratic equations with real coefficients.
  • Relations between roots and coefficients.
  • Formation of quadratic equations with given roots.
  • Symmetric functions of roots.

Sequence and Series

  • 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

  • Logarithms and their properties.

Permutation and Combination

  • Problems on permutations and combinations.

Binomial Theorem

  • Binomial theorem for a positive integral index.
  • Properties of binomial coefficients.

Matrices and Determinants

  • 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, 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.

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

  • Trigonometric functions, their periodicity, and graphs, addition and subtraction formulae.
  • Formulae involving multiple and submultiple angles.
  • The general solution of trigonometric equations.

Inverse Trigonometric Functions

  • 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).

Vectors

Properties of Vectors

  • The addition of vectors, scalar multiplication.
  • Dot and cross products.
  • Scalar triple products and their geometrical interpretations.

Differential Calculus

Functions

  • 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.
  • Even and odd functions, the inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

Limits and Continuity

  • 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.

Derivatives

  • The 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.

Integral calculus

Integration

  • 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 Integration

  • Application of definite integrals to the determination of areas involving simple curves.

Differential Equations

  • Formation of ordinary differential equations.
  • The solution of homogeneous differential equations, separation of variables method.
  • Linear first-order differential equations.

FAQs

Question 1. How many units are there in the JEE Advanced 2023 Maths syllabus?
Answer: The JEE Advanced Maths Syllabus 2023 consists of seven units- Algebra, Matrices, Probability, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, and Vectors.

Question 2. Is Maths section easy in JEE Advanced?
Answer: As per many students, Maths is a tricky and lengthy section due to the calculation part. To score well in Maths, students must be thorough with the entire Maths syllabus provided above on the page.

Question 3. Does JEE Advanced ask out of syllabus questions?
Answer: They do give some questions which are out of syllabus but with a neat legal right that they put a comprehension type.

Question 4. Was JEE Advanced 2022 tough?
Answer: On the scale of difficulty, the JEE 2022 exam was moderately difficult. The Chemistry section in JEE Advanced paper 1 was easy to moderate with some tricky questions in Inorganic chemistry while Physics and Maths were moderately challenging. 

Question 5. Which IIT will conduct JEE Advanced 2023?
Answer. IIT Bombay was the conducting body for JEE Advanced 2022. The conducting body for JEE Advanced 2023 is yet to be announced. 

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