JEE Advanced 2024 Maths Syllabus

Particulars

Details

Exam Name

JEE Advanced

Conducted By:

Joint Admission Board 2024

Number of Papers

2

Test Duration

Paper- I: 3 hrs

Paper- II: 3 hrs

Exam Month

June (after JEE Main Results)

Maximum Marks

Paper- I: 183

Paper- II: 183

Total: 306

Subjects

Paper- I: Physics, Chemistry, Mathematics

Paper- II: Physics, Chemistry, Mathematics

Mode of Examination

Computer-Based Test (CBT) Mode

Number of Centres

321 Cities (Divided in 7 IIT Zones)

Section & Question Type

No. of Marks

No. of Questions

Section 1 (MCQs with Single Correct Option)

18

6

Section 2 (Single Correct Option)

24

6

Section 3 (Numerical Value Answer)

24

6

Section & Type of questions

No. of questions

Maximum Marks

Section 1 (MCQs with 1 or more than 1 correct answer)

6

24

Section 2 (Numerical Value answer type questions)

6

24

Section 3 (Single digit integer answer (0-9)

6

18

Units

Sub Units

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, 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, Sum 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, 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

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 and, 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: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, 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 normal, 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.

Chapter Name

Number of Questions

Marks

Application of Derivatives

3

9

Ellipse

1

3

Circles

2

6

Parabola

2

7

Definite Integral

2

7

Permutations and Combinations

1

3

Sequence and Series

1

3

Matrices

2

7

Limit and Continuity

1

4

Probability 

1

4

Complex Numbers 

1

4

Hyperbola

1

4

Topics

Marks

Calculus

40-50 marks

Vector and 3D

15-20 marks

Probability and Permutation & Combination

15-20 marks

Parabola, Hyperbola, Ellipse, Rectangular Hyperbola

15 marks

Complex Numbers

15 marks

Name of the Book

Author/Publications

Reasons why this Book Stands Out as the Best Choice for JEE Advanced Maths

Class 11 and 12

NCERT books

Comprehensive coverage of JEE Maths syllabus, aligned with the JEE exam pattern

Class 11 and 12

RD Sharma

Clear explanations and step-by-step solutions, variety of practice problems

Coordinate Geometry-Plane Coordinate Geometry 

SL Loney

Strong conceptual foundation, detailed explanations

Geometry and Trigonometry Plane Trigonometry Part 1

SL Loney

In-depth coverage of trigonometry concepts, numerous solved examples

Objective Mathematics book for JEE Main & Advanced and other Engineering Competitive Exams

RD Sharma

Comprehensive coverage of JEE Maths syllabus, focus on problem-solving skills

Algebra- Higher Algebra 

Knight and Hall

Strong theoretical background, rigorous approach

Calculus- Problems in Calculus of One Variable

IA Moron

Develops problem-solving skills, tackles advanced concepts

Differential Calculus 

A Das Gupta

Clear and concise explanations, variety of practice problems

IIT JEE for Integral Calculus 

Amit Agarwal (Arihant Publications)

Focused on JEE exam pattern, comprehensive coverage of integral calculus concepts

Course in Mathematics for IIT JEE Main and Advanced

Tata McGraw (Hill Publications)

Comprehensive coverage of JEE Maths syllabus, emphasis on conceptual understanding

Algebra Textbook for Main and Advance

Dr. SK Goyal (Arihant Publications)

Focus on problem-solving skills, collection of challenging problems