JEE Advanced 2024 Maths Syllabus - Free PDF Download

1. Algebra    

1. Quadratic Equations    

2. Complex Numbers

3. Logarithms    

4. Sequence and Series

5. Probability

6. Matrices and Determinants

7. Binomial Theorem    

8. Permutation and Combination

2. Trigonometry

1. Trigonometric and Inverse Trigonometric Functions

3. Vectors

1. Properties of Vectors

4. Differential Calculus    

1. Functions

2. Derivatives

3. Limits    

4. Continuity

5. Integral Calculus    

1. Differential Equations    

2. Integration and its application

6. Analytical Geometry    

1. 3 Dimensional Geometry    

2. 2 Dimensional Geometry

7. Matrices

Download the JEE Advanced Mathematics 2024 Syllabus PDF

Get the JEE Advanced Syllabus PDF here available as free downloads on the Vedantu site because preparing according to the syllabus will ensure that you are well-prepared for all the important topics. Downloading the JEE Advanced Full Mathematics Syllabus 2021 will help you to boost your preparation and score high in the upcoming exam. For downloading the syllabus, click on the link available on the website of Vedantu.

How to Prepare for the JEE Advanced 2024?

A JEE aspirant should always do a smart preparation because a prestigious exam like the JEE Advanced never has fixed criteria of the questions; therefore, to tackle this exam,  an aspirant must focus more on the important topics, which means the topic with a higher weightage; for your convenience, our subject-matter experts have done a comprehensive study on the trends of questions asked in the past exams, and shared a list of significant topics for the JEE Advanced 2024, which will be helpful for you to understand the important Mathematics topics. The below table lists the topics with the respective weightage:

Expected JEE Advanced 2024 Chapter Wise High-to-Low Weightage for Mathematics

Important Mathematics Chapters for JEE Advanced 2024

Maths has been a subject of utmost importance since a very early age. With all the concepts at fingers, a hard problem becomes a play, the same methodology applies to JEE exams also. The chapters of Class 11 lay the foundation of Class 12 chapters. However, the weightage of topics of Class 11 mathematics is 40% to 50%; yet these cannot be ignored as the advanced versions of these chapters are a part of the Class 12th syllabus.

In JEE Advanced 2024, no matter, you are good at Mathematics or not but if you are able to gain command over the following topics,  you can score high in the Mathematics exam:

• Definite Integration

• Matrices 

• Determinants

• Limits, Continuity & Differentiability

• Parabola

• Straight Lines

• Circle

• Vector & 3-Dimensional Geometrical System

• Sequences & Series (Expected: 3 marks)

• Area Under Curves

• Differential Equation

• Probability (9 marks expected)

• Coordinate Geometry 

• Permutations & Combinations: (Expected 3 marks)

• Application of Derivatives

• Progressions

• Binomial Theorem (Expected 3 marks)

• Complex Numbers (Expected: 7 marks)

• Quadratic Equation: (Expected: 3 marks)

• Fundamentals of Mathematics: (Expected: 5 marks)

Preparation Tips by Vedantu’s Experts on JEE Advanced Mathematics

Students must go through the PYQPs and know the detailed syllabus because doing these two things will give you the following information about the upcoming JEE Advanced 2024 exam:

1. Exam pattern

2. The difficulty level of the exam

3. Marks-wise distribution

4. Weightage of the topics: Through the comprehensive syllabus, you can make a preparation strategy for the high-to-low topic preparation.

5. Cognizance of a variety of questions made in a single concept.

6. Duration of the exam, etc.

7. Practice the sample papers to enhance your strengths and weaknesses and make a    preparation strategy to improve your preparation level.

8. Students must follow a comprehensive approach to having a firm hold on the concepts.

9. A student must stick with a proper preparation strategy to cover all the topics of the vast subject like Mathematics. 

10. Select the best books for your preparation, prepare notes and regularly revise those.

11. Take proper sleep and food, prepare early in the morning with a fresh mind.

Syllabus for Maths

The Maths syllabus for JEE Advanced includes all these components:

1. Algebra

Algebra of complicated numbers, addition, multiplication, conjugation, polar representation, residences of modulus and major argument, triangle inequality, dice roots of unity, geometric interpretations. Quadratic equations with actual coefficients, family members among roots and coefficients, symmetric properties of roots, formulation of quadratic equations with specified roots. Arithmetic, geometric and harmonic progressions, mathematics, geometric and harmonic means, sums of finite mathematics and geometric progressions, countless geometric series, sums of squares, and cubes of the primary n herbal numbers. Logarithms and their residences. Permutations and combinations, binomial theorem for a nice crucial index, residences of binomial coefficients.

2. Matrices

Matrices as a square array of actual numbers, equality of matrices, addition, multiplication with the aid of using a scalar and fabricated from matrices, transpose of a matrix, determinant of a rectangular matrix of order as much as 3, inverse of a rectangular matrix of order as much as 3, residences of those matrix operations, diagonal, symmetric and skew-symmetric matrices and their residences, answers of simultaneous linear equations in or 3 variables.

3. Probability

Addition and multiplication regulations of opportunity, conditional opportunity, Bayes Theorem, independence of activities, computation of opportunity of activities, the use of diversifications and combinations.

4. Trigonometry

Trigonometric features, their periodicity, and graphs, addition and subtraction formulae, formulae regarding a couple of and a sub-a couple of angles, the standard answer of trigonometric equations. Relations among aspects and angles of a triangle, sine rule, cosine rule, half-perspective formula and the vicinity of a triangle, inverse trigonometric features (major cost only).

5. Analytical geometry

Two dimensions: Cartesian coordinates, the distance among  factors, segment formulae, The shift of origin. Equation of a direct line in numerous forms, perspective among  lines, a distance of a factor from a line; Lines via the factor of the intersection of  given lines, equation of the bisector of the perspective among  lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle. Equation of a circle in numerous forms, equations of tangent, regular, and chord. Parametric equations of a circle, the intersection of a circle with a direct line or a circle, equation of a circle via the factors of the intersection of circles and people of a circle and a direct line. Equations of a parabola, ellipse, and hyperbola in fashionable form, their foci, directrices and eccentricity, parametric equations, tangent, and regular equations. Locus problems.

Three dimensions: Direction cosines and path ratios, equation of a direct line in space, equation of a plane, a distance of a factor from a plane.

6. Differential calculus

Real valued features of an actual variable, into, onto, and one-to-one features, sum, the difference, product, and quotient of features, composite features, absolute cost, polynomial, rational, trigonometric, exponential, and logarithmic features. Limit and continuity of a function, restrict and continuity of the sum, difference, product and quotient of features, L’Hospital rule of assessment of limits of features. Even and abnormal features, the inverse of a function, continuity of composite features, intermediate cost belongings of non-stop features. Derivative of a function, a by-product of the sum, difference, product, and quotient of characteristics, chain rule, polynomial derivatives, rational, trigonometric, and inverse trigonometric, exponential, and logarithmic features. Derivatives of implicit features, derivatives up to the reserve, geometrical interpretation of the by-product, tangents and normals, growing and lowering features, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s suggest cost theorem.

7. Integral calculus

Integration because of the inverse method of differentiation, indefinite integrals of fashionable features, precise integrals and their residences, essential theorems of crucial calculus. Integration with the aid of using parts, integration with the aid of using the techniques of substitution and partial fractions, the utility of precise integrals to the willpower of regions regarding easy curves. Formation of normal differential equations, answer of homogeneous differential equations, linear first-order differential equations, and separation of variables technique.

8. Vectors

Addition of vectors, scalar multiplication, dot and pass products, scalar triple products and their geometrical interpretations.