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## IIT JEE Advanced Maths Syllabus

Last updated date: 26th Mar 2023
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An eminent exam like IIT-JEE Advanced ranks 1 among the other engineering exams. Every year, the types of questions are not the same, they come up with mixed concepts.

Preparing for this exam demands a great practice over all the concepts, which means a student should be prepared from all spheres because what may appear in the upcoming exam always remains a mystery.

The NTA conducts the JEE exams and releases the notification regarding the dates, syllabus, therefore, students need to be well-prepared before the exam date arrives; however, to make you well-prepared for the upcoming JEE Advanced 2022, Vedantu has provided the latest JEE Advanced Mathematics Syllabus 2022 on its homepage.

Below mentioned is the Chapter-wise JEE Advanced Mathematics syllabus 2022. These are as per the latest JEE Advanced 2021 Mathematics syllabus:

Competitive Exams after 12th Science

## JEE Advanced Complete Mathematics Syllabus 2022

1. Algebra

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

### How to Prepare for the JEE Advanced 2022?

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 2022, 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 2022 Chapter Wise High-to-Low Weightage for Mathematics

 Topic Weightage CalculusDifferential, andIntegral Calculus 16-17%38 marks questions may appear in the JEE Advanced 2022 Algebra 14-15% Trigonometry 13-14%10 marks are expected from this portion Coordinate Geometry 12-13%18 marks from this portion are expected Matrices Determinants Combined Weightage: 12-13%14 marks are expected from the Matrices portion Vector&3-D Combined Weightage: 11-12%11 marks are expected from the Vector& 3-D portion Application for Derivatives 9-10% Probability 8-9%

### Important Mathematics Chapters for JEE Advanced 2022

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 2022, 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 2022 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.

1. List the Best Books for the JEE Advanced Maths Preparation.

The below-listed books are the best for maths preparation:

• Objective base-building book: RD Sharma

• Algebra: Higher Algebra by Hall & Knight

• Calculus: Problems on Calculus by I.A.Maron

• Differential Calculus by A.S. Das Gupta

• Trigonometry & Geometry  - Plane Trigonometry Part - 1: S.L. Loney

• Coordinate Geometry: Plane Coordinate Geometry Part - 1 by S.L. Loney

2. Who will be conducting the JEE Advanced 2021?

This year, IIT Delhi has handed over the responsibility of orchestrating the JEE exams to IIT Kharagpur, while the notification related to the exam date, and further process will be soon released by the NTA.

3. Will the JEE Advanced 2021 be postponed?

Yet, there is no official notification regarding the postponement of the exam; however, looking at the present situation, the National Testing Agency will review the dates and finalize those for the JEE Main 2021 soon after the school reopens, and accordingly, the dates for the JEE Advanced 2021 will be announced.

4. Who is Eligible for JEE Advanced 2021?

Candidates must possess the age less than 25 years and must have passed 12th or equivalent in the year 2020 from the recognized board with 75% for the General category and 65% for SC/ST/PWD.

Along with that, it is to be noted that one can avail all the well-researched and good quality chapters, sample papers, syllabus for JEE Advanced and much more from the website of Vedantu and its mobile application available on the play store.

5. How do I prepare for both the JEE and the board exams at the same time?

JEE Main and 12th Board exams usually always occur at the same time. It forces the student to focus solely on JEE preparation. As a result, it is critical to study for both the board examinations and the JEE at the same time. Aspirants who choose the correct content, books, and tutoring are far more likely to succeed in the exam. Certain publications, such as NCERT and HC Verma, feature a large number of questions from practical applications of principles that might help you study for both exams. Vedantu has all the materials that will be of great use when you face yourself against such a situation. Head over to the website and let our experts guide your way through.