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JEE Advanced Mathematics Important Chapters

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Last updated date: 17th May 2024
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Most Important Chapters for JEE Advanced Maths: Tips and Tricks to Score Good Marks

JEE Advanced Mathematics is a crucial section that requires thorough preparation and a clear understanding of the syllabus. Within the vast mathematics syllabus, certain chapters are considered particularly important for scoring high marks in the examination. These JEE Advanced Mathematics important chapters play a pivotal role in determining a candidate's overall performance and rank.


Mastering these chapters not only ensures a strong foundation in mathematics but also enhances problem-solving skills and analytical abilities. In this article, we will explore the key JEE Advanced Mathematics important chapters and understand why prioritising them is vital for excelling in this prestigious examination.

Most Important Mathematics Chapters for JEE Advanced

For JEE Advanced, the syllabus is extensive and covers a wide range of topics in Physics, Chemistry, and Mathematics. While all chapters are important, some carry more weightage and are considered crucial for scoring well in the exam. Here are the most important chapters for JEE Advanced:


S.No

Sections

Topics

1

Algebra

Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Statement of fundamental theorem of algebra, Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic and geometric progressions, arithmetic and geometric means, sums of finite arithmetic and geometric progressions, infinite geometric series, sum of the first n natural numbers, sums 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.

2

Trigonometry

Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Inverse trigonometric functions (principal value only) and their elementary properties. 

3

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, 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: Distance between two points, direction cosines and direction ratios, equation of a straight line in space, skew lines, shortest distance between two lines, equation of a plane, distance of a point from a plane, angle between two lines, angle between two planes, angle between a line and the plane, coplanar lines. 

4

Differential Calculus

Limit of a function at a real number, 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. 

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. 

Tangents and normals, increasing and decreasing functions, derivatives of order two, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem, geometric interpretation of the two theorems, derivatives up to order two of implicit functions, geometric interpretation of derivatives. 

5

Integral Calculus

Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals as the limit of sums, definite integral 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 bounded by simple curves. 

Formation of ordinary differential equations, solution of homogeneous differential equations of first order and first degree, separation of variables method, linear first order differential equations. 

6

Vectors

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


JEE Advanced Maths 2024 Chapter Wise Marks Weightage 

Navigating the intricate landscape of JEE Advanced Mathematics demands strategic preparation. This guide delves into the chapter-wise marks weightage, shedding light on the distribution of marks across various mathematical concepts. Understanding the significance of each chapter's weightage empowers aspirants to tailor their study plans, prioritising high-weightage topics while ensuring a holistic grasp of the syllabus. With this insight, candidates can optimise their efforts, focusing on chapters that contribute significantly to their overall score. Embrace a data-driven approach to JEE Advanced Mathematics and pave the path to a successful examination outcome.


Topic

Weightage

Calculus

  • Differential, and

  • Integral Calculus

16-17%

38 marks questions may appear in the JEE Advanced 2024

Trigonometry

13-14%

10 marks are expected from this portion

Algebra

14-15%

Matrices Determinants

Combined Weightage: 12-13%

14 marks are expected from the Matrices portion

Coordinate Geometry

12-13%

18 marks from this portion are expected

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%



Tips to Score Good marks in JEE Advance Maths

Scoring good marks in JEE Advanced Mathematics requires a combination of solid preparation and effective exam strategies. Remember, consistent and focused efforts, along with a thorough understanding of concepts, are key to scoring well in JEE Advanced Mathematics. Here are some tips to help you excel in JEE Advanced Maths:


  • Master Fundamentals: Build a strong foundation by thoroughly understanding the basic concepts and principles. This will help you tackle complex problems with ease.

  • Practice Regularly: Solve a wide variety of problems from different chapters. Regular practice will improve your problem-solving skills and speed.

  • Time Management: Practise solving questions under timed conditions to improve your speed and accuracy during the actual exam.

  • Prioritise Important Topics: Identify the high-weightage chapters and focus on mastering them first. Don't neglect other topics, but allocate more time to important ones.

  • Revise Regularly: Consistent revision of important formulas and concepts is essential to retain information effectively.

  • Analyse Past Papers: Practise solving previous years' JEE Advanced Maths papers to understand the exam pattern and identify recurring concepts.

  • Seek Help: If you encounter difficulty in understanding a concept, seek help from teachers, mentors, or online resources.

  • Stay Calm and Confident: Maintain a positive attitude and stay confident during the exam. Manage exam stress effectively.

  • Avoid Guesswork: While negative marking is applicable, avoid blind guessing. Attempt questions you are reasonably sure about.

  • Take Mock Tests: Regularly take full-length mock tests to assess your      preparation level and identify areas that need improvement.


Conclusion 

The JEE Advanced Mathematics important chapters play a vital role in determining a candidate's performance in the examination. These chapters carry significant weightage and are frequently asked in the paper. Mastering these topics is essential for building a strong foundation in mathematics and developing problem-solving skills. While all chapters are crucial, focusing on the important ones enables students to optimise their preparation and score well in the exam. Regular practice, solving previous years' papers, and seeking guidance from teachers or mentors further enhance the understanding of these chapters. A balanced and comprehensive approach to studying the important chapters ensures better performance and increases the chances of success in the JEE Advanced Mathematics section.

FAQs on JEE Advanced Mathematics Important Chapters

1.  What are JEE Advanced Mathematics important chapters?

JEE Advanced Mathematics important chapters are specific topics that carry significant weightage in the exam and are frequently asked. They are crucial for scoring well and determining a candidate's overall rank.

2. How many important chapters are there in JEE Advanced Mathematics?

The number of important chapters may vary, but typically, there are around 10 to 12 important chapters in JEE Advanced Mathematics.

3. How can I identify the important chapters in JEE Advanced Mathematics?

The important chapters can be identified based on their historical weightage of marks in previous years' papers and the frequency of questions asked from these topics.

4. Can focusing only on the important chapters help me score well in JEE Advanced Mathematics?

While focusing on important chapters is beneficial, a comprehensive understanding of all topics in the Mathematics syllabus is necessary for scoring well in JEE Advanced.

5. Are the important chapters for JEE Advanced Mathematics the same every year?

The important chapters may vary slightly from year to year, depending on the JEE Advanced examination pattern and trends.

6. How should I prioritise studying the important chapters in JEE Advanced Mathematics?

It is recommended to start with the important chapters first and then gradually move on to cover the entire syllabus. However, allocate sufficient time to master all topics.

7. Can I solely rely on important chapters for JEE Advanced Mathematics preparation?

While important chapters are significant, a comprehensive preparation covering the entire syllabus is essential to perform well in JEE Advanced Mathematics.

8. Can solving questions from important chapters in JEE Advanced Mathematics guarantee a good rank?

Scoring well in JEE Advanced Mathematics requires consistent practice, understanding concepts, and thorough preparation across all topics, including important chapters.

9. How can I effectively revise the important chapters before the JEE Advanced exam?

Plan a revision schedule, solve practice questions, and take mock tests to assess your preparation level. Focus on revising key concepts and formulae regularly to retain the information effectively.

10. Can teachers use important chapters as part of their teaching methodology for JEE Advanced Mathematics?

Yes, teachers can use important chapters to prioritise topics and focus on key concepts during their teaching to help students prepare effectively for the exam.