JEE Main Maths Syllabus

JEE Main Mathematics Syllabus 2022

Mathematics is a core subject for JEE Main and JEE Advanced exams. NTA (National Testing Agency) sets the JEE Main syllabus, and the syllabus is now available on the official JEE website –  jeemain.nic.in.  

Extramarks experts have added a few additional resources to the official JEE Main MathematicsSyllabus 2022 and published it for free for all candidates on our website. Students preparing for the JEE Main exam should refer to the detailed JEE Main Maths Syllabus 2022 to understand chapters and topics coming in the exam to prepare thoroughly and score good marks in the exams. The syllabus mostly remains similar to the past year’s JEE Main Maths syllabus.

JEE Main aspirants should check out our article below on JEE Main Mathematics syllabus and create a robust and effective preparation strategy for cracking the Mathematics section in JEE 2022. We have included sections to understand each chapter, such as essential concepts, topics, course objectives, reference books, important tips, chapter-wise question weightages, etc.

Students can refer to other sections on our website to gather more JEE study materials such as JEE Main question papers, JEE Advanced question papers, JEE Main sample papers, JEE Main revision notes and solve the JEE Main mock tests for better exam preparation.

Introduction to JEE Main

JEE (Joint Entrance Examination) is a crucial step that helps engineering aspirants get selected for undergraduate engineering courses. Moreover, it is a qualifying exam for JEE Advanced. It is conducted online and is now held as a computer-based test (CBT). Students from classes 11 and 12 start preparing for the exam. Cracking JEE Main helps get admission into IITs, NITs, CFTIs and GFTIs. Both JEE Main and JEE Advanced exams continue to be based on the CBSE NCERT syllabus. 

Extramarks is the right place to get updates about JEE Main 2022. You can get all information related to JEE Main registration, JEE Main application form, JEE Main exam dates, JEE Main syllabus, JEE Main admit card dates, JEE Main cutoff from previous years, JEE Main mock tests, etc.

JEE Main Maths Syllabus 

Maths is an essential subject to cover while preparing for JEE Main. The JEE Maths syllabus is tricky, and solving them requires students to focus and use their theoretical and practical knowledge. Students must focus on understanding the basic concepts first and then practice questions thoroughly from the past papers and the mock test papers. An effective study plan for JEE requires that students know the JEE Main Maths syllabus in detail so they do not miss anything that may impact them adversely later. 

JEE Main Maths Syllabus 2022 Topic-wise

The topics for the JEE Main Maths Syllabus 2022 are as tabulated below 

Set, Relations, and Functions Complex Numbers
Determinant Quadratic Equation
Matrices Permutation & Combination
Mathematical Induction Sequence & Series
Binomial Theorem Limits & Continuity
Differentiation Statistics
Differential Equation Integral Calculus
Trigonometry Vector Algebra
Coordinate Geometry Mathematical Reasoning Logic
3-Dimensional Geometry Probability

JEE Main Mathematics Syllabus 2022 – Chapter and Topics Wise Details

Understanding each and every concept and topic is critical when you are preparing for Mathematics. Many topics are interlinked, and problems in Mathematics tend to be based on 2-3 different topics. So knowing the JEE Main Mathematics syllabus in and out becomes of utmost importance for JEE aspirants. For  Mathematics, make a study plan consisting of theory understanding, lots of practice by solving past years’ JEE Main questions and sample papers, and keep ample time for multiple revisions. 

Our Mathematics teachers and experts have designed a detailed chapter and topic wise list for JEE Main Maths syllabus 2022. 

1: Sets, Relations, and Functions

  • Sets and their representation.
  • Union, intersection, and complement of sets and their algebraic properties.
  • Powerset.
  • Relation, Types of relations, equivalence relations.
  • Functions; one-one, into and onto functions, the composition of functions.

2: Complex Numbers and Quadratic Equations

  • Complex numbers as ordered pairs of reals.
  • Representation of complex numbers in the form (a+ib) and their representation in a plane, Argand diagram.
  • Algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number.
  • Triangle inequality.
  • Quadratic equations in real and complex number system and their solutions.
  • The relation between roots and coefficients, nature of roots, the formation of quadratic equations with given roots.

3: Matrices and Determinants

  • Matrices: Algebra of matrices, types of matrices, and matrices of order two and three.
  • Determinants: Properties of determinants, evaluation of determinants, the area of triangles using determinants.
  • Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations. 
  • Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

4: Permutations and Combinations

  • The fundamental principle of counting.
  • Permutation as an arrangement and combination as a selection.
  • The meaning of P (n,r) and C (n,r). Simple applications.

5: Mathematical Induction

  • The principle of Mathematical Induction and its simple applications

6: Binomial Theorem

  • Binomial theorem for a positive integral index.
  • General term and middle term.
  • Properties of Binomial coefficients and simple applications.

7: Sequence and Series

  • Arithmetic and Geometric progressions, insertion of arithmetic.
  • Geometric means between two given numbers.
  • The relation between A.M. and G.M.
  • Sum up to n terms of special series: Sn, Sn2, Sn3. 
  • Arithmetic Geometric progression.

8: Limit, Continuity and Differentiability

  • Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions.
  • Graphs of simple functions.
  • Limits, continuity, and differentiability.
  • Differentiation of the sum, difference,  quotient of two functions and product.
  • Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two.
  • Rolle’s and Lagrange’s Mean Value Theorems.
  • Applications of derivatives: Rate of change of quantities, monotonic increasing and decreasing functions, minima and maxima of functions of one variable, tangents, and normals.

9: Integral Calculus

  • Integral as an antiderivative.
  • Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions.
  • Integration using substitution, by parts, using partial fractions.
  • Integration using trigonometric identities.
  • Integral as a limit of sum.
  • Simple Integral Evaluation:
  • Fundamental Theorem of Calculus.
  • Properties of definite integrals, definite integral evaluation, determining the areas of regions bound by simple curves in standard form.

10: Differential Equations

  • Ordinary differential equations, their order, and degree.
  • Differential equation formation.
  • The solution of differential equations using separation of variables.
  • The solution of homogeneous and linear differential equations of the type:

11: Coordinate Geometry

  • Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus, and its equation, translation of axes, the slope of a line, parallel as well as perpendicular lines, intercepts of a line on the coordinate axes.
  • Straight lines: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines.
  • Distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.
  • Circles, conic sections: Standard form of the equation of a circle, the general form of the equation of a circle, its radius and centre, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent.
  • Sections of cones, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency.

12: 3D Geometry

  • Coordinates of a point in space, the distance between two points.
  • Section formula, direction ratios and direction cosines, the angle between two intersecting lines.
  • Skew lines, the shortest distance between them and its equation.
  • Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.

13: Vector Algebra

  • Scalars and Vectors. Addition, subtraction, multiplication, and division of vectors.
  • Vector’s Components in 2D and 3D space.
  • Scalar products and vector products, triple product.

14: Statistics and Probability

  • Measures of Dispersion: Calculation of mean, median, variance, mode, standard deviation, mean deviation of ungrouped as well as grouped data.
  • Probability: Probability of events, addition theorems, multiplication theorems, Baye’s theorem, Bernoulli trials, Binomial distribution, and probability distribution.

15: Trigonometry

  • Identities of Trigonometry and Trigonometric equations.
  • Functions of Trigonometry.
  • Properties of Inverse trigonometric functions.
  • Problems on Heights and Distances.

16: Mathematical Reasoning

  • Logical operations and statements
  • Contradiction, tautology, contrapositive, and converse understanding

JEE Main Maths Syllabus Weightage – Topic Wise

We advise students to give equal importance to all chapters and topics while preparing for the JEE Main Maths syllabus. However, insight into which topics are more important based on past question papers is useful. 

Extramarks team has analysed 100’s of JEE Main question papers from 2015 to 2021. Based on our findings, we are giving high-to-low weightage of the topics that may have higher chances of appearing in the JEE Main 2022 exam. Using this knowledge, students can focus more on chapters from which maximum questions are likely to come.

Chapter / Topic name from JEE Main Maths syllabus Weightage
Differential Calculus  17%
Coordinate Geometry  17%
Integral Calculus 14%
Trigonometry 8%
Matrices and Determinants 8%
Sequences and Series  8%
Complex Numbers 4%
Quadratic Equations  4%
Probability  4%
Statistics  4%
Permutations and Combinations  3%
Algebra 3%
Binomial Theorem 3%
Mathematical Reasoning 3%

Distribution of JEE Main Mathematics Syllabus 2022  – 11th and 12th Class-wise 

Another interesting piece of information that should help students, is the distribution of the JEE Maths Syllabus by Class 11 vs Class 12.

Class XI Topics Class XII Topics 
Logarithms & Related Expressions Limits, Continuity & Differentiability
Quadratic Equations & Expressions Method of differentiation
Sequence & Progressions Indefinite Integration
Compound Angles Definite Integration
Trigonometric Function, Equations & Inequations Application of Derivatives
Solutions of Triangles Determinants and Matrices
Circles Vectors
Straight Lines & Pair of Lines 3-Dimensional Geometry
Binomial Theorems Probability
Permutations & Combinations Differential Equations
Sets, Relations & Functions Area Under Curve
Mathematical Inductions & Reasoning Parabola, Elipse, Hyperbola
  Complex Number
  Statistics

JEE Main Maths Syllabus – Best Books and Reference Materials

Mathematics is an extensive subject, and candidates should refer to a good set of textbooks for preparing well for their JEE Main Maths syllabus. 

The NCERT syllabus covers all important topics which are a part of the JEE Main Mathematics syllabus. NCERT textbooks and NCERT exemplars are considered the best resources for JEE Main Mathematics syllabus preparation. 

Apart from NCERT books, below list of books are recommended Extramarks for preparing for the JEE Main Maths:

Section Book and Author Name
Algebra Algebra by Dr S K Goyal from Arihant Publications
Differential Calculus Differential Calculus by Amit M Agarwal from Arihant Publications
Integral Calculus Integral Calculus by Amit M Agarwal from Arihant Publications
Coordinate Geometry The Elements Of Coordinate Geometry written by S L Loney
Geometry Geometry by Dr Gorakh Prasad 
Practising Problems Play with Graphs by Amit M Agarwal from Arihant Publications
Trigonometry Plane Trigonometry by S L Loney
Maths Basics Objective Mathematics by R D Sharma

JEE Main Maths Syllabus vs JEE Advanced Maths Syllabus – Topic Wise Comparison

Candidates appearing for JEE Main desire to clear the JEE Main first and then make it to the JEE Advanced level. So the students need to have a clear understanding of the syllabus and variation between Main and Advanced. Most of the topics are common, but few exclusive topics are covered in each exam. Below is a summary of the different topics for easy reference.

Common Topics in Both for JEE Maths Syllabus Topics in JEE Main 

But not in JEE Advanced

Topics in JEE Advanced 

But not in JEE Main

  • Quadratic Equations
  • Logarithms
  • Probability
  • Binomial Theorem
  • Trigonometry
  • Vectors
  • Differential Calculus
  • Limits
  • Derivatives
  • Integral calculus
  • Complex Numbers
  • Sequences and Series
  • Matrices and Determinants
  • Permutations and Combinations
  • Trigonometric and Inverse Trigonometric Functions
  • Differential Equations
Sets, Relations, & Functions:

  • Representation of Sets
  • Unions, Intersections, & Compliments
  • Types of Relations & Equivalent Relations
  • Power Sets
  • Algebraic Properties of Sets

Trigonometry:

  • Heights and Distances

Statistics & Probability:

  • Calculating Mean & Median
  • Measures of Dispersion
  • Calculating Mode of Grouped/Ungrouped Data
  • Calculating Variance, Mean, & Standard Deviation of Grouped/Ungrouped Data

Mathematical Reasoning:

  • Statements & Logical Operations
  • Tautology
  • Contradiction
  • Converse
  • Contrapositive
None

Benefits of Solving JEE Main Mathematics Question Paper:

  • Students can develop a fair understanding of JEE Main Maths syllabus by solving multiple JEE Main question papers with solutions.
  • Students who solve past years’ papers are more likely to perform well in exams.
  • It also helps students to boost their speed and accuracy in the actual exam.
  • Analysis of the JEE Main question paper will help to familiarise students with the exam pattern and help them score better marks. 

JEE Main Maths Syllabus Preparation Tips:

  • Keep the entire JEE Main Mathematics syllabus in mind and the weightage to each topic.
  • Be thorough with the NCERT books of classes 11 and 12 and the NCERT Exemplar books.
  • Solve questions of higher levels from good books.
  • Analyse and solve as many past years’ JEE Main question papers as possible, and always simulate the exact examination time conditions; this will help manage time pressure well. 
  • Attempt mock tests regularly, possibly one per week.
  • Regular revision of the previously studied JEE Main concepts is essential to prevent losing touch with concepts.
  • Understand the JEE Main question paper pattern and prepare a pre-examination strategy.
  • A positive attitude and a healthy lifestyle while preparing for JEE Main will give a healthy outlook towards life and enhance mental stability. 

Do’s and Don’ts for JEE Main Exam:

Do’s:

  • Read each question very carefully to ensure a clear understanding, as students often misinterpret questions.
  • Start the question paper by attempting the more straightforward and medium questions of the JEE Main question paper first, which will help boost the candidate’s morale and help in increasing the JEE Main score. 
  • If you get a tricky and time-consuming question, please move to the next question, and translate that, as there is a similar marking for all questions. You can come back to solve the slightly tricky questions once all easy questions are solved.

Don’ts:

  • The candidates are advised not to read each question thoroughly and solve it carefully and correctly. Solving questions in haste may result in silly mistakes.
  • Anxiety during the exam is a significant factor and brings down students’ scores; hence students must solve past year question papers in a timed manner, precisely as they have to do later. 
  • Wearing uncomfortable clothes during exams will decrease the productivity of the candidate.

How Can Extramarks Help to Crack JEE Main Mathematics Exam 2022?

Mathematics requires a very high understanding of basic concepts. Candidates must practise, practise and practise!! Candidates must practise so much that all the important formulae get naturally imprinted in their memory. Extramarks JEE Main mock test series helps understand the exam trends, marking scheme and other similar details. 

Extramarks keeps track of your performance when you take JEE Main mock tests on our platform. It generates personalised practice sets containing curated questions from the most important chapters and topics to improve your weaker topics. 

FAQs (Frequently Asked Questions)
1. Is JEE Main Mathematics challenging?

JEE Main Mathematics is one of the most challenging subjects, and it requires great attention and time for exam preparations. JEE Main Maths requires that students focus on good time management, excellent problem-solving skills, and knowledge concepts. Having all formulae in a single place helps. Ideally, students should begin their JEE Main preparation journey with the Maths syllabus.

2. Will NCERT books be good enough to help prepare for the JEE Mains Maths syllabus?

NCERT books cover the basics of JEE Main Mathematics Syllabus. Hence, candidates must be thorough with the NCERT books to clear concepts. However, they are not enough. One also needs to use mock tests, past years’ questions, and other books highlighted in the above section of this article to build mastery over the Mathematics subject.

3. How much time does one require to prepare for the JEE Main Maths syllabus?

The duration of finishing the JEE Main Maths syllabus depends on the pace and the thoroughness with which the student wants to complete it. Aspirants should have a study timetable that focuses on each topic, based on weightages and start preparing early, ideally during class 11. That will help avoid the last-minute anxiety that most of the students face. The JEE Main Maths syllabus is extensive, and it will take a significant amount of time to cover it all.

4. Is 98 percentile a good score in JEE Main?

Yes, the 98 percentile is a good enough score to help secure a top NIT seat for you.

5. I am having trouble with definite integrals, will excluding that from my study plan be ok? Is it included in the JEE Main 2022 Maths Syllabus?

Yes, Definite Integrals are included in JEE Main 2022 Maths Syllabus, and one must not skip studying the same.

6. Which topic in JEE Main Maths Syllabus has the highest weightage?

As per previous years’ analysis, both coordinate differential calculus and geometry have the highest weightage, with each carrying 17% of the total marks of the paper.