Mathematics Syllabus Grade 10 12 Pdf

JEE Main 2022 Mathematics Syllabus - NTA will release the official JEE Main 2022 maths syllabus at jeemain.nta.nic.in. The JEE Main 2022 syllabus Maths pdf will contains detailed topics that will be covered in the exam. Students can find here the complete JEE Main maths syllabus in pdf form.

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JEE Main 2022 Mathematics Syllabus : Check Topic wise PDFs

Students must prepare for the exam only using the official JEE Main Mathematics syllabus as questions are framed within its vicinity. Mathematics, being calculative in nature, requires a special analytical approach towards problem-solving. Students are thus advised to prepare a study plan by selecting topics from JEE Main syllabus for Mathematics and give sufficient time to problem-solving tactics. JEE Main exam will have 30 questions from Mathematics where 25 have to be attempted. Students can find more information about JEE Main Mathematics syllabus in the article below.

JEE Main Mathematics Syllabus 2022

Students are given below the Mathematics syllabus for JEE Main to prepare for the exam. Students are advised to strictly follow the JEE Main official syllabus for the preparation of the exam.

To Download the detailed JEE Main Mathematics Syllabus - Click Here

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JEE Main 2022 Mathematics Syllabus

S.No.	Units	Topics
1	Sets, Relations and Functions	Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;, one-one, into and onto functions, 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. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots.
3	Matrices and Determinants	Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, 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	Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications.
5	Mathematical Induction	Principle of Mathematical Induction and its simple applications.
6	Binomial Theorem and its Simple Applications	Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.
7	Sequences and Series	Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3. Arithmetico-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, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Rolle's and Lagrange's Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic - increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals.
9	Integral Calculus	Integral as an anti - derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
10	Differential Equations	Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations.
11	Co-ordinate Geometry	Cartesian system of rectangular co-ordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and 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 centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines. Circles, conic sections Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points 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	Three Dimensional Geometry	Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, 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, intersection of a line and a plane, coplanar lines.
13	Vector Algebra	Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.
14	Statistics and Probability	Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution.
15	Trigonometry	Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances
16	Mathematical Reasoning	Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive.

Also, Check,
JEE Main Physics Syllabus
JEE Main Chemistry Syllabus

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Frequently Asked Question (FAQs) - JEE Main 2022 Mathematics Syllabus : Check Topic wise PDFs

Question: Is NCERT book good while preparing for JEE Mains Mathematics syllabus?

Answer:

NCERT is the base for JEE Main syllabus for Mathematics. Thus, it is good to be thorough with that

Question: Are questions asked excepting the topics of JEE Main syllabus?

Answer:

Usually the questions asked in the exam are somewhat deviated but are from the syllabus itself.

Question: Will questions be asked from JEE Main Mathematics syllabus of class 11 also?

Answer:

Yes, the JEE Main syllabus does include topics from class 11 syllabus.

Question: How many questions are asked for JEE Main Mathematics syllabus?

Answer:

There are total 25 questions asked for Mathematics section in JEE Main.

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jee mains 2022 full syllabus and strategies for preparation in 2 months

Officially JEE main syllabus has not been released yet but yes it has been unchanged for years now, you need to follow given below syllabus for jee main 2022 which is provided below subject wise for jee main paper 1 ( for be/btech) :-

------------------) PHYSICS

*Physics and measurement

*Kinematics

*Laws of motion

*Gravitation

*Rotational motion

*Thermodynamics

*Work, energy and power

*Properties of solids and liquids

*Oscillations and waves

*Electronic devices

*Kinetic theory of gases

*Current electricity

*Communication systems

*Electromagnetic induction and alternating currents

*Magnetic effects of current and magnetism

*Optics

*Electromagnetic waves

*Atoms and nuclei

*Electrostatics

*Dual nature of matter and radiation

*Experimental Skills

>>>>>> TOP books for jee main PHYSICS :-

* NCERT Textbooks - Class XI and XII for physics
*Concepts of physics Vol I and II by HC Verma :- the best book for mastering physics for jee preparation
*Understanding Physics by D C Pandey
*Problems in General Physics by I.E Irodov

--------------------) CHEMISTRY:-

Physical chemistry:-

*Some basic concepts in chemistry

*Atomic structure

*Chemical bonding and molecular structure

*States of matter

*Chemical thermodynamics

*Solutions

*Equilibrium

*Redox reactions and electrochemistry

*Chemical kinetics

*Surface chemistry

Organic Chemistry:-

*Some basic principles of organic chemistry

*Purification and characterisation of organic compounds

*Hydrocarbons

*Chemistry in everyday life

*Principles related to practical chemistry

*Organic compounds containing halogens

*Organic compounds containing oxygen

*Organic compounds containing nitrogen

*Polymers

*Biomolecules

Inorganic Chemistry:-

*Classification of elements and periodicity in properties

*Block elements i. e alkali and alkaline earth metals

*Hydrogen

*P Block elements group 13 to group 18 elements

*d- and f - block elements

*Co-ordination compounds

*Environmental chemistry

*General principles and processes of isolation of metals

>>>>>> TOP books for jee main CHEMISTRY :-

NCERT Textbooks - Class XI and XII :- master it as many times questions have been directly asked from NCERT
*Modern Approach to Chemical Calculations by R.C. Mukherjee:- best for practicing numericals in physical chemistry
*Organic Chemistry by O P Tandon:- best for clearing all your doubts in organic chemistry
*Concise Inorganic Chemistry by J D Lee:- Best for your inorganic chemistry.

------------------) MATHS

* Sets, relations and functions

*Matrices and determinants

*Complex numbers and quadratic equations

*Mathematical induction

*Permutations and combinations

*Mathematical reasoning

*Limit, continuity and differentiability

Integral calculus

*Three-dimensional geometry

*Differential equations

*Binomial theorem and its simple applications

*Sequence and Series

*Vector algebra

*Statistics and probability

*Trigonometry

*Co-ordinate geometry

>>>>>> TOP books for jee main MATHEMATICS :

*Maths XI and XII by RD Sharma :- good for clearing your basic concepts along with NCERT
*Complete mathematics by TMH
*New pattern mathematics for JEE by Arihant publications

You can also refer to our page for jee main syllabus at

https://engineering.careers360.com/articles/jee-main-syllabus

Preparing for JEE in just 2 month is difficult as syllabus is wide and vast but yes you can definitely crack it, if you are ready to work hard ,study well and remain honest towards your preparation and study with concentration

Follow the below tips:-

------------------) Go wellnthrough your syllabus and as you have less time, focus and stress more on important and scoring topics or chapters which are listed below subject wise along with their chapter wise weight age based on past year papers :-

PHYSICS

*Modern Physics:- 20 marks
*Heat and Thermodynamics :- 12 marks
*Optics:- 12 marks
*Current Electricity :- 12 marks
*Electrostatics :- 12 marks
*Magnetics :- 8 marks

CHEMISTRY

* Transition Elements and Coordination Chemistry :- 12 marks
* Periodic table and Representative Elements :- 12 marks
* Thermodynamics And Gaseous State:- 8 marks
* Atomic Structure:- 8 marks
* Chemical Bonding:- 8 marks
* Chemical And Ionic Equilibrium:- 8 marks

MATHS

* Coordinate Geometry :- 20 marks
* Limits, Continuity and Differentiability :- 12 marks
* Integral Calculus :- 12 marks
* Complex numbers and Quadratic Equation :- 8 marks
* Matrices and Determinants :- 8 marks
* Statistics and Probability :- 8 marks
* Vector Algebra :- 8 marks

To help you plan your studies ,you can get the chapter wise weightage of all the chapters at

https://engineering.careers360.com/articles/jee-main-syllabus-weightage

------------------) Practice questions:- after finishing each chapter you should practice numericals and mcqs in order to master the concepts

------------------) Short breaks :- take short breaks in between your studies, studying continuously can be brain tiring and it becomes difficult to focus and study with concentration, so take breaks to relax and refresh your brain.

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jee mains 2022 expected marks for 99%tile

Dear aspirant,

Its a difficult thing to predict before the exam is conducted because there are many terms and conditions which needs to be considered before predicting anything.

Various factors are considered while deciding the cut offs like number of candidates appearing in the examination, number of vacant seats in college, previous years cut offs and difficulty level of the paper.

In general , you can think you need to score atleast 200 out of 300 to get 99 percentile. But as I told it may vary.

For more information you can check out the link given below-

https://engineering.careers360.com/jee-main-rank-predictor

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Joint Entrance Examination (Main) (JEE Main)