Basic Mathematics For Iit Jee 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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Questions related to JEE Main

Showing 125757 out of 125757 Questions

8 Views

how many times can jee conduct exam in 2022?

Dear candidate,

The National Testing Agency (NTA) conducts the engineering exam of JEE (Joint Entrance Exam) four times in a year in an online mode.

These sessions are conducted in the 4th week of February, 3rd week of March, last week of April and last week of May. The dates have not been announced yet so this is just a tentative estimation.

All the best for JEE 2022.

8 Views

Sir I got 82.49 in jee mains and 82.24 in mhtcet. I am totally confused about collages so I want help that which best collages can get me So plz help me

Hello,

Considering the previous year cut off here is the list of institutes in which you have chances of getting seat based on the given JEE Main percentile

Atharva College of Engineering,Malad(West),Mumbai: Information Technology
Dr. D. Y. Patil School OF Engineering, Lohegaon, Pune: Computer Engineering
Thakur College of Engineering and Technology, Kandivali, Mumbai: Mechanical Engineering
Jaywant Shikshan Prasarak Mandal's,Rajarshi Shahu College of Engineering, Tathawade, Pune: Electronics and Telecommunication Engg
Anjuman-I-Islam's M.H. Saboo Siddik College of Engineering, Byculla, Mumbai: Electronics and Telecommunication Engg

Based on the MHT CET score assuming that you belong to general category here is the list of institutes in which you have chances of getting seat

Sant Gadge Amravati University,Amravati: Petro Chemical Engineering
Government College of Engineering,Yavatmal: Civil Engineering
Shri Sant Gajanan Maharaj College of Engineering,Shegaon: Electrical Engg[Electronics and Power]
Rizvi Education Society's Rizvi College of Engineering, Bandra,Mumbai: Electronics and Computer Science

To check the previous year cut off click on the link given below

https://engineering.careers360.com/articles/mht-cet-cutoff

To know the institutes in which you have chances of getting seat you may use our MHT CET college predictor

https://www.careers360.com/mht-cet-college-predictor

To know the colleges in which you have chances of getting seat you can use JEE Main college predictor tool using the link below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

14 Views

my CRL rank in JEE MAINS b.arch is 60,111 and OBC- NCL rank is 21,481 can I get any NIT,SPA or any GFTI in CSAB counseling

Hello,

Considering the previous year cut off in round 2 of CSAB counselling you do not have chances to get seat in B.Architecture through CSAB counselling. Here is the previous year cut off (All India Rank) for OBC-NCL category in round 2 of CSAB counselling

National Institute of Technology, Rourkela: 2068
National Institute of Technology Raipur: 2459
National Institute of Technology Patna: 2555
National Institute of Technology Hamirpur: 2392
Maulana Azad National Institute of Technology Bhopal: 2044
School of Planning & Architecture, Bhopal: 1644
School of Planning & Architecture: Vijayawada: 1417

To check the previous year cut off click on the link below

https://admissions.nic.in/csabspl/csabsplresult/result/CurrentORCR.aspx

Cut off changes every year depending on factors such as total number of candidates appeared, difficulty level of examination and total number of seats available etc.

If you wish to get admission in B. Arch in NIT, SPA, GFTI you need to appear for JEE Main 2022 if you are eligible and score minimum 95-97 percentile. Or you can seek admission this year in private institutes accepting JEE Main score.

12 Views

kya aktu 2022 bhi jee mains ke through hoga

Hello Aspirant,

Yes, from this year the UPSEE has been scrapped and now AKTU will take admission to it's Engineering courses only on the basis of JEEE-Main score like this year.

As of now no any exact date about JEE-Main 2022 has been released but to give you an idea, if everything goes normally then we can expect JEE-Main 2022 application to get started from the month of January 2022 but nothing is announced officially yet.

For latest updates you can check out the link given below :-

https://engineering.careers360.com/exams/jee-main

If you are preparing for JEE-Main 2022 so I am enlisting down some best books for your preparation which you can use for your preparation :-

@Physics

Concepts of Physics-H. C. Verma

Fundamentals of Physics-Halliday, Resnick and Walker

Problems in General Physics-I. E. Irodov

University Physics-Freedman and Young

Understanding JEE physics series-DC Pandey

Problem In Physics-SS Krotov

@Mathematics

Higher Algebra-Hall and Knight

Coordinate Geometry-S.L. Loney

Differential and Integral Calculus-N. Piskunov

Calculus and Analytic Geometry-Thomas and Finney

IIT Mathematics for JEE Main & Advanced-M.L. Khanna

Course in Mathematics for IIT-JEE-Tata McGraw Hill publication

Problems Plus in IIT Mathematics-A Das Gupta

Trigonometry-S L Loney

@Chemistry

Modern Approach to Chemical Calculations-RC Mukherjee

Organic Chemistry-Solomons and Fryhle

Concise Inorganic-J. D. Lee

Organic Chemistry-Morrison and Boyd

University Chemistry-Freedman and Young

Physical Chemistry-N Awasthi

Arihant's Practice Book Chemistry for JEE Main And Advanced-R.K Gupta

You can also check out the JEE-Main knockout package for preparation of JEE-Main 2022 from the link given below :-

https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA

I hope this information helps you.

Good Luck!!

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Joint Entrance Examination (Main) (JEE Main)