IIT JEE Main Maths Study Materials All Chapters
 Sets and Relations
 Functions
 Complex Numbers
 Quadratic Equations
 Matrices & Determinants
 Permutations & Combinations
 Binomial Theorem and Mathematical Induction
 Sequence & Series
 Limit, Continuity & Differentiability
 Differentiation
 Indefinite Integration
 definite integrals
 Area Under Curve
 Differential Equations
 Cartesian system of rectangular coordinates in a plane
 Straight Line
 Pair of Straight Line
 Circle
 Parabola
 Ellipse
 Hyperbola
 3Dimensional Geometry
 Vector Algebra
 Statistics
 Probability
 Trigonometrical identities and equations
 Trigonometrical functions.
 Inverse trigonometrical functions
 Mathematical Reasoning
JEE Main 2021 Mathematics Syllabus
The Mathematics section of JEE Main 2021 will be of 100 marks (25 questions of 4 marks each). However, for any question answered incorrectly, one mark will be deducted. In 2019, the highest weightage in Mathematics was given to chapters like sequence and series, straight lines, 3D, Determinant, etc. Check out the detailed JEE Main January 2020 Paper 1 syllabus for Mathematics.
Units  Topics 

Unit 1: Sets, relations and functions 

Unit 2: Complex numbers and quadratic equations 

Unit 3: Matrices and determinants 

Unit 4: Permutations and combinations 

Unit 5: Mathematical induction 

Unit 6: Binomial theorem and its simple applications 

Unit 7: Sequences and series 

UNIT 8: Limit, continuity and differentiability 

Unit 9: Integral calculus 

 
Unit 10: Differential equations 

Unit 11: Coordinate geometry 

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.  
Unit 12: Three dimensional geometry 

Unit 13: Vector algebra 

Unit 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. 
Unit 15: Trigonometry 

Unit 16: Mathematical reasoning 

Best books for JEE Main 2020 Maths
Mathematics is generally considered the toughest of all subjects and includes comprehensive problems on prescribed topics. Its preparation requires a lot of practice of relevant questions and deep understanding of concepts. Maths though is very scoring and if prepared well, you can score full marks, ultimately fetching you a good rank. The reference books for practising the problems of JEE Main mathematics are given here
Best books for JEE Main Maths
S.No  Name of the book and author  Book will be best for 
1.  Objective Mathematics by R D Sharma  Basics of every topic 
2.  Plane Trigonometry by S L Loney  Trigonometry 
3.  The Elements Of Coordinate Geometry by S L Loney  Coordinate Geometry 
4.  Algebra by Dr S K Goyal Arihant Publications  Algebra 
5.  Play with Graphs by Amit M Agarwal (Arihant Publications)  For solving problems 
6.  Differential Calculus by Amit M Agarwal (Arihant Publications)  Calculus 
7.  Integral Calculus by Amit M Agarwal (Arihant Publications)  Calculus 
8.  Complete mathematics for JEE Main TMH  For explanation of topics 
JEE Main Topicwise Weightage for Mathematics
Below is the previous years JEE Main weightage along with important topics asked in the exam.
Topics  No of Questions  Marks  Weightage 

Quadratic Equation  1  4  3.33% 
Sequences and Series  2  8  6.67% 
Trigonometric Equation  1  4  3.33% 
Limit  1  4  3.33% 
Differentiability  1  4  3.33% 
Indefinite Integration  1  4  3.33% 
Definite Integration  1  4  3.33% 
Differential Equation  1  4  3.33% 
Area Under the Curve  1  4  3.33% 
Straight Line  2  8  6.67% 
Vector  1  4  3.37% 
3D  2  8  6.67% 
Permutation and combination  1  4  3.33% 
Probability  1  4  3.33% 
Complex Number  1  4  3.33% 
Binominal Theorem  1  4  3.33% 
Determinant  2  8  6.67% 
Tangent and Normal  1  4  3.33% 
Maxima and Minima  1  4  3.33% 
Statistics  1  4  3.33% 
Parabola  1  4  3.33% 
Ellipse  1  4  3.33% 
Hyperbola  1  4  3.33% 
Mathematical Reasoning  1  4  3.33% 
Height & Distance  1  4  3.33% 
Sets  1  4  3.33% 
Total  30  120  100% 