JEE Main 2020 Mathematics Syllabus: Important Topics

JEE Main Mathematics Syllabus

Joint Entrance Examination Main 2020 is one of the most famous entrance examinations in India. Every year, approximately 15,00,000 candidates appear in the examination out of which only 2,00,000 qualify to appear in JEE Advanced Examination. The candidates who are planning to appear for JEE Main 2020 should make a list of important chapters of mathematics and try to cover them before proceeding to rest of the topics. In this way, the aspirants can not only get strong command on extremely important topics but less important topics as well. The aspiring candidates must read the below article for complete and detailed information related to JEE Main 2020 Mathematics Syllabus.

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JEE Main 2020 Mathematics Syllabus

The chapter-wise weightage for jee mains maths, the official Jee Main syllabus website and Tips and Tricks to crack Jee main in next 6 months links are given below.

Unit 1: Sets, Relations, and Functions

Sets and the Representation of Sets, Intersection, Union, and Complement of a Set and Their Algebraic Properties, Meaning of Power Set, Definition of Relation, Different Types of Relations, Meaning of Equivalence Relations, Definition of Functions, One-One Functions, Into Functions, and Onto Functions, Meaning of Composition of Functions.

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Unit 2: Complex Numbers, and Quadratic Equations

Complex Numbers, Sum of Two Complex Numbers, Product of Two Complex Numbers, Difference of Two Complex Numbers, Division of Two Complex Numbers, Modulus and Argument of a Complex Number, Polar Form of a Complex Number, Geometrical Representation of Complex Numbers, Vector Representation of Complex Numbers, Conjugate of Complex Numbers, Method for the Square Root of Complex Numbers, Cube Roots of Unity (1, ω, ω²), De-Moivre’s Theorem, n-th Root of a Complex Number, Representation of Roots of Unity, Common Properties of Roots of Unity.

Unit 3: Matrices and Determinants

Definition, Various Types of Matrix, Properties of Matrix Multiplication, Various Kinds of Matrices, Transpose of Matrix, Properties of Transpose, Symmetric Matrix, Definition of Adjoint of a Matrix, Working Rule for Finding the Adjoint of A, Rule to Write the Cofactor of an Element a [i][j], Inverse of Matrix, Properties, Inverse of a Matrix is Unique, Rank of a Matrix, Sub–Matrix of Order r, Rank of a Given Matrix A is said to be r, Working Rule, Solution of Equations, Representation of Equations in Matrix Form.

Unit 4: Permutations and Combinations

Definitions of Permutation, Definitions of Combination, Fundamental Theorem, Important Results, Other Important Concepts on Permutations and Combinations.

Unit 5: Mathematical Induction

A principle of Mathematical Induction and its Simple Applications.

Unit 6: Binomial Theorem and its Simple Applications

Statement of Binomial Theorem for Positive Integral Index, General Term, T[r+1], Binomial Coefficients of Terms Equidistant from Beginning and End are Equal, Number of Terms and Middle Term, Values of Binomial Coefficients, Term Containing x[r] will occur in T[r+1], Term Independent of x in the expansion of (x + a) ^ n, Terms Equidistant from Beginning and End of Binomial Expansion (x+a) ^ n.

Unit 7: Sequences 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: S[n], S[n^2], S[n^3], Arithmetic–Geometric Progression.

Unit 8: Limit, Continuity, and Differentiability

The Basic Concept, Fundamental Algebraic Operation on Limits of Function, Standard Limits, Indeterminate Forms, Sandwich Theorem, Some Important Expansions, Factorization Method, Rationalization Method, Based on the Standard Formula, Trigonometrical Limits, Logarithmic Limits, Exponential Limits, 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 up to Two, Rolle’s and Lagrange’s Mean Value Theorems, Applications of Derivatives.

Unit 9: Integral Calculus

Integral as an Antiderivative, 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.

Unit 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 of the Type:dy/dx+p(x)y=q(x)

Unit 11: Co-Ordinate Geometry

Cartesian System of Rectangular Co-Ordinates 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 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.

Unit 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, 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.

Unit 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.

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 of an event, Addition, and Multiplication Theorems of Probability, Baye’s Theorem, Probability Distribution of a Random Variate, Bernoulli Trials, and Binomial Distribution.