Mathematics in the JEE Main (Joint Entrance Examination Main) and JEE Advanced is a significant and challenging component of this entrance test for various undergraduate engineering and architecture courses. The mathematics section is designed to assess a candidate's understanding and application of mathematical concepts at the higher secondary level (11th and 12th grade)

2. Practice Regularly: Solve a variety of problems to become familiar with different question patterns.

3. Time Management: Develop strategies to solve questions more efficiently.

4. Previous Years' Papers: Solve them to understand the exam pattern and frequently asked questions.

5. Mock Tests: Regularly take mock tests to improve speed and accuracy.

Mathematics in JEE Main requires consistent practice, clear understanding of concepts, and good problem-solving skills. It's advisable to study from NCERT textbooks for the basics and then move on to higher-level reference books and coaching material for advanced problems and practice.

- Introduction to Sets
- Methods of representing a set
- Types of sets
- Subset
- Proper Subset
- Subset of set of the real numbers
- Interval as subset of R Real Number
- Power Set
- Universal Set
- Venn diagram
- Operation on Sets
- Cardinality of Sets
- Set Theory Symbols

- Cartesian Products
- What is relations?
- What is Function
- Domain of Function
- Range of Function
- Identity Function
- Constant Function
- Linear Function
- Modules Function
- Greatest Integer Function
- Polynomial Function
- Algebra of Real Function
- Type Of Relations
- Type Of Functions
- Composition of Functions
- Invertible Function
- Binary Operations

- Relations and functions Worksheets
- Relations and Functions Class 11 MCQ
- Class 12 Relation and Functions Extra Questions
- JEE Main and Advanced questions on relations and functions

- What is complex numbers
- Properties Of complex Numbers
- Conjugate of Complex Numbers
- Modulus of complex numbers
- Argand Plane
- Polar Representation of the complex number
- Rotation of Complex Number
- What is the significance of Complex Numbers
- Euler's formula and De moivre's theorem
- Cube Root of Unity
- Complex Roots of quadratic equations

- What are inequalities
- Things which changes the direction of the inequality
- Linear Inequation in One Variable
- Linear Inequation in Two Variable
- Steps to solve the inequalities in one variable
- Steps to solve the inequality of the another form
- Quadratic Inequation
- Steps to solve Quadratic or polynomial inequalities
- Cubic Inequation
- Steps to solve Cubic inequalities
- Absolute value equation
- Absolute value Inequation
- Graphical Solution of Linear inequalities in Two Variable

- What is factorial
- Fundamental Principle of counting
- Permutation<
- Restricted Permutations
- Another Theorem of Permutation
- What is combination
- Combination Formula
- Properties of Combination Formula

- Binomial Theorem
- Important conclusion from Binomial Theorem
- General Term in Binomial Expansion
- Middle Term in Binomial Expansion

- What is Matrix
- Types of Matrices
- Equality of Matrices
- Addition (and Subtraction) of Matrices
- Properties of Addition
- Identity Matrix
- Scalar of Multiplication/Division Matrix
- Multiplication Of Matrix
- Transpose of Matrix
- Why study the Matrix
- How to Solve Matrix Problem
- Solved Examples

- Extra questions on Algebra of Matrices for Class 12
- Matrices Worksheet-1
- Matrices Worksheet-2
- Matrices Worksheet-3
- Matrices Worksheet-4

- What is Determinants
- Properties of Determinants
- Minor and Cofactors of Determinants
- Adjoint and Inverse of Matrix

- What is Probability
- Addition Theorems on Probability
- What is Conditional Probability
- Total Probability Law
- Bayes Formula

- Trigonometry
- Trigonometric functions
- Domain,Range And Graph of trigonometric functions
- Trigonometric Identities
- Trigonometric equations
- Values of Sin 15, cos 15 ,tan 15 ,sin 75, cos 75 ,tan 75
- values of Sin 18, cos 18, tan 18, sin 36,cos 36, Sin 54, cos 72
- Inverse Trigonometric Functions
- Properties of Inverse Trigonometric Functions

- Trigonometric Equations Questions
- Trignometric functions Questions
- trigonometric functions Class 11 mcq
- Inverse Trigonometric Functions Extra Questions for Class 12
- Inverse Trigonometric Functions Jee Main and Advanced Questions

- What is Continuity
- Differentiability
- Derivatives of Inverse Trigonometric Functions
- Exponential Functions
- Logarithm Functions
- Rolle's Theorem
- Mean Value Theorem

- Rate of Change
- Increasing and Decreasing Functions
- Tangents and Normals
- Approximations of Functions
- Maxima and Minima of Functions

- Integral Calculas
- Integration By Substitution
- Integration Using Trigonometric Identities
- Integration Using Partial Fractions
- Integration of Particular Functions
- Integration By Parts
- Definite Integrals

- Differential equations
- General and Particular Solutions of Differential equations
- Method of solving for Differential equations

- What is vector
- Difference between Scalar and Vector
- Type Of Vectors
- Addition Of vector
- Subtraction of vectors
- Scalar multiplication of vectors
- Components of the vector
- Multiplication of two vectors
- Dot product of vectors
- Cross product of vectors
- Triple product
- How to solve vector algebra problems