Mathematics JEE Mains and Advance Video Tutorial

Master JEE Mathematics With Comprehensive Video Tutorials

Excel in JEE Mains and Advanced Mathematics with our structured video lessons covering all topics from the syllabus. Each concept is explained by expert educators with problem-solving techniques, shortcuts, and practice questions to help you crack the toughest problems.

Logarithm

  • Definition and properties of logarithm
  • Fundamental logarithmic identities
  • Change of base formula
  • Logarithmic inequalities
  • Characteristic and mantissa
  • Logarithmic equations
  • Applications in calculus
  • Logarithm with complex numbers
  • Advanced problems for JEE Advanced
Logarithm Basics

Logarithm – Complete Concept

22:50

Master all fundamental concepts of logarithm including definition, properties and identities with JEE problems.

Logarithm Equations

Logarithmic Equations & Inequalities

13:53

Detailed explanation of solving logarithmic equations and inequalities with JEE level problems.

Advanced Logarithm

Advanced Logarithm Problems

36:20

Challenging logarithm problems for JEE Advanced including complex numbers and calculus applications.

1. Sets, Relations and Functions

Sets

  • Sets and their representations
  • Types of sets (Empty, Finite, Infinite, Equal, Equivalent)
  • Subsets, Power set
  • Universal set
  • Venn diagrams
  • Operations on sets (Union, Intersection, Difference, Complement)
  • Laws of algebra of sets
  • De Morgan’s Laws
  • Cardinality of sets
Sets Basics

Sets – Complete Concept

25:30

Master all fundamental concepts of sets including types, operations, and Venn diagrams with practice problems.

De Morgan's Laws

De Morgan’s Laws Explained

18:45

Detailed explanation of De Morgan’s Laws with visual proofs and application problems.

Relations

  • Ordered pairs
  • Cartesian product of sets
  • Relations and their types
  • Domain and range of relations
  • Types of relations (Empty, Universal, Identity, Inverse)
  • Equivalence relations
  • Partial order relations
  • Number of relations from one set to another
Relations Basics

Relations – Types and Properties

32:15

Comprehensive guide to different types of relations with examples and JEE practice questions.

Functions

  • Definition and notation
  • Domain, co-domain and range
  • Types of functions (One-one, Many-one, Onto, Into)
  • Composition of functions
  • Inverse functions
  • Binary operations
  • Real-valued functions
  • Even and odd functions
  • Periodic functions
Functions Basics

Functions – Complete Concept

28:40

Master all types of functions with graphical representations and JEE level problems.

Inverse Functions

Inverse Functions Explained

22:10

Detailed explanation of inverse functions with graphical interpretation and JEE problems.

2. Complex Numbers and Quadratic Equations

Complex Numbers

  • Definition and algebraic properties
  • Argand plane and geometric representation
  • Polar representation
  • Euler’s form
  • De Moivre’s theorem
  • Cube roots of unity
  • nth roots of unity
  • Logarithm of a complex number
Complex Numbers

Complex Numbers – Basics

35:20

Introduction to complex numbers with algebraic operations and geometric interpretation.

De Moivre's Theorem

De Moivre’s Theorem

28:45

Detailed explanation of De Moivre’s Theorem with applications in finding roots of complex numbers.

Quadratic Equations

  • Standard form
  • Nature of roots
  • Relation between roots and coefficients
  • Formation of quadratic equations
  • Symmetric functions of roots
  • Common roots
  • Quadratic expressions and their graphs
  • Maximum and minimum values
  • Location of roots
Quadratic Equations

Quadratic Equations – Complete Guide

42:15

Master all concepts of quadratic equations including nature of roots and location of roots.

3. Matrices and Determinants

Matrices

  • Types of matrices (Row, Column, Square, Diagonal, Scalar, Identity)
  • Equality of matrices
  • Algebra of matrices
  • Transpose of a matrix
  • Symmetric and skew-symmetric matrices
  • Elementary transformations
  • Rank of a matrix
  • Inverse of a matrix
  • Solution of system of linear equations
Matrices Basics

Matrices – Types and Operations

38:20

Comprehensive guide to matrix algebra with all types of matrices and operations.

Determinants

  • Properties of determinants
  • Minors and cofactors
  • Expansion of determinants
  • Area of triangle using determinants
  • Adjoint and inverse of matrix
  • Cramer’s rule
  • Consistency of linear equations
  • Homogeneous system of equations
Determinants

Determinants – Properties and Applications

45:10

Master all properties of determinants with applications in solving linear equations.