E-School For 12th Non-Medical Class

Subject :Math

Lession :Maths Part-1

Chapter-1. Relations and Functions

Lecture 1 : Types of relations

Lecture 2 : Types of functions

Lecture 3 : Composition of function and invertible function

Lecture 4 : Binary operation

Lecture 5 : Revision

Chapter-2. Inverse Trigonometric Functions

Lecture 1 : Definition; Range; Domain & Graphs of inverse trigonometric functions

Lecture 2 : Properties of inverse trigonometric functions

Lecture 3 : Revision

Chapter-3. Matrices

Lecture 1 : Matrix; Order of Matrix & Types of Matrices

Lecture 2 : Operations on matrices: addition & Multiplication of matrices

Lecture 3 : Transpose of matrices & Symmetric and skew-symmetric matrices

Lecture 4 : Elementary operation of matrix; Invertible matrix & Inverse of matrix by elementary operation

Lecture 5 : Revision

Chapter-4. Determinants

Lecture 1 : Determinant

Lecture 2 : Properties of Determinant

Lecture 3 : Area of a Triangle

Lecture 4 : Minor and co factors

Lecture 5 : Adjoint and inverse of a matrix

Lecture 6 : Application of matrices and determinants: solution of linear equation using inverse of a matrix

Lecture 7 : Revision

Chapter-5. Continuity and Differentiability

Lecture 1 : Continuity & Differentiability of a Function; Concept of Infinity & Algebra of Continuous Functions

Lecture 2 : Differentiability of a function

Lecture 3 : Derivatives of Composite, Implicit and Inverse Trigonometric Functions

Lecture 4 : Exponential and Logarithmic Functions & Derivatives of Exponential and Logarithmic Functions

Lecture 5 : Derivatives of function in parametric form

Lecture 6 : Second Order Derivative & Mean Value Theorem

Lecture 7 : Revision