Course PDF

Relation & Functions.pdf

Relation & Functions.pdf

Inverse Trigonometry.pdf

Matrices.pdf

Determinants.pdf

Continuity & Differentiability.pdf

Application of Derivatives.pdf

Integrals.pdf

Differential equations.pdf

vectors.pdf

3D Geometry.pdf

Linear Programming.pdf

Probability.pdf

Relation & Function

Introduction to Relation & Functions

Examples (2 Parts) : Cartesian Products; Domain & Range

Part 1- Cartesian Product

Part 2- Domain & Range

Types of Relation : (5parts)- Basic; Reflexive; Symmetric; Transitive; Equivalence

Part 1- Basic Relations

Part 2- Reflexive Relations

Part 3- Symmetric Relations

Part 4- Transitive Relations

Part 5- Equivalence Relations

Problems on Equivalence Relation (2Parts)

Part 1- Problem On Equivalence Relation

Part 2- Problem On equivalence Relation

Applied Problem on Relations (main)

Applied Problem on Relations (main)

Functions

Introduction to Functions

Kinds Of Function

Composite Function

Inverse of a Function

Inverse Of A Function

Problem 1- Inverse Of A Function

Problem 2-Inverse of a Function

Binary Operations; Identity Element & Composite Table

Binary Operations

Identity Element & Composite Table

Objective Type Practice Questions

Inverse Trigonometry

Introduction to Inverse Trigonometry

Properties of Inverse Trigonometric Functions

Problem On Inverse Trigonometric Function

Substitution Formula

Substitution Formula

Question On Substitution Formula

Matrices

Introduction to Matrices

Order of a Matrix

Types of matrices

Data Representation in a Matrix

Equality of Matrices

Singular & Non Singular Matrix

Operations on Matrices (4 parts) : Addition; Subtraction; Scalar Multiplication; Matrix Multiplication

Addition of Matrices

Subtraction of Matrices

Combined Questions : Addition & Subtraction Of Matrices

Scalar Multiplication

Multiplication of Two Matrices

Symmetric & Skew-Symmetric Matrix

Symmetric Matrix

Skew-Symmetric Matrix

Theorem On Symmetric & Skew-Symmetric Matrix

Problem on Symmetric & Skew-Symmetric Matrix

Inverse of a Matrix: Elementary Row & Column Operations ; Invertible Matrices; Finding Inverse

Transpose of a Matrix

Inverse of a Matrix: Elementary Row & Column Transformation

Finding Inverse of a Matrix

Question 1 on Inverse of a Matrix (3x3 order)

Question 2 on Inverse of a Matrix

Determinants

Introduction to Determinants

Properties Of Determinants

Example on Properties of Determinants

Application of Determinants

Applications Of Determinants Part 2

Solving Linear Equation- Concept & Example

Examples on how to solve Linear Equations using Matrix

Examples On Adjoint Of A Matrix

Inverse of a Matrix

Continuity & Differentiability

Introduction to Continuity And Differentiability

Algebra of Continuous Functions

Problem 1 on Continuity

Problem 2 on Continuity

Advance Problem On Continuity

Differentiability of a Function

Differentiability problem question 1

Advance Problem On Differentiability

Question on Rules

Chain Rule

Derivatives of Inverse Trigonometric Functions

Problems on Derivatives

Differentiation

Basic Rules Of Differentiation

Logarithmic Differentiation

Parametric Functions

Higher Order Derivative

Problems on Higher Order Derivative

Problem 2 On Higher Order Derivative

Problem 3 on Higher Order Derivative

Problem 4 on Higher Order Derivative

Mean Value Theorem

Application of Derivatives Mean value theorem.mp4

Applications of Derivatives

Introduction to Application of Derivatives

Rate Measure

Errors & Approximations

Increasing & Decreasing Functions

Increasing And Decreasing Functions

Example 1 On The Steps To Check Whether Then Function Is An Increasing Or Decreasing Function

Example 2 On The Steps To Check Whether Then Function Is An Increasing Or Decreasing Function

Example 3 On The Steps To Check Whether Then Function Is An Increasing Or Decreasing Function

Example 4 On The Steps To Check Whether Then Function Is An Increasing Or Decreasing Function

Tangents & Normals

Introduction to Tangents & Normal

Concepts Of Tangents & Normal

Second Application Of Derviatives- Tangents & Normal

Question 1 on Tangents & Normal

Question 2 on Tangents & Normal

Question 3 on Tangents & Normal

Advance Problem on Tangents & Normal

Maxima & Minima

Introduction to Maxima and Minima

Algorith to find Maxima & Minima

Applied Problems On Maxima And Minima (Introduction)

Applied Problems On Maxima And Minima (Part 1)

Applied Problems On Maxima And Minima (Part 2)

Applied Problems On Maxima And Minima (Part 3)

Applied Problems On Maxima And Minima (Part 4)

Applied Problems On Maxima & Minima (Part 5)

Integrals

Introduction to Indefinite integrals

Physical Interpretation Of Integrals

Methods Of Integration

Integration By Parts

Integration By Partial Fraction

Special Integrals

Integrals Of The Form P(X) + Q

Integral Of The Form P(X) Where Degree Of Numerator Is More Or Equal To Denominator

Integrals Of The Form E(X)

Some Important Integral

definite

Introduction To Definite Integral

Questions On Definite Integrals

Questions On Definite Integrals By Substitution

Properties of Definite Integrals

Questions On Property Of Definite Integrals

More Questions On Property Of Definite Integrals

More Properties Of Definite Integral

Question On Definite Integral

Integral as a limit of sum

Question On Integral as a Limit of Sum

Application of the Integrals

Introduction to Application of Integrals

Finding area using vertical strip

Finding Area using Horizontal Strip

Area between Two Curves

question 1

Question on Area between Curves part 2

Question on Area Between Two Curves (3)

Differential Equations

Introduction to Differential Equation

Differential Equation of First Degree & First Order (Finding Solution to Differential equation)

Differential Equation Of First Degree & First Order

Order & Degree

Examples On Order & Degree

Differential Equation in Variable Separable Form

Equations In Variable Separable Form (Part 1)

Equations In Variable Separable Form (Part 2)

Homogeneous Differential Equation (#)

Homogeneous Differential Equation (Part 1)

Homogeneous Differential Equation (Part 2)

Homogeneous Differential Equation (Part 3)

Question 1 On Homogeneous Differential Equation

Question 2 On Homogeneous Differential Equation

Question 3 On Homogeneous Differential Equation

Question/Example on Differential equations (Main)

Vectors

Introduction to Vectors & Algebra of Vectors

Direction Ratios & Direction Cosines

Problems On Direction Ratios & Direction Cosines

Position Vector, Modules Of Vector & Unit Vector

Cross Product Or Vector Product

Scalar Or Dot Product Of Vectors

Question On Scalar & Dot Product

3-D Geometry

Introduction To 3-D Geometry

Direction Ratios And Direction Cosines

Equation of a Straight Line in Space (Passing through two points)

Straight Line In Space (Part 1)

Straight Line In Space (Part 2)

Examples On Straight Line In Space

Perpendicular Distance Of A Line From A Point

Finding Angle Between Two Lines

Shortest Distance Between Two Skew Lines

Advance Problems on Straight Line in Space

Equation of a Plane

Introduction to a Plane

Equation Of A Plane Passing Through A Point(X,Y,Z) And Direction Ratios Of It's Normal Are A,B And C

Equation Of Plane Passing Through A Given Point And Normal To A Given Vector-1.m4v

Equation of a Plane passing through Three given Points (Co-planar Points)

Intercept form of a Plane.mp4

Equation Of Plane Passing Through The Intersection Of Two Plane

Examples Of Equation Of A Plane

Distance Between Two Parallel Plane

Angle Between Two Planes

Special Problem On Equations Of Plane

Line & a Plane and Angle between them

Perpendicular Distance Of A Point From A Plane

Intersection of a Line & Plane.mp4

Image Of Point In A Plane

Condition For Co-planarity Of Two Lines

Example For Calculating Perpendicular Distance Of A Line From A Point

Problem On Line And Plane (Part1)

Problem On Line And Plane (Part 2)

Linear Programming

Introduction to Linear Programming

Problem On Linear Programming

Problems on Linear programming: Diet, Manufacturing (graphical), Transportation

Problem on Diet

Problem on Manufacturing (Graphical Representation)

Problem on Transportation

Probability

Introduction to Probability

Problem On Conditional Probability

Independent Event

Baye's Theorem

Problems On Baye's Theorem

Probability Distribution Table

Mean, Variance And Standard Deviation

Binomial Distribution

Problem On Binomial Distribution