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Index

Chapter 1 - Relations and Functions

Chapter 2 - Inverse Trigonometric Functions

Chapter 3 - Matrices

Chapter 4 - Determinants

Chapter 5 - Continuity and Differentiability

Chapter 6 - Application of Derivatives

Chapter 7 - Integrals

Chapter 8 - Application of Integrals

Chapter 9 - Differential Equations

Chapter 10 - Vectors

Chapter 11 - Three Dimensional Geometry

Chapter 12 - Linear Programming

Chapter 13 - Probability

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All videos of Mathematics CUET Preparation for Commerce Exam

Chapter 1 - Relations and Functions

Fun Video: What are Functions?

06:26 min

Detailed Video: Basics of Relations & Functions

24:41 min

Detailed Video: Functions

18:31 min

Detailed Video: Types of Relations

22:47 min

Fun Video: Types of Functions (Injective, Surjective & Bijective)

17:15 min

Commutative & Associative Properties: Binary Operations

10:45 min

Examples: Types of Functions

11:56 min

Detailed Video: Types of Functions

23:31 min

Detailed Video: Binary Operations

26:26 min

Detailed Video: Equivalence Class

04:36 min

Types of Relations: Reflexive Symmetric Transitive & Equivalence

16:24 min

Invertible Functions

11:09 min

Theorems: Composition of Functions

08:43 min

Composition of Functions

07:07 min

Examples: Binary Operations

10:45 min

Equivalence Class

12:03 min

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Chapter 2 - Inverse Trigonometric Functions

Basic Concepts of Inverse Trigonometric Functions

06:54 min

Examples: Inverse Trigonometric Functions

11:05 min

Examples: Finding Principal Values

07:47 min

Chapter 3 - Matrices

What are Matrices?

03:03 min

Properties of Matrix Multiplication

06:22 min

Equality of Matrices

03:45 min

Properties of Transpose of the Matrices & Theorems related to Symmetric & Skew

12:43 min

Examples : Finding Inverse of 3x3 Matrices

13:13 min

Elementary Operations (Transformation) of a Matrix

05:29 min

Multiplication of a Matrix by a Scalar

03:34 min

Symmetric Matrices

06:48 min

Finding Inverse of Matrix using Elementary Operations

07:45 min

Skew Symmetric Matrices

05:16 min

Invertible Matrices

04:27 min

Addition of Matrices

04:11 min

Subtraction of Matrices

03:24 min

Transpose of a Matrix - Matrices

03:34 min

Identity Matrix

05:49 min

Properties of Matrix Addition

13:19 min

Chapter 4 - Determinants

How to Calculate the Adjoint of a matrix?

03:26 min

What is Determinant of a Matrix?

01:33 min

Theorems related to Adjoint of a Matrix and Inverse of Matrix

15:26 min

Minors and Cofactors : Example

03:28 min

Calculating Determinant for a 3x3 Matrix

05:03 min

What are Minors and Cofactors?

04:02 min

Finding Area of a Triangle using Determinants (includes example)

06:26 min

Examples : Based on Properties of Determinants

12:27 min

Examples : Based on Properties of Determinants

13:43 min

Introduction to Solution of System of Linear Equations using Inverse of a Matrix

09:36 min

Calculating Determinant for a 2x2 Matrix

03:20 min

Finding Adjoint of a 3x3 Matrix

03:52 min

What are Singular and Non Singular Matrices?

02:14 min

Finding Inverse of a Matrix using Adjoint (2x2 matrix)

03:44 min

Finding Inverse of a Matrix using Adjoint of 3x3 Matrix

05:01 min

Solving a system of Linear Equations Using Inverse of a Matrix Part 1

04:04 min

Solving a system of Linear Equations Using Inverse of a Matrix Part 2

04:16 min

Chapter 5 - Continuity and Differentiability

Video: Continuity of a Function

08:28 min

Derivatives of Composite Functions (Using the Chain Rule)

09:17 min

Second Order Derivatives

04:13 min

Differentiability of a Function

07:12 min

Examples: Derivatives of Functions in Parametric Form

14:09 min

Algebra of Continuous Functions

10:24 min

Examples: Exponential and Logarithmic Differentiation

12:18 min

Derivatives of Trigonometric Functions

16:42 min

Proof of theorem stating Differentiability implies Continuity

11:40 min

Observations Related to Logarithmic and Exponential Functions

01:55 min

Logarithmic and Exponential Functions

09:33 min

Chapter 6 - Application of Derivatives

Increasing and Decreasing Functions at a Point

05:32 min

Increasing and Decreasing Functions

07:32 min

Examples : Tangents and Normals

13:50 min

Maximum and Minimum Value of a Function in a Closed Interval

12:27 min

Approximations using Differentials

04:25 min

Examples : Approximations

08:17 min

Equations of Tangents and Normals using Differentiation

05:03 min

Examples : Absolute maxima and minima

13:15 min

Maxima and Minima of a Function

13:57 min

Finding maxima and minima Using First Derivative Test (with Example)

09:27 min

Examples: Rate of change of quantities

11:50 min

Chapter 7 - Integrals

Evaluation of Definite Integral

05:31 min

Evaluation of Definite Integrals using Substitution method

13:26 min

Proof: Integrals of some particular functions

10:06 min

Examples: Indefinite Integrals by inspection

10:52 min

Properties of Indefinite Integrals

20:20 min

Comparison between Differentiation and Integration

14:11 min

Fundamental Theorem of Calculus

08:03 min

More Examples : Integration by Substitution

10:28 min

Definite Integrals (area under a curve) (part III)

09:46 min

Integration as an Inverse Process of Differentiation

06:24 min

Integration by Parts - Integrals

10:12 min

Video: Integration by Partial Fractions

11:44 min

Integration using Trigonometric Identities

04:26 min

Integrals involving Exponential Functions

05:13 min

Integrals of Some More Types

10:33 min

Integration by Substitution (includes Examples)

10:06 min

Definite integrals (part II)

09:16 min

Chapter 8 - Application of Integrals

Finding Area of the Region bounded by a Curve and a Line

06:56 min

Introduction to Area Under the Curve

07:22 min

Finding Areas Under Simple Curves

06:19 min

Examples : Area bounded by a curve and a line

14:33 min

Example : Area under Simple Curves

06:43 min

Finding Area Between 2 Curves

06:55 min

Examples: Area Between 2 Curves

14:42 min

Chapter 9 - Differential Equations

Formation of a Differential Equation whose General Solution is Given

04:48 min

Introduction to Differential Equations (includes Order and Degree of a Differential Equation)

09:38 min

Differential Equations Representing a Family of Curves

07:11 min

Homogeneous Differential Equations and their Solution

07:04 min

Solving Differential Equations by Variables Separable Method

09:06 min

General solution and Particular Solution of a Differential Equation

04:54 min

Linear Differential Equations and their Solution using Integrating Factor

05:37 min

Examples : Particular solutions

10:32 min

Examples : Homogeneous Differential Equations and their Solution

11:10 min

Examples : Linear Differential Equations

12:26 min

Chapter 10 - Vectors

Fun Video: What are Vectors?

04:41 min

Addition of Vectors

09:30 min

Overview of Scalar and Vector Product of 2 Vectors

04:08 min

Examples: Vector Operations

11:58 min

Section Formula

06:30 min

Basic Concepts of Vectors Direction Cosines and Direction Ratios

19:14 min

Multiplication of a Vector by a Scalar Components of a Vector

12:22 min

Video: Types of Vectors

05:00 min

Scalar (or Dot) Product of 2 Vectors

06:02 min

Vector (or Cross) Product of 2 vectors

09:22 min

Properties of Scalar Product and Projection of a Vector on a Line

09:12 min

Properties of Cross Product

14:08 min

Examples: Vectors joining 2 Points

09:57 min

Chapter 11 - Three Dimensional Geometry

Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry

02:05 min

Example: Direction Cosines & Direction Ratios

10:24 min

Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point

10:48 min

Examples: Equation of plane Passing through the Intersection of 2 given Planes

08:38 min

Examples : Equation of a line

10:23 min

Examples : Equation of a line : Part 2

06:36 min

Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math

07:44 min

Examples: Angle between lines

07:43 min

Angle between 2 Lines - Three Dimensional Geometry, Class 12, Math

07:39 min

Shortest Distance between 2 Lines (Distance between 2 skew lines and distance between parallel lines)

07:31 min

Examples: Distance between lines

14:13 min

Chapter 12 - Linear Programming

Examples : Graphical method

14:08 min

Linear Programming Problem and its Mathematical Formulation, Graphical Method - Linear Programming, Class 12, Math

09:29 min

Transportation Problems(includes examples) - Linear Programming, Class 12, Math

12:38 min

Chapter 13 - Probability

Understanding Conditional Probability with an Example

12:29 min

Examples: Bayes' Theorem

14:53 min

What are Independent Events?

02:14 min

Examples: Independent Events

14:35 min

What are Random Variables?

05:32 min

Examples : Probability Distribution of a Random Variable

11:49 min

Examples : Mean of a Random Variable

05:21 min

Examples : Binomial Distribution

14:47 min

Introduction to Bernoulli Trials

05:02 min

Multiplication theorem of Probability- Probability

02:37 min

Probability Distribution of a Random Variable - Probability, Class 12, Math

05:19 min

Variance of Random Variable - Probability, Class 12, Math

06:44 min

Binomial Distribution - Probability, Class 12, Math

10:03 min

Mean of a Random Variable - Probability, Class 12, Math

03:16 min

What are Bernoulli Trials? - Probability, Class 12, Math

04:30 min

Bayes' Theorem - Probability, Class 12, Math

12:30 min

Intro to Conditional Probability

06:14 min

Conditional Probability : Properties

09:17 min

Mathematics CUET Preparation

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Video lectures for Mathematics CUET Preparation 2024 is part of Commerce exam preparation. The videos have been prepared according to the Commerce exam syllabus. The Video lectures, notes, tests & MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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