Course Content

Introduction

Chapter 1: Relations and Functions

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Part 1: Types of relation | Ex 1.1 introduction

Part 2: Equivalence Class | Ex 1.1 introduction

Part 3: Exercise 1.1 solutions

Part 4: Ex 1.1 solutions

Part 5: Types of functions | Ex 1.2 introduction

Part 6: Exercise 1.2 solution

Part 7: exercise 1.2 solution

Part 8: Composition of functions and Invertible functions| Ex 1.3 introduction

Part 9: Exercise 1.3 solution

Part 10 : Exercise 1.3 solution | Binary Operations| Exercise 1.4 introduction

Part 11 : Binary Operations| Ex 1.4 solutions

Part 12: Exercise 1.4 solution| Binary Operations

Chapter 2: Inverse Trigonometric Functions

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Domain and Range of Inverse Trigonometric Functions| Ex 2.1 introduction

Exercise 2.1 introduction | properties of ITF

Exersise 2.1 solutions

Exercise 2.2 introduction| properties of inverse trigonometric function

Exercise 2.2 solutions

Chapter 3: Matrices

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Exercise 3.1 introduction | Order, Types of matrices

Exercise 3.1 solutions

Operations on matrices | Exercise 3.2 introduction | Matrix addition and multiplication

Exercise 3.2 solutions | Part 1

Exercise 3.2 | Part 2

Exercise 3.3 introduction and solutions

Chapter 4: Determinants

Chapter 5: Continuity and Differentiability

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Concept of Continuity| Ex 5.1 introduction | Part 1

Concept of continuity | Ex 5.1 introduction| part 2

Concept of continuity| Ex 5.1 solutions

Concept of continuity| Ex 5.1 solutions| part 2

Concept of continuity | Ex 5.1 solutions | Part 3

Concept of Differentiability| Ex 5.2 introduction

Concept of differentiability| Ex 5.2 solutions

Derivatives of Implicit and Inverse trigonometric functions| Ex 5.3 Solutions

Derivative of exponential and logarithmic functions| Exercise 5.4 solutions

Exercise 5.5 introduction and solutions | part 1 | Logarithmic Differentiation

Exercise 5.5 introduction and solutions | part 2 | Logarithmic Differentiation

Exercise 5.5 Solution| Part3 |Logarithmic differentiation

Derivatives of the function in parametric form | Exercise 5.6 introduction and solutions

Second order derivatives | Exercise 5.7 Solutions

One shot video | common questions

Chapter 6: Applications of Derivatives

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Rate of change of quantities | 6.1 introduction

Exercise 6.1 solutions

Incresing and decreasing functions | Ex 6.2 intro

Exercise 6.2 solutions

Maxima and minima | 6.5 introduction

Maxima and minima | 6.5 introduction part 2

Chapter 7: Integrals

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Integrals | Exercise 7.1 Introduction and solutions | Method of inspection

Integrals Ex 7.2 introduction | Integration by substitutions

Integration by substitutions | Exercise 7.2 solutions

Integration using trigonometric identities | Exercise 7.3 solutions

Integration of some particular functions | Exercise 7.4 introduction

Integration of some particular functions | Exercise 7.4 solutions |

Integration by partial fraction | Exercise 7.5 introduction

Exercise 7.5 solutions | Partial fractions

Integration by parts | Exercise 7.6 introduction

Integration by parts | Exercise 7.6 solutions

Exercise 7.7 introduction and Solutions

Fundamental theorem of calculus | Exercise 7.9 introduction and solutions

Evaluation of definite Integrals by substitutions | Exercise 7.10 solutions

Properties of definite integrals | 7.11 Introduction

Exercise 7.11 solutions

Chapter 8: Applications of Integrals

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Applications of Integrals | Exercise 8.1 introduction

Exercise 8.1 solutions

One shot video l Common questions

Chapter 9: Differential Equations

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Order and degree of a Differential Equation | Ex 9.1 Introduction

Solution of differential equations

Chapter 10: Vector Algebra

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Exercise 10.1 introduction and solutions

Vector addition | Exercise 10.2 introduction

Section formula| Exercise 10.2 solutions

Dot or Scalar product | Exercise 10.3 Introduction

Exercise 10.3 solutions

Exercise 10.3 solution Part 2

Cross or Vector product| Exercise 10.4 introduction

Exercise 10.4 Solutions

Chapter 11: Three dimensional Geometry

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Direction cosines and Direction ratios of a line

Chapter 12: Linear Programming

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Solution of Linear programming problems | One questions all doubt clear

Chapter 13: Probability

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Conditional probability | Exercise 13.1 intro

Exercise 13.1 Solutions | Conditional probability

Multiplication theorem of Probability | Ex 13.2 introduction

Exercise 13.2 Solutions

Bayes theorem | important questions

LACHIT – MATHEMATICS

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