## Class 12 Maths Full Course by Arvind Sir

129 Users Enrolled

Class 12
,
Maths

Board: CBSE & State Boards
,
Language: Hinglish

Mode- Online

Contains- 168 Videos

Access Duration-
Till 31 Mar 2020

## WHAT WILL I LEARN?

# 100+ Video lecture covering entire syllabus Each topic with example exercise.

# Live doubts Q&A - Discussion forum.

#You will understand Class 12th Maths for Board & also very useful for JEE & JEE Mains & Advance.

All future updates will be Free.

## Course Description

Arvind Sir presents Class 12th Maths, which includes high-quality video lectures and extensive study material, keeping in mind the level of preparation needed by the students to score maximum marks in their examination.

# 100+ Video lecture covering entire syllabus Each topic with example exercise.# Live doubts Q&A - Discussion forum.

# Arvind Sir continuously preparing Video lecture and Study material which we are uploading on daily basics.

## Curriculum

Chapter 1 | Relations and Functions

- 1.1 Relations & Functions Introduction
- 1.2 Reflexive, Symmetric & Transitive Relations Equivalence relations
- 1.3, Maths Ex 1.1 Ch 1 Relations & Functions solutions (Q1-Q3)
- 1.4, Maths Ex 1.1 Ch 1 Relations & Functions solutions (Q4-Q11)
- 1.5 Relations & Functions exercise 1.1 Chap 1, Q12 to Q16 solutions.
- 1.6 Equivalence Classes, relations & functions.
- 1.7 One One (Injective), onto (surjective) , Bijective functions
- 1.8 Relation & functions EXERCISE 1.2 CLASS 12 Q3 TO 12 SOLUTIONS CBSE NCERT
- 1.9 Composition of functions, gof, fog.
- 1.10 Invertible functions Invertibility of functions
- 1.11 Relations & Functions Exercise 1.3 Class 12 Question 1 to 7 Solutions NCERT.
- 1.12 Relations & Functions Exercise 1.3 Class 12 Question 8 to 14 Solutions NCERT
- 1.13 Binary Operation, How to find Identity & Inverse
- 1.14 Relations & functions Exercise 1.4 Question 1 to 6 NCERT Solutions.
- 1.15 Relations & functions Exercise 1.4 Question 7 to 13 NCERT Solutions
- 1.16 Relations & functions Exercise Miscellaneous Q 1 to 4 Solutions
- 1.17 Relations and functions Exercise Miscellaneous Q 5 to 12 Solutions.
- 1.18 Exercise Miscellaneous Q13 Q18 Solutions

Chapter 2 | Inverse trigonometric functions

- 2.1. Inverse Trigonometric Functions
- 2.2, Inverse Trigonometric functions, Domain and Range
- 2.3 Inverse Trigonometric Functions exercise 2.1 NCERT Ex. 2.1
- 2.4 Inverse Trigonometric functions Exercise 2.2, NCERT EX. 2.2 Part-1
- 2.5 Inverse Trigonometric functions NCERT EX. 2.2 Part-2
- 2.6 NCERT EX. Misc Inverse Trigonometric functions
- 2.7 NCERT EX. Misc Inverse Trigonometric functions

Chapter 3 | Matrices

- 3.1 Matrices - Order and Type of Matrices
- 3.2 Matrices - Addition & Multiplicfation of matrices
- 3.3 Matrices - NCERT Ex. 3.2
- 3.4 Matrices - Transpose of a Matrix
- 3.5 Matrices - Symmetric and Skew Symmetric Matrix
- 3.6 Matrices - NCERT Ex. 3.3 Questions
- 3.7, Matrices - Matrix Elementary operations
- 3.8 Matrices - Inverse of a Matrix
- 3.9 Matrices - Finding Inverse by Elementary operations
- 3.10 Finding inverse 3x3 Matrix by elementary operations
- 3.11 Finding Inverse by Column Elementary Operations
- 3.12 NCERT Miscellaneous Exercise Misc. EX.

Chapter 4 | Determinants

- 4.1 Introduction of Determinants and Meaning
- 4.2 Properties of a Determinants
- 4.3 Determinants important Questions & NCERT Ex 4.2
- 4.4 Determinants NCERT Ex 4.2 Continued
- 4.5 Determinants NCERT Ex. 4.2 and 4.3
- 4.6 Minor and Cofactors
- 4.7 Adjoint and Inverse of a Matrix
- 4.8 Determinants NCERT Ex. 4.5
- 4.9 Solving Equations by Matrix Method

Chapter 5 | Continuity and Differentiability

- 5.1 Understanding Continuity Part 1
- 5.2 Continuity Part 2
- 5.3 Continuity Part 3
- 5.4 Continuity Questions
- 5.5 Differentiability
- 5.6 NCERT Ex. 7.3
- 5.7 Implicit and Inverse Functions
- 5.8 exponential and Log functions
- 5.9 NCERT Ex. 5.5
- 5.10 Parametric functions NCERT Ex. 5.6
- 5.11 NCERT Ex. 5.7
- 5.12 Mean Value Theorem (MVT) and Questions
- 5.13 NCERT Miscellaneous Ex. Part 1
- 5.14 NCERT Miscellaneous Ex. Part 2

Chapter 6 | Applications and Derivatives

- 6.1 Tangent and Normals
- 6.2 Questions on tangents and Normals & Approximations
- 6.3 Rate Measure
- 6.4 Rate Measure & Increasing Decreasing functions
- 6.5 Maxima and Minima
- 6.6 Questions on Maxima and Minima

Chapter 7 | Integrals

- 7.1 Indefinite Integration : Method of Inspection
- 7.2 Indefinite Integration : Method of Substitution
- 7.3 Indefinite Integration : NCERT Ex. 7.2 Method of Substitution
- 7.4 Indefinite Integration : NCERT Ex. 7.3
- 7.5 Indefinite Integration : Special type of Integration
- 7.6 Indefinite Integration : NCERT Ex. 7.4
- 7.7 Indefinite Integration : Integration by Partial Fractions ex. 7.4
- 7.8 Indefinite Integration : NCERT Ex. 7.5
- 7.9 Indefinite Integration : Integration By Parts
- 7.10 Indefinite Integration : Special forms of Indefinite Integration
- 7.11 Indefinite Integration : NCERT Important Miscellaneous Questions
- 7.12 Definite Integration : Definite Integration as a limit of a Sum
- 7.13 Definite Integration : Fundamental theorem of calculus
- 7.14 Definite Integration : Definite Integration By Substitution- NCERT Ex. 7.10
- 7.15 Definite Integration : Important Properties of Definite Integration
- 7.16 Definite Integration : NCERT Ex. 7.11
- 7.17 Definite Integration : Miscellaneous Exercise
- 7.1 Indefinite Integration : Ex. 7.1 and 7.2 (New Updated Video)
- 7.2 Indefinite Integration : Ex. 7.3 and 7.4 (New Updated Video)
- 7.3 Indefinite Integration : Partial Fraction Ex 7.5 (New Updated Video)
- 7.4 Indefinite Integration : Integration By Parts Ex 7.6 (New Updated Video)
- 7.5 Indefinite Integration : Ex. 7.7 and 7.9 (New Updated Video)
- 7.6 Indefinite Integration Ex. 7.9 and 7.10 (New Updated Video)
- 7.1 Definite Integration Ex.7.8 definite Integration limit of a sum (New Updated Video)
- 7.2 Definite Integration Ex.7.0 and 7.10 (New Updated Video)
- 7.3 Definite Integration Propertries of Definite Integration Ex. 7.11 (New Updated Video)
- 7.4 Definite Integration Misc Ex. ( New updated Video)

Chapter 8 | Application of Integrals

- 8.1 Finding Area
- 8.2 Area between the Curves, NCERT Ex. 8.1 and Ex. 8.2
- 8.3 NCERT Miscellaneous Exercise

Chapter 9 | Differential Equations

- 9.1 Order and Degree of Differential Equations
- 9.2 General and Particular Solutions of Differential Equations
- 9.3 Variable Separable- Methods of Solving Differential Equations
- 9.4 Questions of Differential Equations
- 9.5 Linear Differential Equations of First order and First Degree
- 9.6 questions on Differential Equation - NCERT Miscellaneous Exercise
- 9.1 Order, Degree & Linear non Linear of Differential Eq. (New Updated Video)
- 9.2 Ex. 9.1 9.2 9.3. Differential equations (New Updated Video)
- 9.3 Variable Separable (New Updated Video)
- 9.4 Homogeneous Differential Equation (New Updated Video)
- 9.5 Linear Differential Equation (New Updated Video)
- 9.6 Linear Differential Equations Questions (New Updated Video)
- 9.7 Questions (New Updated Video)

Chapter 10 | Vector Algebra

- 10.1 Understanding Direction Cosines and Direction Ratios
- 10.2 Components of Vectors
- 10.3 Scalar or dot Product of Two vectors
- 10.4 Vector or Cross Product of Two vectors
- 10.5 Questions
- 10.6 Questions NCERT Miscellaneous
- 10.1 Vectors Introduction - Understanding Vectors (New Updated Video)
- 10.2 Vectors Questions Ex. 10.2 (New Updated Video)
- 10.3 Scalar Dot Product of Two vectors (New Updated Video)
- 10.4 Vector Cross product of Two vectors (New Updated Video)
- 10.5 Miscellaneous EX. Vectors (New Updated Video)

Chapter 11 | 3D Geometry

- 11.1 Direction Cosine and Direction ratios
- 11.2 Equation of a Straight Line in a Space
- 11.3 Finding Intersection of two Straight Lines in a space
- 11.4 Shortest Distance between Two Skew Lines
- 11.5 Line in 3D Questions
- 11.6 Plane in 3D
- 11.7 Plane in 3D Continued
- 11.8 Plane Passing Through Three Non-Collinear points
- 11.9 Plane Intercept form of a Plane
- 11.10 Intersection of Two Planes
- 11.11 Angle between a Line and a Plane
- 11.12 Questions on 3D Geometry
- 11.1 3D Geometry Direction Cosines and direction ratios (New Updated Video) Preview
- 11.2 Line Eq of Line passing through a point and paralle to given direction (New Updated Video)
- 11.3 Eq of Line passing through two points (New Updated Video)
- 11.4 Angle between Two Lines (New Updated Video)
- 11.5 Shortest Distance between Two Lines (New Updated Video)
- 11.6 Plane (New Updated Video)
- 11.7 Eq of plane passing thru intersection of two Planes (New Updated Video)
- 11.8 Coplanarity of Two Lines (New Updated Video)
- 11.9 Angle between Two Planes (New Updated Video)
- 11.10 Distance of a Point from a Plane (New Updated Video)
- 11.11 Angle between a Line and a Plane (New Updated Video)
- 11.12 Impotant Questions 3D (New Updated Video)

Chapter 12 | Linear Programming

- 12.1 LPP meaning and Use
- 12.2 Questions
- 12.3 Some More Questions

Chapter 13 | Probability

- 13.1 Basic Questions on Probability
- 13.2 Multiplication Theorem of Probability
- 13.3 Independent Events
- 13.4 Some More facts for Independent Events
- 13.5 Questions
- 13.6 Law of Total Probability
- 13.7 Bayes' Theorem
- 13.8 Random Variables
- 13.9 Mean, Variance and standard Deviation
- 13.10 Questions
- 13.11 Bernoulli trials and Binomial distributions
- 13.12 Questions
- 13.13 Miscellaneous Questions
- 13.14 Questions
- 13.1 Conditional Probability (New Updated Video) Preview
- 13.2 Multiplication Theorem of Probability (New Updated Video)
- 13.3 Independent Events (New Updated Video)
- 13.4 Bayes Theorem and law of Total Probability (New Updated Video)
- 13.5 Random Variable and Probability distribution (New Updated Video)
- 13.6 Mean and Variance of Random Variable (New Updated Video)
- 13.7 Bernoulli Trials and Binomial Distribution (New Updated Video)

## Students Can Buy

## About Arvind Sir

### Arvind Sir

Physics & Maths | Class 11th & 12th | 15+ Years Experience | Arvind Sir is the Director of Arvind Academy. Arvind Sir has dedicated his life to help students achieve their goals in exams by providing them quality education.

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Includes 18 % GSTMode- Online

Contains- 168 Videos

Access Duration- Till 31 Mar 2020