## Welcome to math videos for class 12

# Do you need help with class 12 maths. I might me able to help you! This page offers a number of videos on class 12 math topics . The topics covered are

# Inverse Trigonometric functions

Principal values

Domain and Range

Evaluating inverse trig functions

# Differentiation

Continuity of functions

Differentiation using first principles

Differentiating composite functions

Differentiation of inverse trigonometric, logarithmic, parametric function

Second Order Derivatives

Lagrange's and Rolle's Mean Value Theorem

Indeterminate forms

# Application of derivatives

Concept of Tangent and Normal

Derivative as a rate measure

Approximations

Maxima and Minima

# Integration

Integration by substitution method

Integration by parts

Special integrals of different types

Partial Fractions

Integral as the limit of a sum

Area between curves

# Matrices and Determinants

Problems involving properties of determinants

Inverse of a matrix using elementary operations

System of equations

# 3 D Geometry

Cartesian and Vector form of a line

Angle between 2 lines

Shortest distance between 2 lines

Equation of planes : Cartesian and Vector form

Distance from a point to a plane

Angle between 2 planes

# Probability

Basic concepts of probability, conditional probability

Probability distribution: Binomial Theorem

# Applications of Calculus in Commerce and Economics

Break even points, Marginal Cost, Marginal revenue

Converting marginal cost to total cost and vice versa

Calculating revenue function and using the derivative tests

# Regression Analysis

Lines of regression, coefficients of regression, calculating dependent variables.

#

## Domain and Range of Inverse Trigonometric Functions

This video teaches you how to understand the domain and range of inverse trigonometric functions by understanding the graphs. It is very useful to know the domain and range of inverse trig functions while solving problems.

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## Principal values of Inverse Trigonometric functions

You will learn simple methods to calculate the principal values of inverse trigonometric functions using certain formulae. Useful for Class 12 maths

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## More about Inverse Trigonometric functions

Here, you will learn more identities and properties of Inverse Trigonometric Functions . You will learn applications of these formulae in problems.

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## Continuity of Functions

Here, you will lear what is continuity, left hand limit and right hand limit for continuity and how to apply these in problems.An easy topic but extremely important.

Tons of information right at your fingertips.

## Differentiation using first principles

Here, you are introduced to differentiation and how to calculate the derivative of a function using the definition. Problems done using this method are lengthy but it gives you greater insight on how to calculate the derivative

A better understanding of mathematics starts now!

## Derivatives of Composite functions

A beautiful concept of calculating the derivative of functions using Chain Rule. Extremely useful in solving problems.Don't miss out!

## Derivatives of Inverse Trigonometric Functions

Here, I will show you how to calculate derivatives of Inverse Trigonometric Functions..For more about inverse trigonometric functions, you can refer to my post at the beginning of the page.Download this video today!

## Logarithmic Differentiation

How do you differentiate complicated functions?An interesting method to do so would by by taking log of both sides and then differentiating.Watch this video now to find out!

## Parametric Functions/Second order derivatives

Here, you will learn what are parametric functions and an incredibly simple way to calculate derivatives of parametric functions. You will also be introduced to second order derivatives and how to prove identities involving second order derivatives. Call or email today for a free consultation.

## More about Second Order Derivatives

You will learn to work out more problems on Second Order Derivatives. The previous post dealt with second order derivatives of parametric functions. This video deals exclusively with second order derivatives of functions in 2 variables. This is an important topic for Class XII board exams. Practice makes you perfect. Keep practicing problems as you watch these videos.Watch today!

## Differentiation of Determinants

Something different is discussed here. Something which is not discussed too much but yet profoundly important. You will learn how to differentiate determinants, one row or column at a time. Don't miss out watching this video!

## Rolle's Theorem

Stating with the Mean Value Theorems, Rolle's theorem is an important application which you need to know. You will learn how to test the conditions of Rolle's Theorem and verify Rolle's theorem You will also learn how to find the point at which the tangent to the curve is parallel to the x axis.

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## Lagrange's Mean Value Theorem

The next mean value theorem that you need to know is Lagrange's mean value theorem.The video teaches you how to check the conditions of Lagrange's mean value theorem and check if the theorem is verified. It also helps you to find the point at which the tangent is parallel to the chord joining the 2 points.

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## Indeterminate form of Limits

This is the last video in my series on Differentiation. We discuss the various Indeterminate forms and you are given techniques on how to apply L'Hospital's rule in each case. The logarithm method should also be noted. A very important topic.

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# Applications of Derivatives

# Derivative as a Rate measure

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This session deals with how to calculate the derivative as a rate measure given various conditions.A good point about this topic is that there are no formulae to remember, just simple applications which requires some understanding, of course. A few geometric illustrations are also given. So, stay tuned in!

Welcome to the series "Applications of Derivatives"

A useful and important topic for Class 12 maths

## Approximate values of a function

How do you calculate the approximate value of a function using Derivatives? An incredibly simple and easy method! Approximate error and how to calculate it, is also shown! Watch this video to find out!

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## Tangent and Normal to a function

You will learn how to calculate the slope of a tangent and a normal to a curve. Using this, you can calculate the equation of a tangent and normal to a curve. An incredible use of differentiation in Geometry is illustrated here.

Tons of math videos right at your fingertips!

## Problems on Maxima, Minima

This is a difficult topic which students have often found difficult.I have discussed as many problems as possible,The interesting point to note here, is that, each problem is difficult. Just analyze each problem, understand and practice it . Practice makes you perfect!

### Integration

# We now start with integral Calculus

## Integration

I start with elementary basic integration techniques which starts with the very basic formulae. A good way to start with !

A better mathematical understanding starts now!

## Partial Fractions

I introduce a very important technique used in Integration, namely, the method of Partial Fractions. You will learn how to form partial fractions with distinct roots, repeated roots and quadratic roots.

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## Special Integrals Part 1

You will learn different types of integrals and how to evaluate them.A number of problems are discussed here.

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## Integration by Parts

This is a very important technique used in Integral calculus. You will learn how to integrate the product of 2 functions using a simple rule. The order of functions is also given as ILATE or LIATE.

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## Special Integrals -Part 2

How to calculate integrals of the form linear/square root of quadratic? This video teaches you this and similar problems. A useful video with lot of integration techniques.

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## Integral as the limit of a Sum

An important topic which teaches you how to calculate integral using the limit of sums. The method is used for definite integrals and is a little tedious but is worth learning and practicing.

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## Areas between 2 curves

An application of integrals where we use integrals to calculate the area between 2 curves. A very useful

application .One needs to understand the trick behind it as explained in the video.

A better understanding of maths starts now! Keep practicing!

## Determinants an Matrices

# We move to a slightly easier topic, which is of immense use in Algebra and also important from your Class 12 point of view.

## Properties of Determinants

You will learn about elementary row and column operations which can be performed to simplify and then evaluate a determinant. I have solved a few questions from the previous year's exams here. Students often find this topic difficult as there is no one formula to use, each problem is different in it's own way.

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## Inverse of a matrix using elementary transformations

This is another topic which students tend to find a bit difficult and that is calculating the inverse of a matrix using elementary operations. Each student may use a different operation and though the answer is unique, it is sometimes tricky to get.

Watch this video today!

### A peek into 3D Geom

## A slightly tricky topic for most students. When my daughter was in Class 12, she found this topic the most difficult. My aim is to simplify this topic for you, with a few formulas .

## Solving a system of equations

You will get useful insights into how to solve a system of equations. Different cases of the form AX=B are discussed.

We look at various cases as to when the determinant of A is zero or non zero and discuss the solution in each case.

The only way to learn Mathematics is by practicing it! So do so with me.

## Cartesian and Vector form of a line

We learn about 2 basic forms in 3D geometry, namely the Cartesian and the vector form and how to convert one form to the other. Here, we show you how to write the equation of a line in these 2 forms.

Tons of math videos at your fingertips!

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## Angle between 2 lines in 3 D

You will learn a simple formula to calculate the acute angle between 2 lines in 3 d geometry. Basically, you get the acute angle by putting the modulus sign.

A better understanding of mathematics starts now!

## Shortest distance between 2 lines in 3 D geometry

The shortest distance between 2 lines is calculated using a simple formula. Again, both the Cartesian and Vector form of a line are included. Repitition is the mother of learning! So practice each problem as you are watching.

Don't miss watching this video!

## Equation of planes in 3 D geometry

Moving over to planes, this session teaches you how to calculate the equation of a plane .It is slightly tricky as you need to understand the concept behind it.

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## Angle between 2 planes

There is a simple formula to calculate angle between 2 planes which is discussed in this session. Apart from this, there are a number of other problems, which you will find useful in this session.

Call today for any doubts.

## Distance from a point to a plane

Presenting how to find the distance from a point to a plane and distance between 2 planes. A useful and important topic.

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### Probability

# The next topic which we will discuss briefly is Probability

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## Introduction and a basic overview of Probability

I am presenting 2 videos here which deal with the basic definition of Probability and applications based on it. This is a topic used greatly in the SAT, GRE ,GMAT exams as well.There are 3 sessions here. I encourage you to go through each session as they contain valuable tips and simple problem solving techniques gained from years of expertise.

Watch these videos today!

## Random variables and Binomial distributions

You will learn about probability distributions here. There are 2 types of probability distributions that we will learn here.

Random variables and their distributions and Binomial distribution. Mean and variance of each distribution is explained and problems are illustrated beautifully.

Don't miss out!

## Applications of Calculus in Commerce and Economics

# Coming to a lighter topic, I now discuss a few topics taught in Section C of ISC Mathematics.

# You will learn about the cost function, revenue function, breakeven points, marginal cost, average cost, marginal revenue , average revenue and a few more terms. You will see how we use differentiation and integration in determining these values. A very popular session with over 4000 views on youtube.Don't miss out!

# Practice every slide, every line with me to master the topic. Pause each slide and practice!

## Regression Analysis

Regression is a very useful tool in Statistical Analysis. You will learn about the lines of regression, regression coefficients and how to evaluate the dependent variable. A very important and useful topic.

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## Linear Programming Problems LPP

LPP is an important part of Statistics and applied mathematics. It teaches you how to use a given set of constraints to optimise a given value.

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## MAXIMA AND MINIMA PROBLEMS

APPLICATIONS OF DERIVATIVES

This video teaches practical applications to maxima and minima problems. Here, the use of Second Derivative test is illustrated.

This is useful for grade 12 math students. The video is simple to understand.

## CALCULATING TANGENT AND NORMA

APPLICATIONS OF DERIVATIVES

In this video, we learn how to calculate slope of a tangent and normal using derivatives. We also learn how to calculate the equation of a tangent and normal at a particular point. This is useful for grade 12 math students. The video is explained in a structured manner.

## CALCULATING DOMAIN AND RANGE OF A FUNCTION

RELATIONS AND FUNCTIONS

In this video, we discuss problems on how to calculate the domain and range of a function.Here, different types of problems are discussed as each problems has a different approach. This video is useful for students of grades 11 and 12 studying math.

## PROPERTIES OF DETERMINANTS:SOLVED BOARD QUESTIONS

## CALCULATING INVERSE OF A MATRIX USING ELEMENTARY TRANSFORMATIONS

MATRICES

Here, we learn how to calculate inverse of a matrix using elementary row or column operations. Generally, students tend to find this topic a little difficult. I hope this video helps students understand this topic a little better.

## EQUATION OF PLANES IN 3D

This video is designed to help grade 12 math students learning 3 dimensional geometry.

Here, problems on calculating angle between 2 lines in the Cartesian and Vector form are discussed.

## HOW TO CALCULATE ANGLE BETWEEN 2 PLANES IN 3 D

How do you calculate angle between 2 planes in 3 D?

Watch this video to find out. Here, we learn how to calculate angle between 2 planes. We learn how to check if 2 planes are parallel or perpendicular. We also learn how to find the angle between a line and a plane. The intersection of 2 planes is also touched upon.

This is a part of grade 12 mathematics. It is also useful for the NATA ELIGIBILITY test for architecture.

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## ANGLE BETWEEN 2 LINES IN 3D

This video is designed to help grade 12 math students learning 3 dimensional geometry.

Here, problems on calculating angle between 2 lines in the Cartesian and Vector form are discussed.

## DISTANCE OF A POINT FROM A PLANE IN 3 D GEOMETRY

How do you calculate distance of a point from a plane?

Watch this presentation to find out. Here, we learn how to calculate the perpendicular distance from a point to a plane. We also learn how to find the distance between 2 parallel planes. How to calculate the equation of a plane mid parallel to 2 planes.

This channel is useful for students of grades 11 and 12 studying Mathematics and also students preparing for the NATA eligibility test for architecture.

Do consider subscribing to my channel and hit the bell so you get notifications each time a new video is published.

## 3 D GEOMETRY: CONCEPT OF CARTESIAN AND VECTOR FORM OF A LINE

This is the first of my series of videos on 3 dimensional geometry. Here, we learn the concept of direction ratios and direction cosines. CatesIan and vector forms of a line are also introduced.

The video is simple and easy to understand.

## ANGLE BETWEEN 2 LINES

How do you calculate angle between 2 lines in 3 dimensional geometry?

Learn this and much more in this presentation/video. Here, we learn how to calculate angle between 2 lines, equation of a line passing through 2 points and perpendicular to a line and how to find the foot of a perpendicular from a point to a line.

These are useful for grade 12 mathematics students and students appearing for the NATA eligibility test in architecture which has maths as a section

## REGRESSION ANALYSIS

In this video, we learn about regression coefficients, their relation to correlation coefficients and the 2 lines of regression.

We learn about independent and dependent variables. The relation of the regression coefficients to standard deviation is also stressed.

This is useful for grade 12 math students and also students learning Statistics.

## PROBABILITY

This video attempts to explain probability and discusses problems on probability using combinations and the fundamental principal of counting. This is useful for grade 12 math students and students preparing for the GRE quant.

The video is easy to understand.

## This video attempts to explain probability and discusses problems on probability using combinations and the fundamental principal of counting. This is useful for grade 12 math students and students preparing for the GRE quant.

The video is easy to understand.

## SHORTEST DISTANCE BETWEEN 2 LINES

3 DIMENSIONAL GEOMETRY

How do you calculate the distance between 2 lines in 3 dimensional geometry?

Watch this presentation to find out how to calculate the shortest distance between 2 parallel and non parallel lines. We also learn about skew lines and how to test if 2 lines are skew.

This is a useful topic for students of grade 12 maths and students preparing for the NATA eligibility test in architecture

## SYSTEM OF EQUATIONS (MATRICES)

NATA eligibility test for architecture

How do you solve a system of 3 equations in 3 unknowns? How do you find the inverse of a matrix?

Learn this and much more by watching this video. Here, we learn how to calculate the inverse of a 2 by 2 and 3 by 3 matrix. We learn about adjoint of a matrix and how it is used to solve a system of equation. We consider the cases of a unique solution, infinitely many solutions or inconsistency of the equations.

This video is useful for grade

How do you solve a system of 3 equations in 3 unknowns? How do you find the inverse of a matrix?

Learn this and much more by watching this video. Here, we learn how to calculate the inverse of a 2 by 2 and 3 by 3 matrix. We learn about adjoint of a matrix and how it is used to solve a system of equation. We consider the cases of a unique solution, infinitely many solutions or inconsistency of the equations.

This video is useful for grade