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HOW TO STUDY DIFFERENTIAL CALCULUS FOR CLASS 12 MATHEMATICS NCERT, ISC ,CUET MATHS

If you are a student of Mathematics, in Class 12, and if you find Mathematics a little overwhelming, then this page is for you.

Class 12 Mathematics is an adventure of its own with Relations and Functions which you may find a little abstract. Then there is Inverse Trigonometry which can totally overwhelm you if you do not know how to go about it properly.

Matrices and Determinants is easy but again finding the inverse of  a matrix using elementary row and column operations can be challenging. Then you have Differential Calculus and Integral Calculus which may confuse you.

Vectors is relatively easy but 3 Dimensional Geometry can be challenging. Linear Programming again requires understanding on graphing the feasible solution.

Having taught Mathematics for close to 3 decades, I invite you to be mentored in Mathematics and overcome the barriers of study.Learn how to enjoy Mathematics. You will learn to take each problem as a challenge.

The secret is for you to start with basic formulas and then move over to more complex problems. Time management is also a valuable tool which you will learn along the journey.

As the days progress, you will begin to enjoy Mathematics and soon you will attain your goal of good scores plus a deeper understanding of the subject.

RELATIONS AND FUNCTIONS

INVERSE TRIGONOMETRY

DIFFERENTIAL CALCULUS

PROBABILITY

MATRICES AND DETERMINANTS

VECTORS AND 3 DIMENSIONAL GEOMETRY

INTEGRAL CALCULUS

APPLICATIONS OF INTEGRALS

DIFFERENTIAL EQUATIONS

COURSE ON INTEGRAL CALCULUS

REGRESSION ANALYSIS

UNDERSTANDING LOGARITHMS

Do you know that logarithms are used extensively in Calculus, be it limits, derivatives or Integration? How then do you apply properties of logarithms while solving problems in Calculus? Learn this by watching this video. Here, we discuss the basic properties of logarithms such as the product rule, quotient rule, exponent rule. We also learn how to apply the change of base formula and a few formulae on exponential limits. Online tutoring is provided. You can choose between specific topics and the entire course.

Click to watch video.

## 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.

## 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.

## 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

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