# algebra

### Ajit Mishra’s Online Classroom: Functions in R

Ajit Mishra’s Online Classroom: Functions in R.

This is another blog post released from my Online Classroom of Mathematics . It is a discussion about Functions in R as real sequence .

**To see this blog post in detail please click on the given Image or Link .**

### Ajit Mishra’s Online Classroom: Properties of Continuous Function

Ajit Mishra’s Online Classroom: Properties of Continuous Function.

This is again a blog post released from my Online Classroom of Mathematics . In this post here is a discussion about an Important properties of Continuous function .

**To see this blog post in detail please click on the given Image or Link**

### Ajit Mishra’s Online Classroom: Intervals in R

Ajit Mishra’s Online Classroom: Intervals in R.

Real Analysis is an Important part of Mathematics . In this blog post which is released from my Online Classroom of Mathematics is a discussion about “Intervals in R” . This is a very important topic of Real Analysis .

**To see this blog post in detail please click on the given Image or Link .**

### Ajit Mishra’s Online Classroom: Differentiability Theorem

Ajit Mishra’s Online Classroom: Differentiability Theorem.

**Theorem :- ** A function ** f ** is differentiable at ** x=a** if and only if there exists a number ** l ** .

such that ;

** f(a+h)-f(a)=lh+hn**

Where ** n ** denotes a quantity which tends to ** 0 ** as ** h–>0 ** .

This theorem is known as Differentiability Theorem .

**To see the proof of this theorem please click on the given Image or Link .**

### Ajit Mishra’s Online Classroom: Clairaut’s Equation

Ajit Mishra’s Online Classroom: Clairaut’s Equation.

This is my new blog post released from my Online Classroom of Mathematics . In this post you will see a short note about Clairaut’s Equation . It is a very important chapter of Calculus .

In this blog you will find final conclusion that , The singular solution represents the envelop of the family of straight lines represented by the complete solution .

**To see this blog post in detail please click on the given Image or Link .**

### Ajit Mishra’s Online Classroom: A Video of Teaching via Screen Sharing on Ajit Mishra’s Online Classroom

This is a short video in which you will see how an mathematical equation will solve in my Online Classroom of Mathematics . This is a video of a presentation of screen sharing via Skype . Please see how this solution will solved and write your comments if any .

**To see this video and blog post please click on the given Image or Link**

### Ajit Mishra’s Online Classroom: Areas of Plane Curves

Ajit Mishra’s Online Classroom: Areas of Plane Curves.

In this post which is released from my Online Classroom of Mathematics , you will see some little information about “Cartesian Co- ordinates” an its definition . You will also see some information about “Quadrature” .

In this blog post there is some figure and details about curves and its formulas with equations .

To see this blog post please click on the given Image or given Link . Please it my request that write your comments also which help[s me to improve my my blog .