4 Videos from Newton’s iteration to stationary points

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We will cover following issues in these videos-

Newton’s iteration
Mean Value Theorem
Rolles theorem
Stationary points and extrema Continue reading →

2 Videos on increasing and decreasing functions

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We will cover following issues in these videos-

Increasing decreasing function
First derivative and second derivative test

Continue reading →

2 Videos explaining the difference between linear and quadratic approximation

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2 Videos explaining the difference between linear and quadratic approximation
We will cover following issues in these videos-

Explanation for having half of the second derivative in quadratic approximation
Quadratic approximation of the product of a function Continue reading →

3 Quadratic approximation videos

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Next 3 videos explain and discuss quadratic approximation with example of sinx and cosx.
We will cover following issues in these videos-

Quadratic Approximation
Quadratic Approximation of sin x
Quadratic Approximation of cos x

Continue reading →

3 Videos on Importance of approximation and finding product approximation

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Next 3 videos discuss importance of linear approximation as well as finding the approximation for a function which is the product of two functions.
We will cover following issues in these videos-

Importance of approximation
Find approximation of a product of two functions
Find approximation of a product of two functions directly Continue reading →

3 Linear approximation examples

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Next 3 videos will discuss linear approximation points for sinx and cosx . Also we will discuss about changing the base of the function using different point.
We will cover following issues in these videos-

Linear approximation of sinx near 0
Linear approximation of cosx near 0
Shifting base in approximating Continue reading →

3 Linear approximation concepts

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Next 3 videos explain the concept of linear approximation of a function.

We will cover following issues in these videos-

Linear approximation of a function
Linear approximation of lnx
Maths behind Linear approximation

Continue reading →

3 logarithmic differentiation videos

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Next 3 videos will teach the concept of logarithmic differentiation as well as use of it.
We will cover following issues in these videos-

Derivative of lnx
Derivative a^x using ln
Derivative of e^x using ln

Continue reading →

2 exponential function videos

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Next 2 videos will explain the exponential function and its inverse
We will cover following issues in these videos-

What is e
Inverse of exponential Continue reading →

4 Different aspects of differentiation

Next 4 videos will deal with chain rule of differentiation, implicit differentiation, some interesting relations.

We will cover following issues in these videos-

Chain rule of differentiation
Relationship between x^n and n!
Implicit Differentiation
Differentiating arcTanx Continue reading →

2 Product rule and Quotient rule of differentiation videos

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Next 2 videos will derive the product rule and quotient rule of differentiation

We will cover following issues in these videos-

Product rule of differentiation
Special case of quotient rule Continue reading →

3 Geometrical proofs of trigonometric identities

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Next 3 videos will give some insight about the geometry behind some trigonometric identities.

We will cover following issues in these videos-

Geometric proof of derivative of sinx
Geometric proof of lim x->0 sinx/x = 1
Geometric proof of lim x->0 1-cosx/x = 0

Continue reading →

2 Trigonometric derivatives: sin(x) and cos(x)

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In these two videos we will workout the derivative of sinx and cosx using the first principles method.

We will cover following issues in these videos-

Derivative of sin x first principles
Derivative of cos x Continue reading →

1 Concept on usability of Derivative: Speed

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In this video we will relate the concept of speed with derivative.

We will cover following issues in these videos-

Physical speed interpretation of a derivative Continue reading →

2 Videos deriving the derivative of x^n

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In the following videos we will discuss the differentiation process of x^n in 2 different ways.

We will cover following issues in these videos :

Extension to derivative x^n
Derivative of x^n Continue reading →

3 limits ,continuity & discontinuities concepts

The following videos will discuss the concept of limit, continuity and discontinuities of function at a given point.

We will cover following issues in these videos-

Defining Limit of a Function
Defining Continuity
Discontinuities

Continue reading →

3 Modulus ‘function’ facts we must know

Continuing with our objective of learning mathematical functions let us now see how to deal with a Modulus function.

The videos in this post will make you understand the meaning of a modulus function and how it makes every real number positive. We shall also learn about all the properties related to a modulus function involving real numbers. Continue reading →

3 mathematical ‘function’ basics you should know

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The videos on this post will make you understand the concept behind the functional relationship between one set to another. Mathematical functions basically can be defined in two manners and we will learn them both from the videos.

These three basic videos will define what a function means, what is the domain and range of a function and what are the most common types of function. In these basic videos we will learn about identity and constant functions and their graphs.

Continue reading →

5 concepts related to relation on a set

The videos on this post will make you understand the concept behind the various types of relation on a set. Relation is a topic in discrete mathematics that we must understand before trying to learn about mathematical functions. First, we will define what is a relation and then we will try to look at different type of relations.

In the following videos we will try to learn about void, universal and identity relations. We will also try to compare identity relation with the reflexivity property of certain relations. These concepts will help us understand the notion behind mathematical functions more clearly. Continue reading →