## nth Order Derivatives

https://youtu.be/vNtE0h_kDg4

sequel to my earlier video on nth order derivatives. In high school, you learn derivatives upto 2nd order. Here, you realise how you can just about calculate any order derivative.

https://youtu.be/nqdN0eWHd_w

You will understand the concept of radius of curvature and the various methods in which it can be calculated.The standard form, Cartesian form and the Polar form of the radius of curvature are discussed here.

## Pedal Equations

https://youtu.be/L4RXveHqT3s

Learn about pedal equations and Arc length. A slightly challenging topic!

##### What are you learning here?

You will learn short lessons on various math topics pertaining to the college level. The topics include:

## nth order derivative

https://youtu.be/YCF-AnXw8Z0

This video helps us to understand how to calculate nth order derivative using Leibnitz Theorem. It gives a recursive method of solving problems.

## Taylor's Theorem and Maclaurin's Theorem

https://youtu.be/ZJ9FAoN2J0c

Taylor's and Maclaurin'e theorem are illustrated through examples. You will see how easily Maclaurins' theorem is derived from Taylor's Theorem. An interesting application!

## Indeterminate form of limits

https://youtu.be/cATRZCMGn1I

You will learn how to solve problems in indeterminate form of limits.You will learn the 0/0 form, infinity/infinity form and the logarithm method. A useful tool for class 12 and college students learning math.

## Homogeneous equations and Euler'Theorem

https://youtu.be/4e0Mr-sXm4s

## Tangential and Normal Components of Acceleration

https://youtu.be/3vBlnZ0RQ2U

You will learn how to calculate the velocity and acceleration vector at time t and the components of the velocity and acceleration vector. You will also learn how to compute the components of the acceleration vector along the tangent and normal.

https://youtu.be/c2Az2DFdIsw

You will learn how to understand the difference between gradient and divergence which is slightly tricky to understand. The concept of curl of a vector and how to calculate it is also explained.

## Reduction formula

https://youtu.be/-DA6DnZHnoc

Reduction formula is a very powerful technique used to integrate higher powers of sine and cosine.You will also learn how to integrate powers of product of sine and cosine together with algebraic functions.

## Exact Differential equations

https://youtu.be/HpnPlDzM_Ms

You will learn what are exact differential equations and various methods on how to solve them. Three different types are discussed here.

## Inverse Differential Operator

https://youtu.be/r6mkGRLpm_w

An exclusive video which teaches you about the inverse differential operator.You will learn how to use it to find the particular integral of trigonometric, hyperbolic ,algebraic and inverse hyperbolic functions.

## Newton's Law of Cooling, L-R circuits

https://youtu.be/bn5qN3rHYdc

Newton's law and its linear differential equations is derived for you.A prominent video in college maths.

## Orthogonal Trajectories of a curve

https://youtu.be/O4_DNgmW_SY

worthwhile session which will teach you how to calculate the orthogonal trajectories of a curve.

## Pedal equations

https://youtu.be/L4RXveHqT3s

A select video lesson which teaches you about pedal equations and arc length.

## Angle between 2 curves

https://youtu.be/tQNBiGJ1h9o

A worthwhile lesson where you learn that angle between 2 curves is the same as the angle between their tangents. We discuss different cases here.

https://youtu.be/nqdN0eWHd_w

You will learn alternative methods of computing the radius of curvature,I discuss the standard form, Cartesian form and Polar form of the radius of curvature. 