nth Order Derivatives


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.

Radius of Curvature


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


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 derivatives Part 1 and 2
Taylor's and Maclaurin's Theorem
Indeterminate form of limits
Homogeneous equations and Euler's Theorem
Tangential and Normal Components of Acceleration
Gradient, Divergence and Curl
Reduction Formula
Exact Differential Equations
Inverse Differential Operator
Newton's Law of Cooling-LR circuits
Orthogonal Trajectories of a Curve
Pedal Equations
Orthogonal Trajectories of a Curve
Angle between 2 curves
Radius of Curvature

nth order derivative


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


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


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


You will learn more about homogeneous functions,Euler' Theorem and the concept of differential is introduced here.

Tangential and Normal Components of Acceleration


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.

Gradient,Divergence and Curl 


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


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


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


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


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

Orthogonal Trajectories of a curve


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

Pedal equations


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

Angle between 2 curves


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.

Radius of Curvature


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.

Short online courses in College-Engineering math

Do you need more help in math?

Presenting an attractive proposal where you can use any of my online courses . Visit my page 


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