Thursday, September 18, 2008

why derivatives ?

To find an approximation of \sqrt[3]{25} one can do as follows.

  1. Consider the function  f(x)= x^{1/3}.\, Hence, the problem is reduced to finding the value of f(25).
  2. We have
     f\ '(x)= 1/3x^{-2/3}.
  3. According to linear approximation
     f(25) \approx f(27) + f\ '(27)(25 - 27) = 3 - 2/27.
  4. The result, 2.926, lies fairly close to the actual value 2.924…
Read some interesting and basic mathematics.. http://en.wikipedia.org/wiki/Linear_approximation

Tuesday, September 16, 2008

LOST TOUCH WITH MATHS

Onam days I have tried some Laplace Transform ( which is commonly used in Network realization and ELECTRICAL circuits ) from mathematics text book. Then I realized the fact that even the basic integration methods like integration by parts and other haven't there in my mind. But the basic for mule in Laplace finished in onam days itself. Parallel y hearing online video classes ..... but it is like a drop of water in the sea....... I dont know where I can reach.

Monday, September 8, 2008

I am wasting precious time

Mind become restless if we can't utilize our time effectively. Nowadays I found that that was the major reason for my restlessness. Somewhere I need to concentrate my mind and brain. I am feeling that I am not utilizing the time given to me...

I don't know how to solve this problem..... But I am not ready to fear.


( this is today's state of mind )