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  1. vktsn0303

    I Order of derivatives

    If v is of order δ, what is the order of ∂v/∂x and ∂2v/∂x2 ?
  2. vktsn0303

    Tangent vector

    But the rate of change at a point can never be a tangent at that point. It has to be integrated to obtain the equation of the tangent.
  3. vktsn0303

    Tangent vector

    Then why is the rate of change called the tangent vector itself?
  4. vktsn0303

    Tangent vector

    I was reading about the tangent vector at a point on a curve. It is formulated as r' = Lim Δt→0 [r(t+Δt) - r(t)] / Δt (sorry for the misrepresentation of the 'Lim Δt→0 ') where r(t) is a position vector to the curve and t is a parameter and r' is the derivative of r(t). All I can...
  5. vktsn0303

    What is an integrating factor exactly?

    I'm sorry about the question not matching the title. I didn't realize when posting it. Your guess sounds right. Thanks.
  6. vktsn0303

    What is an integrating factor exactly?

    While solving non-homogenous linear ODEs we make use of the integrating factor to allow us to arrive at a solution of the unknown function. Same applies to non linear ODEs where the ODEs are converted to exact differentials. But what I don't understand is how and why would someone have come up...
  7. vktsn0303

    Concept of limit

    Well, I actually had a fundamental doubt (silly even) for which reason I had posted the question mainly. I am a newbie to the concept of limits. My doubt is as follows. Why should we look to modify the numerator or the denominator or both? Why not just consider that as n tends to infinity the...
  8. vktsn0303

    Concept of limit

    How can it be proved that as lim n tends to infinity, (n2-1)/(n2 + n + 1) tends to 1 ?
  9. vktsn0303

    Why are transcendental functions called so?

    I see. Thank you pwsnafu.
  10. vktsn0303

    Why are transcendental functions called so?

    I have learnt that they are called so because they cannot be expressed with the help of elemental methods of mathematics such as addition, subtraction, multiplication and division. But then isn't the whole of mathematics itself based on the elemental methods?
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