M Dash Foundation: C Cube Learning

Category: Mathematics

  • Application of matrix method to thick lens

    Application of matrix method to thick lens

    Optics Series Lecture, Lecture — VI All Optics series articles: https://mdashf.org/category/optics/.  Application of Matrix Method to Thick Lenses Topics covered in this lecture  A. Cardinal points  B. Thick lens equation and matrix for thick lens  C. System matrix for thin lens  D. Unit and Nodal planes  E. Matrix for a system of 2 thin lenses Our previous studies of…

  • Matrix formulation in geometrical optics

    Matrix formulation in geometrical optics

    Topics covered in this lecture Ray tracing a. Translation matrix b. Refraction matrix c. System matrix  In this lecture, we will discuss about one of the most interesting and powerful methods in Geometrical Optics. As we have discussed here (https://mdashf.org/2017/02/25/fermats-principle-a-lecture-in-optics/), geometrical optics is that segment of optics in which we are limited to a situation…

  • Evaluation of a double integral ! Howzzat !

  • The hydrostatic forces on an aquarium !

    An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find (a) The hydrostatic pressure on the bottom of the aquarium, (b) The hydrostatic force on the bottom, and the hydrostatic force on one end of the aquarium.

  • Learning Stoke’s Theorem by example !

    Calculate CurlF and then use Stokes’ theorem to compute the flux of CurlF through the given surface as a line integral. F  =  y,  x,  x2 + y2    , the upper hemisphere; x2 + y2 + z2 = 1,  z ≥ 0.