Rambling Notes from School:

  • Summary of Operator Facts and Terminology from Linear Algebra Done Right.
  • Rotation
  • Partial Fractions Expansion.
  • Equations of motion for a chain of point masses.
  • Integrability of vector fields.
  • The Serret-Frenet Triad.
  • Trapezoidal Rule Error derivation, (even powers of h).
  • Polynomial Interpolation Error Formulas, Proof Outlines, and notes on Constructing the Interpolating Polynomials.
  • my solution to a math quiz, as well as a concept from my approach to the second part of problem 1.
  • least squares notes, examples, and comments.
  • natural cubic splines, (a clean but artless derivation).
  • convergence rates of sequences, including why the secant method converges with order (1+sqrt(5))/2.
  • significant digits in fixed point iterations.
  • accelerating the convergence of fixed point iterations.