Series and approximation

Infinite sums and Taylor series: how calculators compute sin x and why physicists approximate everything.

4 lessons planned · none written yet

  1. 1Sequences and convergenceNot written yetWhen an infinite list settles down.
  2. 2Geometric seriesNot written yetThe one series you can always sum.
  3. 3Taylor polynomialsNot written yetApproximate any smooth function with a polynomial.
  4. 4Euler’s formulaNot written yete^{iθ} = cos θ + i sin θ, and why it matters for waves and quantum mechanics.