MATH221 · Annotated SlidesChapter 5 — Higher-Order Taylor Methods
Chapter 5 · Annotated slides

Higher-Order Taylor Methods

Higher-order Taylor methods (order 2 and beyond) using derivatives of f.

Slide text Study notes Highlight: key words Tips, tricks & traps Seen again elsewhere How it can come up
Slide 1: Slide 1
Exam weight Low
    Slide 2: order 2
    Exam weight High
    1. Taylor order 2: wᵢ₊₁ = wᵢ + h[f(tᵢ, wᵢ) + (h/2) f′(tᵢ, wᵢ)], where f′ = df/dt along the solution. Local error O(h³), global O(h²).
    Slide 3: Slide 3
    Exam weight Low
      Slide 4: Slide 4
      Exam weight Low
        Slide 5: Slide 5
        Exam weight Low
          Slide 6: Slide 6
          Exam weight Low
            Slide 7: Slide 7
            Exam weight Low
              Slide 8: Slide 8
              Exam weight Low
                Slide 9: Slide 9
                Exam weight Low