MATH221 · Annotated SlidesChapter 4 — Elements of Numerical Integration
Chapter 4 · Annotated slides

Elements of Numerical Integration

Elements of numerical integration: the trapezoidal rule and Simpson's rule with their error terms, degree of precision, and Newton–Cotes formulas.

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Slide 1: Ch-4.3
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      Slide 3: 4.3 Elements of Numerical Integration 197
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      1. Trapezoidal: ∫ₐᵇ f ≈ (h/2)(f(a) + f(b)), h = b − a; exact for degree ≤ 1.
      2. Simpson's: ∫ ≈ (h/3)(f(x₀) + 4f(x₁) + f(x₂)), h = (b − a)/2; exact for degree ≤ 3.
      Exam trapSimpson's rule has degree of precision 3, not 2.
      🎯 How this can come up · 1 question
      MCQ

      Simpson's rule for ∫₀² x² dx gives:

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        Slide 5: Exercise Set 4.3
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                Slide 9: The Trapezoidal Rule
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