MATH221 · Chapter 4 · Annotated SlidesElements of Numerical Integration
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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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Every original slide is shown unchanged. Yellow marks on a slide point to a numbered note: hover or tap a mark to jump to its note, and hover a note to see its marks. Questions tagged Past exam appeared on a real paper; Prediction questions are likely angles, not confirmed. Pick an answer to each question: a wrong pick tells you why it is wrong, so you can try again.

All 13 slides
  1. 1 Ch-4.3
  2. 2 Slide 2
  3. 3 4.3 Elements of Numerical Integration 197
  4. 4 Slide 4
  5. 5 Exercise Set 4.3
  6. 6 Slide 6
  7. 7 5.
  8. 8 9.
  9. 9 The Trapezoidal Rule
  10. 10 SimpsonÕs Rule
  11. 11 Slide 11
  12. 12 Slide 12
  13. 13 3.
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Ch-4.3

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4.3 Elements of Numerical Integration 197

Slide 3: 4.3 Elements of Numerical Integration 197

Notes

  1. Trap Simpson's rule has degree of precision 3, not 2.

Exam angle

PredictionQ1

Simpson's rule for ∫₀² x² dx gives:

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Exercise Set 4.3

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5.

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9.

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The Trapezoidal Rule

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SimpsonÕs Rule

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3.

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