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MATH 317 - Coggle Diagram

- - - - \( y'(t) = f(t, x(t), y(t)) \)
      - \(x(0) = a \)
      - \( y(0) = b \)
      - \( x'(t) = y(t) \)
- - - - Divided difference
- - - - Discretization Error (infinite precision)
      - Rounding Error (finite precision)
- - - - The points to interpolate are not equally spaced, so to maximize the degree of accuracy
    - - Midpoint Rule
      - Trapezoidal Rule
      - Simpson's Rule
    - - Divide the domain [a, b] into many sub-intervals