GeoGebra
GeoGebra
  • Numerical Analysis
  • Interpolation
  • Example: Adpating A Bezier Curve
  • Quadrature, 1
  • Zeros of a Polynomial
  • The Cubic Equation
  • Trigonometric sums
  • Tools

Numerical Analysis

Author:
Ryan Hirst
Part of a project to develop a solution to the general problem f(x) =0. Following roughly the order of Ralston's A First Course In Numercal Analysis, worksheets examining the related problems of Interpolation Numerical differentiation and quadrature Numerical solution of differential equations The zeros of a polynomial Approximation error
Numerical Analysis

Table of Contents

  • Interpolation

    • Piecewise Interpolation
    • Lagrange Interpolation: Equal Spacing
    • Lagrange Polynomial: Even/Odd Sums
    • Cubic Spline
  • Example: Adpating A Bezier Curve

    • Bezier Approximation, 1
    • Bezier Approximation, 2
    • Bezier Circle
  • Quadrature, 1

    • Quadrature: Approximate Osculating Circles
    • The Arc Tangent
    • Bezier Curve Arc Length: Polynomial Approximation
  • Zeros of a Polynomial

    • Newton's Method
  • The Cubic Equation

    • Cubic Equation, 1
    • Cubic Equation: bounds
    • Roots of the Cubic Equation: Solution
    • Roots of the Cubic Equation: Solution 1 (Iteration)
    • Quadratic approximation
    • One root as a continued fraction
  • Trigonometric sums

    • Approximate the function cos(x)
    • Trigonometric Polynomial, 1
    • Trigonometric Polynomial, 2
  • Tools

    • Tool: Cubic Spline (Construction)
Next
Piecewise Interpolation

New Resources

  • Radian Angles
  • Cartesian to Polar Graphs
  • Tangent lines to curves (implicit differentiation)
  • Dilations Part 2: What Do You Notice?
  • SSS Similarity Theorem: Exploration

Discover Resources

  • AAS Congruence Proof Step 3
  • Parallel Line Properties
  • volume of prism
  • warmup
  • Multiple Integrals

Discover Topics

  • Upper and Lower Sum or Riemann Sum
  • Percentages
  • Calculus
  • Cosine
  • Volume

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