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Last updated:

December 6, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering.

Topics spanned root finding, interpolation, approximation of functions, integration, differential equations and direct and iterative methods in linear algebra.

Course Curriculum

  • Aitken Extrapolations Unlimited
  • Wallis Equation Unlimited
  • 2-D Newton Unlimited
  • Bairstow’s Method Unlimited
  • Quadrature Unlimited
  • Newton-Cotes Unlimited
  • Polynomial Interpolation Unlimited
  • Bernoulli Polynomials Unlimited
  • Bernoulli Numbers Unlimited
  • Some Numerical Fun with Euler/Maclaurin Unlimited
  • Circumference of the Ellipse Unlimited
  • Extrapolation Unlimited
  • Growth of Weeds Unlimited
  • Gauss/Laguerre Quadrature Unlimited
  • Errors vs Evaluations Unlimited
  • ODE via Taylor Series Unlimited
  • Rates of Convergence Unlimited
  • One e = 0.6 Kepler Orbit Unlimited
  • Toward J0 (r) Unlimited
  • Wilkinson’s example Unlimited
  • Condition Number Unlimited
  • Ax = b Iterations Unlimited
  • Rates of SOR Convergence Unlimited
  • Householder Reflections Unlimited
  • Jacobi’s Method of Successive 2D Rotations Unlimited
  • Precursor to Problem 36 Unlimited
  • Eigenvalues Unlimited
  • The Geometry of QR Unlimited
  • Eigenvalues of Chain Matrix Unlimited

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Massachusetts Institute of Technology
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