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This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering.
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English
English [CC]
FREE
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- Learn what is a programming language and the basic concepts for beginners.
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- Know the basic syntax of Javascript.
- Know some hidden quirks in Javascript.
Description
Topics spanned root finding, interpolation, approximation of functions, integration, differential equations and direct and iterative methods in linear algebra.
Course content
- 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
Instructor
Massachusetts Institute of Technology
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