Editing Numerical Methods (section)

== <span style="color: #FFFFFF;">Remembering</span> ==
* '''Numerical Analysis''' — The study of algorithms that use numerical approximation for the problems of mathematical analysis.
* '''Algorithm''' — A step-by-step procedure for solving a problem.
* '''Approximation''' — A value that is nearly but not exactly correct.
* '''Error''' — The difference between the exact solution and the numerical approximation.
* '''Iteration''' — The repetition of a process to get closer and closer to a solution.
* '''Convergence''' — When a numerical method gets closer to the "True" answer as you run more steps.
* '''Divergence''' — When a numerical method fails and the numbers fly away to infinity.
* '''Floating Point Arithmetic''' — How computers handle numbers with decimals (and the errors it causes).
* '''Interpolation''' — Estimating a value "between" known data points.
* '''Extrapolation''' — Estimating a value "outside" the range of known data points.
* '''Newton's Method''' — A famous iterative way to find where a function equals zero.
* '''Euler's Method''' — A basic way to solve differential equations by taking tiny steps in the direction of the slope.
* '''Rounding Error''' — Errors caused by a computer's limited memory (e.g., trying to store $\pi$ with only 10 digits).
* '''Truncation Error''' — Errors caused by stopping an infinite process early (e.g., using only the first 3 terms of an infinite series).
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