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gibson:teaching:spring-2016:math445:exam2topics [2016/04/03 10:30] gibson created |
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You should be familiar with the mathematics and implementation in Matlab code of the following topics | You should be familiar with the mathematics and implementation in Matlab code of the following topics | ||
- | * hamster dynamics / Google Page Rank | + | * [[http://www.ams.org/samplings/feature-column/fcarc-pagerank|hamster dynamics / Google Page Rank]] |
- | * solving nonlinear equations with Newton's method | + | * [[https://en.wikipedia.org/wiki/Newton%27s_method|solving nonlinear equations with Newton's method]] |
* Monte Carlo methods for modeling coin flips and elections | * Monte Carlo methods for modeling coin flips and elections | ||
* 1d, 2d, and 3d graphics | * 1d, 2d, and 3d graphics | ||
- | For example, for nonlinear equations and Newton's method, you should understand how to derive the Newton iteration equation $x_{n+1} = - f(x_n)/f'(x_n)$ for improving an approximate solution to the nonlinear equation $f(x) = 0$, and you should be able to write a Matlab function that would implement the Newton method for a given function $f$ and an initial guess $x_0$. | + | For example, for nonlinear equations and Newton's method, you should understand how to derive the Newton iteration equation $x_{n+1} = x_n - f(x_n)/f'(x_n)$ for improving an approximate solution to the nonlinear equation $f(x) = 0$, and you should be able to write a Matlab function that would implement the Newton method for a given function $f$ and an initial guess $x_0$. |
You should have a good grasp on Matlab syntax we've covered to date. The exam will focus more on recent material: | You should have a good grasp on Matlab syntax we've covered to date. The exam will focus more on recent material: |