User Tools

Site Tools


gibson:teaching:spring-2016:math445:exam2topics

====== Differences ====== This shows you the differences between two versions of the page.

Link to this comparison view

Next revision
Previous revision
gibson:teaching:spring-2016:math445:exam2topics [2016/04/03 10:30]
gibson created
gibson:teaching:spring-2016:math445:exam2topics [2016/04/05 11:32] (current)
gibson
Line 5: Line 5:
 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:
gibson/teaching/spring-2016/math445/exam2topics.1459704612.txt.gz · Last modified: 2016/04/03 10:30 by gibson