Photo of our new inductees along with our guest speaker and returning members of Pi Mu Epsilon. All in all a great time! Congrats to our new members!
Lots of fun conversations and stories at dinner as well. Looking forward to next year!
Photo of our new inductees along with our guest speaker and returning members of Pi Mu Epsilon. All in all a great time! Congrats to our new members! Lots of fun conversations and stories at dinner as well. Looking forward to next year!
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Here's a photo from last year's induction ceremony and talk (2015). Our invited speaker was Alice Silverberg from UCI.
In Calculus I (Math 141A) we are learning Newton's Method. It all starts with a simple linear approximation to a function and seeing where the approximation crosses the x-axis. That crossing point yields a new starting point for another linear approximation and an iterative scheme is created.
$$x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}.$$ Newton's method applied to the function $f(x) = x^3 + 5$ is seen below using the starting point $x_0 = -5$. Within 7 iterations, $|f(x_7)|<10^{-15}$. |
Fred ParkAssistant Professor at Whittier College. Archives
October 2020
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