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!

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, $|f(x_7)|<10^{-15}$.