# Author Archives: Samuel Coskey

In this short homework assignment, you will read a published article and start writing a draft of your own article. It is due Monday, September 9. Continue reading

# Lab 1, iteration of linear functions

In this lab, you will explore what happens when you apply a linear function $ax+b$ again and again to a given initial value $x_0$. Using Sage to help you automate your investigations, you will observe the iteration process for many values of $a$, $b$, and $x_0$. If all goes well, patterns will start to emerge…. I will give you gidance on how to write your findings, and after a couple weeks, you will hand in a fancy article. Continue reading

# HW: Getting started with Sage

Here is an example of the kind of programming we might be doing in Sage. The problem: Create a visualization of integer divisibility. This is a widely open-ended problem and it has many interpretations and solutions. Here is how I will choose to interpret it today: Consider all pairs of integers $(n,m)$ as points on the $xy$-plane, and highlight all the points $(m,n)$ such that $n$ is divisible by $m$.

Let’s go through the steps for doing this one at a time. Continue reading

# Welcome!

Math 287 is a relatively new course with two primary roles. First, it is a second course in proofs and problem solving. And second, it the first and last course in mathematical communicationâ€”reading, writing, listening, and speaking in the language of mathematics. In this class we will attack challenging, open-ended problems and practice discovering and proving theorems. We will do this work in groups, and explain our results both orally and on paper.

If you’re not excited already, take a look at the syllabus for more details about the course expectations and goals!