Upon reading the article, I learned that it is possible to map the functions of the brain using graph theory. Vanderbilt University researchers used vertices to correspond to parts of the brain and edges to map the communication between each of the parts. 24 subjects were experimented upon, in which they were each given an fMRI  and asked to detect a disk on the screen and how much confidence they had in their answer. These results were then measured and graphed. No single part of the brain stood out in any way, as predicted by researchers. A few parts of the brain had more vertices than others. This suggests that consciousness is part of widespread communication throughout the brain and there is no one part controls most functions.
I find this application of graph theory to be interesting and innovative to help further understand what science knows about the brain. I was surprised to find graph theory applied in this way.

Source: http://news.vanderbilt.edu/2015/03/213466/

I thought the most challenging subject discussed this week was Hamiltonian circuits because they are similar to Euler circuits. I find neither challenging by themselves, but I can see myself switching them in the future.

I would like to spend less time in class on finding Euler circuits. I feel as though I have a good grasp on determining if they are possible by using Euler's theorem.

I would like to discuss finding all the Hamiltonian circuits further. I find that this may be useful in the future if I find myself in a situation like the Traveling Salesman problem, and I found it the most interesting subject discussed in class this week.

Hello!

I'm Cassandra, an English major from Unionville, Missouri.

The last math class I have taken was Pre Calculus in my Senior year of high school. Since then it has been a year, but I'm more focused now and ready to cover some of the topics I had in high school such as Probability and Statistics. I also have vague memories of Financial Mathematics. Though I am unsure exactly what Graph Theory is, I can predict that it can be used to solve problems such as The Bridges of Konigsberg, which we saw in class today. I am sure there are many similar instances in which Graph Theory is applicable, and I am sure that I will see it as class progresses.

I'm taking MATH 110E  for two very honest reasons; one, someone told me that I have to, and two, that it is "Mathematics for English Majors". Though I am and English major, and by stereotype math is "not my thing" it does not deter me from trying hard to succeed in this class. I am looking forward to this semester.