Wednesday, October 21, 2020

The Eye of Horus and Its Significance in Ancient Egypt


I felt that the above diagram was very helpful to explain the Eye of Horus and its significance with unitary fractions.  Each of the "sacred unit fractions" were attributed to six parts of the eye of the god Horus. These fractions, all with powers of two in their denominators, were used to represent the fractions of hekat, which is the unit measure of capacity for grains. The most interesting aspect of the story for me was that according to legend, the pieces were lost in a battle and were restored by the god Thoth. 

For special numbers in my life the closest I can relate to is my hockey number. I wear the number 8 because my birthday is February 8, 199and my favourite player growing up was Alexander Ovechkin who also wears the number 8. 

The Magic Square


As a finance major, I am most comfortable doing math and solving puzzles on excel. That is why it was an easy decision to tackle this problem with my trusty friend. With no rhyme or reason, I decided to start with trial and error. For optimal problem solving, I made sum formulas at the end of each row to see if I was on the right track and a formula at the bottom right that would tell me if I have solved the puzzle or if I should keep trying. For attempt one I tried to start with the largest number (9) then fill in the adjacent squares with the smallest numbers, then go from there. This attempt eventually proved to not work. On my second attempt, I chose a diagonal approach with the three largest numbers, knowing that no two of them could be on the same row (horizontally or diagonally). I then chose to fill in the empty corners with the numbers that made the most sense to me. After that step, I filled in the boxes accordingly and think I got extremely lucky. I enjoy puzzles and because of that I enjoyed this blog post the most out of all the homework assignments thus far. 

Tuesday, October 6, 2020

The History of Babylonian Word Problems

 I used to think that word problems were a new concept that had been developed to assist children in learning math. Little did I know that these word problems have been used for hundreds of years. The word problems look pretty similar to current day word problems, with the exception of some obvious differences, like the use of drachmas and the purchasing of livestock as shown in the problem below. 



That is where practicality comes in, back then in 900 AD that was a practical way of learning math, these are actual situations that someone could be caught in. These days word problems look somewhat different and are possibly less practical. Now this question would likely involve dollars and common grocery store items. The difference is that in current-day calculators are incredibly accessible, being on every smartphone. This means for the most part that the majority of calculations do not need to be done by hand. This also means that word problems are less practical and necessary in my opinion. 

Then there is the issue of "pure" vs. "applied" mathematics. Pure mathematics is in its own world, a world that has its own language and can be extremely daunting at times. Applied mathematics takes these over-complicated concepts and applies them to real-world problems that need solving. As a child or a student of math, I also believe it is easier to understand when it is placed in real-world situations. For example, as a child, it is easier to divide twelve apples between your three friends than just dividing twelve by three. As a person that is not overly fond of math, I appreciate it when applied mathematics simplifies a concept for me. 

Sunday, October 4, 2020

Assignment 1


1) When x=100, there are 30 solutions

2) When x=210, there are 54 solutions

3) When x=420, there are 162 solutions

4) When x=35, there are 18 solutions

Extension: See if you can find out the number of solutions for x=5 within the next two minutes

Answer: When x=5 there are 2 solutions; y=12, z=13 & y=0, z=5



Course and Blog Reflection

 Since reading through all of my previous blog posts it is clear that my idea of math history has changed over the past few months. At the b...