More on Math Careers

This is a modest, useful assortment of profiles from the Australian Mathematical Sciences Institute that focus on how individuals use mathematics in their jobs.

http://www.mathscareers.org.au/

The profiles range from math-intensive jobs like Sports Statistician and Traffic Engineer to [seemingly] non-math jobs Personal Trainer and Hairdresser.

It’s nice that they make the point that even if your job title isn’t Mathematician, math skills will still give you an edge in whatever you do.  For a more specific focus on mathematically-intense careers, check out this site from MathCareers.org.uk.

It’s always good to have one more answer to the recurring question “What can I do with math?”

The Year in NFL Scoring

football-in-airAs the books close on the 2011 NFL regular season, it’s time to revisit my pre-season prediction that the new kickoff rule would result in a slight decrease in per-game scoring.

The pre-season predictions on the number of touchbacks turned out to be fairly accurate.  In 2011, about 43% of kickoffs (922 out of 2151) resulted in touchbacks; in 2010, only 16% of kickoffs (359 out of 2221) resulted in toucbacks (thanks to NFL.com for the data).

Did the increase in touchbacks reduce overall scoring in 2011, as hypothesized?  No.  In 2011, around 44.4 points were scored per game in the NFL; in 2010, around  44.1 points were scored per game.  Per-game scoring actually increased slightly this year !

One issue worth mentioning, however, is the disproportionate effect the top three scoring teams have on the data.  During the 2010 season, New England was the highest scoring team in the league with 518 points total points; this was nearly 80 points more than the second highest scoring team.  In 2011, the Packers, Saints, and Patriots all scored over 500 points!  If we remove the three highest-scoring teams from each season, scoring for the rest of the league actually drops about 0.7 points per game.

It’s been fun drilling down into the data this year, and many other interesting questions popped up along the way.  And off-season changes always create new opportunities for analysis.

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2012: Happy New Number!

Welcome 2012!  It will be hard to measure up to the numerous numerical nuances of 2011, but the number 2012 does possess some interesting properties.

The prime factorization of 2012 is noteworthy:

Not only does 2012 have only two distinct prime factors, but the prime factor 503 is rather large.  In fact, 2012 is an unusual number, in that its largest prime factor is greater than its square root.

Also, since 2012 has exactly three prime factors, it is considered triprime (or 3-semiprime).

We might not enjoy as many special numerical days this year (like palindrome days or permutation days), but I do look forward to writing 2012 for the next 365 days!

2011: A Prime Year

The year 2011 was quite remarkable, numerically speaking at the very least.  Here are some interesting facts about the number 2011.

First and foremost, 2011 is prime.  The last prime-numbered year was 2003 and the next will be 2017 (thank you WolframAlpha!).

What is more interesting is that 2011 is a prime that is the sum of eleven consecutive prime numbers!  This was first pointed out by @mathematicsprof.

Afterwards, it was pointed out by @republicofmath that 2011 is expressible as another sum of consecutive primes!

When will we see such a numerically interesting year again?

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