{"id":5656,"date":"2011-02-09T19:44:10","date_gmt":"2011-02-09T11:44:10","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=5656"},"modified":"2014-06-19T11:11:45","modified_gmt":"2014-06-19T03:11:45","slug":"intmath-newsletter-e-day-funny-graphs-risk-and-matrices","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-e-day-funny-graphs-risk-and-matrices-5656","title":{"rendered":"IntMath Newsletter - e Day, funny graphs, risk and matrices"},"content":{"rendered":"

9 Feb 2011 <\/p>\n

In this Newsletter:<\/p>\n

1. Math tip: Happy "e" Day
\n2. Funny graphs - from GraphJam
\n3. Math tip: Multiplying matrices
\n4. Friday math movie: Hans Rosling's 200 Countries, 200 Years, 4 Minutes
\n5. Math tip: Determining economic risk - Black Scholes formula
\n6. Friday math movie: Doodling in math class - binary trees
\n7. Final thought: Security<\/p>\n

Hi everyone. Here's hoping the Year of the Rabbit is a prosperous one for you all - in both learning and living!<\/p>\n

(Actually, there is some interesting math associated with rabbits, like Fibonacci's Sequence and differential equations).<\/p>\n

On with the Newsletter! <\/p>\n

1. Happy "e<\/em>" Day<\/h2>\n

We celebrate "e<\/em>" day this week, on 7th February (since e<\/em> = 2.718281828459...).<\/span> The number "e<\/em>" is very special in math, in a similar way that "pi" is special. <\/p>\n

One of the most amazing equations involving e<\/em> is Euler's Formula:<\/p>\n

\n

eix<\/sup><\/em> = cos x<\/em> + i<\/em> sin x<\/em>, where i<\/em> = √(−1)<\/span> <\/p>\n<\/blockquote>\n

This formula makes the connection between the exponential function, trigonometry and the imaginary unit. (See Polar form of a Complex Number<\/a>.)<\/p>\n

In the special case when x<\/em> = π,<\/span> we get<\/p>\n

\n

e<\/em>i<\/em>π<\/sup> + 1 = 0<\/span><\/p>\n<\/blockquote>\n

This profound formula connects the numbers e<\/em>, i<\/em>, π, 1 and 0,<\/span> with the fundamental operations plus (+) and equals (=).<\/p>\n

You can read more about "e<\/em>" here: Exponential and Logarithmic Functions<\/a>. <\/p>\n

2. Funny graphs - from GraphJam<\/h2>\n

Suitable for: <\/strong>Everyone.<\/p>\n\n\n\n
\"Funny<\/a><\/td>\n\n

This is fun - our lives in graphs.<\/p>\n

Funny graphs - from GraphJam<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

3. Multiplying matrices<\/h2>\n

Suitable for: <\/strong>Everyone. Even if you haven't studied matrices yet, this will give you a good overview of what they are and how to multiply them. <\/p>\n\n\n\n
\"Multiplying<\/a><\/td>\n\n

This article points to 2 intereactives that show how to multiply matrices.<\/p>\n

Multiplying matrices<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

4. Friday math movie: Hans Rosling's 200 Countries, 200 Years, 4 Minutes<\/h2>\n

Suitable for: <\/strong>Everyone.<\/p>\n\n\n\n
\"hans-rosling-200years\"<\/a><\/td>\n\n

Here's a fascinating animation of wealth trends over the last 200 years.<\/p>\n

Friday math movie: Hans Rosling's 200 Countries, 200 Years, 4 Minutes<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

5. Determining economic risk - Black Scholes formula<\/h2>\n

Suitable for: <\/strong>Those who want to see an important application of math. There are many strands of math in this article (logarithms, calculus, statistics, probability). <\/p>\n\n\n\n
\"Determining<\/a><\/td>\n\n

The Black Scholes Model is one of the many formulas used by the mathematical financial wizards to price options. How does it work?<\/p>\n

Determining economic risk - Black Scholes formula<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

6. Friday math movie: Doodling in math class - binary trees<\/h2>\n

Suitable for: <\/strong>Everyone.<\/p>\n\n\n\n
\"di-hart-math-doodles\"<\/a><\/td>\n\n

Bored in your math class? Here's some doodles that may make it more interesting, from Di Hart.<\/p>\n

Friday math movie: Doodling in math class - binary trees<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

7. Final thought \u2013 security<\/h2>\n

This quote comes from the highly successful industrialist, Henry Ford. He made a vast fortune from mass-producing motor vehicles. <\/p>\n

\n

If money is your hope for independence you will never have it. The only real security that a man will have in this world is a reserve of knowledge, experience, and ability.<\/p>\n

Henry Ford <\/p>\n<\/blockquote>\n

Until next time, enjoy whatever you learn. <\/p>\n

See the 4 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"

In this Newsletter:<\/p>\n

1. Math tip: Happy "e" Day
\n2. Funny graphs - from GraphJam
\n3. Math tip: Multiplying matrices
\n4. Friday math movie: Hans Rosling's 200 Countries, 200 Years, 4 Minutes
\n5. Math tip: Determining economic risk - Black Scholes formula
\n6. Friday math movie: Doodling in math class - binary trees
\n7. Final thought \u2013 security<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mo_disable_npp":""},"categories":[104],"tags":[134],"_links":{"self":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/5656"}],"collection":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/comments?post=5656"}],"version-history":[{"count":0,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/5656\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=5656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=5656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=5656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}