{"id":7716,"date":"2012-12-18T16:25:58","date_gmt":"2012-12-18T08:25:58","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=7716"},"modified":"2019-07-07T14:39:02","modified_gmt":"2019-07-07T06:39:02","slug":"intmath-newsletter-fourier-interactive-2012-summary","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/letters\/intmath-newsletter-fourier-interactive-2012-summary-7716","title":{"rendered":"IntMath Newsletter: Fourier interactive, 2012 summary"},"content":{"rendered":"

18 Dec 2012<\/p>\n

In this Newsletter:<\/p>\n

1. New interactive: Fourier Series
\n 2. Christmas
\n3. Most popular articles of 2012
\n4. Looking ahead - 2013
\n5. Math puzzles
\n6. Friday math movie: The Mathematics of History
\n7. Final thought - treating others <\/p>\n

This is the last IntMath Newsletter for 2012. It's a bumper issue with lots of (hopefully) interesting reading. <\/p>\n

1. New interactive: Fourier Series<\/h2>\n\n\n\n
\"Fourier<\/a><\/td>\n\n

Here's an interactive graph that allows you to explore the concepts behind the Fourier Series.<\/p>\n

Fourier Series interactive graph <\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

2. Christmas<\/h2>\n

(a) An engineer's view of Santa Claus <\/b><\/p>\n\n\n\n
\"Santa's<\/a><\/td>\n\n

Here's a fun mathematical analysis of Santa's frantic dash around the world every Christmas Eve.<\/p>\n

An engineer's view of Santa Claus<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

(b) 12 Days of Christmas<\/b><\/p>\n

Each year at this time, my article The Twelve Days of Christmas – How Many Presents?<\/a> has many readers. <\/p>\n

3. Most popular articles of 2012<\/h2>\n

One of the joys of writing a newsletter is getting a lot of appreciative feedback. Another is to see which articles you enjoyed the most, and to use this information to plan future Newsletters.<\/p>\n

Here are the most popular IntMath Newsletter items during 2012 (based on traffic). <\/p>\n

Resources & math articles <\/h4>\n
    \n
  1. Free Textbooks in Mathematics (no longer available)<\/li>\n
  2. Modelling Fish Stocks<\/a> <\/li>\n
  3. Absolute value of a complex number<\/a><\/li>\n
  4. Today is e-day<\/a> <\/li>\n
  5. Wolfram Education Portal <\/a> <\/li>\n
  6. Desmos Graphing Calculator<\/a> <\/li>\n<\/ol>\n

    Interactives<\/h4>\n
      \n
    1. Interactive Ellipse Graphs<\/a> <\/li>\n
    2. Radius of Curvature interactive graph<\/a> <\/li>\n
    3. Conic Sections 3-D interactive<\/a> <\/li>\n
    4. Differentiation interactive graphs<\/a><\/li>\n
    5. Biorhythm graphs<\/a> <\/li>\n<\/ol>\n

      Videos<\/h4>\n
        \n
      1. Video: How it feels to have a stroke<\/a><\/li>\n
      2. Hans Rosling on Religions and Babies<\/a> <\/li>\n<\/ol>\n

        4. Looking ahead - 2013<\/h2>\n

        Here are a few things coming up for 2013. <\/p>\n

        (a) 2013 is year of Math of Planet Earth <\/b><\/p>\n

        The aim of Mathematics of Planet Earth 2013 is to examine the role mathematical sciences play in the challenges facing our planet and our civilization. As they say: <\/p>\n

        \n

        More than 100 scientific societies, universities, research institutes, and organizations all over the world have banded together to dedicate 2013 as a special year for the Mathematics of Planet Earth.<\/p>\n<\/blockquote>\n

        The site has articles about using mathematical models to eradicate disease, the Equation of Time and How does GPS work? <\/p>\n

        (b) Free online Calculus course starts 7th Jan<\/b><\/p>\n

        Another MOOC (massively online open course) starts 7th January 2013. This time it is an Introduction to Calculus.<\/p>\n

        The instructor is Robert Ghrist from the University of Pennsylvania. I like where they say the course will have "an emphasis on the conceptual over the computational".<\/p>\n

        These MOOCs are quite an experience. The last one I joined was Keith Devlin's course on Mathematical Thinking. There were over 60,000 of us involved in that course. <\/p>\n

        See Calculus: Single Variable<\/a> for more information and to sign up. <\/p>\n

        5. Math puzzles<\/h2>\n

        Answer for last puzzle: <\/strong>The puzzle in the last IntMath Newsletter<\/a> concerned adding fractions. The correct answer was 2475. Those who were correct and showed correct working<\/a> were: Miguel, John Cherpak, Colin Fraser, Devanie, Thomas A. Buckley, Yeoh Kiat Boon, Guido, Nicos, Tomas, Vasu, Arun, Tom Barrett, Rosa, Ronak (who also included a C program routine), Dineth, and Lachezar. <\/p>\n

        New puzzle: <\/strong>If n<\/em> is an even positive integer, how many positive integer solutions are there for 2x + y + z = n<\/em>? (Express your answer in terms of n<\/em>). <\/p>\n

        Leave your responses here<\/a>.<\/p>\n

        6. Friday math movie: The mathematics of history<\/h2>\n\n\n\n
        \"Math<\/a><\/td>\n\n

        What's the connection between verbs, math and hip hop?<\/p>\n

        Friday math movie: The mathematics of history<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

        7. Final thought - Treating others <\/h2>\n

        It's that time when many of us reflect on the past year, and make plans (and resolutions) for the coming one.<\/p>\n

        The final thought for 2012 is quite global, but can also relate to math learning and the instructor-learner relationship. It's also a good thing to keep in mind for all the interactions we have with those around us. <\/p>\n

        Each major religion has some suggestions on how we should treat others, known generally as the Golden Rule. <\/p>\n

        \n

        Buddhism:<\/strong> "Hurt not others with that which pains yourself."<\/p>\n

        Judaism & Christianity:<\/strong> "You shall love your neighbor as yourself."<\/p>\n

        Islam: <\/strong>"As you would have people do to you, do to them; and what you dislike to be done to you, don't do to them."<\/p>\n

        Hinduism:<\/strong> "One should always treat others as they themselves wish to be treated."<\/p>\n

        Sikhism:<\/b> Recognize all of mankind as a single caste of humanity and accept all humans as your equals.<\/p>\n

        Zoroastrianism:<\/strong> "Whatever is disagreeable to yourself, do not do unto others."<\/p>\n

        Confucianism:<\/strong> "What you do not want done to yourself, do not do to others."<\/p>\n<\/blockquote>\n

        In summary, "Treat people the way you'd like to be treated". <\/p>\n

        The IntMath Newsletter will return in mid-Januray. Enjoy your Christmas and\/or New Year holiday season. <\/p>\n

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

        See the 18 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"

        In this Newsletter:<\/p>\n

        1. New interactive: Fourier Series
        \n2. Christmas
        \n3. Most popular articles of 2012
        \n4. Looking ahead - 2013
        \n5. Math puzzles
        \n6. Friday math movie: The Mathematics of History
        \n7. Final thought - treating others <\/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":[],"_links":{"self":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/7716"}],"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=7716"}],"version-history":[{"count":1,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/7716\/revisions"}],"predecessor-version":[{"id":12038,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/7716\/revisions\/12038"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=7716"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=7716"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=7716"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}