Exploring Multivariable Calculus
And then relaunch Chrome. Instructors: If you are an instructor using this project in any way, please send me an email to let me know of your interest. I would love to see more people using the materials from this project, and it is important that I be able to report how the project is doing to the NSF. I also encourage anyone who is interested in this project to take the time to write something on the discussion board. You will need to become a member to do this, but I am the only one who will see this member information. It is a private website, and membership makes it easier to keep spam from being placed on the discussion board. The following PDF documents give more information about the goals and current state of the project. 9-27-2011 Graph implicit equations in spherical or cylindrical coordinates like rho^2 = -sec(2ϕ) or r^2*theta^2 = r +theta.Implicit surfaces/equations can now be graphed in spherical and cylindrical coordinates as well as in cartesian coordinates. June 29, 2011
Vi Hart: Math Doodling
Remember that video about doodling dragons and fractals and stuff? I finally finished part 2! Here is a magnet link so you can dowload it via torrent. Here it is on YouTube: You can tell I worked on it for a long time over many interruptions (travelling and other stuff), because in order to keep myself from hating what was supposed to be a quick easy part 2, I had to amuse myself with snakes. Here was part 1, via Torrent or YouTube.
gametheory101.com
ANNEE BISSEXTILE
Par Robert Coquidé Règle : Une année est bissextile (elle possède un 29 février) si son millésime est divisible par 4 (ex: 1904 1980 1996), mais pas par 100 (ex: 1900), à moins qu'il soit divisible par 400 (ex: 2000), sauf s'il est divisible par 4000 (ex: 4000 8000 12000 ). C'est ce qui justifie que le calendrier distribué par notre charmante postière ne comportait pas de 29 février 1995 (non divisibilité par 4), mais fournissait (sans supplément de prix) un 29 février 1996 (divisibilité par 4). Si vous avez la chance de pouvoir interroger votre arrière-grand-mère (et si la mémoire lui revient!) Regardez le calendrier 2000 que vient de distribuer notre postière préférée! Comme 1900, les années 2100 2200 2300 (divisibilité par 4 et par 100) ne seront pas bissextiles. L'an 4000 (d'un intérêt très limité, sauf, peut-être, pour les plus optimistes d'entre nous!) Les hommes (et les femmes!) Pour simplifier (Mais si! Une année est égale à 12 lunaisons plus 10,875 jours. "Môôoi ?!? bis 1900
Math Learning Disabilities
While children with disorders in mathematics are specifically included under the definition of Learning Disabilities, seldom do math learning difficulties cause children to be referred for evaluation. In many school systems, special education services are provided almost exclusively on the basis of children’s reading disabilities. Even after being identified as learning disabled (LD), few children are provided substantive assessmentAssessment is a broad term used to describe the gathering of information about student performance in a particular area. See also formative assessment and summative assessment. and remediation of their arithmetic difficulties. This relative neglect might lead parents and teachers to believe that arithmetic learning problems are not very common, or perhaps not very serious. Different types of math learning problems As with students’ reading disabilities, when math difficulties are present, they range from mild to severe. Mastering basic number facts In summary
Weierstrass functions
Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere". Here is an example of one: It is not hard to show that this series converges for all x. Here's a graph of the function. You can see it's pretty bumpy. Below is an animation, zooming into the graph at x=1. Wikipedia and MathWorld both have informative entries on Weierstrass functions. back to Dr.
Ask a Mathematician / Ask a Physicist | Your Math and Physics Questions Answered
Golden Ratio
φ The golden ratio (symbol is the Greek letter "phi" shown at left) is a special number approximately equal to 1.618 It appears many times in geometry, art, architecture and other areas. The Idea Behind It Have a try yourself (use the slider): images/golden-ratio.js Beauty This rectangle has been made using the Golden Ratio, Looks like a typical frame for a painting, doesn't it? Some artists and architects believe the Golden Ratio makes the most pleasing and beautiful shape. Do you think it is the "most pleasing rectangle"? Maybe you do or don't, that is up to you! Many buildings and artworks have the Golden Ratio in them, such as the Parthenon in Greece, but it is not really known if it was designed that way. The Actual Value The Golden Ratio is equal to: 1.61803398874989484820... The digits just keep on going, with no pattern. Formula We saw above that the Golden Ratio has this property: ab = a + ba We can split the right-hand fraction then do substitutions like this: ab = aa + ba ↓ ↓ ↓ φ = 1 + 1φ
