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
Book of Proofs This book is an introduction to the standard methods of proving mathematical theorems. It has been approved by the American Institute of Mathematics' Open Textbook Initiative. Also see the Mathematical Association of America Math DL review (of the 1st edition), and the Amazon reviews. The second edition is identical to the first edition, except some mistakes have been corrected, new exercises have been added, and Chapter 13 has been extended. (The Cantor-Bernstein-Schröeder theorem has been added.) The two editions can be used interchangeably, except for the last few pages of Chapter 13. Order a copy from Amazon or Barnes & Noble for $13.75 or download a pdf for free here. Part I: Fundamentals Part II: How to Prove Conditional Statements Part III: More on Proof Part IV: Relations, Functions and Cardinality Thanks to readers around the world who wrote to report mistakes and typos! Instructors: Click here for my page for VCU's MATH 300, a course based on this book.
What does 0^0 (zero raised to the zeroth power) equal? Why do mathematicians and high school teachers disagree Clever student: I know! Now we just plug in x=0, and we see that zero to the zero is one! Cleverer student: No, you’re wrong! which is true since anything times 0 is 0. Cleverest student : That doesn’t work either, because if then is so your third step also involves dividing by zero which isn’t allowed! and see what happens as x>0 gets small. So, since = 1, that means that High School Teacher: Showing that approaches 1 as the positive value x gets arbitrarily close to zero does not prove that . is undefined. does not have a value. Calculus Teacher: For all , we have Hence, That is, as x gets arbitrarily close to (but remains positive), stays at On the other hand, for real numbers y such that , we have that That is, as y gets arbitrarily close to Therefore, we see that the function has a discontinuity at the point . but when we approach (0,0) along the line segment with y=0 and x>0 we get Therefore, the value of is going to depend on the direction that we take the limit. that will make the function ! . as is whatever
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
Bac à Maths Math Monday: Hula Hoop Geometry, Part 1 By Glen Whitney for the Museum of Mathematics Math Mondays have so far featured a wide array of different items from which one can make a tremendous variety of geometric constructions, but there has not yet been one on hula hoops. This week and next we’ll remedy that oversight. Also, the postings so far have almost entirely shown the constructions as fait accompli, so this series will also try to give a bit of insight into the process of devising a new creation. First, why hula hoops? They’re a pretty cheap source of large, pre-made circles, generally decently symmetric and strong. Assignment: can you do the same thing with six hula hoops? For a recent event, MoMath wanted a large-scale public construction activity, so based on our success with hula hoops to date, designer Tim Nissen envisioned a gigantic pyramid of hoops — here’s the initial conception: We even managed to combine four of the order-1 units into an order-2 tetrahedron pretty nicely: To be continued… Gareth Branwyn Related
Ask a Mathematician / Ask a Physicist | Your Math and Physics Questions Answered Matlet Una raccolta scelta e assistita di programmini, denominati applets, da usare online. Per permetterci di migliorare la nostra offerta, chiediamo cortesemente ai docenti di rispondere online al nostro brevissimo questionario di valutazione. Gli applets sono stati sviluppati dal “Freudenthal Institut Researchgroup in Mathematics education” di Utrecht, in Olanda nel corso di parecchi anni di ricerca e di sperimentazione. Ora alcuni di questi Applets sono messi a disposizione delle Scuole svizzere grazie alla disponibilità dell’Istituto olandese e al progetto comune sviluppato dal Centro didattico del cantone Ticino, dal Fritic del canton Friborgo e da ICT Basler Schulen del canton Basilea. Ogni programmino è accompagnato da una breve descrizione e da una scheda didattica dettagliata. Gli applets sono scritti nel linguaggio di programmazione Java. 60 APPLETS ORDINATI PER ARGOMENTO Numeri / Stima / Operazioni Equazioni Algebra / Calcoli Algebra geometrica Geometria
Récréomath Site de mathématiques récréatives