Category: Web 2.0 Technology

Free Whiteboard Software

Resources and Freebies, Teaching Tools, Web 2.0 Technology

If you are using computers during lectures, or fond of screencasting, you would probably need a software where you could scribble.  You would need a blackboard or a whiteboard software. There are several free software that you could use – you could use PaintBrush or Flash Player.

One of my latest internet dig, however, would also be a good choice. It is called  Classic WhiteBoard. It is available in Windows, Linux and Mac platform. Its screenshot is shown below.

What I love about this software is that it is very easy to use (click here to view screencast tutorial) and it really looks like a whiteboard.  It works very much like PaintBrush.  One of the disadvantages, though, is that it has only four colors.

Update: I have uploaded a better whiteboard software added with math tools such as compass, straightedge, triangle and protractor here.

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The Best Free Math Tutorial Website

Resources and Freebies, Web 2.0 Technology

If I were to recommend a free mathematics tutorial website, I would definitely choose the Art of Problem Solving. The Art of Problem Solving is a website where students, teachers, mathematicians and math enthusiasts meet online to discuss problems in mathematics.  Shown below is the screenshot of their home page.

The most popular feature of the the Art of Problem Solving website is Art of Problem Solving Forum. I had a firsthand experience with the Art of Problem Solving Forum when I was still studying. Sometimes, I had to seek help for topics that I did not understand or a problem that I could not solve, and the Art of Problem Solving had really helped me a lot.

The reasons why I chose AOPS over other math help websites are listed below.

  1. Quick Response. When you ask questions in other websites, it would probably take a long time for them to respond. AOPS Forum, on the other hand, has more than 74,000 members as of this writing.  Since there are many members around the world, there is a very good chance that your questions would be answered immediately.
  2. Wide Variety of Topics. AOPS problems ranges from elementary school mathematics to college mathematics.  There are also sections for mathematics competitions such MathCounts, AMC and other well-known contests. College topics include calculus and real analysis, differential geometry, topology and linear algebra and many more.
  3. Latex Support. AOPS supports latex coding unlike other websites. Latex is used to embed mathematical expressions such as c = \sqrt{\displaystyle\frac{a^2 + b^2 + c^2}{3}} \geq \displaystyle\frac{a+b+c}{3} on websites, blogs and wikis. If you do not know about Latex, I have created a Latex tutorial here and here.
  4. Lots of Problems. AOPS has 1, 673, 927 topics (or problem posts) as of this writing. There are also problem solving marathons (click here to see example) where one post contains hundreds of problems.
  5. Own Wiki and Blogs. AOPS has its own wiki mostly contributed by users.  Many users have also registered their blogs in AOPS.
  6. Online Math Classes. AOPS has free online classes called Math Jams where classes are conducted synchronously.
  7. Math Contests Problem Archives. AOPS has archived mathematics competitions around the world. Some of the famous contests such as the International Mathematics Olympiad.

Art of Problem Solving also offers advanced mathematics online classes and they have published several books.

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Free Calculus Ebooks

Resources and Freebies, Web 2.0 Technology

The list below are free Calculus and Analysis Ebooks for Undegraduate and Graduate students. Please report if there are links that are not working.

  1. A Problem Text in Advanced Calculus, by John Erdman
  2. A Summary of Calculus, by Karl Heinz Dovermann
  3. Advanced Calculus and Analysis, by  Ian Craw
  4. Advanced Calculus, by Lynn Loomis and Schlomo Sternberg
  5. Calculus I, Calculus II and Calculus III by  Jerrold Marsden, Alan Weinstein
  6. Calculus I, Calculus II and Calculus III, by Paul Dawkins
  7. Calculus Made Easy by Sylvanus Thompson
  8. Calculus Refresher, by Paul Garrett
  9. Calculus Unlimited by Jerrold E. Marsden, A. Weinstein
  10. Calculus Without Limits, by  John C. Sparks
  11. Calculus Early Transcendentals by David Guichard and Neal Koblitz
  12. Calculus for Beginners and Artists, by Daniel Kleitma
  13. Calculus, Applications and Theory, by Kenneth Kuttler
  14. Calculus, Benjamin Crowell
  15. Calculus, by Gilbert Strang
  16. CK-12 Single Variable Calculus, by R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis
  17. Complex Analysis,  by George Cain
  18. Complex Variables – Complex Analysis,  by  John H. Mathews
  19. Complex Variables by  R. B. Ash, W. P. Novinger
  20. Concepts of Calculus by  Christopher Cooper
  21. Elementary Calculus by Christopher Cooper
  22. Elementary Calculus: An Infinitisimal Approach by Jerome Keisler
  23. Foundations of Infinitesimal Calculus,  K.D. Stroyan
  24. Introduction to Real Analysis, William F. Trench
  25. Multivariable Calculus, by Jim Herod
  26. Multivariable Calculus, by George Cain and James Herod
  27. One Variable Advanced Calculus, by Kenneth Kuttler
  28. Real Functions in One Variable: Calculus 1a, by Leif Mejlbro
  29. Real Functions in One Variable: Examples of Integrals, by Leif Mejlbro
  30. The Calculus Bible, by Gilbert Strang
  31. The Calculus of Functions of Several Variables, by Dan Sloughter
  32. The Calculus, by William V. Smith
  33. Understanding Calculus, by Faraz Hussain
  34. Vector Calculus, by Michael Corral
  35. Yet Another Calculus Text, by Dan Sloughter

You may also want to check my Free Algebra Ebooks post.

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