Gregory V. Bard
                          Associate Professor of Mathematics
     ____________________________________________________________________________

        Preserving the look-and-feel of the World Wide Web as it was, in 1998.
     ____________________________________________________________________________

   [1]Home... [2]Cryptograms... Sage-Related Stuff... [3]Fractal Broccoli... [4]Cost
   of Skipping Class...
   Biography... [5]Finite Math... [6]LaTeX Help... [7]Mandelbrot Set... [8]Books
   I've Written...
   [9]Publications... [10]Courses Taught... [11]Favorite Quotes... [12]Interactive
   Apps... [13]Global Hits Tracker...
     ____________________________________________________________________________

    : : : : : : : Looking to download Sage for Undergraduates for free? [14](click
                                  here) : : : : : : :
     ____________________________________________________________________________

                                  Sage-Related Stuff
     ____________________________________________________________________________

                       (Scroll down for lots of cool resources.)
     ____________________________________________________________________________

   What is Sage?

   SageMath (or Sage for short) is the free, open-source competitor to Maple,
   Mathematica, Magma, and Matlab. It is a computer-algebra system ideally suited to
   students of mathematics, and all other STEM fields, vastly more sophisticated and
   advanced than any graphing calculator. Moreover, Sage is based on the popular
   programming language Python. That means if you use Sage in a mathematics,
   statistics, physics, or data-science class, you will learn Python along the way.
   Lots of other STEM fields are using Sage too, such as chemistry and geology.

   There are four really great ways to use SageMath:
     * [15]SageMathCell --- this is perfect for simple tasks requiring 1 to 10 lines
       of SageMath code. I use this all the time when teaching Math-154: Calculus ii
       at UW Stout.
     * [16]CoCalc.com --- this is an awesome many-featured system, that was once
       called SageMathCloud.com. You can collaborate with others, have chats that
       can include mathematical formulas, add/remove collaborators, and publish your
       work to the web. Moreover, you have access to every version of every file,
       unlike a typical jupyter notebook. You can use many languages, such as
       Python, R, Octave, Java, C++, C, and even FORTRAN, in addition to SageMath,
       plus all the major Python libraries, like NumPy, SciPy and SymPy. There is
       even a full course-management system for those who teach online.
     * [17]A local installation --- not recommended for beginners, this can be great
       for those who do not have reliable access to a high-speed internet
       connection. Most Sage users access Sage via the internet. There is almost
       never any reason to do a local install of Sage on your laptop or home
       computer. The exception is if you have limited or no internet connectivity,
       such as in rural areas. This is good news, because it saves a lot of
       headaches and hassles (especially for students), that you would have to
       suffer if you were using Mathematica, Maple, Matlab, or Magma.
     * Interacts (sometimes called interactive webpages, applets, apps, or
       interactive figures) are a really fun way to demonstrate a complicated math
       topic. A large repository of them (made by the Sage community) can be found
       by [18]clicking here, and I've made a few myself, which you can find by
       [19]clicking here. For using the interacts, NO KNOWLEDGE of Sage whatsoever
       is required! However, making your own interacts is neither too difficult nor
       very easy, and is covered in Chapter 6 of my book, Sage for Undergraduates.
       You can download that book for free, using the rainbow link at the top of
       this webpage.
     * The commands used are the same in all cases, because that's the SageMath
       part, the computational engine at the heart of the system. Even better,
       SageMath is based off Python, so students naturally become good Python
       programmers while using Sage, instead of learning a proprietary language when
       using Maple, Mathematica, MATLAB, or Magma.

   Sage is great for calculus, differential equations, linear algebra, data science,
   abstract algebra, discrete mathematics, graph theory, physics, numerical
   computing, machine learning, and many other courses. Sage also includes a full
   copy of R for those who use statistics or those who want to learn data science,
   and other open-source systems like Maxima, Pari, and GAP.
     ____________________________________________________________________________

   Resources for Sage

   Here are some of my favorite resources for Sage. However, this page is woefully
   incomplete. [20]The Sage community involves hundreds of developers and thousands
   of contributors world wide.
     * Here are some links for my book Sage for Undergraduates, published by The
       [21]American Mathematical Society in February of 2015.
          + Graciously, the AMS has permitted me to place a pdf file of the book on
            my webpage.
          + Here is a link [22]to the black-and-white version.
          + Here is a link [23]to the color version.
          + The online electronic appendix covers plotting in color, complex
            functions, and 3D graphics. Those subjects are not suited to a
            black-and-white book, and therefore cannot be printed inside the book
            itself. [Rough Draft] [24]Click here.
          + Chapter 6 of the book teaches the reader how to make their own
            interactive webpages or applets. To save readers from having to retype
            my code into their computers, I promised a [25]zip-file with some source
            code of the examples used.
          + An index for the Sage for Undergraduates book is available as a pdf
            file. Compiled by Tahnee Cooper of Rockhurst University, [26]this PDF
            index, when printed out, can be trimmed with scissors and tucks nicely
            into the back cover as a handy reference.
     * The book [27]Calcul mathematique avec Sage was only available in French until
       the middle of 2018, when a translation into English was released. I have
       enjoyed consulting this book frequently over the years, but I'm glad that it
       is now available in English, because very few of my students have studied
       French. In some ways, this book can serve as a sequel to my own. The
       translation is Computational Mathematics with SageMath. [28](click here to
       download)
     * There is a tutorial for Sage, by Prof Michael E. O'Sullivan (at San Diego
       State University in California). This is an excellent entry-point for
       faculty, PhD-students in mathematics, and senior math majors about using Sage
       for all sorts of problems. [29](click here)
     * Here is a [30]large collection of quick-reference cards for Sage, by various
       people, for various branches of mathematics, in many languages. Personally, I
       think having a printed quick-reference card out next to the laptop while
       using Sage is really handy. :-)
     * Aimed at students in Calculus 1, Prof Hieu Nguyen (at Rowan University in New
       Jersey) has made a guide for his students, SageMath Advice for Calculus.
       However, I think it is also very useful for Calculus 1 instructors.
       [31](click here to download)
     * For matrices and linear algebra, Prof Robert Beezer (at the University of
       Puget Sound) has written an excellent textbook that uses Sage examples
       throughout. The book, A First Course in Linear Algebra also teaches the
       writing of proofs. Even if you're using a different textbook, you can steal
       all the Sage examples. Best of all, the book is free in electronic form.
       [32](click here to download)
     * In any case, the directions for a local install can be found by [33]clicking
       here.
     ____________________________________________________________________________

   Videos about Sage
     * Here is a [34]series of videos/screencasts introducing Sage. They are made by
       William Stein, the founder of Sage.
     * Here are some videos that I've made to introduce my students to the basics of
       using Sage with its most simple interface, the [35]SageMathCell Server. (All
       are less than five minutes.)

     * [36]Part One covers functions, derivatives, integrals, and 2D plotting.
     * [37]Part Two covers factoring, 3D plotting, gradients, and symbolic solving.
     * After watching both videos (or even without them) you'd find it very easy to
       just dive on into Chapter 1 of my book, linked above.
     * Here is a [38]video for how to find the Reduced Row Echelon Form (RREF) of a
       matrix. For example, you might do this to solve a linear system of equations.
     * For solving Linear Programming Problems (i.e. maximizing or minimizing a
       many-variable linear function subject to several multivariate linear
       inequalities), I have three videos:
          + [39]Part One---A Maximization Problem.
          + [40]Part Two---A Minimization Problem.
          + [41]Part Three---The Feasible Polyhedron of a 3-variable LP.

     More are coming soon!!
     ____________________________________________________________________________

                            Last updated August 8th, 2018.
                                       [42]Stats

References

   1. http://gregorybard.com/home.html
   2. http://gregorybard.com/cryptogram.html
   3. http://gregorybard.com/broccoli.html
   4. http://gregorybard.com/cost.html
   5. http://gregorybard.com/finite.html
   6. http://gregorybard.com/howtolatex.html
   7. http://gregorybard.com/Mandelbrot.third_try.jpg
   8. http://gregorybard.com/books.html
   9. http://gregorybard.com/publications.html
  10. http://gregorybard.com/teaching.html
  11. http://gregorybard.com/quotes.html
  12. http://gregorybard.com/interacts.html
  13. http://gregorybard.com/global.html
  14. http://gregorybard.com/sage_for_undergraduates_color.pdf.zip
  15. https://sagecell.sagemath.org/
  16. https://www.cocalc.com/
  17. http://doc.sagemath.org/html/en/installation/binary.html
  18. https://wiki.sagemath.org/interact
  19. http://gregorybard.com/interacts.html
  20. http://www.sagemath.org/
  21. http://www.ams.org/
  22. http://gregorybard.com/sage_for_undergraduates_bw.pdf.zip
  23. http://gregorybard.com/sage_for_undergraduates_color.pdf.zip
  24. http://gregorybard.com/papers/appendices.pdf
  25. http://gregorybard.com/applet_examples_preliminary.zip
  26. http://gregorybard.com/papers/SageIndex.pdf
  27. http://sagebook.gforge.inria.fr/
  28. http://sagebook.gforge.inria.fr/english.html
  29. https://mosullivan.sdsu.edu/sagetutorial/index.html
  30. http://wiki.sagemath.org/quickref
  31. http://users.rowan.edu/~nguyen/sage/SageMathAdviceforCalculus.pdf
  32. http://linear.ups.edu/
  33. http://doc.sagemath.org/html/en/installation/index.html
  34. http://www.sagemath.org/help-video.html
  35. http://sagecell.sagemath.org/
  36. http://www.gregory-bard.com/videos/Sage_part1.swf
  37. http://www.gregory-bard.com/videos/Sage_part2.swf
  38. http://www.gregory-bard.com/videos/matrix_RREF_good.swf
  39. http://www.gregory-bard.com/videos/linear_programming_good.swf
  40. http://www.gregory-bard.com/videos/more_linear_programming_good.swf
  41. http://www.gregory-bard.com/videos/linear_programming_polyhedron_good.swf
  42. https://www.revolvermaps.com/livestats/0xjq5xz9zq9/