Some Linear Algebra Resources

Topics

• Maple Math Apps and Maple Player
• Online Linear Algebra courses
• Online Math Quizzes
• Online Demonstrations
• Computer Demonstrations and Exercises
• Student projects in Linear Algebra
• Visualizations #visual]
• Resources

Maple Math Apps and Maple Player

• Clickable Linear Algebra example in Maple
  • video of
    • Gaussian elimination (minutes 12:50 to 18:30)
    • projection (starts at minute 18:30)
• Maple Player description
• Maple Player download
• Linear Algebra Maple Math Apps collection
• Maple Math Apps collection
• Building Interactive Applications with Maple Explore, 40 min
  • Using Embedded Components in Maple, 3 min intro
  • A Guide to Coding Embedded Components, 55 min

Online Courses

• Four University of Waterloo linear algebra courses.

Online Math Quizzes

• University of Waterloo's MapleTA quiz system includes linear algebra courses MATH 106, 114, 115, and 136.

Online Demonstrations

• online Mathematica demos
• MIT Linear Algebra course demos
• Linear algebra toolkit, by P. Bogacki

Computer Demonstrations and Exercises

• ATLAST Computer Exercises for Linear Algebra in MATLAB, 2007
  • MATLAB M files
  • author's text book: Linear Algebra with Applications, by Steven J. Leon

• Transforming Linear Algebra with GeoGebra, JMM 2014 January 17, 2014 James D. Factor, a NSF Project (in progress).
  • GeoGebra files
  • comments at MAA

• LAVA: Linear Algebra Visualization Assistant is a 1999 site of java applets. TEST

Student projects in Linear Algebra

• projects from John Goulet, Department of Mathematics, Worcester Polytechnic Institute, 1993-1997
• projects from Jane Day, Mathematics Department, San José State University
• topics and sample work from Don Hickethier, Science and Mathematics Division, Flathead Valley Community College

Visualizations

• Eigenvectors and Eigenvalues interactive visualization
• Understanding matrices intuitively, a 2 part blog post using graphs to visualize matrix transformations and eigenvectors and eigenvalues

Resources

• Science is complex. Where does linear algebra fit in, and why is it considered indispensable?. Short Q&A with Gilbert Strang by Farooq Ahmed, PNAS vol 108 no.11.4273, 2011.

• When Life is Linear: From Computer Graphics to Bracketology, Tim Chartier, 2015, 140 pages. This is a linear algebra application supplement book from MAA. Look inside.

• My Favorite MAA Articles for Linear Algebra, Jeremy Case Taylor University JMM San Antonio, 2015, 12 page pdf.

• The Fundamental Theorem of Linear Algebra, Gilbert Strang American Mathematical Monthly, Vol. 100, No. 9. (Nov., 1993), pp. 848-855. (pdf)

• The Language of Linear Algebra by Gilbert Strang (4 page pdf):

To express the ideas of linear algebra we need words. To use those words — to speak this subject — is to connect those ideas. Our goal in teaching is mastery of the language, which requires mastery of the words and ideas.

• MAA notes on Linear Algebra topics for teaching. Click on the Linear Algebra link.

• MAA resources for teaching Linear Algebra.

• University of Waterloo Math course descriptions.

• Clicker questions
  • Conceptest Linear Algebra clicker questions, a collection of questions from twenty plus topics.
  • Creating discussions with classroom voting in linear algebra, Kelly Cline et al, International Journal of Mathematical Education in Science and Technology Volume 44, Issue 8, 2013.

• Free online books
  • A First Course in Linear Algebra by Robert A. Beezer, University of Puget Sound, includes embedded SAGE cells in the HTML version of the book allowing execution of linear algebra mathematics in a language like Matlab or Maple.
  • Linear Algebra by Jim Hefferon, Mathematics Department, Saint Michael's College. The text ends each chapter with application topics. % maybe see determinant chapter on motivation ch4 pp314

Paul Kates
Mathematics Faculty CTE Liaison
pkates@uwaterloo.ca, x37047
Last modification date: Tue Mar 8 15:32:31 2016.
url: http://www.math.uwaterloo.ca/~pkates/math/linalg/demo1.html