On October 31, 2014 Dr. Autar Kaw, professor of mechanical engineering at the University of South Florida, simultaneously released all of the resources needed to complete the online, university level course Introduction to Matrix Algebra.” As an OpenCourseWare (OCW), the course is free and open to all users.

The courseware includes:

  • 150 YouTube video lectures (approximately 14 viewing hours) with transcripts
  • 10 textbook chapters, presented in both PDF and DOC formats
  • 10 online multiple-choice quizzes with complete solutions
  • 10 problem sets
  • 10 PowerPoint presentations
  • 6 applied problems in engineering and science

and covers the following topics:

  • Chapter 1: Introduction
  • Chapter 2: Vectors
  • Chapter 3: Binary Matrix Operations
  • Chapter 4: Unary Matrix Operations
  • Chapter 5: System of Equations
  • Chapter 6: Gaussian Elimination Method
  • Chapter 7: LU Decomposition
  • Chapter 8: Gauss-Seidel Method
  • Chapter 9: Adequacy of Solutions
  • Chapter 10: Eigenvalues and Eigenvectors

Introduction to Matrix Algebra is not the first OCW delivered by Kaw.  It follows the 2009 release of the OCW titled Holistic Numerical Methods,” which receives more than a million page views annually.  The associated YouTube lectures received more than 900,000 views last year, and the “Numerical Methods Guy” blog now receives 150,000 annual visitors.

Kaw, along with his colleagues from around the nation, have been developing, implementing, refining and assessing these online resources since 2002.  They are funded in part by the National Science Foundation, and, to date, have received four NSF grants totaling more than $1.5 million.

For questions or more information, please contact Dr. Autar Kaw.