**About the Course**

Many university STEM major programs have reduced the credit hours for a course in Matrix Algebra or have simply dropped the course from their curriculum. The content of Matrix Algebra in many cases is taught just in time where needed. This approach can leave a student with many conceptual holes in the required knowledge of matrix algebra. This course is designed so that a student gains an introductory knowledge of matrix algebra. The topics covered in the course include the following.

**Course Syllabus**

- 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

**Course Format**

The content available for the above topics is in the form of:

The course is self-paced.

**About the Instructor:**

Autar Kaw is a professor of mechanical engineering and Jerome Krivanek Distinguished Teacher at the University of South Florida. He is a recipient of the 2012 U.S. Professor of the Year Award from the Council for Advancement and Support of Education (CASE) and Carnegie Foundation for Advancement of Teaching. Professor Kaw received his BE Honors degree in Mechanical Engineering from Birla Institute of Technology and Science (BITS) India in 1981, and his degrees of Ph.D. in 1987 and M.S. in 1984, both in Engineering Mechanics from Clemson University, SC. He joined University of South Florida in 1987.

Professor Kaw’s main scholarly interests are in engineering education research, open courseware development, bascule bridge design, fracture mechanics, composite materials, computational nanomechanics, and the state and future of higher education.

Since 2002, under Professor Kaw’s leadership and funding from NSF (2002-2016), he and his colleagues from around the nation have developed, implemented, refined and assessed online resources for open courseware in Numerical Methods (http://nm.MathForCollege.com). This courseware annually receives more than a million page views, 900,000 views of the YouTube lectures and 150,000 annual visitors to the “numerical methods guy” blog.

Professor Kaw’s work has appeared in the St. Petersburg Times, Tampa Tribune, Chance, Oracle, and his work has been covered/cited in Chronicle of Higher Education, Inside Higher Education, Congressional Record, ASEE Prism, Tampa Bay Times, Tampa Tribune, Campus Technology, Florida Trend Magazine, WUSF, Bay News 9, Times of India, NSF Discoveries, Voice of America, and Indian Express.

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**COPYRIGHTS**: University of South Florida, 4202 E Fowler Ave ENG030, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based partly upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624, 0836981,0836916, 0836805, 1322586, 1609637, and the Research Experience for Undergraduates program at the College of Engineering at the University of South Florida. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation or the University of South Florida. Other sponsors include Maple, MathCAD, MATLAB, USF, FAMU, ASU, AAMU, and MSOE. Based on a work at Holistic Numerical Methods licensed under an Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)