Linear Algebra - Distance Learning

Please keep an eye on your email for updates and messages from me.

Use the links below as needed to access materials and videos for your class. Much of the content from the end of Chapter 4 through Chapter 8 was organized and prepared during school closure in Spring 2020. Also, some older links may not be available because of the Fall 2019 server shutdown.

 

Course Description (from SDSU General Catalog): Math 254. Introduction to Linear Algebra. 3 units. Prerequisite: Mathematics 151*. Matrix algebra, Gaussian elimination, determinants, vector spaces, linear transformations, orthogonality, eigenvalues, and eigenvectors. *At TPHS, students take Math 252/Calculus D before or concurrently with Math 254/Linear Algebra.


General Information 


Chapters 1, 2, 3
Systems of Linear Equations and Matrices, Determinants, Vectors in 2-Space and 3-Space

 


Chapter 4 -- Euclidean Vector Spaces

 


Chapter 5 -- General Vector Spaces 

Most of the below videos, links, and materials were prepared in Spring 2020 for asynchronous distance learning.

 


Chapter 6 -- Inner Product Spaces

Most of the below videos, links, and materials were prepared in Spring 2020 for asynchronous distance learning.

 


Chapter 7 -- Eigenvalues & Eigenvectors

Most of the below videos, links, and materials were prepared in Spring 2020 for asynchronous distance learning.

 


Chapter 8 -- Linear Transformations

Most of the below videos, links, and materials were prepared in Spring 2020 for asynchronous distance learning.

 


Additional Support

In Spring 2020 I put together this list of video links as additional resources for my students. At the time we focused primarily on Chapters 4 through 8, however these channels should have good support for earlier concepts too.

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Additional Notes
(Original links...Keeping here for my reference)


The above course notes, assignments, and quizzes are for the Linear Algebra (SDSU Math 254) classes I teach at Torrey Pines High School. I wrote and modified these files over several semesters. Much of the work is my own; however, I borrowed several examples and diagrams from the textbooks* my classes used while I taught the course. These notes, assignments, and quizzes are free for use by my current and former students. If other Linear Algebra students and teachers find these notes useful, I would be happy to know that my work was helpful. - Abby Brown

*Elementary Linear Algebra, 8th edition, Howard Anton, ©2000 John Wiley & Sons, Inc., ISBN 0-471-17055-0. (Chapter, section, page, and formula numbers refer to this text.)

*Elementary Linear Algebra: Student Solutions Manual, 8th edition, Elizabeth M. Grobe and Charles A. Grobe, Jr., ©2000 John Wiley & Sons, Inc., ISBN 0-471-38249-3.

*And a few additional Linear Algebra textbooks that I own or borrowed from friends.


Most of the links are PDF files that can be read with Adobe Reader. If you have trouble downloading the files, try right-clicking and selecting "Save Target As..." If you have trouble printing, try printing five or so pages at a time rather than all at once. For best results, use the most current version of Adobe Reader.


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