Linear Algebra

Linear Algebra has applications as diverse as physics, machine learning, and computer and human networks, not to mention other areas of math. In this course, you will learn about the algebra of vector spaces and matrices by looking at how images of objects in the plane and space are transformed in computer graphics. Some paper-and-pencil calculations will be done early in the course, but the computer software package Geogebra (free) will be used to do most of the calculations. No prior experience with this software or linear algebra is necessary.

While learning about the mathematics of transformations and matrices, we’ll also explore applications in cryptography, geometry, and machine learning, wrapping up the semester by looking at the analysis of social networks using linear algebraic techniques. Students will learn how to model social networks using matrices and to discover things about the network with linear algebra as your tool.

Prerequisite: Geometry and Algebra 2 or the equivalents

Students in GOA courses will need reliable access to a computer with webcam/microphone connections, an email address (preferably school-based), a Web-conferencing app (GOA courses use Zoom), and a Word processing app (GOA courses use Google’s G Suite). When necessary, alternative arrangements may be made.

NCAA-approved course

UC-approved course

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