Linear Algebra

Girls-Only & ​All-Gender Course; Prerequisite - Completion of AP® Calculus AB or equivalent; 
​Full-year course
COURSE DESCRIPTION
Through a wide variety of practical problems, conceptual questions, and visualizations, students learn how to think about vectors, the spaces in which vectors live, and linear mappings between those spaces. They develop powerful new ways of thinking mathematically and apply their new skills to solve a wide variety of problems from other fields, including computer graphics, economics, and population biology. This year-long course covers a typical one-semester college linear algebra curriculum, including matrix algebra, vector spaces, eigenvalues and eigenvectors, and applications to differential equations. Linear algebra is a required and very useful subject in college for many science and engineering majors, and it can be studied either before or after multivariable calculus. It’s a great fit for the student who has completed AP® Calculus AB or BC, who is passionate about a challenge to think in new ways, and who wants to see math applied to the real world.
WHAT STUDENTS SAY

"The inclusion of proofs has made me have to think more about logic, which is great. Also, the course regularly challenges me to move between thinking geometrically and algebraically."

“Dr. Braun is amazing. She does not hesitate to reach out to us when we need her help and her video sessions really helped me a lot in understanding the difficult concepts involved in this course.”

"I really appreciate my teacher, Dr. Braun, for having been done everything for me. She has made linear algebra, which I first thought very difficult, easier for me to understand, not just algebraically but also geometrically. Learning this course is one of my favorite classes."

WHAT STUDENTS DO
Learning is an active process at One Schoolhouse. Students design, create and apply. And, they engage with classmates and connect with their teachers through discussions, video conferences, and projects. Specifically, in this class students will:
  • Set goals that drive their learning. Students reflect regularly on their growth, and meet on video chat with their online teacher to review progress towards their goals.
  • Have choice in how they learn new content and practice new skills. Students are given agency to determine the best ways for them to learn.
  • Apply what they are learning to the real world. Learning is meaningful and connects to concepts outside the classroom.
  • Practice constructive engagement in a diverse and changing world. Students interact with classmates from across the country and around the world.
  • Gain academic maturity. Online learning takes greater discipline and independence than a traditional face-to-face classroom. Teachers support students to build this skill.
MEET A TEACHER FOR THIS COURSE
SIGNATURE ACTIVITIES
Examples of signature activities and projects for this course are:
  • Applet Activities: Explore major topics in linear algebra by manipulating 3D visualizations.
  • Small-Group Discussions: Work together in a small group to answer conceptual questions.
  • Interview Project: Research a field that uses linear algebra and interview someone who works in that field.​
COURSE APPROVAL
This course is approved by the NCAA. 

One Schoolhouse is fully accredited with the Middle States Association of Colleges and Schools and the Western Association of Schools and Colleges through December 1, 2025; we are an approved online publisher for the University of California. 
Carol Braun
Mathematics Teacher
BA & BS Valparaiso University
MS & PhD Northwestern University