Students in this course learn how to think about vectors, the spaces in which vectors live, and linear mappings between those spaces. They apply those skills to solve a wide variety of practical problems. They develop powerful new ways of thinking mathematically, and gain insight and application skills for fields in which multiple variables interact in ways that can be modeled by systems of linear equations. This yearlong course will cover a typical one-semester college linear algebra curriculum, with topics 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 to tackle problems in the real world.
Prerequisite: Successful completion of AP® Calculus AB or equivalent
Approved by: the NCAA
Course Year: September 2018 - May 2019
"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."
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BA & BS Valparaiso University
MS & PhD Northwestern University
Call Us: 202.618.3637