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Linear Algebra with Proofs

This course is intended to serve as an introduction to pure mathematics. We will develop the foundations of linear algebra with a proof-based approach, which will include introducing the notion of a vector space over a field, along with theorems on linear independence and dependence, bases, linear maps, and more. An emphasis will be placed on the logical framework of linear algebra instead of the more computational aspects. Students with an eagerness to engage with a theoretical approach to mathematics will enjoy this course. Problem sets will be assigned, and classes will consist of a mixture of lecture and group work in which students collaboratively work through problems. Students considering a math major in college will benefit from taking this course.

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Session One
at the time of application
Scheduled Class Time*

04:00 PM - 07:00 PM (PDT)

*The course will meet for two hours daily (Monday–Friday) for a live online class during this window of time. The exact time will be set closer to the program start. In addition to the live meeting times, students will engage in out-of-class learning assignments such as assigned readings, group work, pre-recorded online lectures, and more.


Completion of mathematics courses through pre-calculus.