This course is an introduction to the tools and techniques of linear algebra. Topics studied include vectors and matrices, vector spaces and dimension, determinants, eigenvalues, matrix factorization, and applications to graphs, dynamics, and probability. Where appropriate, students will use scientific computation tools to enrich their understanding of the concepts studied and to handle massive datasets. Proofs are an essential component of the class. This course appeals to those students intending to major in a field involving significant post-calculus mathematics, though any student with an interest in mathematics for its own sake will be well-served. This course will be offered in alternate years, beginning in the 2021-2022 school year. Students will need to have demonstrated significant mathematical maturity and a willingness to confront abstraction.
Students are required to complete a summer assignment in preparation for this class, which may vary depending on their background. In particular, senior IB Diploma Candidates taking this class in lieu of HL Mathematics Analysis and Approaches will need to complete an assignment particular to that content.
Open to Seniors.
This course is offered 2021-2022 and alternate years.