This course gives a rigorous treatment of linear algebra, plus a scattering of topological topics. In no particular order, we will cover: the construction of number systems; fields, vector spaces and linear transformations; eigenvalues and eigenvectors; determinants and inner products; metric spaces, compactness and connectedness. The plan is to work through Axler's Linear Algebra Done Right, and perhaps begin Spivak's Calculus and Calculus on Manifolds.
There will be three forms of graded work:
Our general policy about late work is strict: we will not permit assignments to be handed in late or exams to be taken on other days without some written mandate from a doctor or the university administration.
Our meeting times for lecture, for office hours, and with the CAs have all been posted below. I will be updating this webpage throughout the semester.
Due November 30th: | problem sheet |
(solutions) | |
Due November 16th: | problem sheet |
(solutions) | |
Due November 9th: | problem sheet |
(solutions) | |
Due November 2nd: | problem sheet |
(solutions) | |
Due October 26th: | problem sheet |
(solutions) | |
Due October 19th: | problem sheet |
(solutions) | |
Due October 12th: | problem sheet |
(solutions) | |
Due October 5th: | problem sheet |
(solutions) | |
Due September 28th: | problem sheet |
(solutions) | |
Due September 21st: | problem sheet |
(solutions) | |
Due September 14th: | problem sheet |
(solutions) |
This is a work in progress.