This is a first course in abstract linear algebra. The first half of the course will focus on vector spaces and the second half will focus on inner product spaces. The course will finish by interpreting the convergence of Fourier series as a statement about projections in an inner product space.
Further material will be uploaded onto this site as the course progresses. For now, the following documents are available:
These notes have been taken by MAS277 students during lectures. They have been put on this site with their permission to
help everyone in the course. On behalf of all of us I would like to thank Jenna Hemsley and all other students who have/will
Lecture 1         Lecture 2        Lecture 3        Lecture 4        Lecture 5        Lecture 6        Lecture 7        Lecture 8        Lecture 9        Lecture 10        Lecture 11
Lecture 12       Lecture 13       Chapter 1 and 2 revision session       Lecture 14         Lecture 15         Lecture 16         Lecture 17         Lecture 18         Lecture 19
The remainder of the student notes will be made available here.