This is
the website for MATH 672, Vector spaces, for the Fall 2013
semester. Scroll down for any materials that might be
needed and/or useful for this course
Important data to keep in mind:
Important data to keep in mind:
- Lectures are MWF 1:25pm-2:15pm, at Purnell Hall 324B
- Instructor: Francisco-Javier Sayas (here's my website)
- Office hours to be announced
- Textbook. A (Terse)
Introduction to Linear Algebra, by Katznelson &
Katznelson. (AMS). We will cover Chapters 1 through 7.
Philosophy
This class is reading-and-writing intensive. You'll be asked to read carefully different sections of the book. In class, we'll be working on problems and clarifying concepts, but you will not be getting clean classnotes to work with. (The textbook is where to study from.)
Precision and full rigor in presentation of the proofs is expected of all the students. Most of the problems will be about concepts and proofs, and there'll be very few exercises carrying a lot of computation. For training purposes, you'll be asked to memorize one particular item (most often a proof).
Some additional materials can be found in here.
Materials
This class is reading-and-writing intensive. You'll be asked to read carefully different sections of the book. In class, we'll be working on problems and clarifying concepts, but you will not be getting clean classnotes to work with. (The textbook is where to study from.)
Precision and full rigor in presentation of the proofs is expected of all the students. Most of the problems will be about concepts and proofs, and there'll be very few exercises carrying a lot of computation. For training purposes, you'll be asked to memorize one particular item (most often a proof).
Some additional materials can be found in here.
Materials
- Review of basic linear algebra: Linear algebra done wrong, by Sergei Treil. Download here.
- Slides of the first day. Click here
- Solutions to both parts of Midterm 2
- Notes on the Jordan canonical form
- Solutions to Quiz 8
- Solutions to both parts of the final (there might be a lot of typos)
- All
the exams (not solved)