Latest information:
- A useful reference for our discussion on self-adjoint, normal, and unitary operators, along with a primer on singular value decomposition, are chapters 6 and 7 of "Linear Algebra Done Right," by S. Axler (available here). Although the notation differs slightly from ours, the text is a very elegant and readable survey of the topics we cover.
- Brin and Page's original articles on PageRank are available here and here. A discussion on the convergence rate of PageRank using a bound on the second eigenvalue can be found here (as well as in the lecture notes). Finally, an introduction to networks, centrality measures, etc., can be found here (from "Networks: an introduction," by M. Newman).
- A discussion about one particularly important example of a Markov chain (a random walk on a finite state space), is available here. Please e-mail me if you'd like the code used to generate the figures shown.
- Midterm #1 has been moved to Tuesday, June 12. The schedule in the syllabus has been updated.
- The course syllabus is now online. The supplementary textbook we will be using ("Linear Algebra Done Wrong," by S. Treil) is available for download here.
Lecture notes:
These materials are from a previous version of this course. Please ignore all references to lecture numbers and dates, and note that the order of topics covered may vary slightly.Homework assignments:
- Homework #1 (due Fri., Jun. 01) [solutions]
- Homework #2 (due Tue., Jun. 05) [solutions]
- Homework #3 (due Thu., Jun. 07) [solutions]
- Homework #4 (due Mon., Jun. 11) [solutions]
- Homework #5 (due Thu., Jun. 14) [solutions]
- Homework #6 (due Mon., Jun. 18) [solutions]
- Homework #7 (due Wed., Jun. 20) [solutions]
- Homework #8 (due Thu., Jun. 21) [solutions]
- Homework #9 (due Tue., Jun. 26) [solutions]
- Homework #10 (due Thu., Jun. 28) [solutions]
- Homework #11 (due Mon., Jul. 02) [solutions]
- Homework #12 (due Tue., Jul. 03) [solutions]
- Homework #13 (due Thu., Jul. 05) [solutions]
Exam solutions:
- Midterm #1 (Tue., Jun. 12)
- Midterm #2 (Fri., Jun. 22)
- Final exam (Fri., Jul. 26)