These resources should be helpful to those taking Mathematics Department PhD or First Year exam in Numerical Linear Algebra. A few things may be relevant to just the January, 2015 exam, but they should be generally useful.
The material is based on class lectures and the text Numerical Linear Algebra by Trefethen and Bau.
An important note on the text and the exam: The textbook sometimes uses informal, heuristic or sketches of proofs. However, all answers on a mathematics exam must consist of complete and rigorous proofs.
Disclaimer: While the exam questions will certainly be in the areas given in the topics below, there is no guarantee that any specific problem or problems will be on the actual exam.
- A list of topics
- The previous exams in the GMA archive.
- A collection of homework problems assigned during Fall, 2017
- Some additional practice problems (3 new problems added on 12/6/15)
- A practice final exam for the course which you should take with no notes or books in two hours maximum.