Course information for MATH 611:
Numerical linear and nonlinear algebra

Instructor
Prof. Toby Driscoll
505 Ewing Hall
831-3383 or driscoll(AT)math.udel.edu
Office hours: Tue 9:30-11:00, Thur 1:30-3:00, or by appointment
Meetings
MWF 2:30-3:20, in Ewing 205.
Textbook
L. N. Trefethen and D. Bau, Numerical Linear Algebra, SIAM.

We will not cover the text completely. The nonlinear part of the course will be supported by personal notes.

Additional reading: Matrix Computations by Golub and Van Loan (definitive reference), Elementary Numerical Analysis by Atkinson and Han (introductory reference)
Due dates
Assignments are due by the beginning of class on the due date. Late work will not be accepted without a valid excuse.
Academic integrity
You are expected and encouraged to discuss problems with others. However, the work you turn in must be completely your own. For example, fixing an error in one line of a classmate's code is no big deal. Emailing your entire solution to someone is a big deal and is a violation of the integrity policy. So is working side-by-side and turning in the same code with some variable names changed.

Sharing or copying will result in grade penalties for all involved parties.

Homework
Homework will be collected on Fridays, though not necessarily every week.
MATLAB
Using the software package MATLAB is a major required part of the course. I have written a basic guide that should be enough to get you through the class. If you want a more complete reference, I recommend Getting Started with MATLAB by R. Pratap. You can use MATLAB in certain campus labs, run it on the UNIX mainframes, or purchase a student version for about $100 from mathworks.com.
Exams
There will be two midterm exams on nonoverlapping units of the course, plus a final.
Matrixpedia
You will create a page that discusses important facts about a particular matrix type. Details in class!
Grading
Homework
30%
Labs 10%
Midterm exams
15% each
Final exam
20%
Matrixpedia
10%
Synopsis
Sections Topic
1-5 I: Linear algebra fundamentals
6-11 II: QR factorization and least squares
12-15, 18-19 III: Conditioning and stability
Oct. 12 Midterm 1 (Parts I-III)
20, 21, 23 IV: Square linear systems
24-29 V: Eigenvalues
Nov. 16 Midterm 2 (Parts IV-V)
32-36, 38 VI: Iterative methods for linear systems
-- Scalar rootfinding methods
-- Systems of nonlinear equations
-- Optimization
TBA Final exam