Subjects for final examination

The examination is not comprehensive but focuses
on the material covered after the second midterm.
Of course, I assume that you are knowledgable about
the general notions used in class, like nullspace,
REF, determinant, etc.


-- Scalar products and abstract inner products

-- Euclidean length and abstract norms on vector spaces

-- Orthogonal complement space and orthogonal projection onto
   single vector and entire space

-- Least squares problems I: solution based on normal equations

-- Orthogonal bases and the Gram-Schmidt process
   Least squares problems II: solution based on QR factoriations

-- Least squarse problems III: application to running time
   prediction

-- Eigen-values, -vectors, -spaces; char polynomial
 
-- Solution of lin diff equs with constant coefficients

Note: You are allowed to bring THREE 8.5' by 11' sheets
with notes on both sides to the exam.

Note added 12/15/1997: also a topic was linear transforms