Prof. W. Kahan's Notes for Math. H110, Fall semester 2000,
and for Math. 110, Spring Semester 2002.

As of 30 May 2002, these files are available from this web page:
(They are all dated. Be sure you get the latest versions.)

• Topics, Readings and Solutions for the Spring 2002 Final Exam. PDF file
• Matlab's Inverses of Nearly Singular Hilbert Matrices. PDF file
• Topics and Solutions for the 2nd Midterm Exam on 1 May 2002. PDF file
• Sheldon Axler's 1994 article "Down with Determinants". PDF file
• Solved assignment due Fri. 22 March 2002. PDF file
• Topics and Solutions for Math. 110 MidTerm Test, 6 March 2002. PDF file
• Topics for Math. H110, Fall Semester 2000. PDF file
• Cross-Products and Rotations in Euclidean 2- and 3-Space. PDF file
• Axioms for Fields and Vector Spaces. PDF file
• Solutions to Problems about Axioms for Fields and Vector Spaces. PDF file
• Notes on 2-Dimensional Spaces. PDF file
• When is Triangular Factorization Unique?. PDF file
• The Reduced Row-Echelon Form is Unique. PDF file
• Vector Spaces, Bases, and Dual Spaces. PDF file
• Geometry of Elementary Operations. PDF file
• Geometry of Elementary Operations and Subspaces. PDF file
• Solutions to problems issued 10 Oct. 2000. PDF file
• Least-Squares and Bilinear Forms. PDF file
• Solutions to Problem Set 2. PDF file
• Solutions for Take-Home Test due 5 Oct. 1998. PDF file
• Jacobi's formula for the derivative of a determinant. PDF file
• Gauss-Jordan Inversion of Matrices. PDF file
• Chio's Trick for Linear Equations with Integer Coefficients. PDF file
• Euclid's GCD Algorithm for Linear Equations with Integer Coefficients. PDF file
• Diagonal Prominence. PDF file
• Solutions for Problems issued 21 Nov. 2000. PDF file
• Test Problems and Solutions. PDF file
• How to Recognize a Quadratic Form. PDF file
• Jordan's Normal Form. PDF file
• Gargantuan Generalized Inverses. PDF file
• Notes on Vector and Matrix Norms. PDF file
• Jensen's Inequality. PDF file
• Answers for 1998's Final Exam. PDF file
• Topics to be Covered for the Final Exam, Fall 2000. PDF file
• Answers for 2000's Final Exam. PDF file
• Grades for Fall Semester 2000. PDF file
• Only Commutators have Trace Zero. PDF file
• Separating Clouds by a Plane; an application of the SVD. PDF file

  
  
  Here's what you should keep most in mind while preparing for the final exam:
  1. Figuring out what you read as you read it matters much more than remembering it all afterwards.
  2. A good night's sleep before the exam works better by far than a night spent cramming.