Prof. W. Kahan's Notes for Math. H110, Fall semester 2000,

and for Math. 110, Spring Semester 2002.

(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 vs. Programs. 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
- A Tutorial Overview of Vector and Matrix Norms, Parts I-V, PDF file
- Real Operator Norms in Complex Spaces, 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.