Teaching Materials

Teaching Materials, etc.

This page is under construction. I plan to add many more items and files which can be downloaded.

2. (joint work with P.L. Ahlborn),
Topics in Geometry: Inversion, 1--44, (1993)

3. (joint work with R. Baker and J. Hemmeter),
Problems in Linear Algebra, 1--24, (1992-1995)

4. Elements of Number Theory: Lecture Notes, 1--36, (1996; Last revision: April 2007)
[pdf] [ps]

5. On a Method in Algebra and Geometry, 1--7, (1991; Last revision: 2003)
[pdf] [ps]

6. On Earth, Moon and Maple, 1--6, (1996)

7. On Systems of Linear Diophantine Equations, 1--6, (1996) [pdf] [ps]

8. (joint work with R. Hochberg),
Invariants I (Discrete Mathematics), 1--6, (1998; Last revision: 2004) [pdf] [ps]

9. (joint work with R. Hochberg),
Invariants II (Geometry), 1--13, (1998)

10. (joint work with R. Hochberg),
Monovariants, 1--7, (1998)

11. Notes and Problem Sets for the Introductory Discrete Mathematics (Math 210),
1--46, (2000)

12. On Earth, Moon and Maple, 1--6, (1996)

13. On Quadratic Polynomials, 1--9, (1996; Last revision: 9/2008) [pdf] [ps]

14. (joint work with the class),
Problems and Solutions for Graduate Combinatorics I (Math 688),
1--44, (2000--2006). [pdf] [ps]

15. (joint work with the class),
Problems and Solutions for Graduate Combinatorics II (Math 689),
1--87, (2000). [pdf] (Last revision: Dec 9, 2009.)

16. Short Proofs of Two Basic Properties of Central Projections. [pdf] [ps]
1-10, (2003; Last revision: Jan 7, 2004)

17. Jensen's Inequality, [pdf] [ps]
1-2, (2000. Last revision: Dec, 2004.)

18. On a Regular Simplex in R^n, [pdf] [ps]
1-2, (2001. Last revision: Dec, 2004.)

19. ``Es steht schon bei Dedekind", [pdf] [ps]
1-8, (2005. Last revision: Oct, 2006.)

20. (with O. Byer and D. Smeltzer) Methods for Euclidean Geometry, 1-538, (to be published by the MAA in 2010.)

21. Linear Algebra II (tentative title), 1-120, (work in progress.)

22. Surprises, surprises, surprises…, [pdf]
1-11, (Last revision: October, 2007.)

23. Arithmetic and Geometric Sequences, [pdf]
1-10, (Last revision: December, 2008.)

24. Notes on Inequalities, [pdf]
1-27, (Last revision: December, 2009.)

25. On Green-Tao Theorem, [pdf]
1-3, (Last revision: January, 2010.)

26. Notes on Rational and Real Numbers, [pdf]
1-37, (Last revision: March, 2010.)