**Teaching Materials, etc.**

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

- Ideas of Mathematics and Computer (Lecture notes, Labs, Tests), 1--46, (1985)

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]

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

[pdf]

6. On Earth, Moon and Maple, 1--6, (1996). See the modified version of the handout

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

8.
(joint work with R. Hochberg),

Invariants I (Discrete Mathematics), 1--6, (1998; Last revision: 2020) [pdf]

9.
(joint work with R. Hochberg),

Invariants II (Geometry), 1--13, (1998). See also Chapter 12 in
here.

10.
(joint work with R. Hochberg),

Monovariants, 1--7, (1998; Last revision: February 2011.)
[pdf]

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

1--46, (2000)

12. On Earth, Moon and Maple, 1--6, (1996). Here is an extended version (2011): [pdf]

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

14.
(joint work with the class),

Problems and Solutions for Graduate Combinatorics I (Math 688),

1--44, (2000--2006). [pdf]

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]

1-10, (2003; Last revision: Jan 7, 2004)

17.
Jensen's Inequality, [pdf]

1-2, (2000. Last revision: Dec, 2004.)

A better presentation and more examples can be found in Notes on Inequalities, item 24 on this page [pdf]

18.
On a Regular Simplex in R^n, [pdf]

1-2, (2001. Last revision: Dec, 2004.)

19.
``Es steht schon bei Dedekind", [pdf]

1-8, (2005. Last revision: Oct, 2006.)

20.
(with O. Byer and D. Smeltzer) Methods for Euclidean Geometry,
MAA. 451p. 2010.

For selected parts click here.

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

22.
Surprises (2014):
[pdf]

A longer original version (2013) is here:
[pdf]

23.
Arithmetic and Geometric Sequences,
[pdf]

1-10, (Last revision: August,
2012.)

24.
Notes on Inequalities,
[pdf]

1-28, (Last revision: September 3,
2020.)

25.
On Green-Tao Theorem,
[pdf]

1-3, (Last revision: January,
2010.)

26.
Notes on Rational and Real Numbers,
[pdf]

1-38, (Last revision: June,
2010.)

27.
Groups of order p^3,
[pdf]

1-3, (Last revision: January,
2011.)

28.
(joint work with B. Kronenthal),

When can you factor a quadratic form? (2014)
[pdf]

29. Lectures on Linear Algebra, A Second Course, 1--101, (Based on Fall 2005 M672 Course. Last revision: December 2011.) [pdf]

30. Lectures on Group Theory (with some problems), 1--84, (Revision in process: December 2015.) [pdf]

31. Calculus III: Fall 2011 course.

32. Simplicity of A_n (Last revision: October 2016.) [pdf]

33. Algebra I (Some Lecture Notes): [pdf], and here are some exercises: [pdf]. January 2020.

34. What is a good teaching? Who is a better teacher?: [pdf]. Notes for a seminar talk at UD, May 2021.

34. Topics Course for Undergraduates: Mathematical Stories: Problems, History, Solutions, Theories. [pdf], October, 2021.

35. A Tale of a Happy Marriage: [pdf], Notes for a seminar talk at UD, November, 2021.

35. In Elliptic World I: [pdf], Notes for a seminar talk at UD, December, 2021.

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