Teaching Related

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

  1. Ideas of Mathematics and Computer (Lecture notes, Labs, Tests), 1–46, (1985)
  1. (joint work with P.L. Ahlborn),
    Topics in Geometry: Inversion, 1–44, (1993)
  2. (joint work with R. Baker and J. Hemmeter),
    Problems in Linear Algebra, 1–24, (1992-1995)
  3. Elements of Number Theory: Lecture Notes, 1–36, (1996; Last revision: April 2007)
    [pdf]
  4. On a Method in Algebra and Geometry, 1–7, (1991; Last revision: 2003)
    [pdf]
  5. On Earth, Moon and Maple, 1–6, (1996). See the modified version of the handout
  6. On Systems of Linear Diophantine Equations, 1–6, (1996) [pdf]
  7. (joint work with R. Hochberg),
    Invariants I (Discrete Mathematics), 1–6, (1998; Last revision: 2020) [pdf]
  8. (joint work with R. Hochberg),
    Invariants II (Geometry), 1–13, (1998). See also Chapter 12 in here.
  9. (joint work with R. Hochberg),
    Monovariants, 1–7, (1998; Last revision: February 2011.)[pdf]
  10. Notes and Problem Sets for the Introductory Discrete Mathematics (Math 210),
    1–46, (2000)
  11. On Earth, Moon and Maple, 1–6, (1996). Here is an extended version (2011): [pdf]
  12. On Quadratic Polynomials, 1–9, (1996; Last revision: 9/2008) [pdf]
  13. (joint work with the class),
    Problems and Solutions for Graduate Combinatorics I (Math 688),
    1–44, (2000–2006). [pdf]
  14. (joint work with the class),
    Problems and Solutions for Graduate Combinatorics II (Math 689),
    1–87, (2000). [pdf] (Last revision: Dec 9, 2009.)
  15. Short Proofs of Two Basic Properties of Central Projections. [pdf]
    1-10, (2003; Last revision: Jan 7, 2004)
  16. 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]
  17. On a Regular Simplex in R^n, [pdf]
    1-2, (2001. Last revision: Dec, 2004.)
  18. “Es steht schon bei Dedekind”, [pdf]
    1-8, (2005. Last revision: Oct, 2006.)
  19. (with O. Byer and D. Smeltzer) Methods for Euclidean Geometry, MAA. 451p. 2010.
    For selected parts click here.
  20. Linear Algebra II (tentative title), 1-120, (work in progress.)
  21.  Surprises (2014):   [pdf]
    A longer original version (2013) is here: [pdf]
  22.  Arithmetic and Geometric Sequences,   [pdf]
    1-10,  (Last revision: August, 2012.)
  23.  Notes on Inequalities,   [pdf]
    1-28,  (Last revision: September 3, 2020.)
  24.  On Green-Tao Theorem,   [pdf]
    1-3,  (Last revision: January, 2010.)
  25.   Notes on Rational and Real Numbers,    [pdf]
    1-38,  (Last revision: June, 2010.)
  26.   Groups of order p^3,   [pdf]
    1-3,  (Last revision: January, 2011.)
  27. (joint work with B. Kronenthal),
    When can you factor a quadratic form? (2014) [pdf]
  28. Lectures on Linear Algebra, A Second Course, 1–101, (Based on Fall 2005 M672 Course. Last revision: December 2011.) LecturesLinAlg
  29. Lectures on Group Theory (with some problems), 1–84, (Revision in process: December 2015.) [pdf]
  30. Calculus III: Fall 2011 course.
  31. Simplicity of A_n (Last revision: October 2016.) [pdf]
  32. Algebra I (Some Lecture Notes): [pdf], and here are some exercises: [pdf]. January 2020.
  33. 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.
  36. In Elliptic World I: [pdf], Notes for a seminar talk at UD, December, 2021.