Fall 08 Classes:

151, 430/431.

Courses taught in the past:

Calculus and Pre-Calc. 152,251, 252,126, 140,  Linear algebra (460).

Remember:

Be sure to get all your homework done as soon as possible after class as this will lead to better grades.

Links:

- Flash Movies: Chile 07, Chile 05, Korea 05.
- eJMT
- ATCM
- E-mail Me

-Math Applets.

Walker 203; Phone: (540) 831-5232

 

PROFESSIONAL ACTIVITIES

For my detailed professional activities, please refer to my CV.

Picture of Purple ball Founder of the Asian Technology Conference in Mathematics (ATCM).

Picture of Purple ball Founder of the Electronic Journal of Mathematics and Technology (eJMT).
Picture of Purple ball Member of the International Program Committee of the ICTMT-8 (the 8th International Conference on Technology in Mathematics Teaching), Hradec Králové, Czech Republic, July 1-4, 2007.
Picture of Purple ball Chairperson of the International Program Committee of the  ATCM95, ATCM97, ATCM98, ATCM99, and ATCM00
Picture of Purple ball Co-Chair of the International Program Committee of ATCM01, ATCM02, ATCM03, ATCM04, ATCM05, ATCM06 and ATCM07.
Picture of Purple ballJuly 6-13, 2008: Present talks at the ICME 11 Mexico 2008, Monterrey, Mexico.

Picture of Purple ballMay 5-10, 2008: Visit Suan Sunandha Rajabhat University, Thailand. (May 10-14, 2008: Visiting Taiwan.)
Picture of Purple ballApril 9-12, 2008:  Present a talk at the NCTM 2008 Annual Meeting, Salt Lake City, Utah.
Picture of Purple ballMarch 6-9, 2008: Present a session paper at the ICTCM, San Antonio, Texas.
Picture of Purple ballJanuary 6-9, 2008: Present a contributed paper at AMS/MAA Joint meeting, San Diego, CA.
Picture of Purple ballJuly 1-4, 2007: Invited as a plenary speaker at ICTMT8, Czech Republic. (A photo flash file)
Picture of Purple ball June 18-22, 2007: invited as a plenary speaker at EARCOME 4, Malaysia. (A photo flash file)
Picture of Purple ball May 7-15, 2007: Invited as a visiting professor at UNIVERSIDAD DIEGO PORTALES, Chile. (A photo flash file) (An article in Spanish)
Picture of Purple ball Invited as a visiting professor at UNIVERSIDAD DIEGO PORTALES, November 6-12, 2005.

Picture of Purple ballGuest Editor of the Journal of Computational Methods in Sciences and Engineering (JCMSE)
Picture of Purple ball Chair of the Internet/Distance Learning/Web-Assisted Instruction Sessions and Program Committee Member of the Fifteen Annual International Conference on Technology in Collegiate Mathematics (ICTCM 2004),  New Orleans, October 28-31, 2004.
Picture of Purple ballChair of the Internet/Distance Learning/Web-Assisted Instruction Sessions and Program Committee Member of the Fifteen Annual International Conference on Technology in Collegiate Mathematics (ICTCM 2003), October 30-November 2, 2003.
Picture of Purple ball Program Committee member of IEEE International Workshop of Wireless and Mobile Technologies in Education, December 8-10, 2003.
Picture of Purple ball Chair of the Internet/Distance Learning/Web-Assisted Instruction Sessions and Program Committee Member of the Fifteen Annual International Conference on Technology in Collegiate Mathematics (ICTCM 2002), October 31-November 3, 2002.
Picture of Purple ball Program Committee Member of the Fourteenth Annual International Conference on Technology in Collegiate Mathematics (ICTCM 2001) on Internet/Distance Learning/Web-Assisted Instruction. (November 1-4, 2001)
Picture of Purple ball Member of the Executive Committee of the GCSCE (Global Chinese Society of Computer Education) up to 2005.
Picture of Purple ball Member of the Steering Committee of the GCCCE'2003, Nanjing China, December 6-9, 2003. (Global Chinese Conference on Computer Education.
Picture of Purple ball Member of the Steering Committee of the GCCCE'2002, Beijing China, June 14-16, 2002. (Global Chinese Conference on Computer Education).
Picture of Purple ball Member of the Program Committee of the GCCCE'2000, Singapore, May 29-31, 2000. (Global Chinese Conference on Computer Education).
Picture of Purple ball Invited speaker at the 1998 Japan Society of Science and Technology Education, August 7-11, 1999.
Picture of Purple ball Editorial member, HP APLET, sponsored by Hewlett-Pacard's  Australian Calculator Operation, directed as promoting mathematics. .
A program committee member of ICCE98-Beijing (International Conference on Computers in Education, Beijing, China 14-17 October, 1998)

Picture of Purpleball A member of the international program committee of International Conference on the Teaching of Mathematics July 3-6, 1998, Samos, Greece.
Cited at the Summer Issue 1997 Vol. 9 of T.I.M.E. (Technology in Mathematics Education) in Japanese.
Invited Speaker at ICTMT , Koblenz, Germany, September 29 - October 2, 1997. For text version of the first announcement of ICTMT3, click here .
Picture of Purpleball Steering Committee member and invited speaker at the Global Chinese Conference in Computer Education ( GCCCE) (21 - 24, May,

1997), GCCCE'98, GCCCE'99 and GCCCE'00.
 



Picture of Purple ball For my detailed professional activities, please refer to my CV.
Picture of Purple ball Summer presentations of 1996:
Picture of Purple ball Teaching: Creating interactive teaching and learning material with Maple, MathView, Scientific WorkPlace (or Scientific Notebook), Java and etc. I am visiting Singapore for one year, click here for the project(s) that I am doing in Singapore. (June 97-May 98)

  1. Scientific WorkPlace Modules
  2. Famous Curves.

Picture of Purple ball Research: Incorporate uneven partions and develop open and closed types of adaptive quadratures in one and two dimensions, (click here for example). The quadratures can be used in estimating (non absolute) integrals such as f(x)=(1/x)*sin(1/x) or f(x,y)=(1/xy)*sin(1/xy) directly without using transformation technique. Note that the functions mentioned above are Henstock integrable but not Lebesgue integrable.

  • Integrals that Maple and Mathematica can't handle or give wrong answers.
  • Example 1 Maple and Mathematica can't handle this function since the singular points are located along x = y.
  • Example 2 Both Maple and Mathematica give answers 0, which are wrong. Since the double integral integral does not exist even if the repeated integrals is 0. This example shows that the existence of a double integral is essential for one to estimate its value since the existence and equality of the repeated integrals of a function (such as in this case) need not imply that the double integral of the function exists.
  • Surveys on numerical integration
  • More examples and my quadrature and cubature