PROFESSIONAL ACTIVITIES
Founder of the
Electronic Journal of Mathematics and Technology (eJMT).
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.
Chairperson of the International Program Committee of
the ATCM95, ATCM97, ATCM98, ATCM99, and ATCM00
Co-Chair of the International Program Committee of
ATCM01, ATCM02, ATCM03, ATCM04, ATCM05, ATCM06 and
ATCM07.
July
6-13, 2008: Present talks at the
ICME 11 Mexico 2008,
Monterrey, Mexico.
Guest
Editor of the
Journal of Computational Methods in Sciences and
Engineering (JCMSE)
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.
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 2003), October 30-November 2,
2003.
Program Committee member of
IEEE
International Workshop of Wireless and Mobile
Technologies in Education, December 8-10, 2003.
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.
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)
Member of the Executive Committee of the
GCSCE
(Global Chinese Society of Computer Education)
up to 2005.
Member of the Steering Committee of the
GCCCE'2003, Nanjing China, December 6-9, 2003.
(Global Chinese Conference on Computer
Education.
Member of the Steering Committee of the
GCCCE'2002, Beijing China, June 14-16, 2002.
(Global Chinese Conference on Computer
Education).
Member of the Program Committee of the
GCCCE'2000, Singapore, May 29-31, 2000. (Global
Chinese Conference on Computer Education).
Invited speaker at the 1998 Japan Society of
Science and Technology Education, August 7-11,
1999.
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)
1997),
GCCCE'98, GCCCE'99 and GCCCE'00.
Research: Used
Uniform Regular Matrices in partition an interval,
(click here for
example) and develop open and closed types of
adaptive quadratures in one and two dimensions. 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. (What Needs to
be done is the error analysis. If you are interested, I
would very much like to hear from you.
- 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
