Darel’s Score Card
Education
| B.S. |
New Mexico State University, 1962 |
| M.S. |
New Mexico State University, 1964 |
| Ph.D. |
New Mexico State University, 1967 |
Advisor Robert J. Wisner
Professional Experience
| University |
Title |
Dates |
| Seattle University |
Instructor |
1964–1965 |
| Colorado State University |
Assistant Professor of Mathematics |
1967–1972 |
| Colorado State University |
Associate Professor of Mathematics |
1972–1985 |
| University of Nebraska |
Visiting Associate Professor of Mathematics |
Spring 1979 |
| Colorado State University |
Professor of Mathematics |
1985–2004 |
| New Mexico State University |
Visiting Professor of Mathematics |
Spring 1992 |
Funded Projects
| Project |
Title |
Agency |
Dates |
| Western Mathematics Scholars Program |
Colo Dir |
NSF |
1990–1992 |
| CSU Color Workstation Proj |
PI |
NSF |
1991–1992 |
| Colo Integrated Mathematics Initiative |
PI |
CCHE |
1995–1997 |
| Articulation, Assessment, and Placement Conf |
PI |
CCHE |
1997–1998 |
| Algebra in Context |
Co PI |
CUE, RMTEC |
1995–1997 |
| Assessment of college Algebra in Context |
Co PI |
RMTEC |
1998–1999 |
Committee Service and Administrative Assignments
- Organizer and First Director, CSU Math Day, 1977
- CSU Faculty Council, 1984–1996
- Executive Committee, Department of Mathematics, 1983–1984, 1987–1991,
1992–1993
- Director, Committee on Research, Development, and Computing, Department of
Mathematics, 1982–1992
- Faculty Council committee on Instructional Development, 1989–1992
- Director, College of Natural Sciences Macintosh Lab, 1987–1989
- Five-year Review Committee, Department of Mathematics, 1982
- College of Natural Sciences Instructional Computing Committee, 1983–1988
- Colorado Director, Western Mathematics Scholars Program, 1989–1992
- Director of Undergraduate Instruction, Department of Mathematics, 1985–1986
- Teacher Education Advisory Committee, CSU, 1983–1986
- Task Force of Student Information System, CSU, 1984–1986
- Five-year Review Committee, Department of Mathematics, 1991
- Faculty Council Committee on Intercollegiate Athletics, 1993–1996
- Chair, College of Natural Sciences Computing Advisory Committee, 1992–1993
- Chair, Department of Mathematics Calculus Advisory Committee, 1993
- Course Coordinator for Calculus I, 1992–2000
- Board of Directors, Rocky Mountain Mathematics Consortium, 1993–1997
- College of Natural Sciences Computing Oversight Committee, 1995–1996
- Rocky Mountain Teacher Education Collaborative Leadership Team, 1995–2000
- Chair, Mathematical Association of America Rocky Mountain Region, 1997–1998
- Program Chair, Mathematical Association of America Rocky Mountain Region,
1999-2000
Lectures
- Matrix number theory, Conference on Pure and Applied
Mathematics, New Mexico Institute of Mining and Technology, 1967
- Matrix number theory and Fibonacci numbers, Southwest
Section Meeting of MAA, University of Arizona, 1967
- An old familiar formula in a semigroup setting,
National Meeting of the American Mathematical Society, Toronto, 1967
- An old familiar formula in a semigroup setting, CSU
colloquium, 1967
- How many primes are there? CSU Math Club, 1968
- How many primes are there? Sterling High School, 1969
- Infinite cardinal arithmetic, Denver East High School,
1969
- An embedding theorem for weakly inverse semigroups,
AMS national meeting, San Antonio, 1970
- Egg boxes and Green’s theorem, CSU colloquium, 1970
- Infinite cardinal arithmetic, Thomas Jefferson High
School, 1971
- Matrix number theory, Fairview High School, Boulder,
1971
- Constructive mathematics, CSU colloquium, 1973
- Matrices and Fibonacci numbers, Rocky Mountain High
School, 1974
- Calculators, Good or Bad?, Northeastern Junior College
Science Day, 1975
- Semilattices of proper inverse semigroups, AMS
national meeting, San Antonio, 1976
- What to do if close is good enough, National Council
of Teachers of Mathematics, El Paso, 1976
- Some forgotten topics in analytic geometry,
Mathematical Association of America, Denver, 1976
- How do mathematicians make up problems? CSU KME, 1977
- The Biordered set of idempotents of a regular
semigroup, CSU colloquium, 1978
- The semigroup of closed relations, University of
Nebraska, 1979
- The maximal regular ideal of the semigroup of binary
relations, CSU 1979
- Automorphisms of the semigroup of binary relations,
University of Nebraska, 1979
- Partial orders and their semigroup of binary
relations, AMS, Boulder, 1980
- The domain-range trace of a finite partial order, AMS,
Boulder, 1980
- Varsity mathematics: A competitive sport for the gifted and
talented, NCTM, El Paso, 1981
- Geometric Solids, KME, CSU, 1981
- Intersection of the maximal regular subsemigroups of the semigroup of binary
relations, University of Arkansas, 1982
- Subsemigroup of binary relations determined by two idempotents, invited paper,
special session on semigroups, AMS section meeting, Norman, 1983
- Implications of Scientific Calculators on the Mathematics Curriculum, panel chair, MAA Regional meeting, Fort Collins, 1983
- A search for large primes, KME CSU, 1986
- Best rational approximations, Poudre School District Math Teachers, 1986
- The geometry of the semigroup of binary relations, NMSU, 1988
- The geometry of the semigroup of binary relations, Vienna, Austria, 1988
- Computer algebra systems, CSU Math Day, 1988
- The geometry of the semigroup of binary relations, University of Nebraska,
1989
- The Western Mathematics Scholars Program, CSU Math Day, 1989
- Scientific Visualization, MESA, Boltz Junior High, 1989
- Scientific Visualization, Rocky Mountain Association of Computing in
Education, keynote speaker, Denver 1990
- Scientific Visualization, CSU Math Day, 1990
- Scientific Visualization: A tool for teaching mathematics, Technology in
Education Conference, Snowmass, 1991
- Arithmetic in the semigroup of binary relations, New Mexico State University,
1992
- Maple Labs and Calculus at Colorado State University, International Conference
on Technology in Collegiate Mathematics, Chicago, 1992
- Using Maple in Undergraduate Mathematics, Mathematics Department, University
of Washington, 1993
- Using Maple in Algebra and Calculus, CCTM Mini Conference, La Junta, 1993
- Using Maple in Algebra and Calculus, CCTM Mini Conference, Montrose, 1993
- College algebra in context, MAA Rocky Mountain Region, Pueblo, 1995
- College algebra in context, AMATYC Conference, Breckenridge, 1995
- Stimulating simulations using technology and toys, NCTM, San Diego, 1996
- Teaching calculus using Scientific WorkPlace, MAA Rocky Mountain Region, Grand
Junction, 1996
- Using Scientific WorkPlace to teach algebra and calculus, CCTM, Denver, 1996
- Using Scientific WorkPlace to teach mathematics, ICTCM, Reno, 1996
- Self placement in college mathematics, CCTM, Denver, 1997
- Self placement in college mathematics, Mathematics and Science Contest,
Northeast Junior College, 1998
- College algebra reform: Documenting student attitudes and performance, MAA
Rocky Mountain Region, Alamosa, 1999
- Using technology to teach the mathematics of web security and data integrity,
International Conference of Technology in Collegiate Mathematics, Baltimore,
2001
- Animations That Help Students Construct Knowledge in Mathematics, Invited
Speaker, Asian Technology Conference in Mathematics, Bangkok, Thailand, 2008
Books, Manuals, and Monographs
- Basic Calculus, Brooks/Cole Publishing Company, 1975
- Doing Mathematics With Scientific WorkPlace,
Brooks/Cole Publishing Company, 1995, with C. Walker
- Doing Calculus with Scientific Notebook, Brooks/Cole
Publishing Company, 1997, with C. Walker
- College Algebra in Context, published locally for M180
at CSU, 1994
- Surviving Calculus at Colorado State University and actually
learning to enjoy it, CSU, 1998
- Doing Mathematics With Scientific WorkPlace, MacKichan
Software, 2000, with C. Walker
- Applied Algebra: Codes, Ciphers, and Discrete
Algorithms, Prentice Hall, 2003, with C. Walker
- Applied Algebra: Codes, Ciphers, and Discrete
Algorithms, Prentice Hall, Japanese translation, 2005, with C. Walker
- Calculus: Understanding Its Concepts and Methods,
MacKichan Software, 2006, with F. Richman, C. Walker, and R. Wisner
- Precalculus, Hardy Calculus LLC, 2008, with F.
Richman, C. Walker, and R. Wisner
- Business Calculus, Hardy Calculus LLC, 2008, with D.
Davis, F. Richman, C. Walker, and R. Wisner
- Calculus for Advance Placement, Hardy Calculus LLC,
2008, with F. Richman, C. Walker, and R. Wisner
- Applied Algebra: Codes, Ciphers, and Discrete
Algorithms, Second Edition, CRC Press, 2008, with F. Richman and C.
Walker
Papers
- A note on a paper of Srinivasan, Math. Ann.
186 (1970), 34–35, with M. Brown and R. Painter
- New proof of a basic theorem about the modular group,
Publ. Math. Debrecen 18 (1971), 109–110, with R. Wisner
- An embedding theorem for weakly inverse semigroups,
Semigroup Forum 2 (1971), 332–335, with M. Brown and R.
Painter
- A dominance semigroup of the modular group, Publ.
Math. Debrecen 19 (1972), 145–149, with R. Wisner
- Cardinalities of D-classes in
Bn,
Semigroup Forum 4 (1972), 341–344, with R. Brandon, K.
Butler, and G. Markowsky
- The Schützenberger group of an
H-class
of the semigroup of binary relations, Semigroup Forum
5 (1972), 43–45, with R. Brandon and G. Markowsky
- Semilattices of proper inverse semigroups, Semigroup
Forum 13 (1976), 20–36, with Y. Tirasupa
- The maximal regular ideal of the semigroup of binary
relations, Czech. Math. J. 31 (1981), 194–198, with
F. Pastijn
- Partial orders, closed relations, and their
automorphisms, Semigroup Forum 22 (1981), 125–138, with M. Thornton
- Partial orders and their semigroup of closed
relations, Semigroup Forum 25 (1982), 171–184, with
M. Thornton
- The intersection of the maximal regular subsemigroups of the
semigroup of binary relations, Semigroup Forum 29
(1984), 343–349, with M. Thornton
- Semigroup rings which are separable algebras,
Proceedings Ring Theory Antwerp 1985, Lecture Notes in Mathematics #1197
(1986), 51–59, Spring Verlag, with F. DeMeyer
- The semigroup of binary relations and quasi
regularity, Semigroup Forum 59 (1999), 8–17, with R.
Brandon
- Binary relations as lattice isomorphisms, Annali di
Matematica pura ed Applicata 177 (1999), 195–224, with M.
Petrich
- College algebra reform: Documenting student attitudes and
performance, Promoting Excellence in Teacher Preparation, Rocky
Mountain teacher Education Collaborative (1999), with K. Chappell
My Erdős number is 3. My Mathematical Geneology can be found at https://genealogy.math.ndsu.nodak.edu/id.php?id=9472