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