Skip to main content

David A. Smith

Associate Professor Emeritus of Mathematics
Mathematics
Box 90320, Durham, NC 27708-0320
PO Box 90320, Durham, NC 27708

Selected Publications


Algebra as Part of an Integrated High School Curriculum

Chapter · October 20, 2016 Chapter 7 Algebra as Part of an Integrated High School Curriculum James T. Fey and David A. Smith Abstract Traditional high school mathematics curricula in the United States devote 2 years almost exclusively to development of student ... ... Cite

Changing technology implies changing pedagogy

Conference · January 1, 2006 Introduction. Sam looked up from the stack of orders on his desk and glanced at his watch. 3:30, time to work on his project with Andrew. He pushed the orders to one side and turned to his computer. No picture this time, but Andrew's voice came through wit ... Full text Cite

Editor's notes, July 2004

Journal Article Journal of Online Mathematics and Its Applications · July 1, 2004 Cite

Journal of online mathematics and its applications: Raindrops

Journal Article Journal of Online Mathematics and Its Applications · June 1, 2004 Cite

The Connected Curriculum Project

Journal Article Journal of Online Mathematics and Its Applications · December 1, 2001 The Connected Curriculum Project (CCP) is a coordinated effort to create interactive learning environments for a wide range of mathematical topics and mathematics-based applications. Our materials combine the flexibility and connectivity of the Web with th ... Cite

The SIR model for spread of disease

Journal Article Journal of Online Mathematics and Its Applications · December 1, 2001 Cite

Logistic growth model

Journal Article Journal of Online Mathematics and Its Applications · December 1, 2001 Cite

World class sprints

Journal Article Journal of Online Mathematics and Its Applications · December 1, 2001 Cite

Editor's notes

Journal Article Journal of Online Mathematics and Its Applications · December 1, 2001 Cite

World population growth

Journal Article Journal of Online Mathematics and Its Applications · December 1, 2001 Cite

The equiangular spiral

Journal Article Journal of Online Mathematics and Its Applications · December 1, 2001 Cite

Editor's Notes

Journal Article Journal of Online Mathematics and Its Applications · August 1, 2001 Cite

Project CALC: Calculus as a laboratory course

Conference Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics · January 1, 1992 Calculus is the study of change. The concepts of calculus enable us to model processes that change and to describe properties of these processes that remain constant in the midst of change. Now change has come to the learning of calculus -change driven by ... Full text Cite

EXTRAPOLATION METHODS FOR VECTOR SEQUENCES.

Journal Article SIAM Review · January 1, 1987 The authors describe and compare five methods for extrapolating to the limit (or anti-limit) of a vector sequence without explicit knowledge of the sequence generator. The methods are the minimal polynomial extrapolation (MPE); the reduced rank extrapolati ... Full text Cite

ACCELERATION OF CONVERGENCE OF VECTOR SEQUENCES.

Journal Article SIAM Journal on Numerical Analysis · January 1, 1986 A general approach to the construction of convergence acceleration methods for vector sequences is proposed. Using this approach, one can generate some known methods, such as the minimal polynomial extrapolation, the reduced rank extrapolation, and the top ... Full text Cite

Algorithm 602: HURRY: An Acceleration Algorithm for Scalar Sequences and Series

Journal Article ACM Transactions on Mathematical Software Toms · September 1, 1983 Full text Cite

HURRY: An Acceleration Algorithm for Scalar Sequences and Series

Journal Article ACM Transactions on Mathematical Software Toms · September 1, 1983 Full text Cite

ACCELERATION OF CONVERGENCE OF VECTOR SEQUENCES.

Journal Article NASA Technical Paper · January 1, 1983 A general approach to the construction of convergence acceleration methods for vector sequences is proposed. Using this approach, one can generate some known methods, such as the minimal polynomial extrapolation, the reduced rank extrapolation, and the top ... Cite

Numerical Comparisons of Nonlinear Convergence Accelerators

Journal Article Mathematics of Computation · April 1982 Full text Cite

Numerical comparisons of nonlinear convergence accelerators

Journal Article Mathematics of Computation · January 1, 1982 As part of a continuing program of numerical tests of convergence accelerators, we have compared the iterated Aitken’s A2 method, Wynn’s e algorithm, Brezinski’s 0 algorithm, and Levin’s u transform on a broad range of test problems: linearly convergence a ... Full text Cite

A descriptive model for perception of optical illusions

Journal Article Journal of Mathematical Psychology · January 1, 1978 The apparent curves of stable geometrical illusions of angle are modeled by a first-order differential equation depending on a single parameter, called the strength of the illusion. The model is based on Brentano's theory that the human visual system tends ... Full text Cite

Further Comments on “On the Evaluation of [formula omitted] with Applications to 2 Transforms”

Journal Article IEEE Transactions on Automatic Control · January 1, 1977 Full text Cite

Bivariate function algebras on Posets

Journal Article Journal Fur Die Reine Und Angewandte Mathematik · January 1, 1971 Full text Cite

A calculus-with-computer experiment

Journal Article Educational Studies in Mathematics · September 1, 1970 Full text Cite

Incidence functions as generalized arithmetic functions, iii

Journal Article Duke Mathematical Journal · January 1, 1969 Full text Cite

Incidence functions as generalized arithmetic functions, II

Journal Article Duke Mathematical Journal · January 1, 1969 Full text Cite

Incidence function as generalized arithmetic functions I

Journal Article Duke Mathematical Journal · January 1, 1967 Full text Cite

On semigroups, semirings, and rings of quotients

Journal Article Hiroshima Mathematical Journal · January 1, 1966 Full text Cite

Chevalleyb ases for lie modules

Journal Article Transactions of the American Mathematical Society · January 1, 1965 Full text Cite

CHEVALLEY BASES FOR LIE MODULES

Journal Article TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY · 1965 Cite

On fixed points of automorphisms of classical lie algebras

Journal Article Pacific Journal of Mathematics · January 1, 1964 Full text Cite