International Journal of Mathematical Education in Science and Technology
August 2004 Volume 35, Number 4
Table of Contents
Number of articles: 18

Using Groups32 in Instruction
John J. Wavrik
This article discusses the process of integrating the use a software system into a conventional course in Abstract Algebra. It is a description of how and why a software system was used. It uses a ... More
pp. 475485

A Brief Historical Introduction to Fractional Calculus
Lokenath Debnath
This paper deals with a brief historical introduction to fractional calculus with basic ideas, definitions and results of fractional order integration and differentiation of arbitrary order. More
pp. 487501

Student Interpretations of the Terms in FirstOrder Ordinary Differential Equations in Modelling Contexts
David R. Rowland & Zlatko Jovanoski
A study of firstyear undergraduate students' interpretational difficulties with firstorder ordinary differential equations (ODEs) in modelling contexts was conducted using a diagnostic quiz, exam... More
pp. 503516

Teaching Equivalence Relations Using Collaborative Activities
Janet E. Mills
The notion of equivalence relation is a fundamental concept in mathematics and yet mathematics students often are not given formal exposure to it until midway through their college careers. Not... More
pp. 517522

Using MathCAD to Teach OneDimensional Graphs
B Yushau
Topics such as linear and nonlinear equations and inequalities, compound inequalities, linear and nonlinear absolute value equations and inequalities, rational equations and inequality are commonly... More
pp. 523529

Interaction: Additivity plus Nonlinearity?
T P. Hutchinson
Whether or not there is an interaction between two factors in their effects on a dependent variable is often a central question. This paper proposes a general mechanism by which an interaction may ... More
pp. 531537

Energy Expansion for the Period of Anharmonic Oscillators by the Method of LindstedtPoincare
Francisco M. Fernandez
A simple, straightforward and efficient method is proposed for the calculation of the period of anharmonic oscillators as an energy series. The approach is based on perturbation theory and the... More
pp. 539548

Modelling the Relative Contribution of Fasting and PostPrandial Plasma Glucose to HbA1c in Healthy and Type 2 Diabetic Subjects
Richard L. Ollerton, Steven D. Luzio & David R. Owens
Glycated haemoglobin (HbA1c) is regarded as the gold standard of glucose homeostasis assessment in diabetes. There has been much discussion in recent medical literature of experimental results... More
pp. 549552

Students' Conceptions of, and Approaches to, Studying Mathematics as a Service Subject at Undergraduate Level
Judith Macbean
This study investigates whether students' approach to studying their main honours degree subject differs from how they approach studying mathematics as a service subject. It builds upon work by... More
pp. 553564

Demonstration of Systematic Improvements in Application of the Variational Method to Strongly Bound Potentials
B Ninemire & W N. Mei
In applying the variational method, six different sets of trial wave functions are used to calculate the ground state and first excited state energies of the strongly bound potentials, i.e. V(x)=x[... More
pp. 565583

Anticommutativity in Rings
A B. Thaheem
This note shows that for semiprime rings the anticommutativity implies commutativity. More
pp. 585587

Keep Your Distance! Using SecondOrder Ordinary Differential Equations to Model Traffic Flow
Mark McCartney
A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear secondorder differential equation with constant coefficients is solved and... More
pp. 588596

A Real Integral by Means of Complex Integration
E Capelas de Oliveira & Ary O. Chiacchio
This note presents and discusses a class of real integrals involving a hyperbolic function by means of complex integration. An integral representation is obtained which appears in several fields of... More
pp. 596601

On Young's Inequality
Ling Zhu
In this paper, an error in a wellknown work which claims to prove Young's inequality is discovered and a concise proof of Young's inequality is given. More
pp. 601603

Some Generalizations of Rolle's Theorem
J Das
In 1691 Michel Rolle (1652?1719) first published his famous result, now widely known as "Rolle's theorem", in an obscure book on geometry and algebra, named "Methode pour resoudre les egalites."... More
pp. 604608

The Discrete Hanging Cable
James V. Peters
Using the methods of finite difference equations the discrete analogue of the parabolic and catenary cable are analysed. The fibonacci numbers and the golden ratio arise in the treatment of the... More
pp. 608612

Modified Golomb Algorithm for Computing Unit Fraction Expansions
YiuKwong Man
In this note, a modified Golomb algorithm for computing unit fraction expansions is presented. This algorithm has the advantage that the maximal denominators involved in the expansions will not... More
pp. 612617

On Certain Properties of the Regular NSimplex
M A. ElGebeily & Y A. Fiagbedzi
The coordinates of an ndimensional regular simplex are found. These coordinates are used to derive properties of the regular simplex that generalize their two and threedimensional counterparts. More
pp. 617629