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International Journal of Mathematical Education in Science and Technology

August 2004 Volume 35, Number 4

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Table of Contents

Number of articles: 18

  1. 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. 475-485

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  2. 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. 487-501

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  3. Student Interpretations of the Terms in First-Order Ordinary Differential Equations in Modelling Contexts

    David R. Rowland & Zlatko Jovanoski

    A study of first-year undergraduate students' interpretational difficulties with first-order ordinary differential equations (ODEs) in modelling contexts was conducted using a diagnostic quiz, exam... More

    pp. 503-516

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  4. 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. 517-522

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  5. Using MathCAD to Teach One-Dimensional 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. 523-529

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  6. 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. 531-537

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  7. Energy Expansion for the Period of Anharmonic Oscillators by the Method of Lindstedt-Poincare

    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. 539-548

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  8. Modelling the Relative Contribution of Fasting and Post-Prandial 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. 549-552

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  9. 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. 553-564

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  10. 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. 565-583

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  11. Anticommutativity in Rings

    A B. Thaheem

    This note shows that for semiprime rings the anticommutativity implies commutativity. More

    pp. 585-587

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  12. Keep Your Distance! Using Second-Order 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 second-order differential equation with constant coefficients is solved and... More

    pp. 588-596

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  13. 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. 596-601

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  14. On Young's Inequality

    Ling Zhu

    In this paper, an error in a well-known work which claims to prove Young's inequality is discovered and a concise proof of Young's inequality is given. More

    pp. 601-603

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  15. 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. 604-608

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  16. 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. 608-612

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  17. Modified Golomb Algorithm for Computing Unit Fraction Expansions

    Yiu-Kwong 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. 612-617

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  18. On Certain Properties of the Regular N-Simplex

    M A. El-Gebeily & Y A. Fiagbedzi

    The coordinates of an n-dimensional regular simplex are found. These coordinates are used to derive properties of the regular simplex that generalize their two- and three-dimensional counterparts. More

    pp. 617-629

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