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Man, Yiu-Kwong; Poon, Kin-Keung – International Journal of Mathematical Education in Science and Technology, 2014

In this paper, we report a pilot study on engaging a group of undergraduate students to explore the limits of sin(x)/x and tan(x)/x as x approaches to 0, with the use of non-graphic scientific calculators. By comparing the results in the pretest and the post-test, we found that the students had improvements in the tested items, which involved the…

Descriptors: College Mathematics, Mathematics Instruction, Undergraduate Students, Calculators

Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2012

In this article, we present an integer sequence approach to solve the classic water jugs problem. The solution steps can be obtained easily by additions and subtractions only, which is suitable for manual calculation or programming by computer. This approach can be introduced to secondary and undergraduate students, and also to teachers and…

Descriptors: Undergraduate Students, Number Concepts, Problem Solving, Mathematics Instruction

Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2012

Partial fraction decomposition is a useful technique often taught at senior secondary or undergraduate levels to handle integrations, inverse Laplace transforms or linear ordinary differential equations, etc. In recent years, an improved Heaviside's approach to partial fraction decomposition was introduced and developed by the author. An important…

Descriptors: Tests, Algebra, Equations (Mathematics), Foreign Countries

Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2009

In this note, we present an improved Heaviside approach to compute the partial fraction expansions of proper rational functions. This method uses synthetic divisions to determine the unknown partial fraction coefficients successively, without the need to use differentiation or to solve a system of linear equations. Examples of its applications in…

Descriptors: Equations (Mathematics), Computation, Secondary School Mathematics, College Mathematics

Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2007

A simple algorithm for computing the partial fraction expansions of proper rational functions with multiple poles is presented. The main idea is to use the Heaviside's cover-up technique to determine the numerators of the partial fractions and polynomial divisions to reduce the multiplicities of the poles involved successively, without the use of…

Descriptors: Calculus, Mathematics, Computation, Methods