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Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2011

We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data. We estimate the parameters present in several differential equation models of chemical reactions of order n, where n = 0, 1, 2, and apply more general…

Descriptors: Kinetics, Chemistry, Calculus, Equations (Mathematics)

Robinson, G.; Towers, I. N.; Jovanoski, Z. – International Journal of Mathematical Education in Science and Technology, 2009

We introduce a model of radiative transfer in circumstellar dust shells. By assuming that the shell is both isothermal and its thickness is small compared to its radius, the model is simple enough for students to grasp and yet still provides a quantitative description of the relevant physical features. The isothermal model can be used in a…

Descriptors: Models, Mathematics, Computation, Science Instruction

Ang, Keng-Cheng – International Journal of Mathematical Education in Science and Technology, 2008

The boundary element method provides an excellent platform for learning and teaching a computational method for solving problems in physical and engineering science. However, it is often left out in many undergraduate courses as its implementation is deemed to be difficult. This is partly due to the perception that coding the method requires…

Descriptors: Engineering Education, Computer Uses in Education, Computer Software, Computation

Mickens, R. E.; Rucker, S. – International Journal of Mathematical Education in Science and Technology, 2008

A method is presented to calculate accurate approximations to the half-life values of elimination systems modelled by one compartment. The major advantage of this method is that only algebraic mathematical operations are required. The results will be of value not only to students beginning the study of elimination kinetics, but also to…

Descriptors: Computation, Models, Engineering, Kinetics

Salisbury, K. L.; Knight, D. G. – International Journal of Mathematical Education in Science and Technology, 2002

The way in which computer algebra systems, such as Maple, have made the study of physical problems of some considerable complexity accessible to mathematicians and scientists with modest computational skills is illustrated by solving the multiple pendulum problem. A solution is obtained for four pendulums with no restriction on the size of the…

Descriptors: Laboratory Equipment, Algebra, Computer Software, Computation