A Closer Look Into Applied Mathematical Modeling

By Michael Bustamante

For many years, mathematics has been accessible to a restricted number of people, apparently endowed with some extraordinary attributes which made them capable of understanding its secrets. They were geniuses, lost in a world of numbers and equations, so little understood by the rest of the world. The utility of mathematics was somehow unclear until applied mathematical modeling came into being, allowing mathematics to be employed in everyday life.

Nowadays, mathematical modeling can be applied to almost any type of phenomenon, in any given study field. The result is the birth of mathematical models in biology, sports, medicine, engineering, physics, chemistry, education, or politics. Applied mathematical modeling implies not only building up of mathematical models but also studying the models through analytical or numerical methods. This ultimately leads to the development of possible solutions which are finally translated into common language. This new approach of mathematics can provide solutions to many questions still left unanswered with the help of mathematical models in biology, for example. Moreover, applied mathematical modeling can have a huge impact on future breakthroughs in medicine, saving the lives of many people.

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You may wonder what it takes to create mathematical models and what tools are used to turn mathematical conclusions into practical solutions. Technological progress has made it possible for various software programs to appear, bringing applied mathematical modeling closer to real life situations. The MAPLE software is an example of a valuable teaching tool which can be utilized in various fields from automotive and aerospace mathematical models to mathematical models in biology and electronics or education. Students and researchers can take advantage of this complex tool used to understand and create mathematical models.

There are many examples that could reveal the utility of applied mathematical modeling. Perhaps the most appreciated results were obtained through mathematical models in biology, as these models can be practically related to all aspects of life from the birth and death of whales to the onset and development of schizophrenia. It is very true that mathematical models can save endangered species from extinction, improve the quality of life of terminally ill people, increase sports performance, or make the educational process simpler and easier. But the fact is that applied mathematical modeling can supply the tools humanity needs in order to better understand the phenomena around them.

Whether your interest is in mathematical models in biology or in chemistry, it doesn’t really matter as long as the purpose of applied mathematical modeling is served. And there are specialists who know all about the secrets of applied mathematics and who can lecture on the studies they have conducted, methods they’ve used and results they have obtained. Their experience is invaluable, their mind processes are a rich source of inspiration for future generations, and their contribution needs to be properly valued and appreciated. Applied mathematical modeling is the method to turn a concept into reality and mathematical models are the adequate means to achieve that.

Mike is a Senior Lecturer for the University of Queensland, currently retired yet actively teaching 24 courses at the University. Mike specializes in Mathematics for Engineers, Biology and Mathematics, and is considered a leading authority on MAPLE Software, an innovative technology that he utilizes as a valuable teaching tool for modern Mathematics. Mike is also widely recognized and utilized for his research and consulting services.

About the Author: Mike Pemberton is a

applied mathematical modeling

specialist and member of Stanford Who’s Who

Business Social Network

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