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Integrating Math & Other Subjects

Instructor: Michael Eckert

Michael has a Bachelor's in Environmental Chemistry and Integrative Science. He has extensive experience in working with college academic support services as an instructor of mathematics, physics, chemistry and biology.

Math can be integrated into just about everything we learn and do as a society. From academia to the industrial and professional world, math is used to model and solve problems. Further, math is simply essential in much of day-to-day life.

Math is Integral

Math is necessary to the operation and progression of much that we hold dear as a society. We not only use it to solve problems in academia, in problems in physical and natural sciences, social science, and philosophy, but we also use math in real-world problems in fields such as engineering, applied chemistry, and biology.


The Solar System
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Furthermore, we see math applied in industry--such as construction and business--as well as in day-to-day life, e.g. in home economics, from sewing to cooking. In fact, math is so integral to our society that it even permeates our culture, whether deliberate or not, into that which we deem art.


Acropolis
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Math in Areas of Academia

We see math applied in many areas of academics, from physical and natural sciences to the social sciences and philosophy.

Math in Hard Science

Whether we are looking at the study of genetics in biology or quantum theory in physics, we see math as necessary to further our understanding of the subject matter. We might use calculus to model rates of change in the movement of sub-atomic particles. We might use statistics to further our understanding of DNA sequencing. In terms of academic articles, we only need to peruse them to see that math is implemented in the scientific process through hypotheses, general theory, experimentation, and conclusions. In other words, our very arguments are based in mathematics.

Math in Social Science and Philosophy

Again, as with the hard sciences, statistics and probability are often essential in making coherent and empirical arguments in academia. Often, statistical analysis is applied for empirical results, as seen in psychological and sociological experiments containing control and test groups with multiple possible hypothetical outcomes (for example, as seen in the Chi-Squared Test, which is used to model degrees of freedom or relevance of data). We see logic applied in areas of philosophy. More specifically, we might see propositional logic used to form an argument or to prove or disprove a current argument.

Math in Engineering and Applied Science

In probably no other field, aside from physical science, is math as necessary as it is in engineering. For instance, we see math applied in civil engineering and mechanical engineering through statics and dynamics, i.e., the study of structural and material integrity in building and design. We may see advanced linear algebra or matrices applied in computer engineering through software development and programming.

Math in Industry and Business

In industry, such as construction and business, application of math is also unavoidable. Starting with architecture, geometric concepts, such as the Pythagorean Theorem and other concepts involving side/angle relationships, are used in the creation of structures. Trigonometric concepts may be applied as well when building more complex structures, as seen in architecture. Regarding business, we might see exponential, power or logarithmic functions applied to compounding interest or reducing balance loans. We may see statistics applied in the calculation and interpretation of data like seasonal indices.


Temperature Scales
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Math in Day to Day Life

Math is so very important to our society that we find its use not only in academia, hard and soft sciences, and in applied sciences and industry, but in everyday life.

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