Tuesday, November 21, 2017

Calculus - Defining the Effect of Change on Systems


A student at the Bronx High School of Science, Wataru Takada has completed numerous advanced courses in math and the sciences, from Honors Pre-Calculus to AP Physics. Wataru Takada has a longstanding passion for math and sat for the AP calculus BC exam so that he could take the highest level coursework possible during his senior year in high school. 

Calculus is distinct from Algebra, which focuses on relations and operations, with x and y used to represent numerical variables and constants. One of the oldest mathematical branches, it provides a basis for calculus, which focuses on the predictive qualities of mathematics and provides a framework for modeling how change occurs within systems. 

A fundamental idea developed by Isaac Newton was that change is most easily mapped over extremely small time intervals, for example, with the laws of motion applied to processes of acceleration. Through setting in place quantitative models of change, calculus enables analysts to map out the effects that conditions that change over time will have on systems. This in turn allows scientists and engineers to create a wide range of products with everyday applications, from airplanes to computers.

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