User:EmilyOates

Emily Oates- Land and Food Systems

Pythagorean Theorem

The Pythagorean Theorem, otherwise known as the Pythagorean Equation, can be written as the equation : a²+b²=c². This equation was formulated after a Greek Mathematician named Pythagoras, although there is much debate to the actual origins of the theorem. By knowing two sides of a right angled triangle, this equation allows us to figure out the third side. An important fact to note is that the C is represented by the hypotenuse, which is the longest side of a triangle, and A and B refer to the lengths of the other two sides. It is also important to realize that whenever referring to the theorem, one is relating the area of squares on the sides of the triangle. In addition, the Pythagorean Theorem can be used throughout various aspects of mathematics. Such topics can vary from the law of cosines, three dimensional geometry, hyperbolic geometry and differential geometry, just to name a few.

Calculus Applications:

Wanting to pursue a career in the sciences, calculus plays an integral role in my getting there. It is seen throughout various occupations within the field, and is needed for various applications. For instance, for medical purposes, calculus is used to measure certain injuries of the head caused by impact. This can be seen when testing new cars, they use calculus to determine the crash test dummies injuries, and where they can improve the models. Calculus is important to asses the damage an individual would be subjected to. In addition, in biology and chemistry, calculus is used constantly in determining half lives. Also, it is used in medical research and analysis daily. When dealing with the human body it allows us to measure angles of blood vessels, and shows the rate at which a particular drug is eliminated from a patient. It helps determine the correct dosage of medication. As well, It allows us to study graphs, determine reaction rates and decay. When used in conjunction with population dynamics, it allows us to correlate between birth and death rates, and shows a model of population change. All in all, calculus paints a picture for is in which we can view, relate and analyze extremely important data related to the health sector. Without it we would surely not be where we are today.