How Calculus Has Helped Change The World Isaac Newton and Gottfried Leibniz introduced Calculus to the world. It is the math of motion and change, and as such, its invention required the creation of a new mathematical system, hence it is broadly used in all fields of engineering, sports, biology, economics, medicine etc. Also its just generally useful in life excluding academics. Calculus provides the language of economics and the means by which economists solve problems. Calculus is especially significant in illustrating what a leading economist calls a key principle of economics.
Calculus focuses heavily on functions and derivatives. In economic research they often examine functional relationships for example relationship between the dependent variable income and various predictors, or independent variables, such as education and experience. Its benefit in economics is that when determining marginal revenues and costs, it can help business managers maximize their profits and measure the rate of increase in profit that results from each increase in production.
As long as marginal revenue exceeds marginal cost, the firm increases its profits. And its significance is it provides a means for determining the amount of interest paid over the life of a loan. In engineering in particular, it is used to relate position, velocity and acceleration etc. Electrical engineers apply the principles of calculus to determine the length of electrical wire needed to hang wire in a curved, catenary pattern between two hydro towers.
When roads are constructed, particularly any with a curve or turn, engineers must take into account the slope of the curve, it’s possible tangents and the potential speed of vehicles as they travel around the curve to ensure safe speed limits are posted and the road is built with the safest conditions in mind. Basically, Calculus is the fundamental tool of maths that is applied to the real world. The invention of the Calculus was fundamental to the industrial revolution, where mathematics was used in the design of thermodynamic machines, structures and fluid flow.
It can be seen that the Calculus was one of the driving forces behind the industrial revolution and the inventions that were made during this time. It also allowed structural engineers to determine the relationship between vibrations and oscillations in structures and to help prevent them becoming a problem. This is why today, many structures are lighter and less ‘heavily engineered’ as older buildings – engineers can determine, through Calculus, what the minimum material and structural strength is required for supports and structures not to collapse; hence saving money and materials.
Excluding academics calculus helps us to be disciplined. Its hard so it demands attention to succeed. It is also determined as a form of mental exercise. Also for self assessment, challenging yourself is one of the best ways to know you. It’s also a great way to know whether or not you will be able to handle the hard stuff in life. Calculus is useful in day to day life in predicting the rates of change of various quantities. If you keep track of grocery price for a few days, you can predict the prices for a reasonable time further considering the rate of change.
In stock prices you can predict the future price of a stock after finding its rate of change. Since real life situations do not fit mathematical equations you can use them only as approximations. If you have habit of saving money regularly, you are using Integration function to predict how much your savings will be worth after accounting for the interest rates. It is true that we do not use complex equations but what we use in rate of change and accumulation calculations is really an important part of calculus.
Calculus has taught us much about the world as well. Using it, we have calculated gravity and the speed needed to exit the earth’s gravitational pull. This has allowed us to put satellites into a permanent orbit around the earth. Even though it is known to be the hardest math in the world with more F grade I think calculus has really made this world a better place to be in. Without it I think we could still be living in caves and there will not be any mode of transport and the most important thing education. References: ? www. ehow. com ? Wikipedia