Question

write an essay that sumarizes what you have learned in the calculus??

a curious person but not at home at math. Use your words to describe what calculus is. Select at least three topics that interest you the most, and describe their underlying mathematical principle. Additionally, describe if you acquire better study and thinking skills through learning calculus, and how such skills may help in your future courses. Be creative! at math. Use your words to describe what calculus is. Select d snounee at least three topics that interest you the most, and describe their underlying mathematical principle. Additionally, describe if you acquire better study and thinking skills through learning calculus, and how such skills may help in your future courses. Be creative!

Answer 1

Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects.

There are 2 different fields of calculus. The first subfield is called differential calculus. Using the concept of function derivatives, it studies the behavior and rate on how different quantities change. Using the process of differentiation, the graph of a function can actually be computed, analyzed, and predicted. The second subfield is called integral calculus. Integration is actually the reverse process of differentiation, concerned with the concept of the anti-derivative. Even though these 2 subfields are generally different form each other, these 2 concepts are linked by the
fundamental theorem of calculus.

The most common practical use of calculus is when plotting graphs of certain formulae or functions. Using methods such as the first derivative and the second derivative, a graph and its dimensions can be accurately estimated. These 2 derivatives are used to predict how a graph may look like, the direction that it is taking on a specific point, the shape of the graph at a specific point (if concave or convex).and to mind maximum and minimum point for the given curve.
The most common use of calculus is finding the area under the curve.

Why calculus is important?
Calculus have many physics, engineering, economics, statistics, and medicine. It is used to create mathematical models in order to arrive into an optimal solution. For example, in physics, calculus is used in a lot of its concepts. Among the physical concepts that use concepts of calculus include motion, thermodynamics, electricity, heat, light, harmonics, and dynamics. In fact, even advanced physics concepts including electromagnetism and Einstein's theory of relativity use calculus. In the field of chemistry, calculus can be used to predict functions such as reaction rates and radioactive decay. Meanwhile, in biology, it is utilized to formulate rates such as birth and death rates. In economics, calculus is used to compute marginal cost and marginal revenue, enabling economists to predict maximum profit in a specific setting.
One of the application of calculus in business is the evaluation of the area under a function. This can be used in a probability model. Probability is another uses in integral calculus for business because you could find how often something will appear in a certain range in a certain time. A function used for probability in uniform distribution.

From all the above applications of calculus we can conclude that calculus has a huge role in the real world. For most fields learning of the calculus is vital.