Ever since before I entered junior high, given

that many have said I am blessed because of having skills in

Mathematics-related kind of stuff, I became totally curious once I had heard

numerous different math terms and topics I had never heard and encountered

before in my grade school years from different people like my siblings – since they

are older than I. These terms include trigonometry, circular functions, algebra,

matrix, vector, polynomial functions, conjugate, rationalize, integration and

many more.

In

my junior high years, I admit that some of these terms and topics were

challenging for me, and had that difficulty that made me read all the lectures

that had discussed again and again until I became satisfied with my

understanding on that certain topic.

That adventure, honestly, was so fun. With that in mind, I truly hoped

that my journey would have had the same fun as before. That’s when before I

entered senior high school.

Calculus,

such a simple word to hear yet a complex and a rational word indeed, they say.

My brothers had told me, even though this one is difficult, but if it is me, I

can just remove the dirt on my shoulders, figuratively. Knowing how hard that

topic is after hearing such reviews and feedbacks from different persons who

have undergone the “excruciating” years in studying calculus, I now bother

researching and finding helpful videos to make me have background knowledge on the

said subject.

One of the leading branches of

mathematics is calculus. It is a mathematical study

of continuous change, in the same sense in algebra’s and geometry’s; the study

of shapes, and the study of generalizations respectively. It has two major fields:

one is differential

calculus – it deals

with the rates of change and slopes of curves. It also studies the

behavior and rate on how different quantities change. And the second one is called integral calculus that deals with the accumulation of

quantities and also the areas between and under curves as well. Even though the

said fields are said to be polar to each other since integration is the

opposite of differentiation, they are still linked and are related to each

other by the fundamental

theorem of calculus. Both fields make

use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit.

The

formal study of calculus had begun from the 17th century by well-known mathematicians

and scientists in the world, Isaac Newton and Gottfried Leibniz. The history

itself of the calculus didn’t begin with Newton’s and Leibniz’s findings but

their calculus

was the culmination of centuries of work by other mathematicians and

contributors; it is possible that it has been at use

as early as the Greek era since its elements have appeared in ancient Greece, then in China

and the Middle East, and still later again in medieval Europe and in India. Einstein’s and

Leibniz’s

Some of the ideas that had led to integral calculus were presented

and introduced in the ancient times. These ideas seemed to be that they were

not developed systematically and rigorously. Though some of the formulas lacked

major concepts and components and were simple to begin with, calculations of

volume and area were introduced and could be found in the Egyptian Moscow

papyrus. From the period

of Greek mathematics, the method of

exhaustion was used by Eudoxus, which foreshadows the concept of the

limit, to calculate areas and volumes, eventually made Archimedes develop this idea

further, inventing heuristics which resemble the methods of integral

calculus. The method of

exhaustion was then

discovered in China by Liu Hui and Zu Gengzhi independently.