Ever major fields: one is differential calculus –

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Last updated: May 11, 2019

             Eversince before I entered junior high, given that many have said I am blessedbecause of having skills in Mathematics-related kind of stuff, I became totallycurious once I had heard numerous different math terms and topics I had neverheard and encountered before in my grade school years from different peoplelike 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.             Inmy junior high years, I admit that some of these terms and topics werechallenging for me, and had that difficulty that made me read all the lecturesthat had discussed again and again until I became satisfied with myunderstanding on that certain topic. That adventure, honestly, was so fun.

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With that in mind, I truly hopedthat my journey would have had the same fun as before. That’s when before Ientered 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, Ican just remove the dirt on my shoulders, figuratively. Knowing how hard thattopic is after hearing such reviews and feedbacks from different persons whohave undergone the “excruciating” years in studying calculus, I now botherresearching and finding helpful videos to make me have background knowledge on thesaid subject. One of the leading branches ofmathematics is calculus. It is a study ofcontinuous change, in the same mathematical sense in algebra’s and geometry’s;the study of shapes, and the study of generalizations respectively. It has twomajor fields: one is differentialcalculus – it dealswith the rates of change and slopes of curves.

It also studies thebehavior and rate on how different quantities change. And the second one is called integral calculus that has to deal with the accumulation ofquantities and the areas between and under curves as well. Even though the saidfields are said to be polar to each other since integration is the opposite ofdifferentiation, they are still linked and are related to each other bythe fundamentaltheorem of calculus. Both fields makeuse of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. 

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